Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream store for $8 per hour. Leah cannot work for more than 20 hours total per month for both jobs. Let x represent the number of hours Leah babysits and y represent the number of hours Leah works at the ice cream store. Which of the following graphs and system of inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours?

Answers

Answer 1

Answer:

its D

Step-by-step explanation:

Answer 2

5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let x=babysitting hours paid at $5

y=ice cream shop hours paid at $8.

Total earned >120

total hours<20

So here is what our equations will look like:

5x+8y>120

x+y<20

Convert the first equation into y>mx+b format

8y>-5x+120

y>-5/8x+15

Convert the second equation into y>mx+b

x+y<20

y<-x+20

We can also solve this mathmatically by finding the point where our equations are equal:

-5/8x+15=-x+20

Add x to both sides to get:

3/8x+15=20

subtract 15 from both sides:

3/8x=5

divide both sides by 3/8:

x=13.33

The question asks us to round to the nearest whole hour, so the minimum she can babysit is 14 hours to still make $120 a week.

Hence, 5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours

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Related Questions

Kelly read 13 chapters of a 25 chapter book. What percent of the book is completed?

Answers

52% of the book has been read.



In order to determine this you take 13 and divide it by 25.



13/25=0.52


Ps: the slash is represents a divison sign.


is this a function or not a function explain why or why not

Answers

it is a function bc every x term is only used once (once an x term is used more than once, it isnt a function)

Tyler gathered data from 12 recent basketball games about the number of points he scored, the number of points his teammate Nolan scored, and the total number of points his team scored. He displayed the data in two scatter plots.

Does either scatter plot indicate a positive correlation between the variables?

Answers

Answer:

Only plot B

Step-by-step explanation:

Answer:

Only Plot B

Step-by-step explanation:

The points in plot A are randomly scattered, and there is no recognizable pattern. So, this plot indicates no correlation between the points Tyler scored and the points Nolan scored.

In plot B, the total points Tyler’s team scored appear to increase as the points Tyler scored increase. This pattern indicates a positive correlation between the two variables.

So, only plot B indicates a positive correlation.

A rubber tree is 95 inches tall and growing at a rate of 4 inches per year. A cactus is 40 inches tall and growing at arate of 5 inches per year. After how many years will the rubber tree be shorter than the cactus tree

Answers

The rubber tree starts off at 95 in and increases 4in per year. We can write this as 95 + 4y (y representing the number of years) the cactus tree starts off at 40 in and increases 5 in per year so we can write is as 40 + 5y. We want to find out y when the cactus is taller so
95+4y < 40+5y And we solve for y
Subtract 40 from both sides
55+4y < 5y
Subtract 4y from both sides
55 < y
Y is any number over 55 but we need the year when the cactus will be taller
So in 56 years the cactus will be taller.

A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows: Money-market 25% High-risk stock 10% Moderate-risk stock 15% Short bond 12% Intermediate bond 7% Long bond 8% Balanced 23% A customer who owns shares in just one fund is randomly selected. a) What is the probability that the selected individual owns shares in the balanced fund? For your answer, please report the answer in decimals. For example, 50% would be submitted as .5.

Answers

Part b and c are missing and they are;

b. What is the probability that the individual owns shares in a bond fund? c. What is the probability that the selected individual does not own shares in a stock fund?

Answer:

A) P(balanced fund) = 0.23

B) P(bond fund) = 0.27

C) P(no stock fund) = 0.75

Step-by-step explanation:

We are given the percentages of customers in the different funds as follows:

Money-market: 25%

High-risk stock: 10%

Moderate-risk stock: 15%

Short bond: 12%

Intermediate bond: 7%

Long bond: 8%

Balanced: 23%

A) From the percentages given, we can see that the balanced fund is 23%.

