On Tuesday, I worked $t 1$ hours and earned $3t-3$ dollars per hour. My friend Andrew worked $3t-5$ hours but only earned $t 2$ dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of $t$

Answers

Answer 1

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

Number of hours that I used to work = 1 hour

My hourly pay =  $3t - 3

My total pay at the end of the day = Number of hours x hourly pay

My total pay at the end of the day = 1 (3t - 3)

My total pay at the end of the day = $ 3t - 3

Number of hours that Andrew used to work = 3t -5 hour

Andrew's hourly pay =  $2

Andrew's total pay at the end of the day = Number of hours x hourly pay

Andrew's total pay at the end of the day = 2 (3t - 5)

Andrew's total pay at the end of the day = $ 6t - 10

At the end of the day, I earned $2 more than Andrew

My total pay = Andrew's total pay + 2

3t - 3   =  6t - 10  +  2

6t  -  3t  =  -3 +10 - 2

3t  =  5

t  =  5/3

[tex]t = 1\frac{2}{3}[/tex]

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

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Related Questions

13- pls help with this pre-algebra problem is urgent

Answers

Answer:

What else is in the equation?

Step-by-step explanation:

Also, i think the - should be right here>-13 instead of it being here 13-<

A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?

Answers

Answer:

4.2

Step-by-step explanation:

simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.

The unit rate or rate of change of gallons per week will be 4.2 gallons/week.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

12 gallons in every 20 days,

The unit rate per day will be as,

12/20 = 0.6 gallons per day

It is known that, 1 week = 7 days,

Unit rate per week = 0.6 x 7 = 4.2 gallons/week

Hence "The unit rate, often known as the rate of change, will be 4.2 gallons per week".

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if x = 5 find the value of a) x² b) (x + 3)²

Answers

Answer:

x=5

a)x²

5²=25

b] (x+3)²

(5+3)²

(8)²=64

x=5
a) 5^2 = 25
b) (5+3)^2 = 64

In health class, Baldwin is learning about making healthy food choices. For a lesson on
digestive health, his teacher asks everyone to track how much fiber they eat daily. At
breakfast, Baldwin has a banana. He also has raisin bran cereal, which contains 3.7 grams of
fiber. In all, Baldwin eats 6.8 grams of fiber at breakfast.


Use an equation to find the amount of fiber in the banana.

Answers

Answer:

There are 3.1 fibers in rhe banana

Step-by-step explanation:

6.8-3.7=3.1

Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?

Answers

Answer:

960 ounces in 1 day

(Sorry for a late response, I just logged on)

Step-by-step explanation:

Most of that information is negligable (not important) besides 8 ounces in 12 minutes.

so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get

40 ounces in 1 hour

a day is 24 hours, so if we multiply both sides by 24 well get our answer

960 ounces a day

-- Gage Millar, Algebra 1/2 tutor

Answer:

960 ounces

Step-by-step explanation:

First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:

8/12 = x/60

And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.

Given f(x) = 5x + 2 and g(x) = 5x - x5X What is the value of (f 9)(1)?

Answers

Answer:

the answer is 5×9+2=47

Step-by-step explanation:

the answer is 47

make y the subject of each of y-p=m​

Answers

Answer:

y=m+p

Step-by-step explanation:

take the p to the other side.

p crosses = sighn and becomes +

hence ans = y=m+ p

plz help!I hope you have a wonderful day!!

Answers

18. It would be the second graph. The third graph is eliminated as the boy takes a time period to shave, which means there should be a constant point (horizontal line) right after the first incline. The first one is eliminated as the boy takes a bath which requires another constant point in the graph.

19.
C
E
D
A
B

Which equation represent this statement?

5 less than twice a number is 3

2n - 5 = 3

2n - 3 = 5

5 - 2n = 3

3 - 2n = 5

Answers

2n - 5 = 3
Twice a number is 2 * n
5 less is subtracting 5
Making the statement 2n - 5 = 3

Answer: It was 2n-5=3 The other guy was right

Step-by-step explanation: I took the K12 test.

What is the value of x?

Enter your answer in the box. x = °

Answers

Answer:

x=80

Step-by-step explanation:

my god this should be easy and I thought I was a bit slow

HELPPPPPPP plssssssss

Answers

Answer:

The length of FB IS D) 7 units

Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment ​AB¯¯¯¯¯​ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)

Answers

Answer:

  A. (8 2/5, 8 2/5)

Step-by-step explanation:

You want to find point P such that ...

  AP : PB = 2 : 3

  3AP = 2PB . . . . . . . . cross multiply

  3(P -A) = 2(B -P) . . . recognize length XY = Y - X

  5P = 3A +2B . . . . .  collect P terms

  P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5

  P = (8 2/5, 8 2/5) . . . . matches choice A

Halppppppppppppp..............

Answers

Answer:

1 2/3, and -1 2/3

Step-by-step explanation:

Im wondering how old you are, and since you seem young just based off the math you're asked to do, please listen to the explanation and teach yourself this. This skill in particular is SOOO important to the rest of the math world. So since your number line is already divided into thirds, there are two ways you could find your answer. One, you can count 5 thirds away from zero, or two, you could simplify 5/3 from an improper fraction to a mixed number (1 2/3) and find your spot from there. "and the opposite" means not only the point 5/3 Away from zero on the Right, but also 5/3 away from zero on the Left. start from zero again and count the same amount away but in the opposite direction. With negatives it can help to think of how all numbers are just descriptions of how far left or right a number is from zero. i hope this helped lol, negatives are a confusing batch, but they're so so important to math as a whole.

find the sum
(2x+6)+(4x-12)
HELp

Answers

Answer:

6x-6

Step-by-step explanation:

(2x+6)+(4x-12)=2x+6+4x-12

                      =6x-6

6x-6, you add both x values and and then add the 6+(-12) leaving you with -6

What is the slope of the line?
y-4=-7(x-6)

Answers

Answer:  −7

Step-by-step explanation:

At the grocery store, 3 apples cost $0.65. What is the cost of 8 apples?

