Claire is working two summer jobs, making $7 per hour washing cars and making $15 per hour clearing tables. In a given week, she can work at most 9 total hours and must earn a minimum of $90. If xx represents the number of hours washing cars and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

Since Claire is working two summer jobs, making $ 7 per hour washing cars and making $ 15 per hour clearing tables, and in a given week, she can work at most 9 total hours and must earn a minimum of $ 90, to determine one possible solution the following calculation must be performed:

15 x 9 = 135 135 - 90 = 45 45/7 = 6.42 6 x 7 + 3 x 15 = 42 + 45 = 87 5 x 7 + 4 x 15 = 35 + 60 = 95

Therefore, at a minimum, Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

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Related Questions

A diameter of a circle has endpoints at (-3, 2) and (-3,-3). What are the coordinates of the center
of the circle?
A (0, 3)
B(-3,-1)
C(-6, -1)
D (-3, 0)

Answers

Answer:

B (-3, -1/2)

Step-by-step explanation:

2 and -3 are 5 units apart which means that the middle is 2 1/2 from either point. This point is (-3, -1/2)

Have a great day!

find the missing angle measure
m<s=
m<u=

Answers

Answer and Step-by-step explanation:

The interior angles of a triangle a add up to 180. We can find x by subtracting everything from 180, and then divide for x.

180 = x + 4 + 68 + x

Simplify.

180 = 2x + 72

Subtract 72 from both sides of the equation.

108 = 2x

Divide each side by 2.

x = 54

The angles of the triangle are:

Angle S = 54

Angle U = 58

Angle T = 68

#teamtrees #PAW (Plant And Water)

What are the answers for 1-4 this is geometry.

Answers

Answer/Step-by-step explanation:

1. x*21 = 24*14 (intersecting chords theorem)

21x = 336

x = 336/21

x = 16

2. 27*x = 45² (secant-tangent rule)

27x = 2,025

x = 2,025/27

x = 75

3. (x + 5)*5 = (4 + 6)*6 (Intersecting secants theorem)

5x + 25 = (10)*6

5x + 25 = 60

5x = 60 - 25

5x = 35

x = 35/5

x = 7

4. (4x + 2)*8 = (5x + 1)*7

32x + 16 = 35x + 7

Collect like terms

32x - 35x = -16 + 7

-3x = -9

x = -9/-3

x = 3

use the graph to answer these questions. what is the slope and y-intercept?

Answers

slope: -1/4

y-int: -1

y=(-1/4)x-1

What is the median for the set of data?

6, 7, 10, 12, 12, 13

Answers

Okay here goes nothing The answer is 12

Find the volume of the hemisphere.

Answers

V(sphere) = 4/3 * π * r³ . Therefore, the volume of a hemisphere formula is as follows: V = V(sphere)/2 , V = 2/3 * π * r³ .

What is the equation of a line with a point of (-12,8)and a slope of 1/2?

Answers

y-8=1/2(x+12)
it is plus twelve because if you have the minus already there, with a negative it turns positive

PLEASSEE HELP MY ASSIGMENT IS ALMOST DUEEE!!! PLEASE HELP MY I WILL GIVE YOU BRAINLEST

Answers

Answer:

ill help you whats the question

Step-by-step explanation:

Answer:

what do we answer I see nothing

Step-by-step explanation:

??

Simplify the expression:
2(2 + 4k)

Answers

12k is your answer
Brainliest would be nice
Simplify the expression
2(2+4k)
(4+8k) = 12k
2(2+4k) = 12k

|x+2), if x >- 1
Plz plz plz help

Answers

x greater than -1 numbers could be 0,1,2,3,4,5...

All positive integers is the answer. (I think)

HELPO PLS TYSMMM
I’m bad so help lol

Answers

Answer:

no, yes, yes , no, yes

Step-by-step explanation:

Answer above me is correct

What is 73/48 simplified

Answers

Answer:

The Decimal form is: 1.52083 (and the 3 keeps going and going)

Is mixed number it is: 1 25/48.

Another question how fast is Andrew traveling?

Answers

Answer:

Danny

Step-by-step explanation:

Danny's speed is given:

15 mph

Andrew's speed is found from the table.

Since its the direct relationship, we find it using one pair of values:

Speed = miles/times = 21.75/1.5 = 14.5 mph

Danny is faster as 15 mph > 14.5 mph

Speed =Distance/Time

Here speed is equal to slope of box

m=y/xm=29/2m=14.5mph

Danny is faster as his one is 15mph

1. Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours

of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.

Answers

The question is incomplete. The complete question is :

Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours  of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.

