At a real estate agency, an agent sold a house for $382,000. The commission
rate is 5.5% for the real estate agency. The commission for the agent is 30%
of the amount the real estate agency gets.

The area will be equal to Area = (28)(21) / 2 = 294 square inches.

To determine the area of a triangle, we calculate one half of the product of the base and the height of the triangle so we need data on its base and its height. We are given the following:

Hypotenuse = 7 + base = 14 + height

Perimeter = 84 inches

The perimeter of the triangle is equal to the sum of the three sides of the triangle which are the height, base and hypotenuse. So,

Perimeter = height + base + hypotenuse = 84

We let x = height and y = base. We calculate area as follows:

84 = x + y + (7 + y)

77 = x + 2y

x = 77 -2y

The Hypotenuse is related to the other sides by the Pythagorean theorem.

Hypotenuse^2 = (x^2 + y^2)

(14 + x)^2 = x^2 + y^2

(14 + (77-2y))^2 = (77-2y)^2 + y^2

(91-2y)^2 = (77-2y)^2 + y^2

Solving for y and x

y = 28

x = 21

Area = (28)(21) / 2 = 294 square inches

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Answer:

its 2b+30 bc you can't find b in this case

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

g = 48

Step-by-step explanation:

Step 1: Multiply both sides by 6.

g6=8

(g6)*(6)=(8)*(6)

g=48

Answer:

40%

Step-by-step explanation:

The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increased by an additional 5 parts. So if the original value increased by 14 percent, the value would increase by 14 for every 100 units, 28 by every 200 units and so on. To make this even more clear, we will get into an example using the percent increase formula in the next section.

Answer:40&!!!!!!

Step-by-step explanation:40%!!!!!!!

Answer:

3 ( n + 2 )

3 x n = 3n

3 x 2 = 6

3n + 6 = 9n

Step-by-step explanation:

Answer:

tan(theta) = 3/4

Answer:

5ft > can ride the roller coaster??

Step-by-step explanation:

im not 100% sure what u mean

Answer:

Answer is in attachment

Pls Mark brainliest :)

Answer:

e=+5

Step-by-step explanation:

119=7(2e+7)

We move all terms to the left:

119-(7(2e+7))=0

We calculate terms in parentheses: -(7(2e+7)), so:

7(2e+7)

We multiply parentheses

14e+49

Back to the equation:

-(14e+49)

We get rid of parentheses

-14e-49+119=0

We add all the numbers together, and all the variables

-14e+70=0

We move all terms containing e to the left, all other terms to the right

-14e=-70

e=-70/-14

e=+5

Step-by-step explanation:

the other answer is right but it seems a bit overly complicated how the result was achieved.

119 = 7(2e + 7)

119 = 14e + 49

70 = 14e

e = 70/14 = 5

that's really it.

Answer:

v = -14

Step-by-step explanation:

» Solution

Step 1: Distribute the -4 to the terms inside the parantheses.

Step 2: Add 28 to both sides.

Step 3: Divide both sides by -4.

Therefore, v = -14.

Answer:

12

Step-by-step explanation:

[tex]3|-4| = 3(4) = 12[/tex]

Answer:

[tex] | - 4| = 4 \\ 3 \times 4 = 12[/tex]

Answer:

8

Step-by-step explanation:

Volume of a cone formula: V = [tex]\pi r^{2} \frac{h}{3}[/tex]

where,

h is the height             9 in  (assuming)

r is the radius              want

v is the volume            602.88 cubic inches

[tex]\pi[/tex] is                              a = 3.14

Plug in everything:

[tex]602.88 = 3.14r^{2} (\frac{9}{3} )\\602.88 = 3.14r^{2} (3)\\1808.64 = 28.26r^{2}\\\frac{1808.64}{28.26} = \frac{28.26r^{2}}{28.26} \\r^{2} = 64\\r = \sqrt{64} \\r = 8\\or\\r =-8[/tex]

Answer:

1,067,610 cloth will be produced in 285 days

Step-by-step explanation:

- 3746 meters of cloth in a day

- in 285 days

3746 x 285 = 1,067,610

Let's check the options :

[tex] - x < 5[/tex]

Divide both sieds by - 1

[tex] \frac{ - x}{ - 1} > \frac{ 5}{ - 1} \\ [/tex]

[tex]x > - 5[/tex]

False

_____________________________________________

[tex] - x > - 5[/tex]

Divide both sides by - 1

[tex] \frac{ - x}{ - 1} < \frac{ - 5}{ - 1} \\ [/tex]

[tex]x < 5[/tex]

True

_____________________________________________

Divide both sides by - 1

[tex] \frac{ - x}{ - 1} < \frac{5}{ - 1} \\ [/tex]

