Need help with this!!

Answer:

(-x + 3)/4 = 12

Step-by-step explanation:

By doing the workingout for this expression you will get the same solution.

Answer:

When the truck is full: [tex]g_{mf} = \frac{m}{8}[/tex]

When the truck is empty: [tex]g_{me} = \frac{m}{9.6}[/tex]

Step-by-step explanation:

When the truck is full for every eight miles traveled by the vehicle, there is a cost of one gallon of fuel, therefore for every mile the cost is one eight of a gallon, with this information we can create the following expression:

[tex]g_{mf} = \frac{m}{8}[/tex]

Where m is the number of miles traveled by the truck.

When the vehicle is empty, it's performance improves by 20 %, which means that for the same amount of fuel it'll travel a distance 120% of the previous one. Therefore we need to multiply 1.2 on the denominator of the last expression:

[tex]g_{me} = \frac{m}{8*1.2}\\\\g_{me} = \frac{m}{9.6}[/tex]

The expression represents the amount of gasoline used (g) is,

When the truck is full (mf) is represented as [tex]m_f = \dfrac{m}{8}[/tex],

And when the truck is empty (me) is represented as,  [tex]m_e = \dfrac{m}{9.6}[/tex]

Given that,

A long-distance delivery truck averages 8 miles per gallon when the truck is full.

The miles per gallon improve by 20% when the truck is empty.

We have to determine,

Which expression represents the amount of gasoline used (g) in terms of the number of miles driven when full (mf) and the number of miles driven when empty (me).

According to the question,

The amount of gasoline used (g) in terms of the number of miles driven when full (mf),

And The distance delivery truck averages 8 miles per gallon when the truck is full.

The amount of gasoline when the truck is full is represented as,

[tex]m_f = \dfrac{m}{8}[/tex]

Then,

The miles per gallon improve by 20% when the truck is empty.

The number of miles driven when empty is represented as,

[tex]m_e = \dfrac{m}{8 + 8 \times 0.20}\\\\m_e = \dfrac{m}{8+ 1.6}\\\\m_e = \dfrac{m}{9.6}[/tex]

Hence, The expression represents the amount of gasoline used (g) is,

When the truck is full (mf) is represented as [tex]m_f = \dfrac{m}{8}[/tex],

And when the truck is empty (me) is represented as,  [tex]m_e = \dfrac{m}{9.6}[/tex].

To know more about the Linear equation click the link given below.

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Answer:

729 cubic meters

Step-by-step explanation:

Volume of cube is given by side^3

where side is length of the side

Given in the problem

side is 9 meters as length, width, and height of fort is 9 meters and it is in cube shape .

Thus,

volume of cube = 9^3 = 9*9*9 = 729

Thus, volume of Haley's fort is 729 cubic meters.

Answer:

Step-by-step explanation:

Let's take each one of those answers and test it against the graph.

"Greater app price always relates to greater profit."

***As you can see, this is not true. Although the profit does increase up to a point as the app price increases, look at the profit at an app price of $4 and an app price of $11. The profit from a $4 app is about $30 million and the profit from the $11 app is about $24 million.

"Greater app price relates to greater profit as long as the app's price is more than about $7."

***As we just saw in the above statement, this is not true.

"The largest possible profits the company can make is 7 million dollars."

***The highest profit is where the highest point on the graph is. While the APP price is $7 at this highest point, the profit there is about 39 million dollars. So the largest possible profit is not 7 million, the largest profit corresponds to an app price of $7 with a profit of 39 million.

"The largest possible profit the company can make is about 40 million dollars."

***From above, we know that this is true.

The only true statement is the last one.

Answer:

B

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - [tex]\frac{\sqrt{3} }{2}[/tex]

sin150° = sin30° = [tex]\frac{1}{2}[/tex]

Given

z = 4(cos150° + isin150° ) , substitute values

  = 4(- [tex]\frac{\sqrt{3} }{2}[/tex] +  [tex]\frac{1}{2}[/tex]i )

  = - 2[tex]\sqrt{3}[/tex] + 2i , that is

(- 2[tex]\sqrt{3}[/tex], 2 ) → B

I think it's B because it contains the highest numbers

Answer:

D

Step-by-step explanation:

The answer is D because every time x increase by 1, the y is tripling. Making it so that as x gets larger and larger, the y will become the larger than the other choices.  

