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goldenfox [79]
3 years ago
7

A rectangle has a height of 4 and a width of x2 + 3x + 2.

Mathematics
1 answer:
otez555 [7]3 years ago
5 0
<h3><u>Given</u>:</h3>
  • A rectangle has a height of 4 and a width of x² + 3x + 2.

<h3><u>To find</u>:</h3>
  • The area of the entire rectangle.

<h3><u>Solution</u>:</h3>

Hence, we know that area of rectangle is equals to the product of length and breadth.

Therefore, the area of rectangle is,

= 4 \times( {x}^{2}  +3x + 2 ) \\   = 4({x}^{2}  + 3x + 2) \\  =   \green{ \boxed{4 {x}^{2}  + 12x + 8}}

Therefore, the answer is 4x² + 12x + 8.

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Sarah has a collection of nickels, dimes, and quarters worth $28.75. She has 10 more dimes than nickels and twice as many quarte
Ymorist [56]

Answer:

Step-by-step explanation:

Write an equation for each statement:

:

"Sarah has a collection of nickels, dimes, and quarters worth $15.75."

.05n + .1d + .25q = 15.75

:

"She has 10 more dimes than nickels"

d = n + 10

:

"twice as many quarters as dimes."

q = 2d

:

How many coins of each kind does she have?

:

Take the 2nd equation and arrange it so n is in terms of d also

n + 10 = d

n = (d - 10)

:

In the 1st equation substitute (d-10) for n and 2d for q:

.05n + .1d + .25q = 15.75

:

.05(d-10) + .1d + .25(2d) = 15.75

:

.05d - .5 + .1d + .5d = 15.75

:

.65d - .5 = 15.75

:

.65d = 15.75 + .5

:

.65d = 16.25

:

d = 16.25/.65

:

d = 25 dimes

:

Remember the statement "twice as many quarters as dimes."

q = 2(25)

q = 50 quarters

:

The statement "She has 10 more dimes than nickels"

n = 25 - 10

n - 15 nickels

:

Check our solutions

.05(15) + .1(25) + .25(50) =

.75 + 2.50 + 12.50 = 15.75 proves our solutions

8 0
2 years ago
Please help me! I REALLLY need my math grade to go up!!! PLEASE HELP!!!!
melomori [17]

Answer:

Hi I only know part be yes the figures are congruent

Step-by-step explanation:

There the same shape, same size so yes they are congruent

6 0
2 years ago
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Help please. i have no idea how to do this.
Grace [21]

Answer:

ill help u lol im pretty positive its 8

5 0
2 years ago
Why does -2(x + 3y) = 18 equal y=-3-x/3? Please helppp
Citrus2011 [14]

Step-by-step explanation:

You're asking why

{- 2(x + 3y) = 18} = y =  - 3 -  \frac{x}{3}

let's transpose the first equation for y

-2x-6y=18

-6y=18+2x

6y=-18-2x

y=-18/6-2x/6

y=-3-⅓x as required

8 0
3 years ago
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The function f(x)=200(1.4)^t gives the approximate number of fish in a large pond after t years. Select all of the true statemen
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