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Jet001 [13]
3 years ago
5

Mowing lawns earns $10.00 for 1 hour and $42.00 for 5 hours. what is the slope

Mathematics
1 answer:
dangina [55]3 years ago
3 0

Answer:

The slope is $8 per hour

Step-by-step explanation:

Here, we want to get the slope of the relation

Mathematically, that will be;

m = y2-y1/x2-x1

Where ; (no of hours, money) represents each point

Thus, we have it that

m = (42-10)/(5-1) = 32/4 = $8/ hour

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COOKING Franklin is cooking a 3-pound turkey breast for 6 people. If the number of pounds of turkey varies directly with the num
Gwar [14]

<u>Answer-</u>

2, 4, and 8 people will need 1, 2, 4 pounds of turkey respectively.

<u>Solution-</u>

Given in the question, number of pounds of turkey varies directly with the number of people, i.e as the number of people increases or decreases, the pound of turkey also increases or decreases.  

Taking,

x = number of people,

y = pounds of turkey.

This condition can be represented as,

\Rightarrow y\ \alpha \ x\\\Rightarrow y=kx

As given in the question, when x = 6 y = 3

\Rightarrow 3=k\times 6

\Rightarrow k=\frac{3}{6}= \frac{1}{2}

Now, putting the values of k in the equation, the equation becomes

\Rightarrow y=\frac{1}{2}x

Now, we can get the values of y or number of pounds of turkey needed by putting the given x or number of people.

All the calculations are shown in the attached table.


5 0
2 years ago
Given angle ABC shown on the coordinate plane below.
Crank

The attached image shows the image of A"B"C" after the transformation

<h3>What is the transformation of the triangle about?</h3>

The transformation rule states:

A"B"C" = Ro90° (T(-4,3)(ABC))

This implies that one need to rotate the triangle in a 90⁰ clockwise direction, and then one need to translate the triangle.

Using the image shown, the coordinates of ABC are;

A = (-1, 2)

B = (1, 4)

C = (3, -1)

The 90⁰ rule clockwise rotation  will be:

(x,y) -- (y,-x)

So, when translated, it will be:

A' = (2, 1)

B' = (4, -1)

C' = (-1, -3)

Then the translation of the triangle using T(-4,3):

(x, y) -  (x - 4, y + 3)

So, there is:

A'' = (-2, 4)

B'' = (0, 2)

C'' = (-5, 0)

Learn more about transformation from:

brainly.com/question/28108536

#SPJ1

6 0
1 year ago
A bin contains 64 light bulbs of which 10 are defective. if 5 light bulbs are randomly selected from the bin with replacement, f
Sloan [31]
Total number of bulbs = 64
Number of defective bulbs = 10
Number of good bulbs = 64 - 10 = 54

P(5 good bulbs) = (54/64)⁵ = (27/32)⁵ = 0.428


Answer: 0.428
3 0
3 years ago
3х + бх = ух<br> What I the answer
Dominik [7]

Answer:

dy=9-y

dx=x

Step-by-step explanation:

5 0
3 years ago
Identify the solution set of the given inequality using the given replacement set.
scoundrel [369]
Another user previously answered this same question and had a good rating, his answer was as follows:

"{-9; -6.5; -5.2}" 

Which I suppose would be answer D.
- Hope it helps.

3 0
3 years ago
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