y = mx + b solve for m (literal equations)

Answers

Answer 1
y = mx + b...subtract b from both sides
y - b = mx...now divide both sides by x
(y - b) / x = m

Related Questions

28Students were surveyed and the results showed that of 18 of them loved to play video games what percentage of the students loved to play video game.

Answers

Alright, so 18 out of (divided by) 28 students loved to play videogames. That equals around 0.64, and the percentage is therefore around 64%

square root of 4x squared times square root of 20x squared

Answers

isn't square root of 4X =4X squared and the square root takes away the square and leaves it as 4Xso there for 20 squared and rooted=20X thus making it 4X times 20X makingX=80

Shannon wants to buy cupcakes for her friend's birthday party. The bakery she goes to sells cupcakes for $3.50 each. The bakery also sells gift cards for $2.00, and Shannon decides to buy one card. If Shannon buys 10 cupcakes, how much money does she spend at the bakery?

Answers

So I think it would be $35 because if you multiply $3.50 by ten then it would be $35
ten times $3.50 is 35.00 plus $2.00 for one gift card, so the answer is $37.00

In ABC, C is a right angle, what is the measure of x?



A. 22.4°
B. 67.6°
C. 20.9°
D. 69.1°

Answers

B is the right answer

Answer:

Option B. 67.6°

Step-by-step explanation:

In the given triangle ABC angle C is the right angle, side AB = 21 and side AC = 8.

We have to find the measurement of angle A.

Now from cosine rule we can write

[tex]CosA = \frac{Base}{hypotenuse}[/tex]

Here Base in the corresponding side of the angle A that is 8 and hypotenuse is 21.

Now we put the values

Cos x = 8/21 = 0.3809

[tex]x=cos^{-1}0.3809[/tex]

Or x = 67.61°

Therefore measurement of angle A or x = 67.6° is the answer.

One third of a number is three more than one fourth the same number. What is the number.

Answers

(1/3)x=3+(1/4)x
is the same as
(4/12)x=(36/12)+(3/12)x
subtract the 3/12x from each side
(1/12)x=36/12
multiply by 12 on each side
x=36

Michelle listed her three children as equal beneficiaries on her life insurance policy. If she has a $400,000 policy, how much will each receive in the event of her death?

Answers

The beneficiaries received by each of Michelle children is $133333.3.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Michelle listed her three children as equal beneficiaries on her life insurance policy.

Here, insurance amount received by each is

400000/3

= $133333.3

Therefore, the beneficiaries received by each of Michelle children is $133333.3.

To learn more about the unitary method visit:

brainly.com/question/22056199.

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Final answer:

Each of Michelle's three children would receive $133,333.33 from her $400,000 life insurance policy if they are listed as equal beneficiaries.

Explanation:

Michelle has a $400,000 life insurance policy and has listed her three children as equal beneficiaries. To calculate how much each child will receive in the event of her death, we divide the total policy amount by the number of beneficiaries.

$400,000 ÷ 3 = $133,333.33

Therefore, each child would receive $133,333.33 from the life insurance policy. In this scenario, the division of the life insurance policy ensures an equal distribution among Michelle's three children, with each child entitled to $133,333.33. This approach maintains fairness in the allocation of the financial benefit, aiming to provide an equitable share to each beneficiary.

The expression -50 + 100 represents the balance in dollars of a bank account after X months what is the rate of change in dollars per month of the bank account balance

Answers

The equation of the straight line is expressed using the general formula:
y = mx + c
where c represents the y-intercept and m represents the slope of the line which is also known as the rate of change

For the given equation: -50x + 100
Comparing this equation to the general formula, we will find that the rate of change of the dollars in the account balance is -50

Yup the answer is -50 give the other person brainly they deserve it


write an expression to model the following phrase an hourly wage of 13.50 plus a 75 bonus

Answers

The answer is 75+13.5x where x is the amount of hours worked

40 POINTS

Which ordered pair is a solution to the system of inequalities?

