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VladimirAG [237]
2 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]2 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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slava [35]

9514 1404 393

Answer:

  A: (3x +4)

  B: (4x +5y) × (4x -5y)

Step-by-step explanation:

<u>Part A</u>:

Since we know the trinomial is a perfect square, we know the terms of each binomial factor are the square roots of the first and last terms of the trinomial.

  9x² +24x +16 = (√(9x²) +√16)² = (3x +4)²

The side of the square is 3x+4.

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<u>Part B</u>:

The difference of squares is factored like this:

  a²-b² = (a +b)(a -b)

The given area expression is the difference of squares with ...

  a = 4x, b = 5y

so, the factorization is ...

  16x² -25y² = (4x +5y)(4x -5y)

The dimensions of the rectangle are (4x+5y) by (4x-5y).

3 0
3 years ago
Jessica wants to buy a new chair that has a regular price of $75.00 this week the chair will be on sale at a 12% discount how mu
Novosadov [1.4K]

Answer: $9.

Step-by-step explanation:

It is given that,

Regular price of a new chair = $75.00

This week the chair will be on sale at a 12% discount. So,

Rate of discount = 12%

We need to find the amount of money that will Jessica save if she buys the chair this week.

Discount=12\%\text{ of }\$75.00

Discount=75\times \dfrac{12}{100}

Discount=9

Therefore, Jessica will save $9 if she buys the chair this week.

8 0
3 years ago
a portion of 7200 is invested at 5 1/2 percent interest, and the rest is invested at 5 percent interest. if the yearly income fr
lana [24]

Answer:

A 5.5% = 5400 B 5% = 1800

Step-by-step explanation:

A + B = 7200

A * 0.055 + B * 0.05 = $387

A = 7200 - B

(7200 - B)*0.055 + B*0.05 = 387

396 - 0.055B + 0.05B = 387

396 - 0.005B = 387

0.005B = 9

B = 1800

A = 7200 - B = 7200 - 1800

A = 5400

5 0
3 years ago
You rent a video game for $3.50 a month. Your total cost of rentals for the month was $31.50. write and solve an equation to fin
defon
The equation is 3.50x=31.50
The answer is 9
8 0
3 years ago
Use the circle graph shown below to answer the question.
weqwewe [10]
Football = 210 people = 42% on graph

210 ÷ 42 = 5
(Football People ÷ Percentage = People per percentage)

1% =5 people

100% = entire chart

100 × 5 people = 500 people

500 people were surveyed

Check work:
500 × .25 = 125 votes for soccer
500 × .33 = 165 votes for baseball
500 × .42 = 210 votes for baseball
                = 500 total votes
6 0
3 years ago
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