3 different problems.

Mathematics

2 answers:

igor_vitrenko [27]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

b - 4 = 3

Add 4 to each side

b - 4+4 = 3+4

b = 7

-32 = 8w

Divide by 8

-32/8 = 8w/8

-4 = w

n/7 = -4

Multiply by 7 to each side

n/7 *7 = -4*7

n = -28

Artemon [7]3 years ago

4 0

Answer:

1. b = 7

2. w = -4

3. n = -28

Step-by-step explanation:

1. b - 4 = 3

Tip: Whenever there’s a number being subtracted or added, it’s best to make that number a 0

Step 1. Add 4 to both sides

b - 4 = 3

b + 4 = +4

b = 7

—————————————
2. -32 = 8w

Step 1. Isolate the variable
(by dividing both sides by 8)

w = -32/8

w = -4

—————————————
3. n/7 = -4

Step 1. Multiply 7 x -4

n = -28

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A person can push a 160 -pound sofa across a carpeted floor by pushing with a force of 100 pounds. Find an equation that descri

iren [92.7K]

Missing part in the heading of the question:
"The force f (in pounds) required to push a sofa across the floor varies directly as the weight w (in pounds) of the sofa"

Answer:
F = 0.625 w

Explanation:
We are given that F in pounds varies directly with the weight of the sofa in pounds.
This means that:
F = kw
where:
F is the force
k is the constant of proportionality
w is the weight of the sofa

We are given that:
F is 100 pounds when w is 160 pounds

Substitute with these givens in the above equation to get the constant of proportionality k as follows:
F = kw
100 = 160k
k = 100 / 160
k = 0.625

This means that the equation describing the relation between the force and the weight of the sofa is:
F = 0.625 w

Hope this helps :)

8 0

3 years ago

Starbucks opened two new locations. Location A costed $800 to open but makes $100 a month. Location B costed $1200 to open but m

zzz [600]

Answer:

I think it is A that will take longer but im not 100 percent sure

Step-by-step explanation:

First write an equation:

Location A- 800+100x

Location B- 1200+200x

Then you need to plug numbers in for x

3 0