Noah washed 16 cars and earned $213 for the team. He charged $18 per car wash. Write a linear equation in point-slope form representing the amount of money y, a player could raise for washing x, cars.

Answers

Answer 1

The linear equation in point-slope form representing the amount of money y a player could raise for washing x cars is: y - 213 = 18(x - 16), and in slope-intercept form: y = 18x - 75.

To write a linear equation in point-slope form representing the amount of money, y, a player could raise for washing x cars, we need to determine the slope and the y-intercept.

Given that Noah washed 16 cars and earned $213 for the team, and he charged $18 per car wash, we can set up the equation using the point-slope form:

y - y1 = m(x - x1),

where (x1, y1) is a point on the line and m is the slope.

Using the point (16, 213) and the slope m = 18 (as he charged $18 per car wash), we have:

y - 213 = 18(x - 16).

Expanding and simplifying further:

y - 213 = 18x - 288.

To write the equation in slope-intercept form (y = mx + b), we isolate y:

y = 18x - 288 + 213,

y = 18x - 75.

Therefore, the linear equation in point-slope form representing the amount of money y a player could raise for washing x cars is:

y - 213 = 18(x - 16),

and in slope-intercept form:

y = 18x - 75.

Learn more about point-slope here

https://brainly.com/question/24907633

#SPJ11

Related Questions

Using the quadratic formula to solve

Answers

Answer: Look in picture
Solving Steps:

Someone pls help, I'm giving 14 brainly, this test is literally like my life and I need to pass. So someone pls help me...

Answers

Answer:

$-\sqrt{79}$ ;; irrational

0.253 ;; rational

0.412 ;; rational

$\sqrt[3]{83}$ ;; irrational

Step-by-step explanation:

ywww gl mann!

Please answer the questions. i will give brainiest asap

Answers

The correct answer is that RR’ and SS’ are parallel to each other.

Answer:

RR' || SS'

Step-by-step explanation:

because if you look at the image you see that RR' is parallel to SS'

Can anyone help me with this one

Answers

Answer:

12n+9=93

solve for n

12n=93-9

n=84/12

n=7

therefore, Mr. copper bought 7 tickets.

what's the y-intercept f(x) = (x+1)(x-9)(x-1)^2

Answers

Answer:

The y-intercept y = -9

Step-by-step explanation:

Given the function

$f\left(x\right)\:=\:\left(x+1\right)\left(x-9\right)\left(x-1\right)^2$

Determining the y-intercept of the function

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

so substitute x = 0 in the function

$y\:=\:\left(x+1\right)\left(x-9\right)\left(x-1\right)^2$

$y\:=\:\left(0+1\right)\left(0-9\right)\left(0-1\right)^2$

$y=1\cdot \left(-9\right)\left(0-1\right)^2$

$y=1\cdot \left(-9\right)\cdot \:1$

$y=-1\cdot \:9\cdot \:1$

$y=-9$

Therefore, the y-intercept y = -9

Which is a complete list of factors of each term in the expression 15 + 20 x? 15: 1, 3, 5, 15 20x: 1, 2, 4, 5, 10, 20, x 15: 1, 3, 5, 15 20x: 1, 2, 4, 5, 10, 20 15: 3, 5 20x: 4, 5, x 15: 1, 3, 5 20x: 1, 2, 4, 5, 10, x

Answers

Answer:

15: 1 3 5 15

20: 1 2 4 5 10 20

Step-by-step explanation:

This assumes you are only factoring the coefficients of the expression. Using this assumption, we simply create a list of factors of the coefficients.

15 -> 1 * 15, 3 * 5 --> 1 3 5 15

20 -> 1 * 20, 2 * 10, 4 * 5 --> 1 2 4 5 10 20

If you don't assume factoring of just the coefficients, then 20x factors

20x: 1 2 4 5 10 20 x

Cheers.

Answer:

Step-by-step explanation:

what percentage of persons who lose weight are able to maintain it for more than a year?

Answers

Answer: 20%

Step-by-step explanation:

A sign at a store reads, 4 shirts for &52.50. What’s the unit rate?

Answers

Answer:

Exactly $13.125 (approx $13.13)

Step-by-step explanation:

52.50 divided by 4 is 13.125. 1 shirt costs exactly $13.125. Round the half cent up to a whole cent.

