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

Fill in the blank with the correct math term, and give an example of each.

A. A(n) ________is a mathematical relationship that uses one or more variables, numbers or operation symbols.

Example:

B. A(n)________is a symbol that can be replaced by a number in a mathematical expression or equation.

Example:

C. A(n)_________is a mathematical sentence with an equal sign

Example:

Hellooo! Can someone please help me with this. I’m struggling, and need help. if u can help i would appreciate it. Also on the example parts please give a example, thank u.

Answers

A. A(n) equation is a mathematical relationship that uses one or more variables, numbers, or operation symbols.

B. A(n) variable is a symbol that can be replaced by a number in a mathematical expression or equation.

C. A(n) equation is a mathematical sentence with an equal sign.

A. A(n) equation is a mathematical relationship that uses one or more variables, numbers, or operation symbols.

Example: The variable "x" is used in the equation 2x + 3 = 7. It demonstrates the relationship that arises when "x" is multiplied by 2, added to 3, and the result is 7 as the outcome.

B. A(n) variable is a symbol that can be replaced by a number in a mathematical expression or equation.

Example: In the equation 3y + 2 = 11, "Y" is the variable. The equation can be solved by changing the value of "y," which can take on a variety of possibilities.

C. A(n) equation is a mathematical sentence with an equal sign.

Example: 4 + 5 = 9 is an illustration of an equation. It states that combining 4 and 5 yields the number 9. The equal symbol denotes the equality or balance of the two sides of the equation.

Explanation:

A. An equation is a statement that demonstrates the relationship between different quantities, variables, or numbers using mathematical operations. It might have a variable or several that need to be figured out in order to arrive at a particular value or link.

B. A variable is a symbol that is used to signify an ambiguous or fluctuating quantity in mathematical statements or equations. It is made flexible and generic to represent different values or relationships inside the confines of a mathematical issue.

C. An equation is a mathematical statement that establishes the equality of two expressions by using the equal sign. It indicates that the values of the two sides of the equation are equal or the same. In order to show mathematical relationships and properties, equations are frequently utilised.

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Whats an easy way to focus and get my homework completed quickly?

Answers

Answer:

Have all devices that may distract you off or in another room. You should also work in a quiet place, such as a bedroom, library, etc.

Answer: set goals for the time you will be working. put away distractions and electronics. try to work in a quiet place. after working for a while, take a 5-10 minute break to walk around and drink water or eat a small snack. if it helps you, play non distracting music such as lofi or piano music. also stay hydrated while working. i like to write all of the things i have to do in order, and write the time i will be done by them. example

science 2 pm

history 2:45

art 3:15

hope this helps!

what is the zero if the function ?


A -5


b. 2/5


c 2


d 5/2

Answers

The answer to that one is C

Can someone please help with question 7

Answers

Answer:

EEEEZZZZZ     6.708203933

Step-by-step explanation:

Answer:

6√2

12

Step-by-step explanation:

go ahed and try im confuesd

Answers

Answer:

a and c and e

Step-by-step explanation:

Answer: I believe its proportional

Step-by-step explanation:

100 POINTS!!!!!! hELP ASAP EXAM
Show that ( + )^2 = ( + )( − ) + 2

Answers

Answer:

2+y=x÷2 y=5 x=23

Step-by-step explanation:

it was very eazy

Let that unknown one be x

[tex]\\ \rm\rightarrowtail x^2=x(-x)+2[/tex]

[tex]\\ \rm\rightarrowtail x^2=-x^2+2[/tex]

[tex]\\ \rm\rightarrowtail 2x^2=2[/tex]

[tex]\\ \rm\rightarrowtail x^2=1[/tex]

[tex]\\ \rm\rightarrowtail x=1[/tex]

Select the equation that is true.