Check image below.

Answers

solve for the 2nd equation with the answers:

A. 1+3 =4  ( not less than 4)

B. 0+4 = 4 ( not less than 4)

C. -3 + 5 = 2 ( less than 4) & y is >-2

D. -2 +-3 = -5 ( less than 4) but -3 is <-2

 so answer is C



one serving of granola provides 4% of the protien you need daily. you must get the remaining 48 grans of protien fron other scources. how many grams of protein do you need daily?

Answers

it fifty that would be the answer

If the product of two numbers is zero then at least one of the numbers must be zero

Answers

This statement is true.

If the coefficient of static friction between the coffee cup and the roof of the car is 0.21, what is the maximum acceleration the car can have without causing the cup to slide? ignore the effects of air resistance.

Answers

It helps to use a graph. but let me quickly work it out

Can you can help me with 6.7 round the decimal the nearest whole number

Answers

If the number on the right of the number you're trying to round is greater than 5, round it up. If the number on the right of the number you're trying to round is less than 5, round down.
So you're trying to round to the nearest whole number, look on the number on the right, it's bigger than 5, it's a 7. Therefore, round the whole number up so it would be 7.

the number to the right of the deciml point, 7 is greater than 4, so the number would be rounded up

 so 6.7 would round to 7.0

How to do the how long will it take two people to paint a room problem?

Answers

Two people painting a room: 
Let's example: Mark takes 3 hours, Jane takes 5 hours, to paint the same room.

Let x= the amount of the room each person paints in a given amount of time. 
So, Mark's contribution is represented by x/3
Jane's contribution is represented by x/5
Together, they paint one entire room, so our equation will equal...1.
[Our working equation] x/3 + x/5 = 1
[Find common denominator] 5x/15 + 3x/15 = 1
[add fractions] 8x/15=1
[solve for x] 8x=15
x=15/8 or 1 7/8 hours. They can paint the room together in 1 7/8 hours.

Which expression illustrates the associative property of addition?

A. (3 + 19) – 12 = (3 + 12) – 19

B. 3 + (19 – 12) = 3 + (19 + 12) (Not B)

C. (3 + 19) – 12 = 3 + (19 – 12)

D. 3 + (19 –12) = 3 – (19 + 12)

Answers

The associative property of addition states that (a + b) + c = a + (b + c)

Basically, we can move around the parentheses.

The only option that fits this description is C.

Answer:

C.(3+19)-12=3+(19-12)

Step-by-step explanation:

We  have to find an expression which illustrate the associative property.

We know that associative property of addition  of three numbers a, b and c

[tex]a+(b+c)=(a+b)+c[/tex]

A.(3+19)-12=(3+12)-19

(3+19)-12=10

(3+12)-19=-4

It is not associative property of addition because both sides are not equal.

B.3+(19-12)=3+(19+12)

3+(19-12)=10

3+(19+12)=34

It is false because both sides are not equal .

C.(3+19)-12=3+(19-12)

(3+19)-12=10

3+(19-12)=10

It is illustrate the associative property of addition.

D.3+(19-12)=3-(19+12)

3+(19-12)=10

3-(19+12)=-28

Both sides are not equal . Hence , it is false.

Reduce to simplest form.

3 6/2 × 2 4/5

2 5/6 × 2 7/9

2 2/5 × 4 3/4

1/2 × 3

19/20 × 14

3/8 ×21

3/8 ×12

Answers

convert 3 6/2 to an improper fraction so: 12/2
convert 2 4/5 to 14/5 
multiply the numerators of the improper fractions so 12*14, which is 168.
multiple the denominators so 2*5, which is 10.
the new fraction is 168/10, so you divide 168 divided by 10, which is 16.8, or 16 4/5.

I really need help with #4

Answers

The mean is 65 and the median is 15

Enter the solution to the inequality in the box.