Find the value of x and measure of each labeled angle.

Answers

Answer:

6x-45°=4x+5°(vertically opposite angles are equal)

6x-4x=5+45

2x=50

x=50/2

x=25

hope it helps you!

Answer:

x=25

6x-45=6×25-45=105

4x+5=4×25+5=105

Step-by-step explanation:

6x-45=4x+5(Reason:- vertically opposite angle)

or, 6x-4x=45+5

or,2x=50

or,x=25

If one card is drawn from a deck, find the probability of getting these results.Enter your answers as fractions or as decimals rounded to 3 decimal places.(a) A black 4P (black 4) =

Answers

A deck has a total of 52 cards.

The probability of getting a black 4 is then:

$\begin{gathered} P(\text{black 4)= }\frac{1}{52} \\ P(\text{black 4)= }0.019 \end{gathered}$

Help plssssssssss? What’s the answerrrr

Answers

Answer:

621200 mg

1.36664 Lb

Step-by-step explanation:

Given;

Cullinan diamond weighed 3106 carats.

1 Carat - 0.2 grams

Question to Answer;

How much does the diamond weigh in milligrams/pounds?

Solve;

Since 1 carat = 0.2 grams

1g = 1000 mg

1g = 0.0022 lb

Thus,

3106 ct = 0.2 * 3106g = 6212g

621.2g = 621.2 * 1000 mg = 621200 mg

621.2g = 621.2 * 0.0022 lb = 1.36664 lb

[RevyBreeze]

Need Help here Please!

Answers

Answer:

Step-by-step explanation:

To solve the given equation $\sf x - y = 4 \\$, we can perform the following calculations:

a) To find the value of $\sf 3(x - y) \\$:

$\sf 3(x - y) = 3 \cdot 4 = 12 \\$

b) To find the value of $\sf 6x - 6y \\$:

$\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\$

c) To find the value of $\sf y - x \\$:

$\sf y - x = - (x - y) = -4 \\$

Therefore:

a) The value of $\sf 3(x - y) \\$ is 12.

b) The value of $\sf 6x - 6y \\$ is 24.

c) The value of $\sf y - x \\$ is -4.

$\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}$

♥️ $\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}$

Help please!!!!!!!!!!!!

Answers

Answer:

what Will You do there? locate fractions?

rewrite the expression in terms of ln(49) and ln(9)

ln(9/7)

Answers

Answer:

To convert base A log to base B log, use the formula:

logAx = (logBx)/(logBA)

So, to convert log134 to natural logs (base e).

log134 = (loge4)/(loge13) = ln4/ln13

Step-by-step explanation:

Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф

Answers

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B) = (A ∩ B) (Addition to zero identity property)

∴ A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅ ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

a survey of 20 colleges found that seniors graduated with an average of $12,000 in debt from student loans. the debt was normally distributed with a standard deviation of $3200. find the probability that a senior graduated owing more than $16000.

Answers

The probability that a senior graduated owing more than $16,000 in student loan debt is approximately 0.1056 or 10.56%.

What is the likelihood of a senior graduating with over $16,000 in student loan debt?

To find the probability that a senior graduated owing more than $16,000 in student loan debt, we can use the standard normal distribution and z-scores.

Let's denote X as the student loan debt of a senior. Given that the debt is normally distributed with a mean (μ) of $12,000 and a standard deviation (σ) of $3,200, we want to calculate P(X > $16,000).

First, we need to calculate the z-score, which measures the number of standard deviations that $16,000 is away from the mean:

z = (X - μ) / σ

Plugging in the values:

z = ($16,000 - $12,000) / $3,200

z ≈ 1.25

Next, we find the area under the standard normal curve to the right of the z-score of 1.25. This represents the probability of a senior having a debt of $16,000 or less.

P(X ≤ $16,000) = 0.8944

To find P(X > $16,000), we subtract this probability from 1:

P(X > $16,000) = 1 - P(X ≤ $16,000)

P(X > $16,000) ≈ 1 - 0.8944

P(X > $16,000) ≈ 0.1056

Therefore, the probability that a senior graduated owing more than $16,000 in student loan debt is approximately 0.1056 or 10.56%.

Learn more about Probability

brainly.com/question/31120123

#SPJ11

for manual cutting operations, the travel angle should be a push angle of ____.

