Question

I really need help on number 1 please. Would really appreciate the assistance.

Answer 1

The question can be solved by simply making an equation with the information given:

$35 per hour

$90 to start because of the parts

$265 overall

We can make the following equation out of this:

35x + 90 = 265

From here, just solve for x:

35x = 175          Subtract 90 from both sides.

x = 5                  Divide both sides by 35 to isolate the x variable.

Therefore, the mechanic expects the job to take 5 hours to complete.

Hope this helps! :)

EDIT 1: I tried to post this as a comment, but it didn't let me, so I'll just update this.

Question 2:

For the second question, you can make another equation with the given information. For the purpose of the equation, lets say A, B, and C are the lengths of each of the 3 corresponding sections. A and B are the same length, whilst C is double. This can be put into the equation:

A + B + 2A = 60

But because we know A = B, we can make it

2A + 2A = 60

4A = 60

From here, just divide both sides by 4, giving you

A = 15

B is the same, so

B = 15

and C is double, so

C = 30.

Just to rephrase for clarity: A = 15  B = 15  C = 30.

Again, hope this helps, and have a great day! :)

EDIT 2:

Question 3: For the third question, the following information is given:

96 feet overall (perimeter)

length = 16 + 3w

Like the previous two times, we make an equation with the given information. I would use substitution, which in this case I substituted the length for what we defined it as (REMEMBER: the equation of a rectangle is 2l + 2w = p; don't forget to multiply the length and width by 2):

2(16 + 3w) + 2w = 96

Now simplify the parentheses (distribute the 2):

32 + 6w + 2w = 96

8w = 64

w = 8

Now that we know the width is 8, all we need to do is plug it in to the equation for length we made:

length = 16 + 3(8)

length = 16 + 24

l = 40

Therefore, the dimensions of the garden are 40 x 8; in other words, length is 40 and width is 8.

If you want to check, just plug 40 and 8 into 2l + 2w = 96:

2(40) + 2(8) = 96

80 + 16 = 96

96 = 96          It works!

For a third time, hope this helps, and have a great day/night! :)