8+4(x−3)+3x≤24

Answers

8+4x-12+3x<=24
-4+7x<=24
7x<=28
X<=4

Answer:  The required solution is [tex]x\leq4.[/tex]

Step-by-step explanation:  We are given to solve the following inequality :

[tex]8+4(x-3)+3x\leq24~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To solve the given inequality, we must find the value of the unknown variable x.

From inequality (i), we have

[tex]8+4(x-3)+3x\leq24\\\\\Rightarrow 8+4x-12+3x\leq24\\\\\Rightarrow 7x-4\leq24\\\\\Rightarrow 7x\leq24+4\\\\\Rightarrow 7x\leq28\\\\\Rightarrow x\leq\dfrac{28}{7}\\\\\Rightarrow x\leq4.[/tex]

Thus, the required solution is [tex]x\leq4.[/tex]

Lori makes $64,000 each year as an accountant. At Christmas she was given a 12% bonus. What was Lori's total income for the year?

Answers

12% = 0.12

64000 x 0.12 = 7680

64000 + 7680 = $71,680

Julie is selling candy bars to raise money for new band uniforms. Candy bar x sells for $2 and candy bar y sells for $3. The number of y candy bars Julia sells must be greater than or equal to three times the number of x candy bars she sells. She has at most 36 candy bars to sell. What is the maximum revenue she can make? $36 $99 $108 $216

Answers

In this question, you are asked how much the maximum revenue. Since candy Y sold for a higher price than candy X, that means you have to sell candy Y as much as possible.
The number of candy Y must be >= 3 times candy X. Since this won't limit candy Y selling, then you can convert all 36 candy into candy Y and 0 candy X

36 candy (Y) >= 0 candy(X) ----> the requirement is met.

The revenue would be 36 candy Y * $3/candy Y= $108

Correct Answer.

$36

$99 <---

$108

$216

How many terms are in the expression shown below?
a2 - ab + 8b + b2 - 1

2

3

4

5

Answers

In Mathematic, one term is a number, leter or both separated by '+' or '-'

The expression have five terms.

The tangent of a 45 degree angle is _____.

1
0
1/2
-1

Answers

tan 45 = 1

your answer is 1
The answer is 1

reason to this being 1.. is 45 degrees is pi / 4 
tan is composed of sin(x) over cos(x) which angels are sqrt 2 over 2 
when you divide them by each other is the same as multiplying by their 
reciprocals making the answer 1.

hope this helps and give brainliest, id appreciate it 

The difference of the squares of twenty and thirteen.

put in numerical form

Answers

20 squared = 400
13 squared = 169
 400
-139

(231)

The difference between the squares of twenty and thirteen will be 234.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

Square of twenty = 20²

20² = 20 × 20 = 400

Square of thirteen = 13²

13² = 13 × 13 = 169

Difference ⇒ 400 - 169 = 231.

Hence "The difference between the squares of twenty and thirteen will be 234".

For more about subtraction,

https://brainly.com/question/1927340

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in the chorus there is 12 more girls than boys there 32 students in the chorus how many boys are there and how many girls are there

Answers

There are 10 boys and 22 girls

Hope this helps!! Message me with questions

Write an equation for the line, given that m=3 and the y-intercept is (0,2)

Answers

Answer:

The equation of required line is y=3x+2.

Step-by-step explanation:

The slope intercept form of a line is

[tex]y=mx+b[/tex]            ..... (1)

where, m is slope and b is y-intercept.

We need to find the equation of line whose slope is m=3 and the y-intercept is (0,2).

Substitute m=3 and b=2 in equation (1), to find the equation of required line.

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

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

Therefore the equation of required line is y=3x+2.

The equation for the line hose gradient/slope is 3 and a y-intercept of (0, 2) is y = 3x + 2

Further Explanation Equation of a straight line  Equation of a straight line is written in the form y=mx+ c, where m and c are numbers. m is the gradient of the line while c is the y-intercept.

