Sylvia earns $7 per hour at her after school job. After working one week, she received a paycheck for $91.

a. Write and solve an equation to find the number of hours Sylvia worked to earn $91.

b. The greatest number of hours Sylvia can work in any week is 15. Write an inequality to represent this statement.

c. What is the greatest amount of money Sylvia can earn in one week?

please help

Answers

Answer 1

Answer:

a.) [tex]hours=13[/tex]

b.) [tex]h\leq 15[/tex]

c.) $[tex]$105[/tex]

Step-by-step explanation:

a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let h be the unknown number of hours:

[tex]7h=91[/tex]

Solve for h. Divide both sides by 7:

[tex]\frac{7h}{7}=\frac{91}{7}\\\\h=13[/tex]

Sylvia worked 13 hours at a rate of $7 an hour.

b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let h be hours:

[tex]h\leq 15[/tex]

Sylvia can work less than or equal to 15 hours per week.

c.) If Sylvia can work 15 hours, plug in this value for h into an equation when she earns $7 per hour. Let the product of the hours and money equal t for total:

[tex]t=7(15)\\t=105[/tex]

The most money Sylvia can earn in a week is $105.

Finito.


Related Questions

Chandler needed 10 gallons of gas last week. This week, Chandler ended up needing 60% more than that amount.How much gas is that

Answers

Answer:

16 gallons total

Step-by-step explanation:

60% of 10 is 6

6 plus the original 10 is 16

Please make me the brainliest

Answer:

16

Step-by-step explanation:

Which leader was initially an adviser to Davis?
o Abraham Lincoln
© George McClellan
© Robert E. Lee

Answers

Answer:

Robert E. Lee

Step-by-step explanation:

Answer:c

Step-by-step explanation:

what is 1+234x9876-076+09x09.9876543212345678/8976543213456789.9876543

Answers

Not sure if this is a joke but it’s impossible! Sorry, but if you were to take out the second decimal point in the decimal than I think it would be 2310998.889

Answer:

the answer would be around 2310913.111...

Step-by-step explanation:

use bedmas

Solve the following equation by factoring. 9x^2 - 16 = 0

Answers

Step-by-step explanation:

9x2 - 16 = 0

Both are squares so

3x - 4 = 0

Jermaine is ordering a piece of glass in the shape of a trapezoid to create a patio table top. Each square
foot of glass costs $25. The trapezoid has base lengths of 5 feet and 3 feet and a height of 4 feet. What is
the cost of the glass?

Answers

Answer:

$400

Step-by-step explanation:

1) we need to find area of trapezoid first

area of trap formula:( (b1+b2)/2)h

b1=5

b2=3

h=4

(5+3)/2=4

4*4=16

there are 16 square feet in thtat trapezoid

hence, 25*16= $400

the glass cost $400

Answer:

$400

Step-by-step explanation:

Cuál es el área del paralelogramo?

Answers

Answer:

The area is 500 square inches

Step-by-step explanation:

A=B*H

A=20*25

Which statement is correct about the system of linear equations graphed below? On a coordinate plane, a line with negative slope goes through (0, 3) and (4, 2). A line with positive slope goes through (0, negative 4) and (4, negative 2). The system of equations has one solution because the lines will eventually intersect. The system of equations has one solution because the lines will never intersect. The system of equations does not have one solution because the lines will eventually intersect. The system of equations does not have one solution because the lines will never intersect.

Answers

Answer:

the answer is A. The system of equations has one solution because the lines will eventually intersect

Step-by-step explanation: because as the line goes on it will intercect once and if it has only one point of intercect its one solution

The system of equations has one solution because the lines will eventually intersect.

Which statement is true?

We know that for a system of equations, the solutions are the points where the graphs of the equations do intercept.

Also, remember that two lines always intercept if they have different slopes (parallel lines have the same slope and different y-intercept).

In this particular case, we know that one line has a negative slope and the other has a positive slope, so the lines are not parallel. This means that the lines will intercept, so the system has one solution.

