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hodyreva [135]
3 years ago
5

It would take Marco 6 hours to paint a fence by himself. It would take Jaylyn 5 hours to paint the same fence by herself. Marco

is creating this table to help him determine how long it would take them to paint the fence together. Which heading should be written above the first column of numbers?
Mathematics
2 answers:
goldfiish [28.3K]3 years ago
6 0

Answer:

A: rate (part/hour)

Step-by-step explanation:

Lyrx [107]3 years ago
4 0

<u>Answer</u>

Time taken to paint the fence by Marco  and Jaylyn is 2.72 hours

Heading can be given to this is work per hour

<u>Explanation</u>

Macro 6 hours to paint fence by himself

Therefore his 1 hour work = 1/6

Jaylyn 5 hours to paint the same fence by herself

Therefore 1 hour work of  Jaylyn  = 1/5

Together 1 hour work = 1/6 + 1/5 = 11/30

Therefore time taken to paint the fence together by them = 30/11 = 2.72 hours

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Step-by-step explanation:

 

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For each order pair (x,y) , determine whether it is a solution to the inequality 4x-6y_&lt; - 18
anyanavicka [17]

Solution:

Given:

4x-6y\leq-18

To determine if an ordered pair is a solution, we substitute the x and y-values into the inequality and check if it is true.

Thus,

\begin{gathered} For\text{ the point }(-9,-2) \\ x=-9,y=-2 \\ 4x-6y\leq-18 \\ 4(-9)-6(-2)=-36+12=-24 \\ Since\text{ }-24

\begin{gathered} For\text{ the point }(0,3) \\ x=0,y=3 \\ 4x-6y\leq-18 \\ 4(0)-6(3)=0-18=-18 \\ Since\text{ }-18=-18,\text{ then }(0,3)\text{ is a solution} \end{gathered}

\begin{gathered} For\text{ the point }(5,-3) \\ x=5,y=-3 \\ 4x-6y\leq-18 \\ 4(5)-6(-3)=20+18=38 \\ Since\text{ }38>-18,\text{ then }(5,-3)\text{ is not a solution} \end{gathered}

\begin{gathered} For\text{ the point }(8,5) \\ x=8,y=5 \\ 4x-6y\leq-18 \\ 4(8)-6(5)=32-30=2 \\ Since\text{ }2>-18,\text{ then }(8,5)\text{ is not a solution} \end{gathered}

Therefore, the correct answers are selected as shown below;

7 0
1 year ago
Dylan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commi
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P=2.50x+100

The slope of the function is 2.50 which represents the commission Dylan makes for each computer sale. :)

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3 years ago
A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Dir
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Answer:

A. The difference in height between the pelican and the heron is -33 feet.

E. The difference in height between the pelican and the trout is 40 feet.

F. The distance between the heights of the pelican and the trout is 40 feet.

Step-by-step explanation:

<h3> The missing statements are:</h3><h3> A. The difference in height between the pelican and the heron is -33 feet</h3><h3> B. The difference in height between the pelican and the heron is 33 feet</h3><h3> C. The distance between the heights of the pelican and heron is -33 feet</h3><h3> D. The difference in height between the pelican and the trout is -40 feet</h3><h3> E. The difference in height between the pelican and the trout is 40 feet</h3><h3> F. The distance between the heights of the pelican and the trout is 40 feet.</h3><h3 />

Let be 0 the sea level.

Since the heron is perched in a tree 50 feet above sea level and directly below the heron the  pelican is flying 17 feet above sea level, you can find the difference in height between the pelican and the heron by subtracting 50 feet from 17 feet.

Then, you get that this is:

17\ feet-50\ feet=-33\ feet

Now, according the the information given in the exercise, you know that the trough is swimming directly below them and its height is 23 feet below sea level. If you represent this with an integer, this is:

-23

Therefore you can find the difference in height between the pelican and the trout through the following subtraction:

17\ feet-(-23\ feet)=17\ feet+23\ feet=40\ feet

And the distance between them is 40 feet too.

8 0
3 years ago
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