Jordan get a $10 allowance and works a job that pays $7.00 per hour. Alex gets a $20 allowance and works a job that pays $6.50 per hour. If they both work the same number of hours each week, how many hours would they need to work to have the same amount of money for the week?

Answers

Answer 1

Answer:

20 hours

Step-by-step explanation:

Let x = number of hours

Jordan

Allowance = $10

Pay per hour = $7

Total = 10 + 7x

Alex

Allowance = $20

Pay per hour = $6.50

Total = 20 + 6.50x

Equate total of Jordan and Alex earnings

10 + 7x = 20 + 6.50x

Collect like terms

10 - 20 = 6.50x - 7x

-10 = - 0.5x

Divide both sides by - 0.5

x = -10 / -0.5

= 20

x = 20 hours

Jordan and Alex will both work for 20 hours to have the same amount of money in a week


Related Questions

A ring is now reduced to £840.

This is a saving of 40% of the original price.

Work out the original price of the ring.

Answers

Answer:  £1400

==============================================

Work Shown:

If you save 40%, then you pay 100% - 40% = 60% of the original price

final price = 60% of original price

final price = 0.60*(original price)

840 = 0.60x

0.60x = 840

x = 840/0.60

x = 1400

The ring was originally £1400 before the discount.

wich of the following is a factor of x^4-8x^2+16

Answers

Answer:

(x-2)^2 x (x+2)^2

Step-by-step explanation:

A line passes through the point (8,-7) and has a slope of -1/3 write an equation in slope intercept form for this line

Answers

Answer:

y= -1/3x-13/3

Step-by-step explanation:

(Refer to picture)

Use the general point-slope formula and plug in y1 and x1, then simplify

(I hope my handwriting isn't too bad, is so, I'll clarify any numbers you can't read.)

A runner sprinted for 117 yards (yd). How many feet (ft) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. ft mi yd 1760 yd 1 mi 3 ft 1 ft 12 in 1 yd Ratios: 1 mi 1760 yd 1 yd 3 ft 12 in 1 ft . in Х 117 yd 1 ft 0 x IK IT LOOKS CONFUSING SO LOOK AT THE PICTURE HELP ME PLEASE!!!!:)​

Answers

Answer:

117 yd/1 x 3 ft/1 yd = 351 ft

Step-by-step explanation:

[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]

A runner sprinted for 351 feet.

Given that, a runner sprinted for 117 yards (yd).

How to convert yards to feet?

To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.

Here, multiply the ratio 117/1 by 3/1.

That is, 117 × 3 =351 ft

Therefore, a runner sprinted for 351 feet.

To learn more about the metric conversion visit:

https://brainly.com/question/21244256.

#SPJ5

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The question is asking for a diagram of each triangle as though the other one were not there. The attached shows such a separation.

__

There are no common angles or sides. Side BD of ΔBDG is part of one side of ΔAEF.

Answer:

see attached

Step-by-step explanation:

What’s 17/5 as a decimal?

Answers

It’s 3.4 because all your doing is dividing 17 into 5

Which must be present in order for factoring by grouping to apply? - The ratios of the first two terms and the second two terms must be positive. - The ratio of the first two terms must be equivalent to the ratio of the last two terms. - There must be at least three terms. - The first and the last terms must be perfect squares.

Answers

Answer:

For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms

Step-by-step explanation:

Here, we want to select which of the options must be present in order for factoring by grouping to apply.

The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms

What this mean is that we must have an equal ratio two times

This practically plays out each time we are to factorize quadratic expressions

For example, in the case of

x^2 -12x + 20

This can be written as;

x^2 - 10x - 2x + 20

which can then be written as x(x-10) -2(x -10)

= (x-2)(x-10)

The first two terms have a ratio of ;

x^2/-10x while the last two terms have a ratio -2x/20

Thus, we have -x/10 and -x/10

We can see here that the ratios of both sets are equivalent

Answer:

The ratio of the first two terms must be equivalent to the ratio of the last two terms

What is (16)-(11)7 in distributed property

Answers

Answer: I think you answer is -61 if not sorry

Step-by-step explanation:

Pls help me ASAP!!!!!

