When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120. Find the hourly rate of pay for Ben and Judy.

Answers

Answer 1

Answer:

They each earn 15 an hour

Step-by-step explanation:

Answer 2

Answer:

They both make $15

Step-by-step explanation:

In the first scenario Judy worked for 4 hours, (4)*(15)=60 plus Ben, (1)*(15)=15 which equals 75. In the second scenario, Judy works 2 hours so (2)*(15)=30 and Ben works 6, (6)*(15)= 90 which is 120.


Related Questions

Students plan to pay back half the debt now though fundraising, and the rest after the harvest. Write an equation to represent the debt they will repay through fundraising. Use a negative integer to show debt. Use "D" to represent the debt that will be repaid by through fundraising.

Answers

Answer:

D =  [tex]\frac{-d}{-2}[/tex]

Step-by-step explanation:

The students in this question are trying to pay back only half of the current debt (d) with the fundraiser (D). Since debt is money that is owed it would therefore be represented as a negative but in this case the fundraiser needs to be positive since it is money gained. So since we have a negative we would need to divide by -2  in order for the total to be positive.

D =  [tex]\frac{-d}{-2}[/tex]

Finally, we are left with this equation which shows the debt that will be repaid through the fundraiser

In ARST, mZR = (11x + 3)º, mZS = (x + 15), and mZT = (2x + 8).
Find mZR

Answers

Answer:

124°

Step-by-step explanation:

(11x + 3)° + (x + 15)° + (2x + 8)° = 180°

14x + 26 = 180

14x = 154

x = 11

m∠R = [11(11) + 3]° = 124°

Times are tough for Peter the Penguin and his "Hug a Penguin" business has been on the decline. Last year Peter the Penguin made $570 dollars from selling hugs. If he experienced a 20% decrease in sales how much did he make this year?

Answers

Answer:

the new sales after decrease in sales percentage this year is $456 dollars

Step-by-step explanation:

The computation of the sales made this year is  shown below:

Given that

last year sales would be $570 dollars

And in this year there is 20% decrease in sales

so, the new sales after 20% decrease would be

= Last year sales × (1 - decreased percentage)

= $570 × (1 - 0.20)

= $570 × 0.80

= $456 dollars

hence, the new sales after decrease in sales percentage this year is $456 dollars

Marcus and Jeremy both evaluated the expression −5^2 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student's work.

Answers

Answer:

Jeremy is correct

Step-by-step explanation:

Marcus and Jeremy both evaluated the expression −5^2 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student's work.

Marcus is wrong

This is because, Marcus calculated:

-5^2 + 3

= -25 + 3

= -22

This is wrong because it did not follow the rules which states that:

- × - = +

Jeremy calculation is shown below:

-5^2 + 3

-5 × -5 + 3

= 25 + 3

= 28

Jeremy is correct

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.

What is the value of the function at x=-2

Y=-4
Y=0
Y=2
Y=3

Answers

Y=3 I took test and it’s right

Part A - Identify the outlier 3,52,54,64,69,71,77,79,82,88 Part B - Calculate the mean and median with the outlier. Part C - Calculate the mean and median without the outlier. Part D - How did the outlier affect the mean and median? Does the outlier have a greater effect on the mean or the median? Justify your answer with your calculations.

Answers

The outlier is 3, and the outlier has a greater effect on the mean because it is an average of all numbers where as the median is just the middle value in the data set. Everything else you can do on your own. To find the mean you add all the numbers up and divide by the total amount of numbers there are, the median you just cross one out from the left and then cross one out from the right and continue doing this until you are left with one number, or if you are left with two numbers you can add those two numbers up and then divide them by 2

Brian bought a jacket that cost d dollars. He paid the clerk $60,00 He received $7.39
in change. How much did Brian pay for the jacket?

Answers

Answer:

52.61 is what Brian payed for the Jacket.

Step-by-step explanation:

52.61 + 7.39 = 60$ in total.

Answer:

ok so a jacket would never cost 60,00 i think you meant 60.00 so it would be $52.61 for the jacket

Step-by-step explanation:

Subtract 7.39 from 60

if you really did mean 60000 the answer would be 5992.61

Cj has $50 more than Jordan has. Together they have $100. How much does Jordan have?

Answers

Answer:

25

Step-by-step explanation:

take C as what Cj has, and J what Jordan has.

Cj has $50 more than Jordan has, so:

C = 50 + J

Together they have $100, so:

C + J = 100

is a system of 2 equations with 2 unknown (C and J):

C - J = 50

C + J = 100

Adding both equations:

2C = 150 ⇒ C = 75

From second equation: J = 25

An item is regularly priced at $60. It is on sale for 40% off the regular price. What is the sale price? ​

Answers

Answer: The sale price is $36.

Step-by-step explanation:

40% ÷ 100 = 0.4

0.4 × $60 = $24

$60 - $24 = $36

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

If there is an off of 40% on an item that cost $60.

The regular price of the item is $48.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

105 = 10/100 = 1/10

Example:

50% of 40 is 20.

50/100 x 40 = 20

25% of 100 is 25.

25/100 x 100 = 25.

