3 years ago

Solve for x. Show each step and explain. 4.5(8-x)+36=102-2.5(3x+24)

Mathematics

1 answer:

lianna [129]3 years ago

6 0

Answer: x= -10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4.5(8−x)+36=102−2.5(3x+24)

(4.5)(8)+(4.5)(−x)+36=102+(−2.5)(3x)+(−2.5)(24)(Distribute)

36+−4.5x+36=102+−7.5x+−60

(−4.5x)+(36+36)=(−7.5x)+(102+−60)(Combine Like Terms)

−4.5x+72=−7.5x+42

Step 2: Add 7.5x to both sides.

−4.5x+72+7.5x=−7.5x+42+7.5x

3x+72=42

Step 3: Subtract 72 from both sides.

3x+72−72=42−72

3x=−30

You can do it from here

You might be interested in

Could someone please help with this

jok3333 [9.3K]

It is 24 because 10/2 = 5. 48/2 = 24.

6 0

3 years ago

What digit is missing from the quotient?

aksik [14]

Answer:

quotient=divisor×divided+reminder

5 0

3 years ago

Read 2 more answers

A rental company charges $8 plus $5.50 per hour to rent a canoe. Fill in each box below to make true statements. A. a function t

ExtremeBDS [4]

a . y= 5.50x+8 d.$40 because y= 5.50(4) +8 y=22+8

7 0

4 years ago

Help urgent please! evaluate 3^-2?

Inessa05 [86]

Answer:

Step-by-step explanation:

$3^{-2}=\frac{1}{3^2}}\\\\=\frac{1}{9}$

Hint:

$a^{-m}=\frac{1}{a^{m}}$

5 0

3 years ago

Read 2 more answers

Factorising Quadratics

umka21 [38]

Quadratic formula where:
$ax ^{2} + bx + c$
$\frac{ - b + { \sqrt{b^{2} - 4ac } }}{2a}$
$\frac{ - b - \sqrt{b { }^{2} - 4ac } }{2a}$
do both do get the roots of the equation

5 0

3 years ago

Read 2 more answers