All categories

3 years ago

7(4 + 3x) = 45(x - 3) - 3(2x -12)

Mathematics

1 answer:

Bezzdna [24]3 years ago

4 0

7(4 + 3x) = 45(x - 3) - 3(2x - 12)

Distribute:

28 + 21x = 45x - 135 - 6x + 36

Collect like terms:

28 + 21x = 39x - 99

Rearrange terms to get them all on one side (add 99 to both sides):

28 + 99 + 21x = 39x - 99 + 99

Simplify:

127 + 21x = 39x

Subtract 21x from both sides:

127 + 21x - 21x = 39x - 21x

Simplify:

127 = 18x

Divide by 18 on both sides to isolate the x variable and solve the expression:

127/18 = 18x/18

Simplify:

x = 127/18

You might be interested in

Alicia took a friend for a birthday dinner. The total bill for dinner was $40.86 (including tax and a tip). If Alicia paid a 20.

solniwko [45]

Answer:

$33.85

Step-by-step explanation:

Let X be the initial bill:

(100 + 20.7)% of X was paid

120.7/100 × X = 40.86

X = 40.86 × 100/120.7

X = 33.85252693

4 0

3 years ago

What is the midpoint of a segment with These endpoints (-6,-9) and (16,5)

lora16 [44]

$~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 16 -6}{2}~~~ ,~~~ \cfrac{ 5 -9}{2} \right)\implies \left( \cfrac{10}{2}~~,~~\cfrac{-4}{2} \right)\implies (5~~,~-2)$

7 0

3 years ago

From $16 to $4 decreased

GREYUIT [131]

Answer: $12

Step-by-step explanation: 16 - 4 = 12

6 0

3 years ago

Read 2 more answers

Find surface area and 136. 224 236 248 oops I forgot -.-|||

xxMikexx [17]

Answer:

B, 224in2

It may get tedious but just find the area of each face and write them down

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

If you had 3.5 gallons of gas, how far could you travel?

Nostrana [21]

Answer:

It would depend on how many miles per gallon your car gets

Step-by-step explanation:

As a general rule, most cars have about 2.5 gallons left in the tank when the gas light comes on. So depending on how many miles you get per gallon, you can probably go anywhere between 30-60 miles.

5 0

3 years ago