Thus,this represents the probability as addition of all the given percentages gives 100%

Thus, probability that the selected individual owns shares in the balanced fund is;

P(balanced fund) = 23% = 0.23

B) From the percentages given, bond funds given are;

Short bond: 12%

Intermediate bond: 7%

Long bond: 8%

Thus,

probability that the individual owns shares in a bond fund is;

P(bond fund) = 12% + 7% + 8%

P(bond fund) = 27% = 0.27

C) Probability that the selected individual doesn't own shares in a stock fund is;

P(no stock fund) = 1 - P(stuck fund)

P(stuck fund) = High-risk stock +

Moderate-risk stock = 10% + 15% = 25% = 0.25

Thus;

P(no stock fund) = 1 - 0.25 = 0.75

Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction Two-fifths times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 15 Over 4 EndFraction Five-halves times StartFraction 15 Over 4 EndFraction

Answers

Given:

[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]

To find:

The correct multiplication that can be used to check this division problem.

Solution:

We have,

[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]

[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}=\dfrac{3}{2}[/tex]

Multiply both sides by [tex]\dfrac{4}{15}[/tex].

[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}\times \dfrac{4}{15}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]

[tex]\dfrac{2}{5}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]

So, the required multiplication is [tex]\dfrac{3}{2}\times \dfrac{4}{15}[/tex].

Therefore, the correct option is B.

Answer:

Which multiplication expression can be used to check this division problem:  StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction

Two-fifths times StartFraction 4 Over 15 EndFraction

Three-halves times StartFraction 4 Over 15 EndFraction

Three-halves times StartFraction 15 Over 4 EndFraction

Five-halves times StartFraction 15 Over 4 EndFraction

Step-by-step explanation:

( B) AKA 3/2 x 4/15 . This is correct  because I just took the test

P(An B)
P(AB) =
P(B)
Freshmen
Sophomores
Juniors
Seniors
1
4
2.
Boys
3
9
7
6
5
Girls
P(Boy|Senior) =
ON
?

Answers

The probability of P(Boy/Senior) is 2/37.

Given that, the total number of students=37 and the number of senior boys=2.

P(A|B)=P(A ∩ B)/P(B).

We need to find P(Boy/Senior).

What is P(A∩B)?

P(A ∩ B) indicates the probability of A and B, or, the probability of A intersection B means the likelihood of two events simultaneously, i.e. the probability of happening two events at the same time.

Now, P(Boy/Senior)=2/37.

Therefore, the probability of P(Boy/Senior) is 2/37.

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Answer:

2/7

Step-by-step explanation:

2 seniors / 7 seniors in total

6. Write the
equation
(0,5) and (5,1)

Answers

Answer:

There is no equation that you can write for that because the slope is undefined becasue 0 is in the denominator

Step-by-step explanation:

9514 1404 393

Answer:

  4x +5y = 25

Step-by-step explanation:

One way to write the equation is ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)

  (1 -5)x -(5 -0)y = (1 -5)0 -(5 -0)5

  -4x -5y = -25 . . . . . has a leading minus sign, so we want to multiply by -1

  4x +5y = 25 . . . . standard form equation of the line

__

Another way to write the equation is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (1 -5)/(5 -0)(x -0) +5

  y = -4/5x +5 . . . . slope-intercept form of the equation of the line

- 9j + -11 = 61
What is this?

Answers

Answer:

j= - 8

Step-by-step explanation:

- 9j + -11 = 61

        -9j = 61 + 11

        -9j = 72

            j = - 8

X-4y=15 and 8x-5y=42

Answers

Answer:

y=-2 8/9

x=31 1/2

Step-by-step explanation:

x-4y=15 --> x=4y+15

8x-5y=42

8(4y+15)-5y = 42

32y +120 - 5y = 42

27y = -78

y=-2 8/9

x=31 1/2

Multiplying and Dividing by Powers of 10 When multiplying a number by 10, move the decimal to the right. When multiplying a number by 0.1, move the decimal to the left. Why?

Answers

Answer:

Because we actually divide by 10 when a number is multiplied by 0.1.

Step-by-step explanation:

Let [tex]a[/tex] be a number.

When we multiply a number by 10:

[tex]a \times 10 = 10 a[/tex] (One '0' is increased in the number)

For example:

[tex]23 \times 10 = 230[/tex]

Considering a decimal number:

[tex]2.3 \times 10 = 23[/tex]

Multiplying a number with 0.1 (which is actually [tex]\frac{1}{10}[/tex]) means dividing the number by 10.