We have,

Regular price = $60

Off = 40%

Sale price:

= 60 - (40% of 60)

= 60 - (40/100 x 60)

= 60 - (2/5 x 60)

= 60 - (2 x 12)

= 60 - 24

= $48

Thus.

If there is an off of 40% on an item that cost $60.

The regular price of the item is $48.

Learn more about percentages here:

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A real estate agency sells a house for ​$315000. The real estate agent earns a commission of 5 3/4​%. The real estate agency keeps ​10 1/8% of the sale. Taxes take ​4 1/8%, and the rest goes to the seller. How much does the seller get from the sale of the​ house?

Answers

Answer:

$252000

Step-by-step explanation:

Amount of real estate without commission = $315000

Total percentage commission on sale = 5 3/4 + 10 1/8 + 4 1/8

5 3/4 + 10 1/8 + 4 1/8 = 23/4 + 81/8 + 33/8

23/4 + 81/8 + 33/8 = 46+81+33/8

23/4 + 81/8 + 33/8 = 160/8

23/4 + 81/8 + 33/8 = 20%

Hence the total percent commission is 20%

Commission amount = 20% of $315000

Commission amount = 20/100 * 315000

Commission amount = 0.2*315000

Commission amount = $63000

The amount the seller get = $315000 = $63000

The amount the seller get= $252000

I will give brainliest to person who answers correctly!
(5*10)-3 with the power of 2 equals what?

Answers

Answer:

41 is the answer .......

The football team has a total of 20 jerseys. There are 8 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:

40%

Step-by-step explanation:

:)

uhh yeahh don't know lol ...

Answers

Answer:

for first blank its 1/3 and second blank is 5

Step-by-step explanation:

Answer:

y=-1/3x+5

Step-by-step explanation:

BRAINLIEST PLS

A bus is traveling at a constant speed. If the bus travels 15 1 2 15 1 2 miles in 1 3 1 3 of an hour, how many miles will the bus travel in one hour?

Answers

Answer:

46 1/2 miles

Step-by-step explanation:

Given that:

Bus traveled at a constant speed ;

Miles traveled = 15 1/2 miles

Time taken for the travel = 1/3 of an hour

Number of miles bus will travel in 1 hours :

Let number of miles traveled in 1 hour = n

15 1/2 miles = 1/3 hour

n miles = 1 hour

Cross multiply :

1/3 * n = 15 1/2 * 1

1/3n = 31/2

Divide both sides by 1/3

n = 31/2 ÷ 1/3

n = 31/2 * 3/ 1

n = 93/2

n = 46.5 miles = 46 1/2 miles

According to the Woodlawn Park Zoo in Seattle, Washington, the average height
in inches (h) of a baby giraffe during its first week can be described by the
equation h = 72 + 1.2d, where d is the number of days since it was born.
Which statement explains the meaning of the 1.2 in the equation?

Answers

Answer:

the giraffe grows 1.2 inches a day

Step-by-step explanation:

3x^2 + 2x^2=


6x^3 - 2x^3=


first answer gets brainiest :)

Answers

Answer:

1) [tex]13x^{2}[/tex]

2) [tex]208x^{6}[/tex]

Step-by-step explanation:

(3*3(x)^2) + (2*2(x)^2) = 9x^2 + 4x^2 = 13x^2

(6*6*6(x)^3) - (2*2*2(x)^3) = 216x^3 - 8x^3 = 208x^3

What is the equation for the parabola that
has a focus at (-7, 6) and a directrix of x
1?

Answers

Answer:

Step-by-step explanation:

Parabola's equation is

y

=

1

16

(

x

7

)

2

+

1

and vertex is

(

7

,

1

)

.

Explanation:

Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.

Let the point be

(

x

,

y

)

. Here focus is

(

7

,

5

)

and distance from focus is

(

x

7

)

2

+

(

y

5

)

2

. Its distance from directrix

y

=

3

i.e.

y

+

3

=

0

is

|

y

+

3

|

.

Hence equaion of parabola is

(

x

7

)

2

+

(

y

5

)

2

)

=

|

y

+

3

|

2

or

x

2

14

x

+

49

+

y

2

10

y

+

25

=

y

2

+

6

y

+

9

or

x

2

14

x

+

65

=

16

y

i.e.

y

=

1

16

(

x

2

14

x

+

49

49

)

+

65

16

or

y

=

1

16

(

x

7

)

2

+

65

49

16

or

y

=

1

16

(

x

7

)

2

+

1

Hence parabola's equation is

y

=

1

16

(

x

7

)

2

+

1

and vertex is

(

7

,

1

)

.

graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}

Camilla bought a book that was on sale for 25% off the retail price. The retail price of the book was $12. What was the price Camilla paid for the book?

Answers

Answer:

The price that Camilla paid for the book was $9.

Step-by-step explanation:

To be able to find the pice that Camilla paid for the book, first, you have to calculate the 25% of the price of the book:

$12*25%=$3

Now, you have to subtract that amount from the price of the book:

$12-$3=$9

According to this, the answer is that the price that Camilla paid for the book was $9.

help me with question 3 for brainliest

Answers

Answer:

1. y>2x+1

2. The dots and the marked zone over the line indicates that it is a ">"

5 AB is the diameter of a circle whose center is the point (4,-3). If the coordinates of A are (-1,5), Find AB>

Answers

Given:

AB is the diameter of a circle whose center is the point (4,-3).

