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madam [21]
2 years ago
6

The width of the rectangle is 5x-4. The length of the rectangle is 5

Mathematics
1 answer:
drek231 [11]2 years ago
3 0

Answer:

The area of the rectangle A =  25x² -  20x

Step-by-step explanation:

Given

The width of the rectangle = w = 5x - 4

The length of a rectangle = l = 5x

To determine

The area of the rectangle = ?

Using the Formula to determine the area of the rectangle

A = wl

substitute w = 5x - 4 and l = 5x in the formula

A = (5x-4) (5x)

Apply distributive law:  a(b-c) = ab - ac

   =\left(5x\right)\cdot \:5x-\left(5x\right)\cdot \:4

   =5x\left(5x\right)-4\left(5x\right)

as 5x(5x) = 25x²  and  4(5x) = 20x, so

    =25x^2-20x

Therefore, the area of the rectangle A =  25x² -  20x

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Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?
BaLLatris [955]

Answer:

19 dimes and 9 nickels

Step-by-step explanation:

Model the situation using two equations, then solve the system.

let n be number of nickels and d be number of dimes.

n + d = 28     <= This equation is about the number of coins.

0.05n + 0.10d =  2.35   <=This equation is about the worth in dollars.

Rearrange n + d = 28.

n = 28 - d

Now we can substitute this equation into the other one.

Sub n =28-d at the "d" variable for the equation 0.05n + 0.10d =  2.35

0.05n + 0.10d =  2.35

Now there is only one variable.

0.05(28 - d) + 0.10d =  2.35   <=distribute this

0.05(28 - d) + 0.10d =  2.35

1.4 - 0.05d + 0.10d = 2.35   <=combine like terms

1.4 + 0.05d = 2.35    <= begin to isolate d

0.05d = 2.35 - 1.4

0.05d = 0.95

d = 0.95/0.05

d = 19

Now that we know d=19, we can substitute it into any equation.

Choose the equation n + d = 28 because the numbers are easier.

n + d = 28

n + 19 = 28    <=isolate n

n = 28 - 19

n = 9

Since n=9 and d=19, Kay has 9 nickels and 19 dimes.

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Answer:

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If a population of 100 cells triples every hour, which function represents p(t), the population after t hours?
tia_tia [17]
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