Answer:

C. Rolling a fair cube, with faces labeled one to six, ans the cube landing a number less than six.

Step-by-step explanation:

A. flipping a fair coin, and the coin landing on tails, has only got a 50% chance

B. Picking a red marble has only got 10% chance

C. Rolling the cube and getting a number less than 6 has got 5/6 chance, as, from one to six, 5 numbers are less than six.

D. the spinning an arrow similation has only got a 75% chance.

since 5/6 is greater than 3/4, Simulation C is more likely to occur

The event which is most likely to occur is  Rolling a fair number cube, with faces labeled one to six, and the cube landing a number less than six, correct option is C.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes.

We are given that;

A coin flip, bag of marbles, A fair number cube, an arrow spinner

Now,

The probability of an event is defined as the number of ways the event can occur divided by the total number of possible outcomes.

A. The probability of flipping a fair coin and getting tails is 1/2.

B. The probability of choosing a red marble out of a bag with nine blue marbles and one red marble is 1/10.

C. The probability of rolling a number less than six on a fair number cube is 5/6.

D. The probability of spinning the arrow on a spinner and landing on a number greater than one is 3/4.

Comparing the probabilities, we see that option C has the highest probability, with a probability of 5/6.

Therefore, by probability answer will be rolling a fair number cube and getting a number less than six is the most likely event to occur.

Learn more about probability here;

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Answer:

The width is 11 units.

Step-by-step explanation:

First, you have to add 4 to 18 which is 22. Then divide by 2.

Answer:

Step-by-step explanation:

6:2:6=3:6=3/6=(1*3)/(2*3)=1/2

Answer:

I'm not sure but I think the second one. 12.5 < x < 18.9

Step-by-step explanation:

Answer:

B. 12.5 < x < 18.9

Step-by-step explanation:

on edge

Answer: Mean Absolute Deviation (MAD): 7

Hope this helps u!

Have a good day and stay safe!

Answer:

7

Step-by-step explanation:

[tex]\frac{3+4+7+8+8+9+10}{7}[/tex]

[tex]\frac{49}{7}[/tex]

49 ÷ 7 = 7

Answer:

Yes.

Step-by-step explanation:

We have to first find how much of the whole cake (1) that they all ate.

Boris eats 1/5 of the cake.

Maziy eats 1/5 of the cake.

Sanjay and Silas eat 1/5 of the cake.

Jack also has 1/5 of the cake.

The total fraction of cake eaten was:

1/5 + 1/5 + 1/5 + 1/5 = 4/5

Therefore,the fraction of the cake left is:

1 - 4/5 = 1/5

Yes, there is cake left.

Answer:

option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex]  is the correct answer.

Step-by-step explanation:

The given Quadratic equation is:

[tex]3x^{2} -x-4=0[/tex]

Let us try to make factors:

[tex]3x^{2} -x-4=0[/tex]

Here, [tex]-x[/tex] can be written as [tex]-4x + 3x[/tex] (Look at the coefficient of [tex]x^{2}[/tex] and constant part i.e. 3 and 4). So, the quadratic equation becomes:

[tex]\Rightarrow 3x^{2} -4x+3x-4=0\\\text{Taking x common from }3x^{2} -4x \text{ and 1 common from }3x+4:\\\Rightarrow x(3x-4)+1(3x-4)=0\\\Rightarrow (x+1)(3x-4)=0\\\Rightarrow (x+1) =0\ or\ (3x-4) = 0\\\Rightarrow x =-1\ or\ x = \dfrac{4}{3}[/tex]

So, solution set for the equation [tex]3x^{2} -x-4=0[/tex] is:

[tex]\{-1,\dfrac{4}{3}\}[/tex]

Hence, option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex]  is the correct answer.

Answer:

it will be 27 gallons

Step-by-step explanation:

if we take the gallons number is x

then x=[tex]\frac{351*12}{156}[/tex]

Work Shown:

i = 20 = interest we want to earn

r = 0.05 = decimal form of the annual interest rate

t = 5 = number of years

P = i/(r*t)

P = 20/(0.05*5)

P = 80

Answer:

80

Step-by-step explanation:

i got it right

Answer:

30 inches

Step-by-step explanation:

She has 10 packages of yarn.