Which study appears to look for an association between two variables without actively manipulating either one. What are those variables ?

Solution :

The second study in the context is involved in asking for a random sample of the students at an university to provide a report the average hours of sleep that everybody get each night and also the grade point of their college appears for association between these two variables without actively changing either of one.

These variables are the grade point average of the students and the numbers of hours of sleep.

John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?

Answers

Answer:

20oz

Step-by-step explanation:

60%=12oz

this can be simplified into 1%

in order to find 1% divide by 60

60%/60=1%

in order to find out how much 1% is, divide 12oz by the number used to divide the percent

12/60=0.2

so 0.2=1% and we want to know 100% so multiply by 100

0.2x100=20

1%x100=100%

so 20oz=100% of the bottle

Given an = 3n-5, what is the common difference?

Answers

Answer:

3

Step-by-step explanation:

A common difference is found in arithmetic sequences. The simplified formula for arithmetic sequences, which is what is used here, is [tex]a_{n}=dn-a_{0}[/tex]. Where d is the common difference and [tex]a_{0}[/tex] is the zeroth term. So, in the given equation 3 must be the common difference.

solve 2x + 3y = 4 - 2x - y = -8

Answers

Answer:

y = -2 and x = 5

Step-by-step explanation:

2x + 3y = 4

-2x - y = -8

Since this is a system of equations, we can either substitute or subtract. I will be subtracting.

2x + 3y - 2x - y = 4 - 8

2y = -4

y = -2

Now that we have y, we will plug it in for the first equation and solve.

2x + 3(-2) = 4

2x - 6 = 4

    + 6  + 6

2x = 10

x = 5

Plz help me solve and show your work.

Answers

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]

Write the repeating decimal as a mixed number.

Answers

The answer is 11 & 51/100!

The side length of a cube is 8 cm, and the side length of a smaller cube is 2 cm.
The volume of the larger cube is how many times the volume of the smaller cube?

Answers

Answer:

64 times larger

Step-by-step explanation:

8^3=512

2^3=8

512/8=64

hey i need help finishing this question on my exit ticket asap please i don’t want no links just the answer

Answers

Answer:

201.06

Step-by-step explanation:

201.06 """"""""""""""""""

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Answers

Answer:the third one (c)

Step-by-step explanation:

PLEAS HELP ILL GIVE BRAINLIEST
SHOW WORK OR NO BRAINLIEST

Answers

Answer:

Marta spent a total of $34.29

Step-by-step explanation:

Since she bought 3 towels for $8.50 each you would do 3 times $8.50 to get $25.50 for the towels and since she bought 5 washcloths for $1.25 each you would do 5 times $1.25 to get $6.25 then you would add the totals to get $31.75. Then you would find out the tax by finding out what 8% of $31.75 is which would be 2.54. So you would add $2.54 to $31.75 to get $34.29. So the total amount of money that Marta spent is $34.29

3 times $8.50 = $25.50

5 times $1.25 = $6.25

$25.50 + $6.25 = $31.75

10. Find the measure of exterior angle TUV below. Record your answer on the grid.

Answers

Answer:

41

Step-by-step explanation:

select the expression that is equivalent to (x+5)^2-(x-3)(x+5)

Answers

do u have the answer options?

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit:total of the monthly payments=3:5 she makes 6 equal monthly payments. Work out her monthly payment

Answers

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

The deposit is of x.The total of monthly payments the remainder, that is, 2400 - x.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

triangle with angle measures 85°, 35°, and 60°

Answers

Answer:

It should equal 180 i think correct me if im wrong

Help me out please?.

Answers

Answer: Rotation, Translation and Reflection

Explanation
Rotation, translation and reflection moves the shape, resulting in a congruent shape but in a different position. Dilation changes the length/width of the shape. The shape can be similar, but not congruent.

what would be the answer

Answers

Answer:

B= 21.195

Step-by-step explanation:

Inner circle area = 3.14×1.5×1.5=7.065

Outer circle area = 3.14× 3×3 = 28.26

3 is the radius of the outer circle

Area of the shaded portion is = area of outer circle - area of inner circle

28.26-7.065=21.195

Answer B= 21.195

Let f(x) = 7x² + 19x + 21 and g(x) = 4x² + 4x + 3 . Identify the solution(s) of f(x) = g(x).

Answers

Answer:

-3 and -2

Step-by-step explanation:

7x² + 19x + 21 = 4x² + 4x + 3

combine like terms:

3x² + 15x + 18 = 0

3(x² + 5x + 6) = 0

(x + 3)(x + 2) = 0

x = -3

x = -2

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