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morpeh [17]
3 years ago
8

Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Le

ah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.
Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.

A.
(2.5, 15)

B.
(5, 20)

C.
(7.5, 12.5)

D.
(17.5, 5)

E.
(19, 1)
Mathematics
1 answer:
Contact [7]3 years ago
6 0

Answer:

A C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Leah wants to earn at least 120 dollars a month and she has two job options. This is written as

5x + 8y > 120

She also can't work more than 20 hours, leading us to the second equation

x + y = 20

First we solve for one variable

y = 20 - x

then substitute it into the first equation

5x + 8(20 - x) = 120

Solve for x

5x + 160 - 8x = 120

3x = 40

     x = 40/3

Then we solve for y

y = 20 - x

     y = 20/3

x < 40/3

y > 20/3

B and D will not work because their x+y is greater than 20.

E will also not work because the value is less than 120

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2 1/6 - (-8/3) + (-4 7/9) =
Vladimir [108]

Answer:

1/18

Step-by-step explanation:

First make it so they all have the same denominator.

So...

2 3/18 - (- 48/18) + (- 4 14/18)

Then we remove parenthesis...

2 3/18 +48/18 - 4 4/18

1/18

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5 0
3 years ago
At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperature is 50° Celsius. This
dybincka [34]

Answer:

D(t)=50(0.8)^t

Step-by-step explanation:

We are given that

Initially the difference between the cake's and the cooler's temperature ,a=50 degree Celsius

r=\frac{1}{5}/min

We have to find the function that gives the temperature difference in degrees Celsius D(t).

We know that

D(t)=a(1-r)^t

Substitute the values

D(t)=50(1-\frac{1}{5})^t=50(1-0.2)^t

D(t)=50(0.8)^t

This is required function that gives the temperature difference in degrees Celsius.

6 0
3 years ago
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PLZ I NEED HELP NOW!!!!!!!
taurus [48]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
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These figures are similar: angle R = ?
lesya692 [45]
It’s similar to D because they are going to have the same measured angle
5 0
3 years ago
TIMED QUESTION NEED HELP FASTWhat values of b satisfy 3(2b + 3)2 = 36?
egoroff_w [7]

Answer:

\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}

Step-by-step explanation:

3(2b+3)^{2}=36\\\frac{3(2b+3)^{2}}{3}=\frac{36}{3}\\(2b+3)^{2}=12

Taking square root both sides, we get

\sqrt{(2b+3)^{2}}=\pm \sqrt{12}\\2b+3=\pm \sqrt{4\times 3}\\2b+3=\pm 2\sqrt{3}\\2b+3-3=\pm 2\sqrt{3}-3\\2b=-3\pm 2\sqrt{3}\\b=\frac{-3\pm 2\sqrt{3}}{2}\\b=\frac{-3+ 2\sqrt{3}}{2}\textrm{ or }b=\frac{-3- 2\sqrt{3}}{2}

Therefore, the values of b are:

\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}

5 0
3 years ago
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