Answers

The ideal travel angle for manual cutting operations is a push angle of 30-45 degrees.

Explanation: When performing manual cutting operations, it is important to consider the travel angle, which refers to the direction in which the cutting tool moves in relation to the workpiece. The recommended travel angle for most cutting operations is a push angle of 30-45 degrees. This means that the cutting tool should be positioned at an angle, pushing forward against the workpiece as it cuts. This angle allows for optimal cutting efficiency and control.

A push angle within this range ensures that the cutting force is distributed evenly, minimizing the risk of tool slippage or workpiece damage. It also helps to maintain good visibility of the cutting path, reducing the chances of errors or accidents. Additionally, the push angle allows the operator to exert sufficient downward pressure on the cutting tool, aiding in effective material removal. Overall, a push angle of 30-45 degrees is considered the most effective for achieving accurate and efficient manual cutting operations.

To learn more about angle click here, brainly.com/question/30147425

#SPJ11

Tìm x biết: x+5x^2=0
x+1=(x+1)^2

Answers

Answer:

what type of question is this?

Mrs. cho wrote the following problem on the board. problem: startfraction 1 over x squared endfraction minus startfraction 2 over y endfraction divided by y minus 2 x squared step 1: startfraction y over x squared y endfraction minust startfraction 2 x squared over x squared y endfraction divided by y minus 2 x squared step 2: startfraction y minus 2 x squared over x squared y endfraction divided by startfraction y minus 2 x squared over 1 endfraction step 3: startfraction y minus 2 x squared over x squared y endfraction times startfraction 1 over y minus 2 x squared endfraction what should mrs. cho do next?
a. find a common denominator for the two fractions.
b. divide the numerator and denominator of the first fraction by x2 and y.
c. multiply the numerators, multiply the denominators, and then simplify.
d. multiply the first fraction by the reciprocal of the second fraction.

Answers

The option c is correct. The next step she will do multiply the numerator and denominators and then simplify.Then she will solve all equation and find result.

what is fractional equation?

An equation which has an unknown in the denominator of one or more terms.They often have variables in the numerator as well.since fractions can be in the ratios.We can recognize fraction by slash that is written between numbers and variables.

what is expression?

An expression is a combination of symbols that are formed in accordance with dependent rule.In math, expression consist of at least two numbers or variables and at least one arithmetic operation.it is possible to multiply,divide,subtract and add.

Now we solve given problem

1/x^2 - 2/y divide y-2x^2

step 1; y/x^2y - 2x^2/x^2y divide y-2x^2

step2;y-2x^2/x^2y divide y-2x^2

step 3; y-2x^2/x^2y divide y-2x^2

Next step she would be multiply the numerators and denominators.

so we have

y-2x^2/ (x^2y)(y-2x^2)

since y-2x^2 is common in the numerator and denominator. so it divides itself.thus resulr will be 1/ x^2y

To learn more about expression visit;

https://brainly.com/question/14083225

#SPJ4

Please answer all 3 for 20 points

Answers

7
6
1/16
Hope this helps

1. 7
2. 6
3. 1/16
Here you go

Jack and Jane leave their home traveling in opposite directions on a straight road. Jack drives 20 mph faster than Jane. After 4 hours, they are 250 miles apart. What Jack's rate is and what Jane's rate is

Answers

Answer:

Jane's rate is 21.25 mph.

Jack's rate is 41.25mph

Explanation:

Let x represent Jane's speed.

Jack's speed will be x+20.

Their combined speed is;

$x+x+20=2x+20$

After 4 hours, their combined distance covered is 250 miles;

$\begin{gathered} 4(2x+20)=250 \\ 8x+80=250 \end{gathered}$

solving for x;

$\begin{gathered} 8x=250-80 \\ 8x=170 \\ x=\frac{170}{8} \\ x=21.25\text{ mph} \end{gathered}$

Jane's rate is 21.25 mph.

Since jack's rate is 20 mph faster than Jane's rate.

Jack's rate is;

$\begin{gathered} 21.25+20 \\ =41.25\text{mph} \end{gathered}$

Jack's rate is 41.25mph

Which point on the y-axis lies on the line that passes through point g and is parallel to line df?.

Answers

The point on the y-axis that lies on the line passing through point g and is parallel to line df is (0, 9).

