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zysi [14]
3 years ago
14

Harper is working two summer jobs, making $19 per hour lifeguarding and making $8 per hour walking dogs. In a given week, she ca

n work at most 7 total hours and must earn a minimum of $80. If x x represents the number of hours lifeguarding and y y represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.
Mathematics
1 answer:
ohaa [14]3 years ago
5 0

Answer:

We know that:

She makes $19 per hour of lifeguarding.

She makes $8 per hour walking dogs.

She can work at most 7 hours per week.

She must earn a minimum of $80 per week.

If x represents the number of hours lifeguarding and y represents the number of hours walking dogs, the inequalities will be:

x + y ≥ 7 hours.

(this says that she can work at most 7 hours per week)

x*$19 + y*$8 ≥ $80

(this says that she can earn a minimum of $80)

Then the system of inequalities is:

x + y ≥ 7 hours.

x*$19 + y*$8 ≥ $80

To graph these two we can write them as lines in standard form and simply graph both inequalities, the solution of the system will be the intersection between the solutions of each inequality.

Here we also should add the inequalities:

x ≥ 0

y ≥ 0

So we only look at the first quadrant.

The graph can be seen in the image below: (the dark blue is the solution region for the first inequality, the light blue one is the solution region for the second inequality)

 

One possible solution can be:

x = 4 and y = 1

or

x = 4 and y = 2

and there are a lot of other possible solutions.

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26 is the answer to 40% of 65
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3 years ago
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In the figure below, B is between A and C, and C is between B and D. If AC=9, BD=10, and BC-2, find AD
ehidna [41]

Considering the situation described in the problem, the length of segment AD is of: 17 units.

<h3>How to find the length of segment AD?</h3>

From the situation described in the problem, segment AD is divided into three parts:

  • Part AB.
  • Part BC.
  • Part CD.

Then, the length of segment AD is:

AD = AB + BC + CD.

We have that AC = 9, hence:

AB + BC = 9.

We also have that BD = 10, then:

BC + CD = 10.

Since BC = 2, we have that:

  • AB + BC = 9 -> AB + 2 = 9 -> AB = 7.
  • BC + CD = 10 -> 2 + CD = 10 -> CD = 8.

Then the length of segment AD is given as follows:

AD = AB + BC + CD = 7 + 2 + 8 = 17.

More can be learned about the length of segments at brainly.com/question/7694028

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4 0
1 year ago
Alexandra has some dimes and some quarters. She has no more than 21 coins worth a minimum of $3.75 combined. If Alexandra has 4
olga55 [171]

Answer:

A minimum of 10 dimes and 11 quarters is what Alexandra will have

Step-by-step explanation:

Let

d = number of dimes

q = number of quarters

Since she has 21 coins altogether,

d + q = 21------------------------equation 1    

  •  If these coins are worth $3.75 then

0.10 x d + 0.25 x q = 3.75

  • which is 0.10d +.25q =3.75 --------------------------equation 2

where $.10 is the value of one dime and $.25 is the value of one quarter

make d the subject of formula from equation 1 d = 21 -q----------equation 3

 insert it in equation 2

0.10d +0.25q =3.75

0.10(21-q) + 0.25q = 3.75

0.1(21)-0.1q+0.25q=3.75

2.1 +0.15q = 3.75

0.15q  = 3.75-2.1 = 1.65

q = 1.65/0.15 =165/15 =11

  • since we have the value of q insert in equation 3

d = 21 - q

d = 21-11

d = 10

Alexandra has 10 dimes and 11 quarters.

from my calculation i can see that the a minimum of 10 dimes and 11 quarters is what Alexandra will have

4 0
3 years ago
Someone help me with what p and q equals?
nevsk [136]
Q = 6 and p = 5

It’s a parallelogram so the side opposite are the same.

6 = q - 3
Subtract 3 and add it to 6 and you get 9
9=q
5 0
2 years ago
Expand the expression log (xy/4)<br><br> please show your work trying to lean it
Elza [17]
Log xy/4 =
log xy - log 4 =
log x + log y - log 4
4 0
3 years ago
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