6,714 ÷ 103 = 6.714
6,714 ÷ 103 = 67.14
6,714 ÷ 103 = 671.4
6,714 ÷ 103 = 6,714

Answers

None of them are correct but the one closest is the 2nd option

Answer:

if the three is meant to be a zero then the answer is B, 67.14

Step-by-step explanation:

What is 33 1/3% of what number is 12

Answers

Answer:

36

Step-by-step explanation:

33.33333...% is 1/3 of a number

1/3 of 36 is 12

12(3)=36

answer this question

Answers

First we need to solve the inequality

[tex]\\ \sf\longmapsto 2x-8<4x+5[/tex]

[tex]\\ \sf\longmapsto -2x=13[/tex]

[tex]\\ \sf\longmapsto x=-\dfrac{13}{2}[/tex]

[tex]\\ \sf\longmapsto x=-4\dfrac{3}{4},6.5[/tex]

Simplify the given equation

5x+2(x-3)=2x-1

A) 7x-3=-2x-1

B) 7x-6=-2x+2

C) 7x-6=-2x-2

Answers

Answer: B) 7x-6=-2x+2

Step-by-step explanation:

(a−2b)3 when a=−3 and b=−12
help plsss

(the three is an exponent)

Answers

Answer:

9261

Step-by-step explanation:

Substitute -3 for a and -12 for b in (a - 2b)^3:

(-3 - 2·-12)^3, or

(-3 + 24)^3, or

21^3 = 9261 (answer)

Your Fourthknight team is holding a fundraiser. The list shows all expenses for the fundraiser.

- A tablet that costs $250

- Soccer tickets that cost $150

- Gift cards totaling $425

- The cost of catering is $875

The members of the team will sell tickets at the fundraiser. The ticket cost is set so that 68 tickets will pay for the cost of prizes and food.
How much does each ticket cost?

Model the profit for the fundraiser using an equation:

Answers

Answer:

25

Step-by-step explanation:

Because when you add all the cost and divide by the amount of tickets you get 25

another word for collinear

Answers

Answer: words like straight, symmetrical, aligned.

Help me please!! This is timed and I’m stuck

Answers

Let's solve

[tex]\\ \sf\longmapsto 2x^2+7x-15=0[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7\pm\sqrt{7^2-4(2)(-15)}}{2(2)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7\pm\sqrt{169}}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7\pm13}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7+13}{4}\:or \:\dfrac{-7-13}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{6}{4}\:or\:\dfrac{-20}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{3}{2}\:or -5[/tex]

Subtract

[tex]\\ \sf\longmapsto 3/2-(-5)=3/2+5=13/2[/tex]

Option B

Answer:

Option (B.)

Step-by-step explanation:

Answer in the picture.hu

A drive-through car wash can wash 10 vehicles in 45 minutes. At this rate, how long would it take to wash 4 cars?

Answers

Answer:

18

Step-by-step explanation:

First we need to know how many vehicles they can wash in a minute.

1. So you do 10/45. You get 4.5

2. Now that you know that they wash 1 vehicle in 4.5 minutes, you mulitply that by 4. And you get 18.

Hope this helps! :D

answer:

7.5

I'm not good at don't hate me pls???

two hundred parents attend the grade 6 orientation last year. Only 160 parents attended this year. fimd the percent of decrease in the attendance ​

Answers

Answer: 20%

Step-by-step explanation:

200 -> 160

160/200

= 0.8

1 - 0.8

= 0.2

There was a 20% decrease in attendance.

Is this a function? Easy points

Answers

Wanna learn how to make Mac and cheese
For thanks giving

Boil the pasta, drain.
Make the cheese sauce by combining a fat (butter), and starch (flour), then whisking in the milk products.
Cook the sauce until it’s nice and thick.
Add in shredded cheeses, stir well.
Combine cheese sauce with cooked pasta.
Transfer half of the mac and cheese to a baking dish, sprinkle with more shredded cheese.
Top with the rest of the mac and cheese, top with more shredded cheese.
Bake and prepare to thoroughly enjoy

Use cross multiplication to figure this out. (What does xy = )
.78x/7 = 19/4y

Answers

Answer:

xy = 42.6282051282...

Step-by-step explanation:

0.78x/7 = 19/4y

0.78x * 4y = 3.12xy

19 * 7 = 133

3.12xy = 133

3.12xy/3.12 = 133/3.12

xy = 42.6282051282...

2x+1+4x+7+5x-1+4x-18+7x-39

Answers

Answer: x=2

Step-by-step explanation:

8) What are the measures of angles x, y, and z?

Answers

Angles x, y, and z are 5s.

Angle x is a vertical angle to 5s, angles x and y are alternate interior angles so y is also 5s. And z is an alternate exterior angle to angle y.

I can't really figure out the number value of 5s with the given information.

Solve for x.

