Jerry has a part-time job at a supermarket. The ordered pairs show the number of hours he worked for (input values) and the number of dollars (output values) he earned over a five week period. (6,72) (8,96) (5.5, 66) (9,108) (7,84) Are the ordered pairs a relation?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

The ordered pairs are (6,72) (8,96) (5.5, 66) (9,108) (7,84).

The number of hours worked is [tex]x[/tex] and the money earned is  [tex]y[/tex].

Let us divide the values of [tex]y[/tex] by [tex]x[/tex]

[tex]\dfrac{72}{6}=12[/tex]

[tex]\dfrac{96}{8}=12[/tex]

[tex]\dfrac{66}{5.5}=12[/tex]

[tex]\dfrac{108}{9}=12[/tex]

[tex]\dfrac{84}{7}=12[/tex]

The fuction which defines the above ordered pairs is [tex]y=12x[/tex]

It can be seen that the amount of money earned is 12 times the number of hours worked.

So, per hour Jerry earns 12 dollars.

Hence, the ordered pairs are relation.


Related Questions

HURRY I NEED HELP ASAP

Answers

Answer:

I believe the answer is 13 times I'm not positive but 12 tsp is 2 oz so I think 13 would make up for the other part

Step-by-step explanation:

If I'm wrong I'm sorry

Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

9 / 54 = x / 18

x = 3

Some people advised that in very cold​ weather, you should keep the gas tank in your car more than half full. ​irene's car has 6.7 gallons in the ​15 -gallon tank on the coldest day of the year. Irene filled the tank with gas that cost ​$3.50 per gallon. How much did irene spend on​ gas?

Answers

Answer:

irene spent $23.45

Step-by-step explanation:

Cost of gas = $3.50 per gallon = 350 cents

Quantity of  gas = 6.7 gallons

Amount spent = Cost * Quantity

Amount = 350 * 6.7

Amount = 2345 cents

Amount = $23.45

The sum of two consecutive odd integers is 150. what are the two integers ?

Answers

Answer:

75..............................

In 2008, the number of tourists visiting France was 7.94 x 10^7. The number of tourists visiting Italy was 4.27 x 10^7. Find the difference in the number of visitors.​

Answers

Answer:

[tex]36700000[/tex]

Step-by-step explanation:

Difference between tourists visiting France and Italy = [tex](7.94 - 4.27)[/tex] ×[tex]10^{7}[/tex]

[tex]= 3.67[/tex] × [tex]10^{7}[/tex]

[tex]= 36700000[/tex]

[tex]\therefore[/tex] Difference between population of tourists in France and Italy are [tex]36700000[/tex] people.

A man purchased 6 fruits at Rs 10 How many fruits will he sell at Rs 9 so that he may make an overall profit of 8%

Answers

Answer:

Step-by-step explanation:

P(x)=S(x)-C(x)

0.8=9-C(x)

C(x)=9 -0.08

C(x)=8.92

An economist in Kenya argued that 3.5% of all SMES would file for bank loans next year. For a random sample of 100SMES estimate the probability that at least 3 will file bank loans next year

Answers

Answer: 0.6841

Step-by-step explanation:

Given: Probability of all SMES would file for bank loans next year = 3.5% = 0.035

Sample size : n = 100

Binomial probability distribution formula :

[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]

The probability that at least 3 will file bank loans next year :

[tex]P(x\geq3)=1-P(x<3)\\\\=1-(P(x=0)+P(x=1)+P(x=2))\\\\=1-(^{100}C_0(0.035)^0(1-0.035)^{100}+\ ^{100}C_1(0.035)^1(1-0.035)^{99}+^{100}C_2(0.035)^2(1-0.035)^{98})\\\\=1-(0.3159)\\\\=0.6841[/tex]

Hence, the required probability= 0.6841

Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80!

Answers

Answer:

1.15

Step-by-step explanation:

What is the equation in slope-intercept form of a line that has a slope of −12 and a y-intercept of 6?

Answers

Answer:

y=-12+1

hopes this hwlps

Answer:

y=-12x+6

Step-by-step explanation:

There is enough information to write this equation in slope-intercept form.

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The given slope is -12 and the given intercept is 6.

[tex]y=mx+b\rightarrow \boxed{y=-12x+6}[/tex]

Hope this helps.

Jim wants to make 2.7 quarts of a 60% alcohol solution by mixing together a 80% alcohol solution and a 20% alcohol solution. How much of each solution must Jim use?

Answers

Answer:

1.8 quartz of 80% solution and

0.9 quarts of 20% solution.

