Gavin wrote the equation p = StartFraction 3 (s + 100) Over 4 EndFraction to represent p, the profit he makes from s sales in his lawn-mowing business. Which equation is solved for s?

Answers

Answer 1

Answer:

[tex]s = \frac{4p}{3} -100[/tex]

Step-by-step explanation:

Given

[tex]p = \frac{3(s + 100)}{4}[/tex]

Required

Solve for s

[tex]p = \frac{3(s + 100)}{4}[/tex]

Multiply both sides by 4

[tex]4 * p = \frac{3(s + 100)}{4} * 4[/tex]

[tex]4 * p = 3(s + 100)[/tex]

[tex]4p = 3(s + 100)[/tex]

Open bracket

[tex]4p = 3s + 300[/tex]

Subtract 300 from both sides

[tex]4p -300= 3s + 300 -300[/tex]

[tex]4p -300= 3s[/tex]

Divide both sides by 3

[tex]\frac{4p -300}{3}= \frac{3s}{3}[/tex]

[tex]\frac{4p -300}{3}= s[/tex]

[tex]s = \frac{4p -300}{3}[/tex]

Split

[tex]s = \frac{4p}{3} -\frac{300}{3}[/tex]

[tex]s = \frac{4p}{3} -100[/tex]

Answer 2

Answer: b

Step-by-step explanation:

i just did it and got it right


Related Questions

Last month, Carly paid a gas and electric bill that totaled $150. The gas portion of the bill was $30. What percent of the bill did Carly pay towards her gas? (Hint: Write a proportion and remember what percents start as!) *
30%
20%
150%
45%

ILL GIVE BRAINLYIST

Answers

Answer:

I believe its 45%

Step-by-step explanation:

45% is your answer to your question

what is the length of a line segment with endpoints (3,-6) and (-2,6) ?​

Answers

Answer:

13

Step-by-step explanation:

Given that f(x) = x2 + 12x + 32 and g(x) = 2 + 4, find (f - g)(x) and
express the result in standard form.

Answers

Answer:

(f - g)(x) = x² + 12x + 26

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

f(x) = x² + 12x + 32

g(x) = 2 + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

Substitute:                         (f - g)(x) = x² + 12x + 32 - (2 + 4)Combine like terms:         (f - g)(x) = x² + 12x + 32 - 6Combine like terms:         (f - g)(x) = x² + 12x + 26

*
8. Determine the rate of change (slope) in the graph

Answers

Answer:

Step-by-step explanation:

2 calculate rise over run

15y+3=36
Y=?/?

It’s asking for y in a fraction

Answers

Answer:

y = 33 / 15 = 11 /5

Step-by-step explanation:

subtract 3 from both sides,

15y = 33

divide 15 from both sides

y = 33/15

simplify ( divide top and bottom by 3)

y = 11/5

14 hours 40 minutes ÷ 5?​

Answers

Answer:

112 seconds

Step-by-step explanation:

According to my calculations girl here to tell you how.

40*14=560

560/5=112

if 14 is hours and 40 is minutes, multiplying and dividing by five gives you

*DRAMATIC MUSIC*

112 seconds

Answer:

176 minutes

Step-by-step explanation:

14 hours equals 840minutes + 40 minutes = 880 minutes

880/5=176

-3p = -48
What does p equal

Answers

Answer:

p=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

[tex] - 3p = - 48 \\ \\ p = \frac{ - 48}{ - 3} \\ \\ p = 16[/tex]

Please help me solve this and please also show work so I can understand it BETTER PLEASEEE ITS DUE

Answers

Answer:

6. 8b²-5b-4

7. -3x²+9x-4

8. 3

9. 6a+15

Step-by-step explanation:

you will subtract/add the numbers with the same variables and exponent.

ex. (number 6) 7b²+ b²= 8b²

5b= 5b 8b²+5b-4

1-5= -4

(plus 5b because it didnt come out to a negative) if you have any questions, say in the comments and ill try my best to help

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 10 ÷ 5 and 5 ÷ 10

Answers

Answer:

no, its not equivalent

Step-by-step explanation:

10/5= 2

5/10=0.5

On a 4 sided dice what is the probability that a 1 was rolled?

Answer (round) to the hundredth place value.

Answers

Given:

A 4 sided dice is rolled.

To find:

The probability of getting 1.

Solution:

A 4 sided dice is rolled.

On a 4 sided dice, the possible outputs are 1,2,3,4.