[tex]23\times 0.1 =23\times \frac{1}{10}=2.3[/tex]

Considering a decimal number:

[tex]2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23[/tex]

Therefore, When multiplying a number by 0.1, move the decimal to the left.

Answer:

Sample Response: You move the decimal to the right when multiplying a number by 10 because you are making the number bigger. You move the decimal to the left when multiplying a number by 0.1 because you are making the number smaller.

Step-by-step explanation:

hope this helps

Is it possible for two numbers to have a difference of 5, and a sum of 12?

Answers

Answer:

yes, 8.5 and 3.5

Step-by-step explanation:

8.5 + 3.5 = 12

8.5 - 3.5 = 5

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The two numbers are 8.5 and 3.5.

Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

3x = 4 + 3 is an equation.

We have,

Let the two numbers be M and N.

Now,

Two numbers have a difference of 5.

This can be written as,

M - N = 5 _____(1)

Two numbers sum is 12.

This can be written as,

M + N = 12 _____(2)

From (1) and (2) we get,

M - N = 5

M = 5 + N _____(3)

Putting (3) in (2)

M + N = 12

5 + N + N = 12

5 + 2N = 12

2N = 12 - 5

2N = 7

N = 7/2

N = 3.5

Putting in (3) we get,

M = 5 + 3.5

M = 8.5

We can cross-check.

M - N = 5

8.5 - 3.5 = 5 (PROVED)

M + N = 12

8.5 + 3.5 = 12 (PROVED)

Thus,

The two numbers are 8.5 and 3.5.

Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.

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Choose the linear equation written in slope-intercept
form that matches each graph.

Answers

Answer:

D

Step-by-step explanation:

y-intercept or "b":

the line touches the y-axis at -4

slope:

the line rises 1, runs 1 every time

equation:

the y-intercept of -4 combined with the slope of 1/1 is the equivalent of

y=1x/1-4 OR in a more simplified format: D, y = x - 4

Mars is about 35,000,000 miles away from earth. If the moon is 250,000 miles away from earth, about how many times further is Mars?

Answers

Answer:

mars is 140 times farther than the moon

Step-by-step explanation:

hope this helped :-)

If the pattern continues, how many tiles would be in the 62nd stage?

A. 127
B. 129
C. 131
D. 307​

Answers

A is the answer I got hope this helps !!

Hellppppppppppppppppp

Answers

Answer: im pretty sure its option 2

Step-by-step explanation:

Simplify the expression 32a769. Assume a = 0 and b +0.
Enter the correct answer in the box.

Answers

Answer:

2a^2b^3 ^3squareroot4a

Step-by-step explanation:

Which steps can be used in order to determine the solution to -1.3+4.6x=0.3+4x?

Answers

Answer:

x = 2.67

Move variables to the right and constants to the left, Then divide and you get the answer.

Step-by-step explanation:

-1.3+4.6x=0.3+4x (given)

-1.3x + 0.6x =0.3 (subtraction property of equality)

0.6x = 1.6 (addition property of equality)

x = 2.66666666667 (division property of equality)

2.66666666667 = 2.67 (rounding to the nearest tenth)

-1.3+4.6x=0.3+4x
-0.3. -0.3
-1.6+4.6x=4x
-4.6x. -4.6x
-1.6=-0.6x
___. ___
0.6. 0.6

-2.66666667=x

Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6−x) 3x + 6 I don't know.

Answers

The expression that represents the word phrase of the product of 3 and 6 more than a number is 3(6 + x).

Let the given number be x.

Therefore, the expression that represents the word phrase the product of 3 and 6 more than a number will be:

= 3(6 + x)

In conclusion, the correct option will be 3(6 + x).

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A 3 pack of light bulbs cost $3.45 a 4 pack of the same libels cost $4.20 which pack is the better value

Answers

i think that the second one is correct

Find the third, fifth, and seventeenth terms of the sequence described by
the explicit formula: f(n)=-9.2-2.5(n-1)

Answers

Given:

The explicit formula of a sequence is

[tex]f(n)=-9.2-2.5(n-1)[/tex]

To find:

The third, fifth, and seventeenth terms of the sequence.