4/5(x−3/10)=−2 1/4

Enter your answer as a mixed number in simplest form in the box.

Answers

Answer:

x = -201/80

Mixed form: x = -2 41/80

Step-by-step explanation:

Value of x =  [tex]-2\frac{1}{4}[/tex]

What is algebraic equation?

Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

Examples: (y²x² + 2xy – y)/(x – 1) = 12.

Given, equation

[tex]\frac{4}{5}(x- \frac{3}{10} )[/tex] = [tex]-2\frac{1}{4}[/tex]

⇒4/5[(10x-3)/10] = -9/4

⇒2/5[(10x-3)/5] = -9/4

⇒(20x-6)/25 = -9/4

⇒80x - 24 = -225

⇒80x = -225 + 24

⇒x = -201/80

⇒x = -2.5125

⇒x = [tex]-2\frac{1}{4}[/tex]

Hence, the value of x in simplest mixed number is    [tex]-2\frac{1}{4}[/tex]

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Someone help plz and thanks

Answers

Answer:

Step-by-step explanation:

Total students = 6 + 6 +8 + 4 + 2 +3 + 7 + 5 = 41

Probability of a chosen student be Physics or Chemistry or both =

[tex]\dfrac{8}{41}+\dfrac{4}{41}+\dfrac{5}{41}=\dfrac{17}{41}[/tex]

A group of 100 students were asked if they study French Which statements are correct? Check all that apply.
or Spanish in school. The results are shown in this two-
way table.
5 students study both French and Spanish.
63 students study French.
Not
French
French
Total
2 students study neither French nor Spanish.
30 students study French, but not Spanish.
Spanish 5
63
68
63 students study Spanish.
תס
Not
Spanish
30
N
32
Total
35
65
100

Answers

Answer:

2 students study neither french or Spanish

SOMEONE PLEASE ANSWER‼️‼️‼️ILL MARK BRAINLYEST PLEASE ‼️‼️
In the triangle LMN, LM = 13, MN = 17, LN = 10. Which is the largest angle?

A. LNM
B. LMN
C. This cannot be determined
D.MLN

Answers

Answer:

b. LMN

Step-by-step explanation:

The angle opposite to the largest side is the largest angle, which means that angle MLN is the largest angle. Hence, option D is correct.

What is an angle?

Two lines converge at a location, creating an angle. An "angle" is the term used to describe the length of the "opening" between these two rays. The letter is used to represent it. Angles are frequently expressed in degrees and radians, a unit of roundness or rotation.

The given lengths of the sides are,

LM = 13

MN = 17 and LN = 10

Then, the angle which is opposite to the side MN will have the greater angle then angle MLN has the greater angle.

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find the slope and y intercept.​

Answers

Answer:

the slope is 2

the y intercept is (-4,0)

Step-by-step explanation:

slope is calcuated by rise over run

The slope is 2
Y intercept is (-4,0)
Rise over run

Circle A has been enlarged to create circleA prime . The picture below shows the diameters of both circles.


Based on the information in the picture, what scale factor was used to create circle A prime ?

Answers

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  5/2

Step-by-step explanation:

The ratio of the diameters is equal to the scale factor:

  sf = (15 in)/(6 in) = 5/2

The scale factor used to create circle A' is 5/2.

Please help! WILL MARK BRAINLIEST

Answers

Answer:

2nd option is correct

.........................

Answer:

1 1/9 ft^3

Step-by-step explanation:

5/3*1*2/3=10/9*1=10/9

10/9=1 1/9

help with this question please!

Answers

Gotta subtract the triangle from the semi circle

Triangle: 1/2 base • height
= 1/2 (6) • 3
= 9

Then find the semi circle
(pi r^2)/2
= (3.14 • 3^2)/2
= 14.13

14.13 - 9 = 5.13 mm^2

what is trigonometric functions​

Answers

a function of an angle, or of an abstract quantity, used in trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant, and their hyperbolic counterparts.

Answer:

a function of an angle, or of an abstract quantity, used in trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant, and their hyperbolic counterparts.

Step-by-step explanation:

hope this helps

Solve for X

[tex]\frac{2x+9}{5} \leq \frac{7x-5}{6}[/tex]

Give answer as an improper fraction in its simplest form

Answers


Basically treat the inequality as an equal sign and do it. Note that to switch the sides, the inequality also has to be flipped.
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