The Hendersons have just bought a home that requires some monthly yard maintenance. They are trying to decide if they should hire a professional lawn care service to maintain the property or do it themselves. Below are the costs associated with both options:Professional Service Option Do-It-Yourself Option
$75 for the first month $250 lawnmower
$45 per month after initial visit $135 edger
Includes mowing and edging the $69 hedge trimmer
lawn, trimming the bushes, and $25 rake
raking the leaves.


How long would it take before the Hendersons would recover their costs if they chose to do it themselves over the professional service?
a.
5 months
b.
9 months
c.
10 months
d.
6 months

Answers

Answer 1
Answer: First, add together the costs for buying their own stuff. 250+135+69+25=479.

Then figure for the professional costs. Put it in perspective of a year. 45*11+75=570. 

Then subtract. Professional- DIY. 570-479=91. 

$91 is about 2 months worth of work. So a year has 12 months.

12-2=10

Answer:10 months
Answer 2
Answer:

Professional Service Option Do-It-Yourself Option:

First month lawnmower = $250

Initial visit = $135

Price for mowing and edging = $69

Price for lawn and bushes trimming = $ 25

Hence, total cost becomes = 250+135+69+25 = $479

Professional service cost for 1 month lawnmower = $75

Professional cost for visit for 11 months (1st visit costs $135) = $45

Total cost for 11 months = 45*11 = $495

Total professional cost = 495+75 = $570

Now, subtracting the professional cost and do it yourself cost we get;

$570-$479=$91. 

This $91 is for 2 months worth of work. Hence, months needed to recover costs = 12-2 = 10 months

Hence, the answer is 10 months.


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-0.52z = -0.13 what does Z equal

Answers

Answer:

z = 0.25

Step-by-step explanation:

-0.52z = -0.13

Divided by -0.52 on both sides.

z = 0.25

So, the answer is z = 0.25

Answer: a = 0.25

Step-by-step explanation:

Step 1) Write Out The Equation (-0.52z = -0.13)

Step 2) Divide Both Sides (-0.52z/-0.52 and -0.13/-0.52)

Answer) z = 0.25

Angle P is 3 more than twice angle M. If the two angles are complementary, find the measure of the two angles.

Answers

Answer:

  • 29° and 61°

Step-by-step explanation:

Complementary angles sum up to 90°

Given

  • P + M = 90°
  • P = 2M + 3°

Substituting P in the first equation

  • 2M + 3° + M = 90°
  • 3M = 87°
  • M = 29°

Then

  • P = 90° - 29° = 61°

GiveN:

  • Angle P is 3 more than twice angle M.
  • The two angles are complementary.

ToFinD:

  • Measure of the two angles.

Step-wise-StepExplanation:

Complementary angles are angles that add upto 90°. They need not to be adjacent Always.

According to question, Angle P = 2(Angle M) + 3°. And they add upto 90°.

⇒ Angle P + Angle M = 90°

⇒ 2(Angle M) + 3° + Angle M = 90°

⇒ 3 Angle M + 3° = 90°

⇒ 3 Angle M = 87°

⇒ Angle M = 29°

Then, Angle P = 2(29°) + 3° = 61°. Hence, the two complementary angles are 29° and 61°.

What times 24 plus whag equals 1,947

Answers


THIS IS WHAT I KNOW 81.125 TIMES 24 EQUALS 1,947

Complete the function table and write the rule.

Answers

Input  Output
32       20
14        2
?         -6
-2          -14
-10       ?
OK,  With the ones I have gotten full answers on,  the pattern is y=x-12
So,  ? one is 6 because you ADD 12.
? 2 on the y side is -22 because you subtract 12!

Read the real-world problem.Jonah wants to buy two copies of a book.
Which algebraic expression could Jonah use to find the value of the items?

A.
2b

B.
b • b

C.
b + d

D.

Answers

2 copies = b + b = 2b

answer is A. 
2b

IXL- 8th grade math W.14A person can pay $11 for a membership to the art museum and then go to the museum for just $5 per visit. What is the maximum number of visits a member of the art museum can make for a total cost of $31?

Answer In the number of visits. (Step by step if you could please I’m doing this IXL having no idea how to do these)

Answers

Answer:

4 visits.

Step-by-step explanation:

First make an equation to represent the cost of the museum stuff using the formula y=mx+b

y=5x+11 would be the formula because you pay a flat fee of $11 for the membership and $5 for each visit after (x represents visits, y represents total cost)

Now we need to figure out how many visits a bill of $31 would represent.

We plug in 31 for y because y represents the total cost.

31=5x+11

Now solve for x.

Subtract 11 from both sides: 20=5x

Divide each side by 5: 4=x

Since x=4, it means that a bill of $31 would represent four visits.

Answer:

The maximum number of visits a member of the art museum can make for a total cost of $31 is 4 visits.

Step-by-step explanation:

Since the person must pay a membership fee of $11, we can deduct $11 from the total cost of $31.

$31 - $11 = $20

Now, we have $20 left to max out. Since each visit to the art museum is $5 per visit, we can divide 20 by 5.

$20 / $5 = 4

So the answer must be the person can make 4 maximum visits (and buy a membership) to equal $31. Hope this helps.