Please help with this its confusing somehow :(​

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

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:

x=3

8*3+6=30

hope its right

Answer:

30

Step-by-step explanation:

So when they give us an anwser or a number that we can possibly plug in, its pretty simple. In our case we got the information that x=3. So if we ever see x in the expression, then we can plug in the information that they gave us into the expression. Let's view the expression, we can notice that there is once  x that's being multiplied with 8. And since x is 3 we can do 8x3 and then add the 6 so the expression will look like 8(3)+6 which you solve and get 30.

Answer:

1/4

Step-by-step explanation:

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

Answer:

The answer is 7440

Answer:

$7740

Step-by-step explanation:

60,000×12,4%=$7740

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.

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Answer:

The answers are B, D, and E.

Step-by-step explanation:

7.

[tex]180 - 2(50) = \\ = 180 - 100 = \\ = 80[/tex]

9.

[tex]180 - 100 = 80 \\(180 - 80) \div 2 = \\ = 100 \div 2 = 50[/tex]

Answer:

the mean is $80

Step-by-step explanation:

Answer: 4/35

Step-by-step explanation:

Number of red marbles = 4

Number of blue marbles = 5

Number of green marbles = 6

Total number of marbles = 4+5+6 = 15

When a red marble is picked, the probability is 4/15, then to pick a green marble after that, we have 14 marbles left and probability of picking green is 6/14.

Now, probability of choosing a red marble from the bag, not putting it back, and then choosing a green marble will be:

= 4/15 × 6/14

= 24/210

= 4/35

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:

$60

Step-by-step explanation:

sorry if I'm wrong ^-^

Answer:

its 46

Step-by-step explanation:

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:

Cicumference, area, diameter, and radius.

Step-by-step explanation:

You asked, I answered.

Hope this helped! :)

Answer:

c. r=14

Step-by-step explanation:

r+36=50

subtract 36 from both sides

r+36-36=50-36

r=14

Answer:

alright alright give us a second

27x to the 3rd power

Answer:55

Step-by-step explanation:

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:

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:

Por tanto, la raíz cuadrada de 100 es 10. 2. Elementos de la raíz. El número 36 es el cuadrado de 6.

Step-by-step explanation:

Answer: the answer is a

Step-by-step explanation:

Answer:

the answer is A

because translating is just shifting

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.

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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:

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:

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:

[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:

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:

[tex] \displaystyle \:a_n=- 6n + 31[/tex]

[tex] \displaystyle \:a_{52}= - 281[/tex]

Step-by-step explanation:

we are given some numbers

25,19,13,9

and said to figure out the sequence and 52 term

recall arithmetic sequence

[tex] \displaystyle \: a + (n - 1)d[/tex]

where a is the first term and d is the common difference

let's figure out d

[tex] \displaystyle \:d = 19 - 25 \\ d= - 6[/tex]

and a is 25

now we need to substitute the value of a and d and simplify to get our formula

substitute the value of a and d:

[tex] \displaystyle \: 25 + (n - 1) (- 6)[/tex]

distribute -6:

[tex] \displaystyle \: 25 + ( - 6n + 6)[/tex]

remove parentheses:

[tex] \displaystyle \: 25 - 6n + 6[/tex]

simplify addition:

[tex] \displaystyle \: - 6n + 31[/tex]

so our formula is -6n+31

remember here n means nth number term

we are said to figure out 52 number term

so

substitute the value of n:

[tex] \displaystyle \: - 6.52 + 31[/tex]

simplify multiplication:

[tex] \displaystyle \: - 312 + 31[/tex]

simplify addition:

[tex] \displaystyle \: - 281[/tex]

Answer:

Step-by-step explanation:

This is because,

According to Triangle Inequality Property:

Measurement of any two sides of a triangle is always greater than the third side.

Here,

10 + 16 = 26 > 21

10 + 16 = 26 > 22

10 + 16 = 26 > 22

But,

10 + 16 = 26 < 27

Hence,

Option D: 27 can't be the measurement of the triangle.