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3 years ago

Need help with question 15! please!!! This is due 02/2/22 which is tmr please!

Mathematics

1 answer:

Lorico [155]3 years ago

3 0

Answer: x = 6

Step-by-step explanation:

Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.

Next, we set up the proportion as follows:

$\frac{21}{x+3} =\frac{7}{3}$

Then, you cross multiply to get the equation:

$63=7x+21$

After solving down algebraically, you get the value of x to be 6.

I hope this helps!

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Maria estimates college tuition and fees, room and board, books, and other charges total $10,100. She will receive a scholarship

garri49 [273]

Maria needs to save $187.50 per month in order to attend college.

First, subtract the $1,100 scholarship from the cost of college, or $10,100, to get $9,000. This is the amount that she needs to save after 4 years. Next, since she is saving monthly, we need to know how many monthly periods are in 4 years, so multiply 12 months/year by 4 years to get 48 monthly periods. Finally, divide the total amount needed ($9,000) by the monthly periods (48) to get $187.50. This answer would change if she earned any interest on her savings, and depending on the compounding period, if any, for such interest.

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Juan hikes up a mountain. He hikes back down at a constant rate. The table shows Juan's elevation at each hour after he begins h

Dimas [21]

The linear function that describes Juan's elevation during his descent is:

B. y = -1460x + 7500.

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A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, each hour, the height decays by 1460, hence the slope is of m = -1460, then:

y = -1460x + b.

The y-intercept is found considering that when x = 1, y = 6040, hence:

b = 6040 + 1460 = 7500.

Which means that option B is correct.

More can be learned about linear functions at brainly.com/question/24808124

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Step-by-step explanation:

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