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Sloan [31]
3 years ago
5

Two rectangles are similar. The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is

25 cm. What is its length?
Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:

Its length is 37.5 cm.

Step-by-step explanation:

If two rectangles are similar, their sides are proportional, that is, they have equal ratios. So

The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is 25 cm.

So

\frac{15}{10} = \frac{l}{25}

10l = 25*15

Simplifying by 10.

l = 2.5*15 = 37.5

Its length is 37.5 cm.

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Is that one or two questions?

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The following function represents the value of a car, in dollars, after x years:
Assoli18 [71]

Answer:

Option D.The decrease in the value of the car, which is 8%

Step-by-step explanation:

we have a exponential function of the form

f(x)=a(b)^{x}

where

y is the value of the car

x is the time in years

a is the initial value

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r is the rate of decrease

b=1+r

In this problem we have

a=$24,000 initial value of the car

b=0.92

so

0.92=1+r

r=0.92-1=-0.08=-8%-----> is negative because is a rate of decrease

8 0
3 years ago
Read 2 more answers
A recipe calls for 5 8 pound of cheese per batch. Assuming you have enough of the other ingredients, how many batches of the rec
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3 years ago
Choose the equation of the horizontel line that passes through the point (-2,-1)
vitfil [10]

Answer:

y = -1

Step-by-step explanation:

A horizontal line is of the form

y =

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8 0
2 years ago
Last Sunday a certain store sold copies of 256 Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the stor
Marat540 [252]

Answer:

D. \frac{400p}{500-p}

Step-by-step explanation:

let's call A the number of copies sold of newspaper A and B the number of copies sold of newspaper B.

So, we can formulate the following equations from the sentence: a certain store sold copies of 256 Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each as:

A + B = 256                               (1)

1A + 1.25 B = Total Revenue    (2)

Then, r and p are equal to:

r=\frac{A}{Total Revenue}*100=\frac{100A}{A+1.25B}     (3)

p=\frac{A}{256} *100=\frac{100A}{256}                            (4)

Isolating A from (4) and B from (1), we get:

A=\frac{256p}{100} =2.56p                (5)

B=256-A=256-2.56p                         (6)

Finally, replacing (5) and (6) in (3), we get:

r=\frac{100A}{A+1.25B}=\frac{100(2.56p)}{2.56p+1.25(256-2.56p)}\\\\r=\frac{256p}{2.56p+320-3.2p}=\frac{256p}{320-0.64p}\\\\r=\frac{256p/0.64}{(320-0.64p)/0.64}=\frac{400p}{500-p}

7 0
3 years ago
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