To find the point on the y-axis that lies on the line passing through point g and is parallel to line df, we first need to determine the slope of line df. Since the line is parallel to the new line passing through point g, the slope will be the same.

Once we have the slope, we can use point-slope form to find the equation of the new line. Then, we can set x=0 (since we want to find the point on the y-axis) and solve for y to find the y-coordinate of the point.

So, let's begin.

First, let's find the slope of line df. We can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are any two points on the line. We can use the points d and f, which are (5, 3) and (10, 8), respectively.

slope = (8 - 3) / (10 - 5) = 1

So the slope of line df is 1.

Now, using point-slope form, we can find the equation of the new line passing through point g (which is (-2, 7)) and having a slope of 1. The formula for point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is any point on the line (in this case, point g). Substituting in our values, we get:

y - 7 = 1(x - (-2))
y - 7 = x + 2
y = x + 9

So the equation of the new line is y = x + 9.

To find the point on the y-axis that lies on this line, we set x=0:

y = 0 + 9
y = 9

So the point on the y-axis that lies on the line passing through point g and is parallel to line df is (0, 9).

to learn more about equation click here:

brainly.com/question/2228446

#SPJ11

-5/6 as decimal show work

Answers

Answer:

0.83

Step-by-step explanation:

Divide: -5 / 6 = -0.83333333

Answer:

Today : Saturday, 07 November 2020

Hour: 14.40 WIB (Indonesia)

_______________________________

-5/6 = -0,83 or - 0,833

6/-5 = -0,833

__-

___-

____-

etc

NEED ANSWERED ASAP PLEASE
sin(0)= -4 sqrt 29 / 29

Answers

Answer:

Is - 4

Step-by-step explanation:

29/29 cancel it out

so it will leave -4 out

Write the equation of the line that passes through the points (8, -1) and (2, -5) inpoint-slope form.

Answers

First, we find the slope using the given points and the formula below

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-5-(-1)}{2-8}=\frac{-5+1}{-6}=\frac{-4}{-6}=\frac{2}{3}$

Then, we use the point-slope formula to find the equation

$y-y_1=m(x-x_1)_{}$

Let's replace the point (8, -1) and the slope 2/3.

$\begin{gathered} y-(-1)=\frac{2}{3}(x-8) \\ y+1=\frac{2}{3}x-\frac{16}{3} \\ y=\frac{2}{3}x-\frac{16}{3}-1 \\ y=\frac{2}{3}x+\frac{-16-3}{3} \\ y=\frac{2}{3}x-\frac{19}{3} \end{gathered}$Hence, the equation in point-slope form is$y+1=\frac{2}{3}(x-8)$

There are 120 calories in a 3/4 cup serving of cereal how many calories are there in 6 cups of cereal

Answers

Answer:

960 I believe.

Step-by-step explanation:

My car travels at 600 miles in 4 hours, my is my cruising speed. This is a science question but it has math so please help

Answers

Answer:

yikes 150mph

Step-by-step explanation:

What is 3 2/5 divided by 3/4 simlified.

Answers

answer: 4.53 the 3 is repeating

4.53 the three is repeating

8. If a || b, m/2 = 63°, and m29 = 105°, find the measure of each angle please!! help neeeded need angles A through L pls answer correctly

Answers

The measure of each angle is given below:

a. m<1 = 105° - 63° m<1 = 42°b. m<3 + m<2 + m<1 = 180° m<3 = 75°c. m<4 = m<1 m<4 = 42°d. m<5 = m<2 m<5 = 63°e. m<6 = m<3 m<6 = 75°

What is an Angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.

Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

The measure of angles {contd.} is:

f. m<7 = m<9 m<7 = 105°g. m<8 = m<6 m<8 = 75°h. m<10 = m<8 m<8 = 75°i. m<11 = m<4 m<11 = 42°j. m<12 = 180° - m<11 m<12 = 138°k. m<13 = m<11 m<13 = 42°l. m<14 = m<12 m<14 = 138°

Answers

Simplified: 102/25
Mixed number: 4 2/25

Step-by-step explanation:

As a mixed fraction:

.08 is 8/100.

$4 \frac{8}{100} $

As an improper fraction:

$ \frac{(100 \times 4) + 8}{100} $

$ \frac{408}{100} $

Simplify by dividing the numerator by the greater common factor of 408 and 100, 4.

$ \frac{102}{25} $

Other Questions