Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complete the project in 8 hours. Kaitlyn can complete the project in 6 hours. Hayden wants to know how long it will take them to complete the project together. Write an equation and solve for the time it takes Cody and Kaitlyn to complete the project together. Explain each step.

Answers

Answer 1
Answer: Cody can do the job in  8  hours.
He does  1/8  of the job each hour.

Caitlyn can do the job in  6  hours.
She does  1/6  of the job each hour.

Working together, they do (1/8 + 1/6) of the job each hour.
Can you add those fractions ?
Change both to a denominator of  24.
1/8 = 3/24
1/6 = 4/24
                   (1/8 + 1/6) = (3/24 + 4/24) = 7/24

Working together, they do  7/24  of the job each hour.

Invert  (7/24  job/hour)  and you have  (24/7  hour/job) .

24/7  =  (3 and 3/7) hour/job.

Together, it takes them  3-3/7 hours.
(That's 3hours 25minutes 42.9 seconds.)

The question says "write an equation".

The equation could be     H (number of hours) = 1 / (1/8 + 1/6)

 

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1) Area = 150 in?, width = 10 inWhat’s the length =
Two lines, C and D, are represented by the equations given below:Line C: y = x + 14 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why? (5 points) (6, 20), because both lines pass through this point (6, 20), because the point does not lie on any axis (3, 11), because one of the lines passes through this point (3, 11), because the point lies between the two axes

A rectangle has a perimeter of 238 meters and a length of 67 meters what is the area of the rectangle

Answers

Answer:

3,484 meters squared

Step-by-step explanation:

Since it’s a rectangle, opposite sides are the same length. This means 2 of the sides are 67 meters each, since the length of the rectangle is 67 meters. To find the width, add the 2 sides together that we know the length of (in this case it would be 67+67) and subtract it from the total perimeter (238-[67+67]). Take the result (104) and divide it by 2 (104÷2=52). Now that we know the width is 52 meters, you can find the area by multiplying the length times the width (67*52=3,484 meters)

Remember that the perimeter is the total length around the outside of the shape, and the area is the space inside of the shape

I’m not good at explaining things but I hope this helps!

Spencer is working with his financial advisor to create some personal financial goals for the next year. One of his goals is to reduce the amount of debt he has. Which statement could make his goal specific and timely?A.
He should focus on just his student loan debt and give himself a deadline of five years.
B.
He should ask a friend to be his accountability partner and remind him of his goal every two weeks.
C.
He should review his current finances to determine how much he can allocate to his goal.
D.
He should pay only the minimum payment on his credit card statement each month.

Answers

The statement could make his goal specific and timely is A. He should focus on just his student loan debt and give himself a deadline of five years.

What is Debt?

Debt is when one party borrows something—typically money—from another. Many businesses and individuals turn to debt in order to finance major expenditures that they would not otherwise be able to make.

A debt agreement permits the borrowing party to borrow money with the requirement that it be repaid at a later time, typically with interest. Many businesses and people turn to debt in order to finance major expenditures that they would ordinarily find difficult to make.

In a financial agreement based on debt, the borrower is given permission to borrow money with the understanding that it must be repaid later, typically with interest.

Secured, unsecured, revolving, and mortgaged debt can all be categorized into one of four groups.

Financial goals-

Financial goals are aspiration for savings and spending your money. It can be helpful to visualize how you want to handle your finances for your personal and professional interests.

The financial goals can be of long term and short term.

Hence, A. is the correct answer.

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Answer:

He should focus on just his student loan debt and give himself a deadline of five years.

Step-by-step explanation:

I just got this answer right on Plato.

What percent of 80 is 56 ( how do i show my work for this)

Answers

Simple......................... :D

It's asking...

What percent of 80 is 56? 
----------->>>

----->>>

x*80=56

80x=56

x=(56)/(80)

=0.7

Change into a percent...(Move decimal to the right 2 places...)

=70%

Thus, your answer.

Hi there! P%=Y/X. P%=56/80. P=0.7. P%=0.7*100=70%. Therefore. 70% of 80 is 56.

Divide 6/13 by 6/12 .
A. 1/12
B. 9/16
C. 12/13
D. 13/12

Answers

If you would like to divide 6/13 by 6/12, you can do this using the following steps:

6/13 / 6/12 = 6/13 * 12/6 = 12/13

The correct result would be C. 12/13.
Use the formula:

(a)/(b) /  (c)/(d) =  (a)/(b) *  (d)/(c)  = \boxed{\bf{(ad)/(bc)}}

Let's solve your question:
(6)/(13)/  (6)/(12)  =  (6)/(13) *  (12)/(6) =\boxed{\bf(12)/(13)}}

Your answer is C. 12/13.

Line SU bisects angle RST. Which statement is NOT true?A) ∠RST = ∠RSU
B) ∠RSU = ∠UST
C) ∠SQU = ∠SPU
D) PS = QS

Answers

In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.
so the answer is B

Answer : The incorrect option is, (A) ∠RST = ∠RSU

Step-by-step explanation :

As we are given that, line SU bisects angle RST and SPUQ is a rhombus.

First we have to determine that ΔSQU and ΔSPU are congruent triangles.

Proof:

Side SU = Side SU (common side)

∠SQU = ∠SPU (In rhombus opposite angle are always equal)

∠RSU = ∠UST (angle bisector)

ΔSQU ≅ ΔSPU (By ASA congruency)

So, Side PS = Side QS

∠RST = ∠RSU this option is wrong because \angle RSU=(1)/(2)\angle RST

Thus, the incorrect option is, (A) ∠RST = ∠RSU

How do I solve for the equation s=3f-24? Solve for f

Answers

s-3f=-24
-3f=-24-s
3f=24+s
f=24+s/3

Final answer:

To solve for 'f' in the algebraic equation 's=3f-24', add 24 to 's' and then divide the result by 3.

Explanation:

To solve the algebraic equation 's=3f-24' for 'f', you would first decide to isolate 'f'. To do this, start by getting rid of the '-24' on the right side of the equation by adding 24 to both sides. This would simplify the equation to 's+24=3f'. Next, divide both sides of the equation by 3. This step will result in a final solution of 'f=(s+24)/3'. So, to solve for 'f' in the provided equation, simply add 24 to the original 's' value and then divide the result by 3.

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