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mariarad [96]
3 years ago
6

Katherine is working two summer jobs, making $16 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she

can work a maximum of 15 total hours and must earn at least $160. If Katherine worked 2 hours walking dogs, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.
Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

Katherine need to work minimum 10 hours lifeguarding to meet her requirements

Step-by-step explanation:

Given:

Rate for Lifeguarding = $16\ per\ hour

Rate for walking dogs = $6 \ per\ hour

She had worked 2 hours walking dog

Money for walking dogs = Rate for walking dogs\times hours worked=\$6\times2=\$12

she can work a maximum of 15 total hours and must earn at least $160.

Let hours required for lifeguarding be x

Money for life guarding = Rate for walking dogs\times hours worked for lifrguarding= \$16 \timesx=16x

Total Money she must earn = Money for lifeguarding + Money for walking dogs

16x+12=160\\16x=160-12\\16x=148\\x=\frac{148}{16}=9.25 \ hours

Rounding to nearest hour

Katherine need to work minimum 10 hours lifeguarding to meet her requirements

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Which choice is equivalent to the expression below? 12^-2<br> 12 Points!!!!
Brut [27]

D

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If (-1, y) lies on the graph of y=2^2x then y=
zubka84 [21]

Answer:

y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.

I believe the equation to be y=2^{2x}.  If you meant y=2^2x, please let me know.

Thanks kindly.

Step-by-step explanation:

If (-1,y) lies on the graph of y=2^{2x}, then by substitution we have:

y=2^{2\cdot -1}.  

We just need to simplify to determine y:

y=2^{2 \cdot -1}  

Multiply the 2 and -1:

y=2^{-2}

Use reciprocal rule for exponents to get rid of the negative:

y=\frac{1}{2^2}

2^2 just means 2(2):

y=\frac{1}{2(2)}

y=\frac{1}{4}.

8 0
3 years ago
Emilio bought 5.65 of green grapes and 3.07 pounds of red grapes
NISA [10]

The weight of each bag is 0.545 lb .

<h3>What is weight ?</h3>

Weight in maths is the value of the mass of an object on a measuring scale , It is measured in pound , ounce , kilogram etc.

It is given that

Total weight of green grapes = 5.65 lb

Total weight of red grapes = 3.07lb

Total weight = 5.65 +3.07 = 8.72   lb

Total number of bags = 16

the weight of each bag

= 8.72 / 16

= 0.545 lb

Therefore the weight of each bag is 0.545 lb .

The complete question is

Emilio bought 5.65lb  of green grapes and  3.07lb of red grapes. He divided the grapes equally into 16 bags. If each bag of grapes has the same weight, how much does each bag weigh?

To know more about Weight

brainly.com/question/10069252

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5 0
2 years ago
If A = -3 + 5i, B = 4 - 2i, and C = 1 +6i, where i is the imaginary unit, then A - BC equals
Maslowich

Answer:

3) -19 - 17i is our answer

Step-by-step explanation:

to solve A - BC we plug in the values given

A= -3 + 5i

B = 4 - 2i

C = 1 + 6i

-3 + 51i - (4 - 2i)(1 + 6i) is our expression. we can FOIL (4 - 2i)(1 + 6i) this expression out. FOIL stands for:

First

Outside

Inside

Last

i will highlight the terms i am using in the current step in bold and put the result next of those two terms next to the expression

F: (4 - 2i)(1 + 6i) = 4

O: (4 - 2i)(1 + 6i) = 24i

I: (4 - 2i)(1 + 6i) = -2i

L: (4 - 2i)(1 + 6i) = 12 < --- the reason why its 12 and not -12i or 12i is because <em>i</em> = √-1 and i² = -1

when we multiply -2i * 6i, we would have gotten a -12i², and i² = -1, so we are multiplying -12 by -1, which gives us 12 as the result

combining all these terms together and we have:

4 + 24i - 2i + 12

in the expression this is:

-3 + 5i - (4 + 24i - 2i + 12) < we need to distribute the negative sign into (4 + 24i - 2i + 12) and we now get:

-3 + 5i -4 - 24i + 2i - 12 < combine like terms (ex: i terms together)

-3 - 4 - 12 = -19

5i - 24i + 2i = -17i

the result of the expression is:

-19 - 17i

we cannot simplify this any further so this is our answer. the answer choice that matches this is 3, so 3) -19 - 17i is our answer

6 0
3 years ago
Multiply: (5.8 x 10^-6) x (2 x 10^4).
Nitella [24]

Answer:

1.16*10^{-1}

Step-by-step explanation:

(5.8*10^{-6}) *(2*10^{4})\\=11.6*10^{-2}\\=1.16*10^{-1}

6 0
3 years ago
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