Total number of outcomes = 4

Favorable outcomes or number of 1 = 1

Now,

[tex]\text{Probability of getting 1}=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}[/tex]

[tex]\text{Probability of getting 1}=\dfrac{1}{4}[/tex]

[tex]\text{Probability of getting 1}=0.25[/tex]

Therefore, the probability of getting 1 is 0.25.

Line 1: 4x-6y= -6 Line 2: -3y=2x+5 Line 3: y= -3/2x-5 Are line 1 and 2: parallel, perpendicular, or neither? Are line 1 and 3: parallel, perpendicular, or neither? Are line 2 and 3: parallel, perpendicular, or neither?

Answers

Answer:

Line 1 and line 2 are neither parallel nor perpendicular

Line 1 and 3 are perpendicular to each other

Line 2 and line 3 are neither parallel nor perpendicular

Step-by-step explanation

Given the equations of the line

Line 1: 4x-6y= -6

Line 2: -3y=2x+5

Line 3: y= -3/2x-5

Before we can know which line is parallel or perpendicular to each other, we need to find their slope first

For line 1:

4x-6y= -6

Write in standard form y = mx+c

-6y = -4x - 6

Divide through by -6

-6y/-6 = -4x/-6 - 6/-6

y = 2/3 x + 1

The slope of line  1 is 2/3

For line 2:

-3y=2x+5

Divide through by -3

-3y/-3 =2x/-3 + 5/-3

y = -2/3 x - 5/3

The slope of this line is -2/3

For line 3:

y= -3/2x-5

this is already written in standard format. The slope of this line is -3/2

Note that for two lines to be parallel, they must have the same slope

For two lines to be perpendicular, the product of their slope must be -1

For line 1 and line2, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular

For line 1 and line 3, we can see that their slope are not the same but the product of their slope is -1 (2/3 * -3/2 = -1), hence both lines are perpendicular.

For line 2 and line 3, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular

PLEASE HELP!! WILL MARK BRAINLIEST!!!!

Answers

Answer:

Choice A (-18.75 or -75/4)

What is the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1)?
A. O y=-3x+
B. O y = 2x - 3
CO y = 2x
DO y = 2x + 3

Answers

Answer:

The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

[tex]y=2x+3[/tex]

Hence, option D is true.

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

y = 2x - 1

comparing with the slope-intercept form y = mx+b

Hence, the slope of the line y = 2x - 1 is: m = 2

We know that the parallel lines have the same slopes.

Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 2 and the point (-1, 1)

[tex]y-1=2\left(x-\left(-1\right)\right)[/tex]

[tex]y-1=2\left(x+1\right)[/tex]

Add 1 to both sides

[tex]y-1+1=2\left(x+1\right)+1[/tex]

Simplify

[tex]y=2x+3[/tex]

Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

[tex]y=2x+3[/tex]

Hence, option D is true.

‼️‼️‼️ please help fast ‼️‼️‼️

Answers

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

i believe the answer is either A or D

On average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes.

Which absolute value equation can be used to calculate Carter's maximum and minimum time to get ready?

Let x represent the maximum and minimum time.


|x−15|=25

|x+15|=25

|x+25|=15

|x−25|=15

Answers

Answer:

x-25=15 or D

Step-by-step explanation:

I promise that is the answer

6x-8y-x+3y please this is hard

Answers

6x-8y-x+3y

= (6x-x)+(-8y+3y)

= 5x+(-5y)

=5x-5y

Answer:

5x-5y

Step-by-step explanation:

Equation;

6x-8y-x+3y(Group like terms)

Which is going to be;

6x-x-8y+3y

Then you proceed to simplify;

5x-5y

This is the final answer

What is the slope of the line?

Answers

Answer:

y= -x-2

Step-by-step explanation:

Mr. Garza is buying a new lawnmower. The lawnmower sells for $235.75. Sales tax is 8%. What is the total price do the lawnmower including the tax?

Answers

AWNSER: $254.61

Hope this helps, have a great day!

ind an expression for the nth term (t_n) in each of the following​

Answers

Answer:

[tex]\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \ frac{1}{n}}}[/tex]

Step-by-step explanation:

A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,

[tex]\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}[/tex]

When we flip the numbers , we can clearly see that the number are in Harmonic Progression.

That is when we flip the numbers they are found to be in Arithmetic Progression .

And nth term of an Harmonic Progression is :-

[tex]\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}}[/tex]

Hence here

Common difference = 1First term = 1 .

