PLEASE HELP I DON'T UNDERSTAND THE QUESTION. THANK YOU :)

PLEASE HELP I DON'T UNDERSTAND THE QUESTION. THANK YOU :)

Answers

Answer 1

ABC and DEC are similar, since the line segments AB and DE are parallel.

This means corresponding sides of these triangles occur in a fixed ratio with one another.

In particular, this tells us

DE/AB = DC/AC

or

7/11 = 15/(15 + x)

Solve for x:

11/7 = (15 + x)/15

11/7 = 1 + x/15

4/7 = x/15

x = 60/7


Related Questions

Paper and Pencil Construction: Construct a Line Perpendicular to a Given Line through a Point on the Line

Answers

Step-by-step explanation:

wait a person was about to report it sorry ;/

had to take it off

1 point
Bob is flying his kite while standing in his yard and the kite is flying over
his friends house. He know the string is 75 ft long and the angle the string
where he is holding it makes a 35° angle with the ground. How far is Bob
from his friends house?
43 ft
61 ft
75 ft
35 ft

Answers

Answer:

Ground distance of Bob  from his friends house = 61 ft (Approx)

Step-by-step explanation:

Given:

Length of string = 75 ft

Angle with the ground = 35°

Find:

Ground distance of Bob  from his friends house.

Computation:

Using trigonometric application:

⇒ Cos [tex]\theta[/tex] = Base / Hypotenuse

⇒ Cos 35° = Base / 75

⇒ 0.819 = Base / 75

⇒ Base = 61.425 ft

Ground distance of Bob  from his friends house = 61 ft (Approx)

Given m \| nm∥n, find the value of x. m n t (4x-18)° (3x-8)

Answers

Answer:

12x2

Step-by-step explanation:

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Analysis reveals that a company had a net increase in cash of $21,760 for the

current year. Net cash provided by operating activities was $19,600; net cash

used in investing activities was $10,800 and net cash provided by financing

activities was $12,960. If the year-end cash balance is $26,400, the beginning

cash balance was:

Answers

Answer:

Beginning Cash balance was $4,640.

Step-by-step explanation:

Net cash flow from operating activities =      $19,600

Net cash flow used in investing activities = ($10,800)

Net cash provided by financing activities =  $12,960

Net increase in cash                                      $21,760

Beginning cash balance = Closing balance  ($26,400) less net increase in cash ($21,760)  = $4,640

The increase in cash represents the cash that was generated from operating, investing, and financing activities.  These three activities are the classifications of an entity's activities.  Operating activities are those activities that are normal to the business, i.e. activities the business undertakes under its mission.  The investing activities arise from the purchase and sale of investments.  These are not normal activities of most entities, except investment companies.  Financing activities are activities engaged by an entity to raise finance, including the repayment of the borrowed funds plus interest.

Error Analysis A math test asks the students to solve the inequality X-2<16, and then graph the
solutions. Mason said the solutions are x < 14 and graphed the solutions as shown below. Solve
the inequality and graph the solutions. What error might Mason have made?
What are the solutions?

Answers

Answer:

The solution is X<18

Step-by-step explanation:

When Mason was solving the inequality he subtracted two from the equation instead of adding two to solve for x.

X-2<16

X<18

Answer:

x < 18

Step-by-step explanation:

x - 2 < 16

We eliminate 2 to isolate the variable, x by adding 2 to both sides. -2 + 2 = 0.

x < 18

We can test this because 17 is less than 18. Pretend x = 17

17 < 18✅

Mason subtracted 2, instead of adding 2.

In order to graph this, put an open circle at 18, and the arrow should point to the left.

Hope this helps ;D

A 100-gallon barrel, initially half-full of oil, develops a leak at the bottom. Let A(t) be the amount of oil in the barrel at time t. Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel. The mathematical model is:___________.
(a) =kA, A(0) = 0
(b) A = ktA, A(O) = 50
(c) A tA, A(0) = 100
(d) A = két +A), A
(e) = 50 None of the above.

Answers

Answer:

the mathematical model is : [tex]-\frac{1}{A}= kt - \frac{1}{50}[/tex]

Step-by-step explanation:

Given that:

Let A(t) to be the amount of oil in the barrel at time t.

However; Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel.