Step-by-step explanation:

Given that:

Total alcohol solution to be made = 2.7 quarts of 60% solution

Alcohol concentration in first solution= 80%

Alcohol concentration in second solution = 20%

To find:

How much of each solution must Jim use?

Solution:

Let amount of first solution to be used = [tex]x[/tex] quartz

Total amount is given as = 2.7 quarts

So, amount of second solution to be used = (2.7 - [tex]x[/tex]) quartz

As per question statement, we can write the following equation:

[tex]80\%\ of\ x +20\%\ of\ (2.7-x) = 60\%\ of\ 2.7\\\Rightarrow \dfrac{80}{100} x +\dfrac{20}{100} (2.7-x) = \dfrac{60}{100}\times 2.7\\\Rightarrow 4x+2.7-x =3\times 2.7\\\Rightarrow 3x=2\times 2.7\\\Rightarrow \bold{x =1.8\ quartz}[/tex]

First solution, 80% solution to be used = 1.8 quartz

Second solution, 20% solution to be used = 2.7 - 1.8 = 0.9 quartz

Joylin's work to solve a math problem is shown below. Problem: Manny walked StartFraction 5 Over 16 EndFraction of the distance to the library in One-third of an hour. If he walks at a constant rate, what is the total amount of time he will spend walking to the library? Step 1: StartFraction 5 Over 16 EndFraction divided by one-third = h Step 2: StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h Step 3: StartFraction 48 Over 5 EndFraction = h Answer: 9 and three-fifths = h What was Joylin's first error?

Answers

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

Step-by-step explanation:

She switched the divisor and the dividend when creating an equation to model the problem in step 1.

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

She multiplied the two numerators and the two denominators to generate her product in step 3.

She reduced the improper fraction incorrectly when getting her final answer.

5/16 = 1/3h

Correct steps

Step 1:

h = 5/16 ÷ 1/3

Step 2:

h = 5/16 × 3/1

Step 3:

h = (5*3) / (16*1)

= 15/16

h = 15/16

Incorrect steps:

Step 1: StartFraction 5 Over 16 EndFraction divided by one-third = h

5/16 ÷ 1/3 = h

Step 2: StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h

16/5 × 3/1 = h

Step 3: StartFraction 48 Over 5 EndFraction = h Answer: 9 and three-fifths = h

48/5 = h

9 3/5 = h

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2  

Step-by-step explanation:

please give me brain list, please

A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?

Answers

the total price would be $17.17

help need rn i will give brainlest​

Answers

the answer is the last one.

you convert to point slope form and get

y = 4x - 5

when you graph that (along with the other equations) it is the only one that passes through the point (1,-1)

42% as a decimal to Nearest hundredth

Answers

0.42 is the correct answer
To turn 42% into a decimal you move the point behind 2 two places to the left, so the correct answer is 0.42

Simplify: (6-91)-(2-31)​

Answers

Answer:

-56

Step-by-step explanation:

6-91=

-85

2-31=

-29

-85--29=

-56

Answer:

-56

Step-by-step explanation:

2 6/8 in simplest form

Answers

Answer:

2 3/4

Step-by-step explanation:

Guys plz help plz on both plzzzzz

Answers

.12 and .1!!!!!!!!!!

Answer:

The first one is 9/50 and the second one is 1/2

Step-by-step explanation:

you multiply the numerators by each other then you multiply the denominators by each other then you should have your answer :)

The list below shows all of the possible outcomes for flipping four coins.


HHHH

HHHT

HHTH

HHTT

HTHH

HTHT

HTTH

HTTT

THHH

THHT

THTH

THTT

TTHH

TTHT

TTTH

TTTT


What is the probability of getting the same number of heads and tails?

StartFraction 1 over 8 EndFraction

One-fourth

StartFraction 3 over 8 EndFraction

Three-fourths


40 points

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

C: 3/8

Step-by-step explanation:

edg2021

There are a total of 16 outcomes, and 6 of them have equal heads and tails. Simplify and its 3/8

what was the scale factor? Show how you found your answer.
A(0,0) A’ (1.4)
B (4,0) B’ (9.4)
C (0.3) C’ (1.10)
PLEASE HELP

Answers

Answer:

2

Step-by-step explanation:

The scale factor is two since it's 2 times bigger than the actual figure.

Proof:

A to B = 4 units

A' to B' = 8 units

A to C = 3 units

A' to C' = 6 units

See how it keeps multiplying by 2.

4 x 2 = 8

3 x 2 = 6.

Ace Carlos

When hitting the ski slopes, which location do skiers have the most potential energy

Answers

Answer:

at the top of the mountain or hill

Step-by-step explanation:

potential energy is stored energy so therefore the higjestpoint will have the most potential energy.