Answers

Answer:

2 4/5

Step-by-step explanation:

You first see how many times the bottom number can fit in the top number. The number 5 can go in 14 two times. It can't go in three because then it would be over 14. So you take that "2" and that is your hole number and you are left with 4/5. so 2 4/5

Answer:

It is c, 2 4/5

Step-by-step explanation:

5 goes into 14 2 times with 4/5 left over

what is true of BLOOD cells​

Answers

Answer:

Your blood carries oxygen and nutrients to all of the cells in your body. Blood cells also fight infection and control bleeding. Most blood cells are made in your bone marrow. They are constantly being made and replaced.

Step-by-step explanation:

Hope this helps!

Brainliest please.

Answer: It carries oxygen. Red blood cells also remove carbon dioxide from your body, transporting it to the lungs for you to exhale. Red blood cells are made in the bone marrow. They typically live for about 120 days, and then they die.

Mike is purchasing fabric for a school project. He needs to cut out circles with an area of 314 square inches. The fabric at the store is precut into squares, each of which has a whole number of inches for the length of its side. What is the smallest square piece of fabric Mike can purchase to use to cut out one of the circles?

Answers

Answer:

20 inches

Step-by-step explanation:

Mike needs to cut out circles with an area of 314 square inches.

Let d be the diameter of required the circle,

So, the area of the circle [tex]=\frac{\pi d^2}{4}[/tex]

[tex]\Rightarrow 314 = \frac{\pi d^2}{4}[/tex] [ given]

[tex]\Rightarrow 314\times 4 =\pi d^2[/tex]

[tex]\Rightarrow 314\times 4 =3.14 \times d^2[/tex]  [ using \pi=3.14]

[tex]\Rightarrow d^2=\frac{314\times 4}{3.14}[/tex]

[tex]\Rightarrow d^2=400[/tex]

[tex]\Rightarrow |d|=\sqrt{400}=20[/tex]

[tex]\Rightarrow d=\pm 20[/tex] inches

Neglecting the negative sign as the length of diameter can't be negative.

So, the diameter of the required circle is [tex]d=20[/tex] inches.

As the available fabric at the store is in the square shape for which length and width are the same, to cut out one circle of diameter [tex]d[/tex], the dimension of the square must be greater than or equal to [tex]d[/tex].

So, the length of the smallest square piece of the fabric Mike can purchase to use to cut out one of the circles is [tex]d=20[/tex] inches.

7. Robert poys for his family to go bowling. He pays an initial fee
to rent shoes for everyone and then pays a certain amount
per game that his family plays as shown in the graph
How much did Robert pay to rent shoes for
everyone
Total Cost
What was the cost per game at the
bowling alley?
c. Write an equation to represent the situation
Number of Gomes

Answers

Answer:

a)Robert pay $12 to rent shoes for  everyone

b)Cost of each game is 4.5

c)y = 4.5x+12

Step-by-step explanation:

Refer the attached graph

a)How much did Robert pay to rent shoes for  everyone ?

y - intercept will give the rent shoes for everyone

y intercept is point where the graph of a function or relation intersects the y -axis of the coordinate system.

So, from the graph we can see that at x = 0 , y = 12

So, from the graph we can see that the no. of games is 0 . So, Total cost is 12

Thus Robert pay $12 to rent shoes for  everyone

b)What was the cost per game at the  bowling alley?

So, we are supposed to find the slope

Two pints from graph :

[tex](x_1,y_1)=(0,12)(x_2,y_2)=(2,21)m = \frac{y_2-y_1}{x_2-x_1}=\frac{21-12}{2-0}=4.5[/tex]

So, Cost of each game is 4.5

c)Write an equation to represent the situation  Number of Gomes

General equation : y = mx+c

So, y = 4.5x+12

PLEASE PLEASE HELP I NEED THIS RIGHT NOW

Answers

Answer:

should be the last one 0.02

mike bought an item for $14,000 after a discount of 30% what was the original price of the item mike brought? please show work.

Answers

Answer:

It should be $20,000

Step-by-step explanation:

From $20,000 to $14,000 = -30%

Which the -30% is the discount basically

So your final answer should be $20,000

$20,000 was the original price.

Ricardo works in the marketing department of a game design company. His boss has offered to bonus the entire department of their average monthly game sales for March through July have been 4,567,5430,3998,5,220,and 4,906 respectively. How many games must they sell in august to earn the bonus.