Then,

[tex]\frac{dA}{dt} \ \alpha \ A^2[/tex]

[tex]\frac{dA}{dt}= KA^2[/tex]

Initially the 100 -gallon barrel is half-full of oil

So, A(0) = 100/2 = 50

[tex]\frac{dA}{dt}= KA^2 \ \ \ \ \ \ :A(0)=50[/tex]

The variable is now being separated as:

[tex]\frac{dA}{A^2}=kdl[/tex]

Taking integral of both sides; we have:

[tex]\int\limits\frac{dA}{A^2}=\int\limits \ kdt[/tex]

[tex]-\frac{1}{A}= kt +C[/tex]

However; since A(0) = 50; Then

t = 0  ; A =50 in the above equation

[tex]-\frac{1}{50}= 0 +C[/tex]

[tex]C = - \frac{1}{50}[/tex]

Thus; the mathematical model is : [tex]-\frac{1}{A}= kt - \frac{1}{50}[/tex]

What type of angels are <1 and <4?

Answers

opposite angels .....
ANSWER: VERTICAL ANGLES

i got +2 is that the correct answer

Answers

Answer:

Option (1)

Step-by-step explanation:

Quadratic equation is given as,

2x² + 8 = 0

Let the function is,

f(x) = 2x² + 8

f(x) = 2(x - 0)² + 8

Now we will prepare the table for every input value,

x    -2      -1         0        1          2

y     16      10       8        10        16

By plotting these points we get a parabola having vertex at (0, 8).

Graph of the given function doesn't touches or intersects the x-axis.

And we know if a graph has no x-intercept, function graphed will have no real solution.

Therefore, function f(x) will have no real solutions.

Option (1) will be the answer.

The six faces of a cube are painted black. The cube is then cut into [tex]5^3 = 125[/tex] smaller cubes, all the same size. One of the small cubes is chosen at random and rolled. What is the probability that when it lands, the face on the top is black?

Answers

Answer:

The probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.

Step-by-step explanation:

We have a cube, with the faces painted black, that each side is divided in 5, so we end up with 125 cubes.

We have to calculate the probability that a randomly selected cube is rolled and the face on the top is black.

This probability is equal to the proportion of black area in the total area of the cube.

We can define the side of the original cube as A=5a, being a the side of the small cubes.

The area that is painted black is equal to the sum of 6 squares of side A. In terms of a, that is:

[tex]S_b=6\cdot A^2=6\cdot(5a)^2=6\cdot25a^2=150a^2[/tex]

The total area of the 125 small cubes is:

[tex]S=125(6a^2)=750a^2[/tex]

Then, the ratio of black surface to the total surface is:

[tex]s_b/s=(150a^2)/(750a^2)=0.2[/tex]

Then, we can conclude that the probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.

HELPPPPP ASAP I NEED IT I BEG OF U I DONT UNDERSTAND THIS PLSSSSSSSS

Ross walks every morning. He can cover 6 miles in 2 hours.
His speed is___
miles per hour. He can cover_____
more miles in 4 hours than he can in 3 hours.

Answers

Answer:

speed = distance ÷ time

6÷2 = 3

his speed is 3 miles per hour

he can cover 3 more miles....

his speed is three miles per hour hope this helps

A retail store had sales of $45000 in April and $56000 in May. The store employs eight full time workers who work 40 hours per week. In April the store also had seven part time workers at 10 hours per week, and in may the store had 9 part time workers at 15 hours per week. Using sales dollars as the measure for output, what is the percentage of change in productivity from April to May?

Answers

I will do the homework assignment tomorrow and thank ya ya

The percentage of change in productivity from April to May is found to be 6.66%.

Productivity ChangeWhat is meant by change in productivity?

A change in labour productivity reflects an output change that cannot be accounted for by a change in the number of hours worked. The development of technology over time might lead to an increase in output per hour enhanced employee skills.

Step by step solutionStep 1: Productivity for month of April

We must first determine the number of man hours worked in April in order to compute the percentage change in productivity:

8 employs worked for 40 hours along with 7 employs worked for 10 hours in a week( total 4 weeks in April).

Input of April is,

= 8×40 + 7×10×4

= 1560 hours

To determine the productivity in April, divide the total sales by the number of man hours:

= 45000/1560

= 28.846

Step 2: Productivity for month of May

8 employs worked for 40 hours along with 9 employs worked for 15 hours in a week( total 4 weeks in April).