The skier begins at an elevated position, thus possessing a large quantity of potential energy (i.e., energy of vertical position).

What is Kinetic Energy?

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

The skier has a lot of potential energy because they are starting from an elevated position (i.e., energy of vertical position).

If the skier is starting from rest, all of their mechanical energy is potential energy.

and, Potential energy is lost and kinetic energy, or the energy of motion, is acquired as the skier starts the ascent down the hill.

Learn more about Kinetic Energy here:

https://brainly.com/question/26472013

#SPJ3

Any help please and thank you

Answers

Answer:

n=6

j=15

u=7.6

Step-by-step explanation:

Given TACBRD=MYPXEF

we find that the ratio is 1 : 2.5 and we solve from here

Hi I really need help you’ll get 100 if you answer and I’ll give u brainliest!

question is pictured

Answers

Answer:

solution given:

A=l w

now

dividing both side by w ,we get

[tex] \frac{A}{w} [/tex]=[tex] \frac{lw}{w} [/tex]

l =[tex] \frac{A}{w} [/tex]

is your answer

52 points for answering this

Answers

Answer:

6314

Step-by-step explanation:

Answer: down and left and right and up

Step-by-step explanation:

round 0.0063 to 2 decimal places

Answers

Answer: 0.63
Step-by-step Explanation:
Estimation is usually a rounded-off figure where you can find a overall or a round figure of numbers such as decimals.

a store sells comic books. during the sale, the store reduces the price of each comic book by $1.25. claire spends $13.76 on 4 comic books at the sale price. what was the price of 1 comic book before the sale? ​

Answers

Answer:

4.69

Step-by-step explanation:

13.76/4 +1.25

Solve the equation, showing each step of the solution.
-3x + 25 = 40

Answers

Answer:

x= -5

Step-by-step explanation:

-3x + 25 = 40

you want to put x terms on one side, numbers on another side

subtract 25 on both sides

-3x = 15

divide both sides by -3

x= -5

please hit the heart button :)

Answer:

well for me I think

Step-by-step explanation:

-3x=40-25

-3x=15

x=15/-3

x=-5

parallel ,perpendicular, neither y=4x+5 and -4x +y=-13

Answers

Answer:

here,

slope of line y=4x+5(m1)=-a/b

=4

slope of line -4x+y=-13(m2)=-a/b

4

here m1=m2 so,these are parallel to each other.

Can someone explain this problem to me?? After a price reduction of x%, an item has its price increased to its original value. What was the percent of increase? Express your answer as a common fraction in terms of x.

Answers

Answer:

[tex]\frac{-100(100+x)}{(x-100)}[/tex]

Step-by-step explanation:

Let the original price of the item = p

Let there was q% of increase on the original value, so

the printed price of the item, [tex]C= p+p \frac{q}{100}=p(1+\frac{q}{100})[/tex]

After a price reduction of x%, the has its price increased to its original value, so,

[tex]C-C\times \frac {x}{100} =[/tex] original price + increased price

[tex]p(1+\frac{q}{100})-p(1+\frac{q}{100})\times \frac {x}{100} = p+p[/tex]

[tex](1+\frac{q}{100})-(1+\frac{q}{100})\times \frac{x}{100} =2[/tex]

[tex]-(1+\frac{q}{100})\times \frac{x}{100} =2-1-\frac{q}{100}[/tex]

[tex]-(1+\frac{q}{100})\times \frac{x}{100} =1-\frac{q}{100}[/tex]

[tex](1+\frac{q}{100})\times \frac{x}{100} =\frac{q}{100}-1[/tex]

[tex]\frac{x}{100}+\frac{q}{100}\times\frac{x}{100}-\frac{q}{100}=-1[/tex]

[tex]x+x \times \frac{q}{100}-q=-100[/tex]

[tex]q(\frac{x}{100}-1)=-100-x[/tex]

[tex]q=\frac{-100(100+x)}{(x-100)}[/tex]

Hence, the percent of the increase is [tex]\frac{-100(100+x)}{(x-100)}[/tex]

please help!!! I'm really confused​

Answers

Answer:

1. a

2.c

3.d

4.c

5.b

6.d

Step-by-step explanation:

Through (6,-2), slope = 1/3
Write the equation in slope-intercept form.

Answers

Answer:

y=1/3x+4

Step-by-step explanation:

Slope = 1/3

y=1/3x-b

Through (6,-2)

-2=1/3(6)-b

-2=2-b

-4=-b

b=4

y=1/3x+4

Hope this helps!

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