She uses 1/3 package of yarn for each inch of the scarf.

Therefore, 1 package of yarn will be 3 times each inch:

3 * 1 = 3 inches

1 package of yarn goes for 3 inches of scarf.

Therefore, 10 packages will go for:

10 * 3 = 30 inches

Answer:

E67.5

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

-(x-5) ^2+25

-x+5^2+25

-5 -5

-x^2+20

-2x+20

---- ----

-2 -2

x=-10

// have a great day //

Answer:

5000 because you round up

Answer:

5000

Step-by-step explanation:

you round up since the second number is higher then 4

Answer:

Length of the shadow = 6.25 foot

Step-by-step explanation:

Given: A lamp post is of 10 foot

To find: length of the shadow cast of a lamp post when the angle of elevation of the sun is 58°

Solution:

Trigonometric ratios explain the relationship between the angles and sides of the triangle.

For any angle [tex]\theta[/tex],

[tex]tan\theta=[/tex] side opposite to [tex]\theta[/tex]/side adjacent to [tex]\theta[/tex]

In ΔABC,

[tex]tanC=\frac{AB}{BC}[/tex]

Put [tex]AB=10\,\,foot\,,\,\angle C=58^{\circ}[/tex]

[tex]tan58^{\circ}=\frac{10}{BC}\\BC=\frac{10}{tan58^{\circ}}\\=\frac{10}{1.6}\\=6.25\,\,foot[/tex]

So,

length of the shadow = 6.25 foot

Answer:

give me points pls

Step-by-step explanation:

Answer:

m∠BCD = 82°

Option A

Step-by-step explanation:

The opposite angles of quadrilateral inscribed in a circle are supplementary.

i.e m∠A +m∠C = 180°

or, m∠BAD + m∠BCD= 180°

or, 98° + m∠BCD = 180°

or, m∠BCD = 180°-98°

or,m∠BCD = 82°

Answer: A - 82

Step-by-step explanation:

 180 - 98 = 82

took the test and got it right.

Answer:

-18

Step-by-step explanation:

We are given the expression:

4h+j

We are also given h= -4 and j= -2. Therefore, we can substitute -4 in for h and -2 in for j.

4(-4)+-2

4(-4)-2

Solve according to PEMDAS

Multiply 4 and -4

-16-2

Subtract 2 from -16

-18

Answer: 4(-4)+(-2)=-18

Step-by-step explanation:

Answer: a. 36-17 <0.04x ⇒ 475 < x

b. When the number of calls is higher than 475 , Plan 1 is more economical than Plan 2.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The cost of plan 1 (36) must be less (<) than the cost of plan 2 (fixed charge [17] plus the product of the charge per call [0.04] and the number of calls [x] )

a.36 < 17+ 0.04x

Solving for x

36-17 <0.04x

19 < 0.04x

19 /0.04 <x

475 < x

b. When the number of calls is higher than 475 , Plan 1 is more economical than Plan 2.

Answer:

when x = 3, x would equal 3 since x can be substituted as 3, aka chancge any xes into 3 if they give you yhat info

Step-by-step explanation:

Answer:

x=3

will still remain as the same

so you answer is x=3

Answer:

1.25 miles

Step-by-step explanation:

hour is 60 minutes

[tex] \frac{60}{12} = 5[/tex]

[tex]0.25 \times 5 = 1.25[/tex]

Answer:

C = √269

C ≈ 16.4

Step-by-step explanation:

Use the Pythagorean Theorem to solve for 'c'.

[tex]a^2+b^2=c^2[/tex]

We are given:

'a' = 13

'b' = 10

Replace the variables with the appropriate values and solve for 'c':

[tex]13^2+10^2=c^2\\\rightarrow 13^2=169\\\rightarrow 10^2=100\\169+100=c^2\\269=c^2\\\sqrt{269}=\sqrt{c^2}\\\boxed {16.40122... = c}[/tex]

16.4012195 ≈ 16.4

C is about 16.4.

Answer: y- 12

Step-by-step explanation:

12 is less than y so is like 12 being subtracted from y.

Answer:

its A i just took the quiz

hope i helped!

Step-by-step explanation: