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VladimirAG [237]
3 years ago
15

Karen make $5 per hour babysitting and $12 per hour giving music lessons. On the weekend, she worked a total of 18 hours and mad

e $139. How many HOURS did she spend BABYSITTING
Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Answer:

11 hours

Step-by-step explanation:

Let's say Karen makes x hours babysitting and y hours giving music lessons.

Because she worked a total of 18 hours, we know that x + y = 18.

5 * x is how much money she earns babysitting for x hours, while 12 * y is how much money she earns giving music lessons for y hours. Adding them up gives her total revenue:

5x + 12y = 139

We now have a system of equations. Let's multiply both sides of x + y = 18 by 12:

12 * (x + y) = 18 * 12

12x + 12y = 216

Now, subtract 5x + 12y = 139 from 12x + 12y = 216:

     12x + 12y = 216

-     5x + 12y = 139

_________________

       7x + 0y = 77

Divide both sides by 7:

x = 11

Thus, Karen spent 11 hours babysitting.

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3 years ago
A line passes through (1, 8) and is perpendicular to the graph of y = 2x+1. What equation
Genrish500 [490]

Answer:

y = -1/2x + 17/2

Explanation:

y = 2x + 1 is in slope intercept form

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5 0
3 years ago
Please help me! Need answer quick!
aksik [14]

Let h = height of triangle


h^2 + 12^2 = 15^2


h^2 + 144 = 225


h^2 = 225 - 144



h^2 = 81


sqrt{h^2} = sqrt{81}


h = 9 cm


For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.


1. First find the lateral area.


LA = perimeter of triangle • height


LA = ph


p = 15 + 15 + 24


p = 30 + 24


p = 54 cm


LA = (54)(9)


LA = 486 cm^2


2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.


A = (1/2)bh


A = (1/2)(24)(9)


A = 108 cm^2


A = 2•108 cm^2


A = 216 cm^2 = our B in the surface area formula.


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SA = 216 cm^2 + 486 cm^2


SA = 702 cm^2


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6 0
3 years ago
Camillo estimates the weight of his dog. The veterinarian says that the dog weighs 84 pounds. The percent error in Camillo's est
Makovka662 [10]

Answer:

A.Yes B.Yes C.No D.Yes E.No F.No

Step-by-step explanation:

10% of 84 is 8.4 and 84-8.4=76.6 and anything between 76.6-84 could have been the estimate.

7 0
3 years ago
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