Answers

Answer:

$1.76

Step-by-step explanation:

First we need to figure out the cost of one apple.

To do this, divide the cost by the amount.

That's .65/3, which equals .216666, but we should round that number to .22

So if one apple is 22 cents, and we need to know how much money 8 apples is, we times .22 by 8, which gives us 1.76

Hope this helps :))

At the grocery shop, the cost of 3 apples is $0.65 then the cost of 8 apples is $1.76.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The given information in the question,

The cost of 3 apples = $0.65

The cost of 1 apple = $0.65/3 = $0.22

The cost of 8 apples = $0.22 × 8 = $1.76.

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PLEASSEE HELP:Dits for khan
What is the constant of proportionality in the equation
y
=
1
2
x
y=
2
1

xy, equals, start fraction, 1, divided by, 2, end fraction, x?

Answers

The constant of proportionality in the equation  y=1/2x

is 1/2

The direct proportionality between x and y is established by :

y α x

α = proportionality symbol

y = kx - - - (1)

Where;

y and x are the variables

k = proportionality constant

Comparing (1) with the equation given : y=1/2x    y=kx

The value of k aligns with 1/2 in the given equation.

Therefore, the constant of proportionality, k in the equation is 1/2

Answer:

yo yo yo! here to help :) answer is 1/2

six times a number is 21 less than nine times the same number find the number​

Answers

Answer:

x = 7

Step-by-step explanation:

Algebra to Equation:

"six times a number is 21 less" = 6x + 21

"nine times the same number" = 9x

Equation: 6x + 21 = 9x

Solve:

6x + 21 = 9x       [tex]\longmapsto[/tex]       Subtract 6x from both sides

21 = 3x               [tex]\longmapsto[/tex]       Divide both sides by 3

7 = x

x = 7

-Chetan K

The answer is 7.
Hope this helped!

Fred buys flags from a manufacturer
for $12.50 dollars and then sells
them in his store for a 26% markup.
What price do his customers pay for
a flag?

Answers

Answer:

15.75

Step-by-step explanation:

26%of12.5

=12.5*26/100

=3.25

customers pay for a flag is 3.25+12.5=15.75

your amazing and beautiful or handsome or whatever you are comfortable with!:D​

Answers

Answer:

1. C

2. E

3. D

4. A

5. B

Step-by-step explanation:

1. It shows that the number of students decrease.

2. It increases more than the breakfast (B)

3. It's on thin line representing the students and workers whom stayed in the cafeteria.

4. It increases showing the same amount of students that entered the other day.

5. The same

I need help plz help me I am not good at math HELP

Answers

Answer:

600 boys

800 girls

Step-by-step explanation:

Ratio is 3:4

let total number of boys be x

3/4=x/1400-x

4x=3(1400-x)

4x=4200-3x

7x=4200

x=600

600 boys

1400-600 = 800 girls

it would be 800 girls


Find the area of a circle with a radius of 6 feet. Use 3.14 for pi

Answers

Answer:

Replace the value of r in the formula :

A = π • r²

A = π • 6²

A = 113,097

Since you need to round off your answer to one decimal, your final answer is :

A = 113.1 square ft

Step-by-step explanation:

A Bus left Westwick at 0936 and arrived at Plimpton at 2105. How long did the journey take?

Answers

Answer: 11 hours and 29 min

Step-by-step explanation:

I need the answer if you know write with explination if you don't know don't answer ​

Answers

Answer:

ABD ≅ ACD and PQS ≅ PRS

Step-by-step explanation:

For ABD ≅ ACD;

AB = AC = 3.5

BD = CD = 2.5

AD ≅ AD by reflexive

Since all 3 sides are congruent, SSS can be used

For PQS ≅ PRS

PQ≅PR by given

QS≅RS by given

PS≅PS by reflexive property

Since all 3 sides are congruent, SSS can be used and they are congruent

Combining Like Terms -

Answers

Answer:

Step-by-step explanation:

The ratio of the number of girls to the number of boys is 3:5 . if the number of boys os 12 more than the number of girls ,calculate the total number of students in the class.

Answers

Answer:

48 students in the class

Step-by-step explanation:

The ratio of girls to boys is 3 : 5 = 3x : 5x ( x is a multiplier ) , then

5x = 3x + 12 ( 12 more boys than girls )

Subtract 3x from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

number of girls = 3x = 3 × 6 = 18

number of boys = 5x = 5 × 6 = 30

total students in class = 18 + 30 = 48

Dana ate her trail mix. she found that 28% of the trail mix is raisins. What is 28% of 7 ounces

Answers

Answer:

the answer is 2.28 ounces

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer:

6 and 28

Step-by-step explanation:

Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.

Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.

1/9 × 3 9/10 = as a mixed number​

Answers

Answer:

4 1/90

Step-by-step explanation:

I did It so yeah thats it

Is 100 a reasonable estimate for 915.25 +88.22? Explain.​

Answers

Answer:

When estimating always round to the nearest whole number, 10th or 100th.

Im not sure if which estimation you are requesting in this question but i'l give you three answers:

The nearest whole number which would be 915 and 88 would be 1,003

The nearest 10th which is 920 and 90 which would be 1,010

The nearest 100th which would be 900 and 90 which would be 990

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