Find the perimeter of the figure to the nearest hundredth. ​

Answer:

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When they work the same duration, the time the husband and wife works is approximately 2,071 hours each

When they contribute the same amount, the wife, works for x = 1,500 hours, while the husband works for y = 3,125 hours

Step-by-step explanation:

The amount the couple intends to save in 13 years = $75,000

The amount the wife makes  per hour = $25

The amount the husband makes per hour = $12

The number of working hours in 13 years is given as follows;

Total number of hours = 40 hr/week × 52 weeks/year × 13 years = 27,040 hours

However, when the husband alone works, we have;

75,000/12 = 6,250 hours

Let 'x' and 'y' represent the number of hours the wife and husband works respectively, we have the following system of equations;

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When the couple work equal times

25·x + 12·y = 75,000...(1)

x = y...(2)

From equation (1), we have;

25·x + 12·y = 75,000

25·x + 12·x = 75,000

x = 75,000/37 ≈ 2,071 hours = y

The number of hours each will work is approximately 2,071 hours

When the husband and wife contribute the same amount, we have;

25·x = 12·y = 75,000/2

x = 75,000/(2 × 25) = 1,500

∴ x = 1,500 hours

The number of hours the wife works = 1,500 hours

y = 75,000/(2 × 12) = 3,125

∴ y = 3,125 hours

The number of hors the husband works = 3,125 hours

Answer:

2(x+10)

Step-by-step explanation:

Well since sum is addition and the number and 10 are the sum, let’s make the “number“ (x) and add em up. 10+x.

Now we gotta double that sum which is basically

2(10+x)

The driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.

Stopping distance can be defined as a measure of the distance between the time when a driver applies a break to stop a vehicle that is in motion and the time when the vehicle completely comes to a stop.

In this scenario, I would say that the driver is responsible for this accident because if she wasn't moving at a high speed, her stopping distance would be very minimal. Thus, she would be able to bring her vehicle to a stop without colliding with or crashing into the fence, immediately she sighted the cows.

Also, I can deduce that the driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.

Read more on drivers here: https://brainly.com/question/26084890

We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.

[tex]40 - 24 = 16[/tex]

Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of [tex]GT[/tex] and [tex]EF[/tex]

[tex]\frac{16}{2} = 8[/tex]

Finally, we can use the Pythagorean Theorem to find the length of [tex]AG[/tex]:

[tex]AG^{2} + GT^{2} = AT^{2}[/tex]

[tex]AG^{2} + 8^{2} = 10^{2}[/tex]

[tex]AG^{2} + 64 = 100[/tex]

[tex]AG^{2} = 36[/tex]

[tex]AG = 6[/tex]

Answer:

The answers are B, D, and E.

Answer:

The answer would be 81,000

Step-by-step explanation:

Answer:

The answer is 81,000

Step-by-step explanation:

If you multiply 30x30x30+30x30x60=81,000

Answer:

130.6 apporexiatly

Step-by-step explanation:

t years, s simple interest, r rate.

.

s(r/100+1)^t

.

x(1.07)^3 = 160

.

x = 130.6

Answer:

5x-2

Step-by-step explanation:

2x+3x=5x

5-7=-2

Answer:

5x+-2

Step-by-step explanation:

(2x+5) + (3x-7)

2x+3x=5x

5-7=-2

5x-2

Answer:

[tex]\frac{y^{3}}{2z^{7}}[/tex]  

Step-by-step explanation:

1. Move  z^ − 3  to the denominator using the negative exponent rule  b ^− n = 1/ b ^n

2. Multiply  z ^4  by  z ^3  by adding the exponents.

3. Cancel the common factor of  4  and  8

4. Cancel the common factor of  x^2

Answer:

[tex]\frac{y^{3} }{2z^{7} }[/tex]

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

there are 4 colors meaning each one has a 1/4 chance

Answer:

y=-2x+7

Step-by-step explanation:

You just subtract 2x from both sides to get y alone

Answer:

2x + y = 7

y = 7 -2x

Step-by-step explanation:

Answer:

5x² - 5x + 17

Step-by-step explanation:

(3x² + 7) + (2x² - 5x + 10)

Combine the like terms.

