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inessss [21]
3 years ago
15

Refer to the rectangle below. The length of the rectangle is x + 12. The width of the rectangle is x + 3.

Mathematics
1 answer:
Elis [28]3 years ago
4 0

Answer:

x^2+15x+36

Step-by-step explanation:

The complete question is shown in the attachment.

The length of the rectangle is x + 12. The width of the rectangle is x + 3.

Recall that area of a rectangle is Length \times Width

In terms of x, the area is (x+12)(x+3)

Recall the distributive property of real numbers: (a+b)(c+d)=a(c+d)+b(c+d)

We apply this property to get:

(x+12)(x+3)=x(x+3)+12(x+3)

We expand again to get:

(x+12)(x+3)=x^2+3x+12x+36

We now simplify to obtain:

(x+12)(x+3)=x^2+15x+36

The area of the rectangle is x^2+15x+36

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Given 16 = −5 + z4solve for z
AysviL [449]
Hi,

16 = - 5 + z4 \\ - 4z + 16 = - 5 \\ - 4z = - 5 - 16 \\ - 4z = -21

Now just divide both sides of equation by -4.

z = \frac{21}{4}

Simplify:

z = 5 \frac{1}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: fraction \: result

Decimal form:

z = 5.25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: decimal \: result

Hope this helps.
r3t40
8 0
3 years ago
Read 2 more answers
Fill the value of the expression 24 3/5 +4 ×(8 1/5-2)
Julli [10]
First off, we'll convert the mixed fractions to "improper",

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\\\\\\
\stackrel{mixed}{8\frac{1}{5}}\implies \cfrac{8\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{41}{5}}

\bf 24\frac{3}{5}\times \left( 8\frac{1}{5}-2 \right)\implies \cfrac{123}{5}\left( \cfrac{41}{5}-2 \right)\impliedby \mathbb{PEMDAS}
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\cfrac{123}{5}\left( \cfrac{41-10}{5} \right)\implies \cfrac{123}{5}\left( \cfrac{31}{5} \right)
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4 0
3 years ago
n a jar of coins, the ratio of nickels to dimes is 5:7. If the jar contains 350 dimes, how many nickels are there?
irina1246 [14]

Answer:

250 nickles

Step-by-step explanation:

Nickles and dimes are coins with different currency values. One nickel(N) is equal to 5 cents while one dime(D) is equal to 10 cents. The ratio of nickel:dime is 5:7, to put into the equation it will be:

N/D= 5/7

7N=5D   ---> 1st equation

There are 350 dimes, the equation will be:

D=350   ----> 2nd equation

We can find out the number of nickels by substitute the 2nd equation into the first. The calculation will be

7N=5D

N= 5D/7

N=5(350)/7

N=  250

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