Solution:

We have,

[tex]f(n)=-9.2-2.5(n-1)[/tex]

For n=3,

[tex]f(3)=-9.2-2.5(3-1)[/tex]

[tex]f(3)=-9.2-2.5(2)[/tex]

[tex]f(3)=-9.2-5[/tex]

[tex]f(3)=-14.2[/tex]

For n=5,

[tex]f(5)=-9.2-2.5(5-1)[/tex]

[tex]f(5)=-9.2-2.5(4)[/tex]

[tex]f(5)=-9.2-10[/tex]

[tex]f(5)=-19.2[/tex]

For n=7,

[tex]f(7)=-9.2-2.5(7-1)[/tex]

[tex]f(7)=-9.2-2.5(6)[/tex]

[tex]f(7)=-9.2-15[/tex]

[tex]f(7)=-24.2[/tex]

Therefore, the third, fifth, and seventeenth terms of the sequence are -14.2, -19.2 and -24.2 respectively.

32 lbs of apples cost $160. How much would 25 lbs cost? *

Answers

Answer:

$125

Step-by-step explanation:

If you divide 160 by 32 you will get 5 then you will multipy 5 by 25 to get $125

Answer

125$

Step-by-step explanation:

5x32=160

5x25=125

Each pound of apples is equivalent to 5$

Use the original price and the markup to find the retail price.
Original price: $42; Markup: 7.5%

Answers

Answer:

$45.15

Step-by-step explanation:

$42*107.5%

=$45.15

PLS GIVE BRAINLIEST

Answer:

45.15

Step-by-step explanation:

Take 100% (Original Price) and add the 7.5, Aka 107.5.

Multiply the price (42) and the percent that you just got, 107.5%.

Use the percent sign!!!

The answer then should be 45.15

Jill aunt got her a $50 gift card to her favorite boutique she has already picked out 4 shirts that cost $8.00 each how many pairs of shorts can she buy if shorts cost $10 a pair?

Answers

Answer:

1

Step-by-step explanation:

If she has four $8 shirts, that costs $32, leaving her with $18 dollars, only enough for 1 pair of $10 shorts

What is the first step in simplifying the following expression?

(((4+7) -2)^2 *4 -1 ÷2)

Your answer:

1÷2


2^2


2*4


(4+7)

(helppp!)

Answers

According to BODMAS rule...

We would first solve...

Bracket i.e.(4+7)

Vanessa bought a 30 pound bag of rice she cooked 7.5 pounds of the rice she stores the rest of the rice in 4.5 pound portions what is the maximum number of portions she stored

Answers

Given :

Vanessa bought a 30 pound bag of rice she cooked 7.5 pounds of the rice she stores the rest of the rice in 4.5 pound portions.

To Find :

The maximum number of portions she stored.

Solution :

Let, number of portions she stored is n.

Amount of rice left, A = 30 - 7.5 = 22.5 pounds.

Now, number of portions of 4.5 pounds she stored :

[tex]n = \dfrac{22.5}{4.5}\\\\n = 5[/tex]

Therefore, maximum number of portions she stored is 5.

Hence, this is the required solution.

Are u confused, depressed, and need help with homework?



















Too bad, so am i






















it's ok.​

Answers

Answer:

true, i feel ya.

there are about 100 times more gold atoms in the average human body then uranium atoms about how many uranium atoms are there in the average human body and theres 2 x 10^19 gold atoms in the human body

Answers

Answer:

I'm confused

Step-by-step explanation:

what is the question???

Misha’s hamster weighed 0.845 kilograms. About how much does it weigh, rounded to the nearest hundredth?
0.85 kilograms
0.8 kilograms
1 kilograms
0.84 kilograms

Answers

Answer: 0.85 kilograms

Step-by-step explanation:

The answer is 0.84 kilograms

Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.

5.00 0.55 0.005 5.005 5.5

0.55, 0.005, 5.00, 5.5, 5.005

0.005, 0.55, 5.00, 5.005, 5.5

0.005, 5.00, 0.55, 5.005, 5.5

Answers

Answer:

ima guess 3

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

0.005, 0.55, 5.00, 5.005, 5.5

brainlyest?

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