2 years ago

Find the area of the rectangle as a single expression.

Mathematics

1 answer:

qwelly [4]2 years ago

7 0

Answer:

D) $15x^2 +6x-48$

Step-by-step explanation:

$Area \: of \: rectangle \\ = length \times width \\ = 3(x + 2) \times (5x - 8) \\ = (3x + 6) \times (5x - 8) \\ = 3x(5x - 8) + 6(5x - 8) \\ = 15 {x}^{2} - 24x + 30x - 48 \\ = 15 {x}^{2} + 6x - 48$

You might be interested in

Find the product of 543.1187 and 100.

Natasha_Volkova [10]

A 54,311.87
It moves the decimal places to the left by two.

3 0

3 years ago

the admission fee for a charity event is 7 dollars for children and 10 dollars for adults the event was attended by 700 people a

ollegr [7]

Given:
$7/child
$10/adult
Total people = 700
Total money = $6,400

First, make two equations.
Let a = # of adults & Let c = # of children.
Let p = total people

1. a+c = 700
2. 10a+7c = 6,400

Then, rearrange the equation to solve for a variable.
c = 700-a

Substitute (700-a) for c, or the # of children in the second equation.
10a+(700-a) = 6400
9a+700 = 6400
9a+700-700 = 6400-700
9a = 5700
9a/9 = 5700/9
a = 633 $\frac{1}{3}$ = # of adults attended

700-633 $\frac{1}{3}$ = c = 66 $\frac{2}{3}$ = # of children attended

4 0

2 years ago

X-4y =-6 ( ,2) (-2, )

marin [14]

Answer:5x-20y=12

Step-by-step explanation:

5 0

2 years ago

Write an expression that can be used to multiply 6x198 mentally

RoseWind [281]

Do a mental sum for 6 x 200 (1200) then subtract 6<span>x 2 (12) to give you 1188.</span>

8 0