Factor out the coefficient of the variable term.
The expression 1.5y – 6 factored is

Answers

Answer 1

Answer:y=4

Step-by-step explanation: Simplifying

1.5y + -6 = 0

Reorder the terms:

-6 + 1.5y = 0

Solving

-6 + 1.5y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 1.5y = 0 + 6

Combine like terms: -6 + 6 = 0

0 + 1.5y = 0 + 6

1.5y = 0 + 6

Combine like terms: 0 + 6 = 6

1.5y = 6

Divide each side by '1.5'.

y = 4

Simplifying

y = 4

Answer 2

The equivalent equation, if 6 is factored out from the expression is 6(0.25y - 1)

Given a linear equation y = mx + b where b is the constant.

Given the linear equation f(y) = 1.5y - 6, we can see that 6 is the constant in the expression.

Factoring out 6 from the expression

[tex]f(y) = 1.5y-1.6\\f(y)=6(\frac{1.5y}{6}-\frac{6}{6} )\\f(y)=6(\frac{0.25y}{1} -1)\\f(y) = 6(0.25y-1)[/tex]

Hence the equivalent equation, if 6 is factored out from the expression is 6(0.25y - 1)

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Related Questions

Math! Help please!
A B C or D?

Answers

Answer:

B

Step-by-step explanation:

a proportional relationship is y = constant * x

* = multiplication

here is an inequality: 2x+5>50. explain the steps you would use to solve the inequality for x. what would the graph look like

Answers

Answer:

Step-by-step explanation: 2 plus 5

7 <50

Answer:

x = 22.5

Step-by-step explanation:

2x + 5 > 50.

We do inverse operations sooo:

2x + 5 - 5 > 50 - 5.

50 - 5 = 45.

Then we do 2x ÷ 2 and 45 ÷ 2.

45 ÷ 2 = 22.5.

To check our answer to see if its right we do 22.5 x 2 which equals 45. Then we do 45 + 5 which equals 50. So the sign is wrong it should be greater than or equal to.

Find the value of x in each case:
**AWARDING BRAINLIEST!**

Answers

Answer:

edc≡80°

cba=32.75°

Step-by-step explanation:

A triangle is 180° so for edc you do 180-100= 80°. For cba you do

180-49= 131. Then to get x you do 131÷4= 32.75°

I think this should be the correct answer!

EDC=80 I think, and CBA=32.75 I’m not too sure tho!

I need help overdo! I will give brainlist!

1. It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to talk to school?


2. A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight?

Answers

Answer:

1. 20 (.8) = 16

It takes him 16 minutes to walk to school.  

This is because 80% as a decimal is .8 and you multiply that by how long it takes Person A to walk and you get 16.

2. 65%

Given: Full capacity=200000 litres

Amount of fuel used 130000/200000x100

Solving it, we will get 65%

Step-by-step explanation:

Answer:

1. 16 minutes

2. 65%

Step-by-step explanation:

For question 1: 20 x 0.8 = 16.

For question 2: 130000/200000 = 0.65 = 65%.

Michael decided to make French toast. He finds a recipe that calls for the following ingredients:

FRENCH TOAST
12 slices of bread
4 eggs
1 cup of milk
1 teaspoon of cinnamon

Michael makes a single recipe and shares the food equally among himself AND his four family members. How many slices of French toast does each person receive?

A.Each person gets 2 2/5 slices of French toast.
B.Each person gets 1/2 slice of French toast.
C.Each person gets 2 slices of French toast.
D.Each person gets 12 slices of French toast.
E.Each person gets 5 slices of French toast.
F.Each person gets 5/2 slices of French toast.

Answers

Answer:

The answer is "A" because you would have everyone get 2 pieces and you would give everyone 2/5 which would evenly divide 12 pieces

Im pretty sure it is A! But I still could be wrong. PLease forgive me if im wrong but I tried my hardest. If Im wrong pls correct.