With that in mind, the correct statement is "The system of equations has one solution because the lines will eventually intersect."

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For a bookcase, Tim wants 6 shelves
each 28 1/2 inches long. What total length
of shelving does he need?

Answers

Answer:

171 inches

Step-by-step explanation:

6x28.5

Final answer:

The total length of shelving Tim needs for his bookcase is calculated by multiplying the number of shelves (6) by the length of each shelf (28 1/2 inches), which equals to 342 inches in total.

Explanation:

When understanding the total length of shelving needed, you can use the basic principle of multiplication in mathematics. In this particular question: bookcase shelving length, Tim wants to build a bookcase with 6 shelves and each shelf is 28 1/2 inches long. You would calculate the total length by simply multiplying the number of shelves by the length of each shelf.

So, 6 shelves * 28 1/2 inches = 57 * 6 = 342 inches. Hence, the total length of shelving Tim needs for his bookcase is 342 inches.

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The ratio of girls to boys is 3 to 4. If there are 48 boys, how many girls are there?
40

Answers

the answer is 36
48 divided by 4 equals 12
so 12 times 3 equal 36

Liam works at a zoo. He was looking at some data showing the masses of their 5 African elephants. The mean mass of the elephants was 3,800 kg, and the median mass was 3,600 kg . The smallest elephant, named Lola, weighed 2,700 kg

Lola then got very sick and lost weight until her mass reached 1,800 kg

How will Lola's mass decreasing affect the mean and median?

(A) Both the mean and median will decrease.

(B)The median will decrease, and the mean will stay the same.

(C)The mean will decrease, and the median will stay the same.

(D) The mean will decrease, and the median will increase.

Answers

Answer:

Step-by-step explanation:

21

Answer:

c

Step-by-step explanation:

the mean will change because she weighs less but the median stays the same because she was the smallest elephant anyway

Judith scores an 85 on 19 of the 25 math tests she took this year. What is the experimental probability that she will score an 85 or higher on her next test? Write the probability as a percent.

Answers

Answer:

The answer is %33,33.

Step-by-step explanation:

Depending on the information given in the question, we can see that Judith received a score of 85 or higher in one of her three tests.

So we can calculate her probability of receiving 85 or higher as 100/3 = %33,33.

I hope this answer helps.

What is the slope of the line

Answers

Answer:

Step-by-step explanation:

(0,2)  (1,0)

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{0-2}{1-0}\\\\=\frac{-2}{1}\\\\=-2[/tex]

Describe the transformations from, y=x2, the original parent function
y = (x - 6)2

Answers

Going from y = x^2 to y = (x-6)^2 has the graph shifted 6 units to the right

The replacement of "x" with "x-6" shifts the xy axis 6 units to the left. All new inputs are 6 units smaller than before. If you shift the xy axis 6 units to the left and keep the parabola still, then it gives the illusion the parabola moved 6 units to the right.

Write the equation x2=7x in standard form.

Answers

Answer:

i believe it's x2-7x=0

Step-by-step explanation:

Final answer:

To write the equation x^2 = 7x in standard form, subtract 7x from both sides and rearrange the terms in descending order of exponents.

Explanation:

The equation x^2 = 7x is a quadratic equation. To write it in standard form, we need to move all the terms to one side and set the equation equal to zero.

Subtracting 7x from both sides, we get x^2 - 7x = 0.

Next, we rearrange the terms in descending order of exponents: x^2 - 7x = 0.

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A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.

Answers

This Question is not complete because it lacks the appropriate options

Complete question:

A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.

1. P(C | D) = 0.78

2. P(D | C) = 0.44

3. P(C ∩ D) = 0.11

4. P(C ∩ D) = P(D ∩ C)

5. P(C | D) = P(D | C)

Answer:

3. P(C ∩ D) = 0.11

4. P(C ∩ D) = P(D ∩ C)

Step-by-step explanation:

Clients that have Cats = P(C) = 25% = 0.25

Clients that have Dogs = P(D) = 32% = 0.32

The number of Clients that have Dogs and Cats = P(D ∩ C) = 11% = 0.11

Sets of data in mathematics are governed by laws which include Distributive law, Commutative law, Associative law, Identity law e.t.c.

The commutative law of sets states that :

A ∩ B = B ∩ A

A ∪ B = B ∪ A

Therefore, based on the commutative law of sets, Option 4 " P(C ∩ D) = P(D ∩ C) " is correct.

Since we are told in the question above that the number of Clients that have Dogs and Cats = P(D ∩ C) = 11% = 0.11 and based on the commutative law that says

P(C ∩ D) = P(D ∩ C)

Therefore, Option 3 " P(C ∩ D) = 0.11"

is correct as well.

Answer:

B, C, D on ed

Step-by-step explanation:

In Daniel’s fifth grade class, 37.5% of the 24 students walk to school. One-third of the walkers got a ride to school today from their parents. How many walkers got a ride to school from their parents today?

Answers

The percentage of walkers who got a ride is 37.5/3=12.5%
The number of that is 0.125*24=3 students.

PLEASE HELP ASAP

2(x+10)+5(4x-11)

Answers

Answer:

22x - 35

Step-by-step explanation:

Expand 2(x+10)

2x+20

Expand 5(4x-11)

20x-55

Simplify:

22x-35

Answer:

0.24

Step-by-step explanation:

1. you have to distributive property all

2(x+10)+5(4x-11)

2.You have to subtract the x

2x+10+20x+55

3. you have to subtract the natural number

20+18x-55

4. you have to divide

75/18x

then the answer is 0.24

A gaming console that is $300 plus 8% tax. What is the final cost of the console? (Round to the nearest cent)​

Answers

Answer: $324.00

Step-by-step explanation:

Convert 8% to decimals. You can do this by dividing by 100

[tex]\frac{8}{100}=0.08[/tex]

Calculate 8% of 300 (0.08*300) and add 300 (+300)

[tex]0.08(300)+300\\24+300\\324[/tex]

What are the next 3 terms in this sequence of terms? 3, 7, 11, 15

Answers

Answer:

it will be 19, 23, 27

Step-by-step explanation:

all you have to do is check the pattern the sequence uses to progress. in this sequence it increases by adding 4 to a previous number.

so;

3 + 4= 7

7 + 4= 11

11 + 4= 15... and so on

i hope this helps

Cylinder A has a base of 3 and height of 3 cylinder be has the base of 2 and the height of 4. What is the ratio of the volume of cylinder A to the volume of cylinder B?

Answers

Answer:

1.6875

Step-by-step explanation:

For cylinder A, the base = diameter = 3, the height of the base is 3.

The radius of cylinder A (r) = diameter / 2 = 3/2 = 1.5

The volume of a cylinder is given by the equation:

Volume (v) = πr²h

Therefore volume of cylinder A = πr²h = π × 1.5² × 3 = 6.75π

For cylinder B, the base = diameter = 2, the height of the base is 4.

The radius of cylinder B (r) = diameter / 2 = 2/2 = 1

The volume of a cylinder is given by the equation:

Volume (v) = πr²h

Therefore volume of cylinder A = πr²h = π × 1² × 4 = 4π

The ratio of the volume of cylinder A to the volume of cylinder B = volume of cylinder A / volume of cylinder B = 6.75π / 4π = 1.6875

This is a little big easy

Answers

Answer:

B.) b+79

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

?/20 = 4/5
How do I make this equivalent

Answers

You have

[tex]\dfrac{x}{20}=\dfrac{4}{5}[/tex]

Multiply both sides by 20:

[tex]20\cdot\dfrac{x}{20}=\dfrac{4}{5}\cdot 20[/tex]

The equation becomes

[tex]x=16[/tex]

Hi

X/20 = 4/5 ⇒  X =   20*4 /5  =   5*4*4 /5 = 16/1 =16

16/20 = 4/5

A high school track is shaped as a rectangle with a half circle on either side. A rectangle has a length of 96 meters and width of 35 meters. 2 semicircles with diameters of 35 meters are on each end of the rectangle. Jake plans on running four laps. How many meters will Jake run? Use 3.14 for Pi. 301.9 m 823.6 m 1,207.6 m 1,647.2 m

Answers

Answer:

C

Step-by-step explanation:

Answer:

your anwser is C

Step-by-step explanation:

btw i cant spell lol

Nevaeh has a $25.00 gift card from the local coffee shop. The table below shows the balance, b on her gift card after n lattes. What is the meaning of the x-intercept



A) Nevaeh’s card is depleted after 10 lattes

B) Nevaeh has $25 on her gift card.

C) Each latte is $2.50

D) Nevaeh has no money left on her card after 25 lattes

Answers

Answer:

your answer is c give me brainliest please

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

After 2 lattes the balance is $20 so each latte cost $2.50

MATH HELP 10 PTS

A rectangular gardens length is 6 feet longer than it’s width. if the perimeter can be represented by P(x)= 4x + 12.

What is the width and length of the garden if the perimeter is 32 ft?

Answers

Answer:

The width is 5 and the length is 11

Step-by-step explanation:

The formula for perimeter is

P = 2(l+w)

We know the perimeter is 32

32 = 2 (l+w)

Divide each side by 2

32/2 = 2(l+w)

16 = l+w

We know the length is 6 longer than the width

l = w+6

16 = w+6+w

Combine like terms

16 = 2w+6

Subtract 6 from each side

16-6 = 2w+6-6

10 = 2w

Divide by 2

10/2 = 2w/2

5 =w

The length  is

l = w+6

   5+6 = 11

describe how to translate the graph of y = x + 2 to the graph of the given function.

y = x + 7

pls help and show work!!!!

Answers

Answer:

Step-by-step explanation:

y = x + 2 and y = x + 7 are parallel straight lines which have the same slope, 1.  The graph of y  = x + 2 becomes the graph of y = x + 7 if we translate it (graph of y = x + 2) up 5 units.

Over 44% of the 30 students in a class read a
book last month. What are the possible numbers of students in the class
who read a book last month? Justify your answer.

Answers

Answer:

I got 13.2 but you could probably round it to 13.

Step-by-step explanation:

44 percent *30 =

(44:100)*30 =

(44*30):100 =

1320:100 = 13.2

The possible number of students in the class who read a book last month is 13 students

Let the total number of students that read the book last month be x

If over 44% of the 30 students in a class read a book last month, hence;

44% of 30 = x

0.44 * 30 = x

Simplifying the expression

x = 13.2

Hence the possible number of students in the class who read a book last month is 13 students

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f the height of the parallelogram shown is decreased by 1 inch and the base is decreased by 2 inches, what is the area of the new parallelogram?

Parallelogram a
78 in2


b
84 in2


c
104 in2


d
108 in2




Answers

Answer:

C.

Step-by-step explanation:

Knowing that, on a dice, the sum of the numbers of points marked on opposite sides is 7. What are the missing points?

Answers

Answer:

How many of those ways have opposite face sums equal? ... Are there other ways we can number the dice as well? ... As you probably know, there are exactly five Platonic solids: the tetrahedron, cube, octahedron, ... On a normal 6-sided die, opposite faces add up to 6 + 1 = 7: 1 and 6, 2 and 5, 3 and 4

Step-by-step explanation:

trust me its right and can you be nice enough to mark me as brainliest

The points on opposite sides of a dice whose sum is 7 are: 1 and 6,  2 and 5  &  3 and 4

Explanation:

The missing points on a dice where opposite sides add up to 7 are:

1 and 6

2 and 5

3 and 4.

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

Answers

Answer:

What drawing???

Step-by-step explanation:

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