All categories

3 years ago

Solve for x. Show each step of the solution. 5.5(8-x)+44=104-3.5(3x+24)

1 answer:

4 0

5.5 ( 8 - x ) + 44 = 104 - 3.5 ( 3x + 24 )

Distribute 5.5 through the parenthesis.

44 - 5.5x + 44 = 104 - 10.5x - 84

Add the numbers.

88 - 5.5x = 20 - 10.5x

Move variable to the left side and change its sign.

88 - 5.5x + 10.5x = 20
-5.5x + 10.5x = 20 -88

Collect like terms.

5x = 20 - 88

Calculate the sum or difference.

5x = - 68

Divide both sides by 5.

x = - 68 / 5

You might be interested in

A biologist studied the populations of white-sided jackrabbits and black-tailed jackrabbits over a 5-year

natita [175]

The correct answer is B

8 0

3 years ago

What is 0.6 repeated as a fraction

son4ous [18]

6/10 is the answer but if you want it simplified the the answer would be 3/5.

4 0

3 years ago

A restaurant with two locations buys twelve bags of flour and eight large bags of sugar. Location A receives seven bags of flour

Alborosie

You want to solve this set of linear equations by the elimination method.

Let x=price of bag of flour and y=price of bag of sugar

Multiply the first equation by -3.

-3(7x+5y=584)
Multiply the second equation by 5.
5(5x+3y=384)

Solve by elimination.

X=42

Substitute value of x into one of the original equations.

Y=58

8 0

3 years ago

Gabrielle uses 7.6 pints of blue paint and white paint to paint her bedroom walls. 1 4 of this amount is blue paint, and the res

zysi [14]

Answer:

1.9

Step-by-step explanation:

Gabrielle uses 7.6 pints of blue and white paint to paint her bedroom

1/4 of the paint is blue paint

Therefore the amount of white paint she used to paint her bedroom can he calculated as follows

= 1/4

= 0.25×100

= 25%

25/100×7.6

= 2.5 × 7.6

= 1.9

Hence 1.9 pints of white paint was used to paint the room

6 0

3 years ago

Given that rectangle MNOP~ rectangle STUV~, what is the length of ___<br> TU

IrinaK [193]

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x or the length of TU is 22.5.

<h3>What is a rectangle?</h3>

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since all the rectangles are similar, therefore, the corresponding sides of the rectangle will be in ratio. Therefore,

$\dfrac{\text{Length of STUV}}{\text{Length of MNOP}} = \dfrac{9}{6}$

Similarly, the breadth will be,

$\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{\text{Length of STUV}}{\text{Length of MNOP}}\\\\\\\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{9}{6}\\\\\\\dfrac{x}{15}=\dfrac96\\\\\\x = \dfrac{9 \times 15}{6} = 22.5$

Hence, the value of x or the length of TU is 22.5.

Learn more about Rectangle:

brainly.com/question/15019502

#SPJ1

5 0

2 years ago