(if correct could I maybe have brainliest? Tysm!)

Thats all. LOL cya

btw don't cheat anymore

                  WINK WINK WINK

lol

whAt rate describes it

Answers

Answer:

the amazing rate

Step-by-step explanation:

1/2

Answer:

the answer is a

Step-by-step explanation:

because the amount of cups is 1/2

the amount of servings is 2/3

Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15…
45, 22.5, 67.5
19, 16, 20
45, 42, 126
40, 37, 111

Answers

45,42,126 it’s times 3 -3 so every time yu times yu minus that number by 3

Answer: 45, 42, 126

Step-by-step explanation:

hope it helps

Which is the best estimate for 6,193 ÷ 48 using compatible numbers.
A. 100
B. 120
C. 150
D. 160

Answers

It would be B. 120 you would usually round up but the closest one to 129.02083 is 130 and since there is no 130 it would be 120

The best estimate for 6,193 ÷ 48 using compatible numbers is 120. Therefore, option B is the correct answer.

Given that, 6,193 ÷ 48.

What is the division?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, the number 6,193 can be rounded off to 6000 and the number 48 can be rounded off to 50.

So, 6,193 ÷ 48

= 6000 ÷ 50

= 120

The best estimate for 6,193 ÷ 48 using compatible numbers is 120. Therefore, option B is the correct answer.

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Answer all for brainliest


Which is greater 1/10 or .09 why?
Which is the least value, .5 or 2/4?
Order from greatest to least, -4/5, -1/2, .25, -.2, 2 1/2

Answers

Answer: 1/10 is greater; niether its equal; 2 1/2, .25, -.2, -1/2, -4/5

Step-by-step explanation:

1/10 is a tenth and .09 is a hunderedth

The map shows the location of four places in a school.


A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library.


Paul's English class is located in the same quadrant as the library. Which of the following could be the coordinates of the English classroom?


A (4, 5)

B(−4, 5)

C (−4, −5)

D (4, −5)

Answers

Answer:

4,-5 is your answer

Step-by-step explanation:

it is correct

A. Because (6,4) has two positive numbers so the answer must have two positives which is A (4,5)

A math test has 12 multiplication problems and 24 division problems.

What is the ratio value of division problems to total problems? [Type your answer as a fraction in simplest form, and use / for the fraction bar.]
help help h e l p

Answers

Answer:

2 : 1

Step-by-step explanation:

24 to 12

divide by 12

2 to 1

its just simplifying

Answer:

2:1

Step-by-step explanation:

1. a machine can scan 12 pages in 3/5 minutes. how many pages can be scanned in 1 minute

Answers

Answer: 20 pages in a minute.

Step-by-step explanation:

12/3=4 pages in 12 seconds because 60/5=12 seconds

4*5=20 pages=60seconds=1 minute

solve the proportion. where necessary, round to the nearest hundredth. 8/2 = x+3/4

Answers

Answer:

x = 13

Step-by-step explanation:

8/2 = (x + 3)/4

~Simplify

4 = (x + 3)/4

~Multiply 4 to both sides

16 = x + 3

~Subtract 3 to both sides

13 = x

Best of Luck!

answer this question pleasee

Answers

Answer:

c) slope= 5 y-intercept=12

Step-by-step explanation:

first you use y2-y1 divided by x2-x1 to find slope

32-22 10

——— = — = 5

4 - 2 2

then you plug what you know into point-slope-form

y-22=5(x-2)

y-22= 5x-10

y= 5x+12

Answer:

C

Step-by-step explanation:

Slope = 5

y-in= 12

Sam rode his bike 7 and one-half miles on Monday, 4 miles on Tuesday, and 6 and one-third miles on Wednesday. How many miles did he ride altogether?

A. 17 and two-fifths
B. 17 and three-fifths
C. 17 and one-sixth
D. 17 and five-sixths

Answers

Answer:

17 and 5/6

Step-by-step explanation:

   7 1/2 mi. + 4 mi. + 6 1/3 mi.