3x² + 2x² = 5x²

-5x does not have a like term, so there is no change.

7 + 10 = 17

Combine them, and the final equation is

5x² - 5x + 17.

Answer: 5x² - 5x + 17

Step-by-step explanation:

(3x^2+7)+(2x^2-5x+10)

3x^2 + 2x^2

-5x

7 + 10

5x^2 - 5x + 17

- If I've understood correctly

Answer:

A. 3.15

Step-by-step explanation:

Sana makatulong

E(x) = 3.15.

By displaying the proportion of data points (referred to as "bars") that fall inside a certain range of values, a histogram gives a visual explanation of numerical data. A vertical bar graph and a histogram are comparable.

E(X) = ∑( x ∗ P(x))

Given a probability histogram for a discrete random variable X.

We will drive the P(x) for every value of x.

P(X=1)=0.1

P(X=2)=0.2

P(X=3)=0.3

P(X=4)=0.25

P(X=5)=0.15

Putting these values in a summation equation to find E(x)

E(x) = 1*0.1 +2*0.2 + 3*0.3 + 4*0.25 + 5* 0.15

E(x) = 3.15

Therefore E(x) for the given histogram far random variable x will be 3.15.

Learn more about distribution here:

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Answer:

B. $145.00

Step-by-step explanation:

4(x+15)= 640

or, 4x+60=640

or, 4x = 640-60

or, 4x = 580

or, x = 580/4

x= 145

Answer:

2x^2+3x^4+1

Step-by-step explanation:

a trinomial  is composed by three monomials.

So only A and B can be correct

the degree of a polynomial is the same of the monomial that compose it with the biggest degree

so the answer is B because the monomial with the biggest degree is 3x^4 (its degree is 4)

Answer:

105 degrees

Step-by-step explanation:

Since there mus tbe 180 degrees in a triangle 180-80=100 and then -25 is equal to 75. since the line is 180 degrees, 180-75 = 105

Answer:

3

Step-by-step explanation:

We know that she uses one tank of gas every 375mi, so we can just divide.

1125 / 375 = 3

To check our work we can just multiply.

375 x 3 = 1125.

So she uses 3 tanks on the trip. I hope this helps :)

Answer: the answer is a

Step-by-step explanation:

Answer:

the answer is A

because translating is just shifting

Answer:

y = 3x + 3

Step-by-step explanation:

m = 3 because the slope rises 3 and runs 1, therefore 3/1 = 3

b = 3 because the y-intercept is (0,3), therefore y-int = 3

y = 3x + 3

Answer:

That question is easy you can use simple logic for this no math needed the answer is B 4.2mi if you need a reason why it is i will provide one

Step-by-step explanation:

Answer:

The answer is 7440

Answer:

$7740

Step-by-step explanation:

60,000×12,4%=$7740

Answer:

Step-by-step explanation:

So this is a quadratic sequence.

3, 12, 22, 33, 45, 58, 72

 9   10   11    12   13   14  

9, 10, 11, 12, 13, 14

 1    1    1    1    1

This means the next one must be 15 so

3, 12, 22, 33, 45, 58, 72, x

 9   10   11   12   13   14   15

x= 72+15

x= 87

Answer:

$60

Step-by-step explanation:

sorry if I'm wrong ^-^

Answer:

its 46

Step-by-step explanation:

Answer:

length = 6

width = 3 1/2

Step-by-step explanation:

l = length

w = width

l = 2w-1

w(2w-1) = 21

2w² - 1 - 21 = 0

(2w - 7)(w + 3) = 0

w = 7/2 = 3 1/2

find 'l':  l = 2(7/2) - 1 = 7-1 = 6

Answer:

11<x<12

Step-by-step explanation:

Answer:

Step-by-step explanation:

6. 8

7. 21

8. 18

Answer:

17

Step-by-step explanation:

what you have to is simple, first do 32-8 which get you 24, thats how many they won. Then do 8x1/4 to get 2, she played 2 games as catcher and lost, then do the same thing with the winning games. 24x5/8 should get you 15. she played 15 games as catcher and won. then do 15+2 to get 17.

hope that helps!

Answer:

1/4 - won

7/8 - katy played catcher

hope this helps you :)