Equation of a straight line can be found when given:

A slope of the line and one point where the line is passing through  Two points where the line is passing through A slope of the line and the y-intercept  Double intercept  When an equation of a straight is written in the form of x/a + y/b = 1 Where a is the x-intercept and b is the y-intercept  

In this case;

The equation of the straight line with gradient m, passing through a point (x1,y1) is  

y-y1 = m(x-x1)

We are given the y-intercept as (0, 2) and the slope is 3  

Therefore;  

To get the equation, we take another point (x,y)  

(y-2)/(x-0) = 3

y-2 = 3x  

y= 3x + 2

Keywords: Equation of a straight line, y-intercept,  

Learn more about:  Equations of a straight line: https://brainly.com/question/11828095 Slope of a straight line: https://brainly.com/question/13060178  

Level: High school  

Subject: Mathematics  

Topic: Equation of a straight line  

I've been trying to solve this, but I have no idea how.






-1/2x + 3 = -x + 7

Answers

So, first, you add x to both sides of the equation
Second, you subtract 3 from both sides of the equation
Last, you would multiply both sides of the equation by 2
It would look like this.....
-1/2x+3=-x+7
1/2x+3=7
1/2x=4
2*(1/2)=(2)*4
x=8 
-1/2x + 3 = -x + 7

We're simply just trying to get "x" by itself.

So, in order to do this, we must move anything that doesn't have "x" in it to the other side.

SO, subtract 3 from both sides.

-1/2x = -x + 7 - 3

Then, add x to both sides.

-1/2x + x = 7 - 3

Then, simplify.

1/2x = 4

Multiply both sides by 2.

2 · 1/2x = 4 · 2

Simplify.

x = 8

~Hope I helped!~

One moving company charges $800 plus $16 per hour. another moving company charges $720 plus $21 per hour. at what number of hours will the charge be the same and what is the charge?

Answers

Hour 16; $1056
Hope this helps :)

what is the property of 7(3+4y)=21+28y

Answers

Associative property

If p: It is not cold. What is ~ p?
it is cold
it is mildly cold
it depends
none of the above

Answers

The ~ (which is called a "tilde") symbol means to negate the proposition.

So, the answer is "it is cold".

Answer:

"it is cold"

Step-by-step explanation:

Find the coordinates of the missing endpoint if B is the midpoint of AC. C(-5,4), B(-2,5) I need the steps and answer pls and ty

Answers

[tex]\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ x}}\quad ,&{{ y}})\quad % (c,d) C&({{ -5}}\quad ,&{{ 4}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)[/tex]

[tex]\bf \left( \cfrac{-5+x}{2}~,~\cfrac{4+y}{2} \right)=\stackrel{B}{(-2,5)}\implies \begin{cases} \cfrac{-5+x}{2}=-2\\\\ -5+x=-4\\ \boxed{x=1}\\ ----------\\ \cfrac{4+y}{2}=5\\\\ 4+y=10\\ \boxed{y=6} \end{cases}[/tex]

The coordinates of the missing endpoints (1,6) and can be determined by using the midpoint formula.

Given :

B is the midpoint of AC. Points  --  C(-5,4), B(-2,5)

The following steps can be used in order to determine the coordinates of the missing endpoint:

Step 1 - According to the given data, points C(-5,4) and B(-2,5).

Step 2 - The mid-point formula is given below:

[tex]\rm x = \dfrac{x_1+x_2}{2}[/tex]

[tex]\rm y = \dfrac{y_1+y_2}{2}[/tex]

Step 3 - Let the endpoint be (x,y).

Step 4 - Now, substitute the values of the points in the above formula.

[tex]\rm -2= \dfrac{-5+x}{2}[/tex]

[tex]\rm 5 = \dfrac{4+y}{2}[/tex]

Step 5 - Simplify the above expression.

x = 1

y = 6

For more information, refer to the link given below:

https://brainly.com/question/10651868

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