=   7 1/2 mi. + 10 1/3 mi.

1/2 = 6/12

1/3 = 4/12

7 6/12 mi. + 10 4/12 mi.

= 17 10/12 mi.

= 17 5/6 mi.

Answer:

add 7 6 and 4 then add 1 half and 1 third of a mile ( a mile is about 5000 feet)

Step-by-step explanation:

can u simplify 62/354 and if u can help

Answers

31/177 is the answer I’m pretty sure
The answer is 31/177

Find the value of x in each case.

Answers

Answer:

I think its 80 for both. .,.

Hola,

Goodluck! Z:

The answer would be 80

The boundary line on the graph represents the equation
5x + 2y= 6.
Write an inequality that is represented by the graph.

Answers

5x+26< 6 maybe this is the answer
5x + 2y=6 that your answer

Which pair shows equivalent expressions? PLEASE HELP AND DON"T DO FAKE THINGS AND MAKE THEM UP!!!!
2x+10=2(x-5)
-2(x+5)=2x-10)
-2x-10=-2(x+5)
-2(x-5)=-2x-10

Answers

Answer:

The answer would be D I believe.

Step-by-step explanation:

The -2's and the x = 2 so they should be equivalent. But I dont know :/

Answer:

The answer would be C

Step-by-step explanation:

C is the only one that have the same numbers on both sides.

A would be 2x+10=2x-10

B would be -2x-10=2x-10

C would be -2x-10=-2x-10

D would be -2x+10=2x-10

How do I do this?? :(
"Is there only one way to break up a 2-digit number into tens and ones? Explain."

Answers

Yes, to break a 2-digit number into tens and ones it is a simple process. To do it you have to take a number, let's say, 56. We can take the 5, because it has one digit to the right of it, we add one 0 to the right of it. Then we do the 6, which has nothing to the right, so we don't put anything there. 50 and 6. 5 tens and 6 ones.

I'm pretty sure that's the only way. If anyone knows otherwise, please post in the comments.

an arts academy requires there to be 3 teachers for every 51 students and 5 tutors for every 45 students. how many students does the academy have per teacher? per tutor? how many tutors does the academy need if it has 90 students? The academy has ___ students per tutor

Answers

Answer:

17 students per teacher, 9 students per tutor. You need 10 tutors if the school had 90 students.

Step-by-step explanation:

51 students divided by 3 teachers = 17 students per teacher.

45 students divided by 5 tutors = 9 students per teacher.

If there are 9 students per tutor 9 * 10 = 90 so ten tutors

Plz :<
Renting a small truck for the day costs $29.95 plus $0.79 per mile that truck is driven. Ms. Knowles rented a truck for one day and paid $91.57. What is the equation used to model this situation and its solution?

A. 29.95x + 0.79 = 91.57; x = 3.03
B. 0.79x + 29.95 =91.57; x =78
C. 0.79x =121.56; x =153.87
D. 80x +30 =9157; x =114.0875

Answers

it's b. because 0.79 per mile. the key word is per meaning 0.79 and the variable must be together

simplify by combining like terms: 5b + 0.2c + 0.8b

Answers

Answer:

5.8b + 0.2c

Step-by-step explanation:

Original equation:

5b + 0.2c + 0.8b = ?

Add 5b and 0.8b together

5.8b

Plug this value back into the equation

5.8b + 0.2c

Hope this helps :)

Please consider Brainliest :)

I like ice cream :D

5.8b+0.2c


because you add 5b and 0.8b to get 5.8b

Mark talked on his cell phone 3 hours over the weekend. Genaro talked on his phone 1 9−− 10hours. How much longer did Mark talk on his phone than Genaro?