[tex]x < - 5[/tex]

False

_____________________________________________

[tex] - x < - 5[/tex]

Divide both sides by - 1

[tex] \frac{ - x}{ - 1} > \frac{ - 5}{ - 1} \\ [/tex]

[tex]x > 5[/tex]

False

Answer:

2.2360679775

used a calculator

Step-by-step explanation:

For a wheelchair ramp with a length of 82 inches has a horizontal distance of 80 inches is mathematically given as

v = 18inches

Generally, the equation for vertical distance is mathematically given as

r^2 = h^2 + v^2

(82)^2 = (80)^2 +v^2

6724 = 6400 + v^2

v^2 = 6724-6400

v^2 = 324

v = [tex]\sqrt{324}[/tex]

v = 18inches

In conclusion, the ramp's vertical distance is

v = 18inches

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The theoretical possibility of choosing a red earring is 1/10, 10%.

The experimental possibility of choosing a red earring is 8/25, 32%

The theoretical possibility of choosing a blue earring is 1/5, 20%.

The experimental possibility of choosing a blue earring is 7/15 or 28%.

Theoretical probability determines the chances that a random event would happen.

Theoretical probability = number of the earing in the box / total number of earrings

Red earrings = 2/20 = 1/10 = 10%

Blue earrings = 4/20 = 1/5 = 20%

Experimental probability is based on the result of an experiment that has been carried out multiples times

Experimental probability = number of times the earing was chosen / number of time the experiment was conducted

The experimental possibility of choosing a red earring= 16/50

=  8/25, 32%

The experimental possibility of choosing a blue earring = 14/50 = 7/25 = 28%

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The amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

35% of salt is in feta cheese. The percentage of salt is in that 350 g cheese has to be found out.

Let suppose there is x grams of slat in feta cheese of 350 g. Thus, the amount of salt (35% of 350) is,

[tex]x=\dfrac{35}{100}\times350\\x=122.5\rm\; gm[/tex]

Thus, the amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.

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Hence the answer is 480ml

Step-by-step explanation:

Given Elena wonders how much water it will take to fill her cup. She drops her pencil in the cup and notice it just fit diagonally. The pencil is 17cm long (hypotenes) and the cup is 15cm tall.

To find how much water it can hold

SOLUTION

s

[tex] \sqrt{x {} ^{ 2} + x {}^{2} + 15 {}^{2} = 17 } [/tex]

[tex]2x {}^{2} = 64[/tex]

[tex]x {}^{2} = 32[/tex]

[tex]x = 5.66[/tex]

therefore volume of the cup

[tex]5.66 \times 5.66 \times 15cm| [/tex]

480cm³= 480ml

Answer:

y = -6

Step-by-step explanation:

Lines that are parallel have the same slope

y= 2 means that it is a horizontal line

The parallel line must be in the same form

y=

We want it through the point (-1,-6)

y = -6

Answer:  a. 9 miles   b. 28 miles

Step-by-step explanation:

PART A:

Area = Length x Width

Therefore, 5 times some number = 45.

To solve this, use division - 45/5 = 9 miles

PART B:

Perimeter = L + L + W + W

You know width is 5 miles and length is 9 miles.

5+5+9+9 = 28 miles.

Answer:

So first we need to determine what the exponential growth function would look like.  Exponential growth functions look like [tex]P(t) = P_0*e^{r*t}[/tex] and in our case [tex]P_0[/tex] would be the initial population which is 6.63 million.  R is the next variable that we need to fill out which is the rate of change which in our case is 3.01% or 0.0301.

This is how our function should look now [tex]P(t)=6.63*e^{0.0301*t}[/tex]

Moving onto part b, we need to estimate the population of the city in 2018 which 6 years from 2012 and we plug that into t and solve.

[tex]P(t) = 6.63 * e^{0.0301*6}[/tex]

[tex]P(t) = 6.63*e^{0.1806}[/tex]

[tex]P(t) = 6.63 *1.1979[/tex]

[tex]P(t) = 7.9423\ million[/tex]

Moving onto part c, we need to find when the population of the city will be 11 million which will be done by setting P(t) to 11 million and solving for t.

[tex]11 = 6.63*e^{0.0301*t}[/tex]

[tex]\frac{11}{6.63} = \frac{6.63*e^{0.0301*t}}{6.63}[/tex]

[tex]1.659=e^{0.0301*t}[/tex]

[tex]ln(1.659)=ln(e^{0.0301*t})[/tex]

[tex]\frac{0.506}{0.0301}=\frac{0.0301*t}{0.0301}[/tex]

[tex]16.818\ years = t[/tex]

Moving onto part d, we need to find the doubling time.  This will be similar to the previous part but we will be finding the time it takes to double our population.  So instead of putting 11 million for P(t) we put 6.63 * 2 in there which is 13.26.