Answers

Answer:

Approximately 4824 games

Step-by-step explanation:

Given that the sales made are 4,567 ,5430, 3998, 5,220,and 4,906

the average is (4567+5430+3998+5220+4906)/5

=24121/5

=4824.2

in the month of august let the sales be x

average= (4567+5430+3998+5220+4906+x)/6

the average for march to july is 4824.2

4824.2= (4567+5430+3998+5220+4906+x)/6

24121+x=4824.2*6

24121+x=28945.2

x=28945.2-24121

x=4824.2

approximately 4824 games

equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm, find the third sides​

Answers

Answer:

[tex]\boxed{\pink{\sf Value \ of \ third \ side \ is \ 7cm . }}[/tex]

Step-by-step explanation:

According to Question , equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm . And we need to find the third side .

Let us take the third side be x.

By Question ,

[tex]\implies Perimeter_{\triangle}= x + 30 cm + 30cm \\\\\implies 67cm = 60cm + x \\\\\implies x = 67cm - 60cm \\\\\underline{\boxed{\red{\tt\implies x = 7cm. }}}[/tex]

Hence the value of third side is 7cm.

Idk how to do this soooo helppp

Answers

Answer:

basically u do the formulas and plug them in.

Step-by-step explanation:

if y=1/3 when x=1/2 find y when x=1/4

Answers

y would be 1/6, i need to put more words so thats why i wrote what is after the comma

Answer:

y=1/3

3y=1...........(1)

x=1/2

2x=1..........(2)

:.

2x=3y

when x=1/4

2×1/4=3y

3y=1/2

y=1/(2×3)=1/6 is your answer


2 + 29m - 9m - 5 =
HELP

Answers

Answer:

20m-3

Step-by-step explanation: hope that helps :)

2+29m−9m−5

=2+29m+−9m+−5

Combine Like Terms:

=2+29m+−9m+−5

=(29m+−9m)+(2+−5)

=20m+−3

4. Simplify: (4 – 5) – (13 – 18 + 2).

(a) -1,

(b) –2,

(c) 1,

(d) 2.

Answers

Answer:

2

Step-by-step explanation:

(4-5) - (13-18+2)

( -1) - ( -3)

-1 + 3

2

Answer:

hello

[tex](4 - 5) - (13 - 18 + 2) = ( - 1) - ( - 3) = ( - 1) + 3 = 2[/tex]

Someone please help only answer if your 100 percent sure

Answers

Answer:

90

Step-by-step explanation:

An ornament shaped like a sphere has a radius of 2.3 inches which measurement is closest to the volume of the ornament in cubic inches

Answers

Answer:

50.97in^3

Step-by-step explanation:

Volume of a sphere

The expression for the volume of a sphere is given as

V=4/3πr^3

Given that the radius is 2.3in

Substitute r= 2.3 in the expression to find the volume of the sphere

V=4/3*3.142*(2.3)^3

V=4/3*3.142*(12.167)

V=4/3*38.23

V=152.9/3

V=50.97in^3

Therefore the volume of the ornament is 50.97in^3

What is the relationship between ∠1 and ∠8?

Answers

Answer:

Alternate Exterior Angles

Step-by-step explanation:

The relationship between [tex]\angle 1[/tex] and [tex]\angle 8[/tex], are Alternate Exterior Angles, because those two angles are in the outside of the transversal line and they are in  opposite sides.

A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month. If this situation were represented by a function, what would be the slope?
50

25

75

0

Answers

The 25 dollars because you already payed for the phone and you would have to keep paying them 25 dollars each month

Answer:

slope is 25 because the equation is y=25x+50

Step-by-step explanation:

heres the official answer

7. PLS I NEED AN ANSWER ASAP

Answers

Part A: 3x + 15 = 5x - 25

Part B: x = 20

PLEASE HELP I ONLY NEED# 8,10,12,19,20 AND 22 DONE ​

Answers

This is the answer hope you get it :)

1. Choose the graph that represents the equation y = -x] - 1.

Answers

Answer:

x=−y−1

Step-by-step explanation:

y=−x−1

Step 1: Flip the equation.

−x−1=y

Step 2: Add 1 to both sides.

−x−1+1=y+1

−x=y+1

Step 3: Divide both sides by -1.

−x

−1

=

y+1

−1

x=−y−1

2 ones and 96 thousandths as a decimal number

Answers

Answer:

2.096

Step-by-step explanation:

Standing on top of a 235 foot tall building, you spot your friend on the ground who is 94 feet away from the building. What is the angle of depression you had to look to spot your friend?​

Answers

Answer:

bebot dede looo

Step-by-step explanation:

What is a constraint in math? For what situations would they be useful?

Answers

Answer:

Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!

Step-by-step explanation:

Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation

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