Answers

Answer:

7 hours

Step-by-step explanation:

10-3=7

Answer:

1 1/10 hours more

Step-by-step explanation:

3 - 1 9/10 = 2 10/10 - 1 9/10 = 1 1/10 hours more •✧•

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

hope that helpes sorry if im whrong good luck

osaka 1693-73829//7301

I will give brainlest for the right answer. Please don't just make up a random thing. PLEASE!
Which expression is equivalent to 30(1/2x-2)+40(3/4y-4)?
45xy-220
15x-30y-220
15x+30y-220
15x+30y-64

Answers

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[tex]30( \frac{1}{2} x - 2) + 40( \frac{3}{4} y - 4) = \\ [/tex]

[tex](30 \times \frac{1}{2} x) -( 30 \times 2 )+ (40 \times \frac{3}{4} y )- (40 \times 4 )= \\ [/tex]

[tex]15x - 60 + 30y - 160 = \\ [/tex]

[tex]15x + 30y - 220[/tex]

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The correct answer is Option Three .

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The distance from Leoti, Kansas to Dighton, Kansas on the map is approximately 2.5 inches. The key to the map states that 1 inch is equal to 20 miles. Which of the following best approximates the distance from Leoti to Dighton?

Answers

Answer:

I believe its 50

Step-by-step explanation:

since the distance is 2.5 inches and each inch is equivalent to 20 miles

2.5x20=50

A Rube Goldberg machine consists of a series of devices that perform a simple task. Kate is drawing a scale model of her Rube Goldberg machine, which she plans to build and enter into a contest. A bicycle wheel on the scale model is 2 inches in diameter, while in the actual machine, it will be 28 inches in diameter.

Question 1
Part A

Based on the measures of the wheel diameter, what is the unit rate of inches of machine per inch of the model?

Answers

Answer:

The unit rate is 16

Step-by-step explanation:

The unit rate of the machine is given as 14 inches per model.

What is Unitary method?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The diameter of bicycle wheel on the scale model is 2 inch.

And, the diameter in actual machine is 28 inch.

The unit rate of the machine can be found by using unitary method as follows,

For 2 inch diameter on scale model, diameter in machine = 28 inch

For 1 inch diameter on scale model, diameter in machine = 28/2 inch

                                                                                                = 14 inch.

Hence, the unit rate of inches of machine per inch of the model is 14 inches per model.

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Ross has a model truck. It has a scale of 1 inch for every 32 inches on a real-sized truck. He wants to build a garage for the model at the same scale.

Given that the garage for a real-sized truck is 12 feet wide, how wide should his model garage be?

Answers

Answer in decimal form:  4.5 inches

Answer as a mixed number = 4 & 1/2 inches

========================================================

Explanation:

" It has a scale of 1 inch for every 32 inches on a real-sized truck" means the the scale is 1:32

Put another way, the real life width is 32 times greater than the scale model.

So we can form the equation

y = 32x

where x is the scale model width and y is the actual real life width.

---------

The garage in the real world is 12 feet wide, or 12*12 = 144 inches wide.

Plug y = 144 into the equation and solve for x

y = 32x

32x = y

32x = 144

x = 144/32

x = 4.5

His scale model garage must be 4.5 inches wide

4.5 inches = 4 & 1/2 inches = 4 and a half inches

Answer:

4.5 inches

Step-by-step explanation:

First, convert all measurements to the mase units

12 feet  ->  144 in

Now, we will identify what 144 inches would be as a model scale. We will do so by dividing 144/32 since 32inches equals 1 model scale inch.

144/32= 4.5

therefore, the garage will be 4.5 inches as a model scale.

Heather says that is if a hot air balloon descends 10 feet every 20 minutes, that the integer rate for that decline is 2 feet per minute. What would you say to Heather if you had to correct her work? (Hint: There are 2 errors Heather makes)

Answers

Answer:

Well I am not just going to give it to you

Step-by-step explanation:

So take 10 alright and then for every 20 min just divide by 2 and then figure out if that is correct if it is then find her other mistake ok

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