Coordinates of A are (-1,5).

To find:

The measure of AB.

Solution:

Let point O(4,-3) be the center of the circle.

Then, OA is the radius of the circle.

We know that, diameter of a circle is twice of its radius.

So, [tex]AB=2(OA)[/tex]       ...(i)

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between O and A is

[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]

[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]

[tex]OA=\sqrt{25+(8)^2}[/tex]

[tex]OA=\sqrt{25+64}[/tex]

[tex]OA=\sqrt{89}[/tex]

Now, using (i), we get

[tex]AB=2(OA)[/tex]

[tex]AB=2(\sqrt{89})[/tex]

[tex]AB=2\sqrt{89}[/tex]

Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.

can someone please help me with this :( asap

Answers

b

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I will give Brainlyest to the first person



A family gathered 12 seashells from the beach bringing the total number of seashells in their collection to 86
Which equation can be used to find, x, the number of seashells in the collection before the 12 were added?

Answers

Answer:

The first selection is the answer.

Step-by-step explanation:

x+12=86

The equation that can be used to find x is x + 12 = 86

A linear equation is of the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the number of seashells in the collection before the 12 were added.  Hence to find x, we use the equation:

x + 12 = 86

The equation that can be used to find x is x + 12 = 86

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UN PASTEL SE CORTA QUITANDO CADA VEZ LA TERCERA PARTE DEL PASTEL QUE HAY EN EL MOMENTO DE CORTAR ¿QUE FRACCION DEL PASTEL ORIGINAL QUEDO DESPUES DE CORTAR TRES VECES?

Answers

Answer:

No queda nada del pastel.

Step-by-step explanation:

El pastel representaria un entero, si al entero lo dividimos en tercios, son tres tercios los que los conforman, por ende si lo cortamos tres veces, en el primer corte quedarian dos tercios de pastel, en el segundo corte un tercio, y en el tercer corte el ultimo tercio , generando asi que no quede nada de este.

Los enteros se dividen en cuartos, tercios y hasta octavos, o muchas mas fracciones.

Un entero es equivalente a 4 porciones de 1/4 y a 3 porciones de 1/3

please help me out....​

Answers

Answer:

It is the first one, so

7u + 5v

Answer:

7u+5v (A)

Step-by-step explanation:

3u+4u=7u

7v-2v=5v

7u+5v

PLS GIVE BRAINLIEST

Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?

WILL RECIEVE ANYTHING YOU WOULD LIKE

Answers

Answer:

107.6

Step-by-step explanation:

5.38 is how much is made in half an hour so I multiplied that by 2 to get the complete hour then multiplied that by 8

Answer: I am pretty sure it’s 87.08

Step-by-step explanation:

Write an equation of the line that passes through a pair of points:
(-3,1). (-2,-5)

Answers

Answer:

[tex]y=-6x-17[/tex] (B)

Step-by-step explanation:

[tex]y=mx+b\\m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{1--5}{-3--2} = \frac{6}{-1} = -6\\y=-6x+b\\[/tex]

Plug in one of the two points for X and Y

(-3,1)

[tex]1=-6(-3)+b\\1=18+b\\b=-17\\\\y=-6x-17[/tex]

Part 1: Given triangle ABC and AC = BC, find a and the side lengths of the triangle. C 6a - 8 4a-2 MathBits.com A B Side BC = Side AC = Part 2: Based off your knowledge of side lengths and triangles, what can you for sure classify the above triangle as Triangle ABC:​

Answers

Answer: a = 2; AC = BC = 10

Step-by-step explanation:

AC = BC => 6a - 8 = 4a - 2

<=> 2a = 6

<=> a = 3

=> AC = 6.3 - 8 = 10

AC = BC => BC = 10

A survey of Mr. Thorne’s class shows that 5 out of 8 students will buy lunch today. Based on this result, how many of the 720 students in the school will buy today?

Answers

450


5:8.
X:720

8x90=720 so multiply 5x90

450

Number of student lunch today is 450 students

Given:

Fraction of student lunch today = 5/8

Total number student = 720 students

Find:

Number of student lunch today

Computation:

Number of student lunch today = Fraction of student lunch today × Total number student

Number of student lunch today = (5/8) × (720)

Number of student lunch today = (5) × (90)

Number of student lunch today = 450 students

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Sally spent a long time searching for the perfect tree. She could look in 6 stores in 45 minutes. If she shopped for 2 hours, how many stores did she visit?

Answers

Answer:

24

Step-by-step explanation:

Sally visited 16 stores when shopping for 2 hours.

Since Sally could look in 6 stores in 45 minutes. Hence:

Time spent in each store = 45 minutes/6 stores = 7.5 minutes per store.

Given a time of 2 hours = 2 hours * 60 minutes per hour = 120 minutes

Number of stores visited in 2 hours = 120 minute / 7.5 minute per store = 16 stores

Therefore Sally visited 16 stores in 2 hours.

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