[tex]13.26 = 6.63*e^{0.0301*t}[/tex]

[tex]\frac{13.26}{6.63} = \frac{6.63*e^{0.0301*t}}{6.63}[/tex]

[tex]2=e^{0.0301*t}[/tex]

[tex]ln(2)=ln(e^{0.0301*t})[/tex]

[tex]\frac{0.693}{0.0301}=\frac{0.0301*t}{0.0301}[/tex]

[tex]23.028\ years = t[/tex]

Hope this helps!  Let me know if you have any questions

The factor from the provided expression of the variable x and y is taken out. The resultant expression is -1/4(2x-5y).

The factor of a equation is the terms or number which is common in all the terms of the that equation.

The first term of the equation is,

-1/2x

Multiply with 2 in numerator and denominator of this term as,

-2/4x

(-1/4)2x

Now the second term of the equation is,

-5/4y

Rewrite this term as,

(-1/4)5y

Thus, the expression become,

1/2x - 5/4y

(-1/4)2x- (-1/4)5y

-1/4(2x-5y)

Hence, the factor from the provided expression of the variable x and y is taken out. The resultant expression is -1/4(2x-5y).

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Answer:

(−7,−2)

Step-by-step explanation:

Use the vertex form, y=a(x−h)2+k, to determine the values of a, h, and k.

a=4

h=−7

k=−2

(−7,−2)

Answer:

A(x) is at its maximum at x = 5, or (5, 25)

Step-by-step explanation:

Putting A(x)=x(10-x) back into its standard form gives A(x) = -x^2 + 10x. The equation to find the x value in vertices in these types of functions is -b / 2a, the letters pertaining to the coefficients. In this case, this graph would have a maximum at -(10)/2(-1), or -10/-2 = 5 --> Thus, when x=5, the downwards facing graph is at its maximum

(Might not be important but another method to solve:)
Take the derivative of the function A(x) = x(10-x) and set it equal to 0 to find the x value of all vertices. In this case, A'(x) = -2x + 10,
-2x + 10 = 0
-2x = -10
x = 5
A(x) is at its maximum at x=5 because it is when A'(x), the derivative, is equal to 0 and thus has a flat slope (or vertex)

Answer:

(5, 25)

Step-by-step explanation:

A(x) is a parabola meaning the max point would be called the vertex

Expand A(x)

[tex]x(10 - x) = 10x - x^{2}\\x^{2} -10x[/tex]

The vertex point is (h, k)

To find h:

[tex]h =- \frac{-b}{2a} \\b = -10\\a = 1\\h = - \frac{-10}{2(1)} \\h = - \frac{-10}{2} \\h = 5[/tex]a and b are from the equation [tex]ax^{2} + bx[/tex]

To find k, plug in h values:

[tex]k = \\f(5) = 5^{2} - 10(5)\\f(5) = 25[/tex]

vertex = (h, k) = (5, 25)

graph attached as well for a visual

Answer:

Part A: 81.5%

Part B: About 95% of the data lie between 53 and 65.

Step-by-step explanation:

Note: the percentages marked in red and blue never change

For Part A, we add the percentages that are between 53 and 62. So, 34% + 34% + 13.5% which is 81.5%

For Part B, we can look at this graph and seen that 95% of this data set lies between 53 and 65

Hope this is correct and of help!

Answer:

add 2 to 13 thats 15 divided by 3 is 5

Step-by-step explanation:

The likelihood of an occurrence regardless of the result of another variable is known as marginal probability.

The likelihood of an occurrence regardless of the result of another variable is known as marginal probability. The likelihood of one event occurring in the presence of another is known as conditional probability.

We already know that marginal probabilities are calculated by dividing marginal frequencies by total frequency.

As a result, in this situation, the gender's marginal probability distribution is given by,

P(Gender=x) ≈ 0.5308                     if x = Male

                     ≈ 0.4692(1-0.5308)    if x = female

                     = 0 otherwise

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Answer:

24

Step-by-step explanation:

4 times 2 times 3

4(2)=8

8(3)+24

Answer:

20: But here is how.

Logically. <Which as you practice means you won’t have to write anything for this type of problem =) >

“Every shirt could come with any one of the pants.” (notation: sn is shirt number n)

s1 with 4 pants, so 4 outfits

s2 with 4 pants, so 4 outfits

s3 with 4 pants, so 4 outfits

s4 with 4 pants, so 4 outfits

s5 with 4 pants, so 4 outfits

Total of 5×4