Input of May is,

= 8×40 + 9×15×4

= 1820 hours

To determine the productivity in April, divide the total sales by the number of man hours:

= 56000/1820

= 30.769

Step 3: Calculate the total productivity

Finding the difference between productivity in each month and dividing by April's productivity percentage yields the percent change in productivity:

= [tex]\frac{30769-28.846}{28.846}[/tex]×[tex]100[/tex]

= 6.66 %

Therefore, the productivity from April to May increased by 6.66%.

To know more about how to find percentage change, here

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Calculate the slope between the two points: (7, –4), (7, 8)

Answers

Answer:

undefined

Step-by-step explanation:

We can find the slope by using the formula

m = (y2-y1)/(x2-x1)

m = (8 - -4)/97-7)

   = (8+4)/(7-7)

   = 12/0

We cannot divide by 0 so the slope is undefined

Para ir a visitar a los abuelos Paula y Mario se ponen de acuerdo en que Paula vaya cada 5 días y Mario cada 6 días. Si coincidieron el 24 de diciembre,

a) ¿Cuándo volvieron a coincidir?

b) ¿Cuántas visitas habrá hecho cada uno?

Answers

Answer:

a) January 24(24 de Enero)

b) Paula will have made 5 visits(Paula habrá hecho 5 visitas). Mario will have made 4 visits(Mario habrá hecho 4 visitas).

Step-by-step explanation:

When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.

In this question:

Paula each 5 days

Mario each 6 days

Multiples of 5: {0, 5, 10, 15, 20,25,30, ...}

Multiples of 6: {0, 6, 12, 18, 24, 30, ...}

a) ¿Cuándo volvieron a coincidir?

lcm(5,6) = 30

30 days from December 24, which is January 24(24 de Enero).

b) ¿Cuántas visitas habrá hecho cada uno?

Paula visits each 5 days.

30 is 6th non-zero multiple of 5. This means that on January 24 will be her 6th visit. So she will have made 5 visits.

30 is the 5th non-zero multiple of 6. This means that on January 24 will be her 5th visit. So he will have made 4 visits.

Calculate the standard score of the given X value, X=28.3, where μ=26.3 and σ=28.1 and indicate on the curve where z will be located. Round the standard score to two decimal places.

Answers

Answer:

Standard score z=0.07

Step-by-step explanation:

The z-score, or standard score, represents an equivalent value for X but in the standard normal distribution, where μ=0 and σ=1.

For X=28.3 in a normal distribution with μ=26.3 and σ=28.1, the standard score can be calculated as:

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{28.3-26.3}{28.1}=\dfrac{2}{28.1}=0.07[/tex]

This value is 0.07 standard deviations right to the mean.

In the picture attached, we have located the z-score.        

There are 454 grams in a pound. Convert 330 grams to ounces.

Answers

Answer:

11.62 ounces

Step-by-step explanation:

Awnser in the lowest terms 5 years 6 months + 8 years 9 months

Answers

Answer:

14 years 3 months.

Step-by-step explanation:

5 + 8 = 13 years

6 + 9 = 15 months = 1 year 3 months.

Total = 14 years 3 months.

Simplify the expression sin 2x+ sin x + cos2x - 1.

Answers

Answer:

Sin(2x)+sin(x)+cos(2x)-1

Step-by-step explanation:

A scientist needs 10mL of a 17% acid solution for an experiment. The lab has available a 20% solution and a 10% solution. How many milliliters of the 20% solution and how many milliliters of the 10% solution should the scientist mix to make the 15% solution?

Answers

This is hard help get it from google or something

A standard deck has 52 cards consisting of 26 black and 26 red cards. Three cards are dealt from a shuffled deck without replacement. Let A=first card red and B=second card red. Are A and B independent? Explain why or why not.

Answers

They aren't independent since the probability uses all the cards in the deck

So at the first deal we have the chance of 26/52 of getting a red card, at the second deal we have the chance of a 25/51 of getting another red card, so they aren't independent

For a given rectangle, the length= 3x +2 and the width = 5. What is the area of the rectangle?

Answers

Answer:

  15x+10

Step-by-step explanation:

The area of a rectangle is given by the formula ...

   A = LW

Fill in the given values and simplify.

  A = (3x+2)(5)

  A = 15x +10

The area of the rectangle is 15x+10.

Answer:

[tex]15x + 10[/tex]

Step-by-step explanation:

[tex]area = length \times width \\ = 3x + 2 \times 5 \\ = 5(3x + 2) \\ = 15x + 10[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

According to a study conducted by the Toronto-based social media analytics firm Sysomos, of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January ). Suppose we randomly select tweets.a. What is the expected number of these tweets with no reaction (to the nearest whole number)
a) What is the expected number of these tweets with no reaction?
b) What are the variance and standard deviation for the number of these tweets with no reaction?

Answers

Answer:

a) E(X) = 71

b) V(X) = 20.59

Sigma = 4.538

Step-by-step explanation:

The question is incomplete:

According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).

Suppose we randomly select 100 tweets.

a) What is the expected number of these tweets with no reaction?

b) What are the variance and standard deviation for the number of these tweets with no reaction?

This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.

The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

[tex]E(X)=n\cdot p=100\cdot 0.71=71[/tex]

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

[tex]V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59[/tex]

Then, the standard deviation becomes:

[tex]\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538[/tex]

On moving day, Jorge needs to rent a truck. The length of the cargo space is 12 ft, and the height is 1 ft less than the width. The brochure indicates that the truck can hold 504 ft3. What are the dimensions of the cargo space? Assume that the cargo space is in the shape of a rectangular solid.

Answers

Answer:

12ft [tex]\times[/tex]7ft [tex]\times[/tex]6ft

Step-by-step explanation:

Given that truck can hold = 504 [tex]ft^{3}[/tex] i.e.

Volume, V = 504 [tex]ft^{3}[/tex]

Length of cargo space = 12 ft

Let width of cargo space = w ft

As per question statement:

Let height of cargo space = (w-1) ft

To find: The Dimensions of Cargo Space

Formula for Volume of Cargo Space:

V = Length [tex]\times[/tex] Width [tex]\times[/tex] Height

Putting the given values and conditions:

504 = 12 [tex]\times[/tex] [tex]w \times (w-1)[/tex]

[tex]\Rightarrow w(w-1) = \dfrac{504}{12}\\\Rightarrow w^{2} -w = 42\\\Rightarrow w^{2} -w - 42=0\\\Rightarrow w^{2} -7w +6w -42 =0\\\Rightarrow w(w -7) +6(w -7) =0\\\Rightarrow (w -7)(w+6) = 0\\\Rightarrow w =7, -6[/tex]

Dimensions can not be negative, so width, w = 7 ft

Height = (w-1) = 7-1 = 6 ft

So, the dimensions are 12ft [tex]\times[/tex]7ft [tex]\times[/tex]6ft.

The scale of the drawing shows that 1” = 10 feet. If the drawing
shows the height of the building as 6 inches, how tall is the
actual building?

Answers

Answer:

60 foot

Step-by-step explanation:

Just multiply by 10?

1. Joy bought jewelry at a crafts fair. She bought a necklace for $8 and
some bracelets for $5 each. She spent $23 in all. Write and solve equation
that can be used to find the number of bracelets she bought​

Answers

Answer:

5y + 8 < 23  and y < 3

2c - 3 = 9

Step-by-step explanation:

She bought a jewelry at a craft fair . The necklace is $8 and the bracelet is $5 each. Her total expenses is $23.

She bought a single necklace. The number of bracelet she bought is unknown but each of the bracelet she bought is $5 each. The number of bracelet she bought can be represented below.

Let

y = number of bracelet bought

Therefore, the cost of the total number of bracelet will be 5y

Recall the total expenses is $23

5y + 8 < 23  and y < 3

if you insert the value of y in the following inequalities the resulting value should be less than 23 so the value of y should be less than 3.

2. 2c - 3 = 9

In a restaurant 40% of the customers choose Chinese food while 65% opt for Pakistani food .if the restaurant is visited by 260 people then how many opt for both in quarter ? Ans is 39 please give the working ?

Answers

Answer:

13 ppl choose both

Step-by-step explanation:

Hello,

In a restaurant 40% of the customers choose Chinese food

while 65% opt for Pakistani food.

if the restaurant is visited by 260 people then how many opt for both ?

There are 260 people we need to compute

40% of 260 = 40*260/100 = 104 to know the customers choosing Chinese food

65% of 260 = 65 * 260/100 = 169  to know the customers choosing Pakistani food

There are ppl choosing both Chinese and Pakistani, let s note x

we can say that 104 + 169 -x = 260

so x = 273-260=13

in conclusion, 104-13=91 ppl choose Chinese food only

169-13=159 ppl choose Pakistani food only

13 ppl choose both

in total there are 91 + 159 + 13 = 260

hope this helps

The number of people who opt for both Chinese and Pakistani food is 13.

We have,

Let's denote the number of people who choose Chinese food as "C" and the number of people who choose Pakistani food as "P".

We are given that 40% of the customers choose Chinese food, which means

C = 40% of 260.

C = 0.4 * 260

C = 104

Similarly, we are given that 65% of the customers opt for Pakistani food, which means

P = 65% of 260.

P = 0.65 * 260

P = 169

Now, we need to determine the number of people who opt for both Chinese and Pakistani food.

To find this, we can use the principle of inclusion-exclusion.

The total number of people who opt for both is given by:

Total = C + P - Both

We know that the total number of customers is 260, so:

260 = 104 + 169 - Both

Rearranging the equation to solve for Both:

Both = 104 + 169 - 260

Both = 273 - 260

Both = 13

Therefore,

The number of people who opt for both Chinese and Pakistani food is 13.

Learn more about percentages here:

https://brainly.com/question/11403063

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Johana works in the crime lab at the New York City Police Department. A woman’s shoe was found at a crime scene. Johana measures it and then uses the following function equation to predict the estimated height of the suspect: y =1.19x+56 where x represents a woman’s shoe size and y represents the estimated likely height of the woman in inches. a. Using a calculator, determine an ordered pair that is a solution to this function. b. Interpret your solution in the context of this problem, using one or more complete sentences. Use the information given in the problem when describing the values of your input and output. 58

Answers

Answer:

(7, 64.33)

Step-by-step explanation:

For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:

[tex]y=1.19x+56,$ where:\\x = woman's shoe size\\ y= the estimated likely height of the woman in inches.[/tex]

(a)Let x=7

Then:  y =1.19(7)+56=64.33

An ordered pair that is a solution to the function is (7, 64.33)

(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.

what is the quotient of 2/3 and 2/g ?

Answers

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction. Therefore, 1 1/6 is the quotient of the division problem (2/3) / (4/7).

What value of y satisfies the system of equations {9x+2y=24y=6x+19? Enter your answer as the correct value for y, like this: 42

Answers

Answer:

Step-by-step explanation:

9x + 2y = 24  (A)

y = 6x + 19 ------ > y - 6x = 19 * (-2) -------> -2y + 6x = -38 (B)

(A) + (B)

15x = -14

x = -14/15

y = 6 * (-14/15) + 19 = -28/5 + 19 = 67/5

Answer:

A. 9x + 2y = 24  

what is the next term in the arithmetic sequence? 9,17,25,33,...

Answers

Answer:

41

Explanation:

To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.

Take a look at the arithmetic sequence given:

9, 17, 25, 33,...

Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.

9 - first term

17 - second term

17 - 9 = 8

So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.

9, 17, 25, 33,...

9 + 8 = 17

17  + 8 = 25

25 + 8 = 33

So, since 'adding eight' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next term.

9, 17, 25, 33,...

33 + 8 = 41

9, 17, 25, 33, 41,...

Therefore, the next term in the arithmetic sequence is 41.

Kim and Dan sold 160 homes together. Kim sold 4 times more than Dan. How many homes did Kim sell?

Answers

Kim has sold 128 houses.

160 - 32 = 128.
32 • 4 = 128.

Kim has sold 128 houses.
Dan has sold 32 houses.
Other Questions
Please help with this simple attachment Extremely Easy! What might student leadership have to do with kindness? Why were the imperialistic attitudes of the European nations called "Social Darwinism?"A) Darwinism is about the survival of the fittest - and European nations believed they must colonize or be colonized - that the strongest would win out.B) African nations needed leadership, and it was the Europeans role as the social leaders to assist them in their movements for peace and independence.C) European nations hoped to contribute to the industrialization process of colonized lands, earning them the title of "Social."D) Because Darwin wrote about it and said Europeans had to colonize other nations for their own good since they were superior 1. Cecilias grandfather set up a savings account for her with a $25,000 gift when she was born. The account accumulated interest annually at a rate of 6% per year and no other deposits were made to the account. Cecilia is 21 years old today. To date, how much has accumulated in the account? Determine whether the results appear to have statistical significance, and also determine whether the results appear to have practical significance. In a study of a gender selection method used to increase the likelihood of a baby being born a girl, 1961 users of the method gave birth to 961 boys and 1000 girls. There is about a 20% chance of getting that many girls if the method had no effect. 1. Does the weight loss program have statistical significance?A. Yes, the program is statistically significant because the results are unlikely to occur by chance.B. Yes, the program is statistically significant because the results are likely to occur by chance.C. No, the program is not statistically significant because the results are likely to occur by chance.D. No, the program is not statistically significant because the results are unlikely to occur by chance.2. Does the weight loss program have practical significance?A. Yes, the program is practically significant because the results are too unlikely to occur by chance.B. No, the program is not practically significant because the results are likely to occur even if the weight loss program has no effect.C. No, the program is not practically significant because the amount of weight lost is trivial.D. Yes, the program is practically significant because the amount of lost weight is large enough to be considered practically significant. Help please with questions 1-2 15 points Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.What is the volume of the box? 192in 275in 37512 in 425in if the perimeter of a square gardern is 84feet . what is the area of the qardern ?Prefieres este vidrio o __________ que esta alla? eso este esta aquel The fiscal year-end unadjusted trial balance for Garcia Company is found on the trial balance tab. Rent expense and salaries expense are equally divided between selling activities and general and administrative activities. Garcia Company uses a perpetual inventory system. Descriptions of items that require adjusting entries on January 31, 2019, follow. 1. Store supplies still available at the fiscal year-end amount to $2,150. 2. Expired insurance, an administrative expense, for the fiscal year is $1,560. 3. Depreciation expense on store equipment, a selling expense, is $6,700 for the fiscal year. 4. To estimate shrinkage, a physical count of ending merchandise inventory is taken. It shows $10,150 of inventory is still available at fiscal year-end. Compute the current ratio, acid-test ratio, and gross margin ratio as of January 31, 2017. (Round your answers to 2 decimal places.) What could the hardness of a mineral be if it can be scratched by your fingernail? The measures of two supplementary angles are 4x and 2x. Write and solve an equation to find the measure of each angle. Equation: ________________________Answer: _____________________________ Here are four equations connecting x and y.kis a constantMatch each equation to one of the statements A B C or D.Equation 1 Equation 2 Equation 3 Equation 4y=kxy=Ay is directly proportional to xBy is directly proportional to xCy is inversely proportional to xDy is inversely proportional to xView One Minute Version Marie dreamed of chocolate, but it lacked $10. Vaso also dreamed of a chocolate, but he lacked $1. Children decided to buy at least one chocolate for two, but they still need $1. What is the cost of the chocolate? 4. The Pendleton Act of 1883 put in place a system based on merit, replacing WHICH of the following previous systems?Promotion by patronage (the spoils system)Promotion by land ownership (the wealth systemPromotion by wealth (the money system)Promotion by military rank (the war system) Arbitrage and spot exchange rates Suppose you trade dollars and euros for a bank that has branches in Los Angeles and Frankfurt. You can electronically transfer the funds between the two branch locations at no cost, and trading commissions are negligible. The current dollar-per-euro exchange rate in Los Angeles is E$/EURLA=1.5952E$/EURLA=1.5952 , while in Frankfurt, it is E$/EURFR=1.6244E$/EURFR=1.6244. You can make a profit for the bank if you buy euros in________and sell them in_______. Assuming other foreign exchange traders face the same exchange rates you do, they will buy dollars in and sell them in_______. As a result, the dollar-per-euro exchange rate in Frankfurt (E$/EURFRE$/EURFR) will______, and the dollar-per-euro exchange rate in Los Angeles (E$/EURLAE$/EURLA) will________. A car weighing 1600 kg is accelerated to 30m/s from start in 20s. Calculate theacceleration of the car and the magnitude of the force applied. You pay $23,100 to the Laramie Fund, which has a NAV of $21 per share at the beginning of the year. The fund deducted a front-end load of 5%. The securities in the fund increased in value by 10% during the year. The fund's expense ratio is 1.6% and is deducted from year-end asset values. What is your rate of return on the fund if you sell your shares at the end of the year HELP ME PLEASE WILL MARK BRAINLIEST 20 POINTS Please use a system of equations to solve this problem. I already know how to solve this, but I want to know how to solve it using a system of equations!!! A writing workshop enrolls novelists and poets in a ratio of 5:3. There are 24 people at the workshop. How many novelists are there and how many poets are there?