Substituting the respective values,

[tex]\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}[/tex]

Hence the nth term of the given sequence is given by ¹/n .

Answer: 1

Step-by-step explanation:

The function V(x)=650(0.77)^x models the change in yearly value for Anya's cellphone. What was the original value of the cellphone? Does the function represent exponential growth or exponential decay?

Answers

Answer: ↓↓

Step-by-step explanation:

The original value of the cellphone is $650. The function represents an exponential decay because if it was exponential growth, the function would look like this:

[tex]V (x) = 650 (1.77)^{x}[/tex]

Solve the compound inequality and show your solution.
2(x – 14) – x < 7(x + 2) + x ≤ x + 70

Answers

Answer:

-6 x less than or equal to 8

Step-by-step explanation:

someone plssss helppppp i need it finished in like 20 min plsss help

Answers

Answer:

number of guest tickets, g, is 100 tickets

number of student tickets, s, is 125 tickets

Step-by-step explanation:

Given;

total number of tickets sold, t = 225 tickets

cost of each guest ticket,  = $5.5

cost of each student ticket, = $3.5

total cost of the tickets, Tc = $987.5

number of guest tickets = g

number of student tickets, = s

g(5.5) + s(3.5) = 987.5 ------- (1)

g + s = 225 ----------- (2)

From equation (2); s = 225 - g

Substitute the value of g in equation (1)

5.5g + 3.5(225 - g) = 987.5

5.5g + 787.5 - 3.5g = 987.5

5.5g - 3.5g = 987.5 - 787.5

2g = 200

g = 200 / 2

g = 100 tickets

Then, s = 225 - g

s = 225 - 100

s = 125 tickets

In May 2007, the price of crude oil was at 61$ per barrel. A year later it was at 126$ per barrel. So ,If the price of the oil continued to climb at this rate , will barrel 1 have cost more than 200$ in December 2008? answer using ax+by=c​

Answers

Answer:

Yes, it will cost $204.30.

Step-by-step explanation:

Given that in May 2007 the price of a barrel of crude oil was $ 61, and a year later it rose to $ 126, to determine the rate of increase we must perform the following calculation:

61 = 100

126 = X

(126 x 100) / 61 = X

206.55 = X

206.55 - 100 = 106.55

Therefore, a barrel of crude oil rose 106.55% in one year, which implies a rise of 8.87% per month (106.55 / 8.87). Given that December is 7 months apart, maintaining this average increase, the price of a barrel of crude oil in December 2008 arises from the following calculation:

8.87 x 7 = 62.15

126 x 1.6215 = 204.30

Therefore, maintaining this average increase, as of December 2008 a barrel of crude oil will cost $ 204.30.

Simplify 4x4-6x2+4-2x4+7x-10.

Answers

Answer:

7x-10

Step-by-step explanation:

4x4-6x2+4-2x4+4x7x-10=-70

12x+9y=-36 4x+3y=-12 graphed

Answers

Answer:

graph attached

Step-by-step explanation:

12x+9y=-36

(12x+9y)/3=-36/3

4x+3y=-12

2 functions has the same value, they are identical line

At a fundraiser, a school group charges $6 for tickets for a "grab bag." You choose one bill at random from a bag that contains 39 $1 bills, 19 $5 bills, 3 $10 bills, 7 $20 bills, and 3 $100 bills. Is it likely that you will win enough to pay for your ticket?

Answers

Answer:

no, the probability is only about 18%

Step-by-step explanation:

there are total of 71 bills of varying denominations in the bag

you need to select a bill that is $10 or more to cover your $6 expense; therefore, P($ ≥ 10) = 3 + 7 + 3 / 71  or 13 /71, about 18%

please help me on this.​

Answers

Answer:

here

Step-by-step explanation:

so most of the time it would land on brown only 5% of the time would it land on red and the other there is a 0% chance

Mariah drank 2/3 cup of orange juice. A serving size of is 5/6 cup. What part of a serving did she drink?​

Answers

Answer:

80% of a serving

Step-by-step explanation:

First, convert  2/3 into 6ths

2/3 = 4/6

She drank 4 of 5 6ths

This is 80% of a serving

80% or 4/6 of the serving

given f(x) = -3x - 1, solve for f(x)= -4​

Answers

Answer:

its 11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

x= -4

f(x)= -4

f(-4)= -3(-4) -1

=11

pls help i’m not good at this lol

Answers

Answer:

You selected the right one, 12^5 :)

Hello! If you multiply the exponents you would get A.
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