Fill in the blanks so that the equation has infinitely many solutions.

5y + 6 + 7y = blank (6y + blank)

Answers

Answer 1

Answer:

  5y +6 +7y = 2 (6y + 3 )

Step-by-step explanation:

We can name the blanks 'a' and 'b'. Then we have ...

  5y +6 +7y = a(6y +b)

This will have infinitely many solutions when both sides simplify to the same expression.

  12y +6 = 6ay +ab

To have these expressions be the same, we must have ...

  12 = 6a . . . . same coefficient of y

  6 = ab . . . .  same constant

The first of these equations tells us ...

  a = 12/6 = 2

Then the second equation tells us ...

  b = 6/a = 6/2 = 3

The equation with the blanks filled in is ...

  5y +6 +7y = 2 (6y + 3 )


Related Questions


Sara says, "If you subtract 17 from my number and multiply the difference by - 4, the result is
- 60." What is Sara's number?

Answers

Answer:

32

Step-by-step explanation:

ok to the result is - 60 she said. So then we know that in order to get -60, you had to subtract 17 from the original number and multiply by -4.

equation is this: (x-17)×-4= -60

Next, we solve using pemdas!

x-17=[tex]\frac{-60}{-4}[/tex]   (keep in mind that a negative cancels out a negative!)

add 17 to both sides

x= [tex]\frac{-60}{-4}[/tex]+17

So then now that you have the new equation you simplify!

x= 32

Worth 50 points!I need help plz!
Will mark brainliest to whoever does all the work.

A basket contains:
4 red Santa hats
6 green Elf hats
5 red jackets
7 green jackets.

Determine the probability of randomly selecting a green piece of clothing or a jacket.

(A)Use the addition rule to calculate this probability and explain your answer.

Do this equation P(AorB)=P(A)+P(B)-P(A and B)
(Write your answer as a percent.)

(B) are a green piece of clothing and a jacket mutually exclusive events?

Answers

Explanation/Answer:

Total: 4 + 6 + 5 + 7 = 22

Green: 6 + 7 = 13

Probability: 13/22

Note: It Is Not Mutually Exclusive Events

(x+1)/(x+2)=3/4
Solve the equation​

Answers

4(x+1)=3(x+2)

4x+4=3x+6

4x-3x=6-4

X=6-4

Answer is X=2

Help help math math math

Answers

Answer:

This is a nonlinear function

Step-by-step explanation:

This is because in increase in y changes every time in this function, from 3 to 5 to 7

The answer is Non-Linear. Hope this helps :)

-9=-12+b
What is the equation?

Answers

Answer:

The answer is 3 because you have to add 12 to both sides to isolate b.

Step-by-step explanation:

THE EQUATION IS -9=-12+b.

The values in the five-number summary divide a data set into four quarters.
A. True
B. False

Answers

Answer:

The values in the five-number summary divide a data set into four quarters.

→ True

Mark me as brainlist plz :)

Answer:

the answer is TRUE

Step-by-step explanation:

The question in the picture​

Answers

1/27

Explanation:

You would multiply to get to the answer.                                                                                    

It’s blurry?…. Better picture

I need the anwser to this right now please

Answers

Answer:

b. 9

Step-by-step explanation:

2+9=11

11+11=22

22+6=28

answer: 9

(3+3)-28 = 22
that leaves the other side having to be 11 on each so
2+9= 11

A basketball player made 80 out of 100 attempted free throws what percent of free throws was made ?

Answers

Answer:

8/10

Step-by-step explanation:

id hope your have a great day

Answer:

80%

Step-by-step explanation:

80÷100=.8 which is 80%

Evaluate 40x40x402x2x2

Answers

Answer:

2,572,800

Step-by-step explanation:

I hope this helps!

Answer: 40 x 40 x 402 x 2 x 2 =128,640

The sum of the numbers is 66. The larger number is 16 more than the sanaller number, What are the numbers

Larger number: Smaller number:

Answers

Answer:

S 25, L 41

Step-by-step explanation:

Small + Large = 66

Large = Small + 16

s + (s + 16) = 66

2s + 16 = 66

2s = 50

s = 25

25 + Large = 66

Large = 41

1/3 of 3 please help I'll give 20 points​

Answers

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

PLS HELP!
For which value of x does each expression make sense:

(square root) -2x^2

(square root) (-2x)^3

(square root) (-2x)^2

Answers

The value of x must be less than zero for the expression to make sense

The value of x must be less than zero for the expression to make sense

The value of x must be greater than zero for the expression to make sense

For each of the expressions to make sense, the values inside the square root must be greater than zero.

For the expression [tex]\sqrt{-2x^2}[/tex]

-2x^2 > 0

x^2 < 0/-2

x^2 < 0

x < 0

The value of x must be less than zero for the expression to make sense

For the expression [tex]\sqrt{(-2x)^3}[/tex]

(-2x)^3 > 0

-8x^3 > 0

x^3 < 0/-8

x^3 < 0

x < 0

The value of x must be less than zero for the expression to make sense

For the expression [tex]\sqrt{(-2x)^2}[/tex]

(-2x)^2 > 0

2x^2 > 0

x^2 > 0

x > 0

The value of x must be greater than zero for the expression to make sense

Learn more on inequality here: https://brainly.com/question/24372553

Date: Pages of * The current ratio of a business is the ratio of its current assets to its current labilities. After consulting with the comptroller, the president of Ace sports equipment company decides to take out a short-term loan to build up inventory. The company has current assets of $350,000 and current labilities of $ 80,000. How much can the company borrow if the current ratio is to be no less than 2.5?

Answers

Answer:

this is wrong answer

Step-by-step explanation:

Suppose a special discount makes the price of Nike air max shoes 10% lower. As result, there is a 20% increase in the quantity demanded for the shoes, which statement is correct ____?

Answers

It is evident from the problem statement that an overall price reduction of Nike air max shoes will lead to an increase in the demand for the shoe.

In Economics,  the relationship between price and demand is stated as follows "If all other factors remain equal, the higher the price of a good, the fewer people will demand that good. In other words, the higher the price, the lower the quantity demanded and vice versa."

In all, the Law of Demand tells us that if more people want to buy something, given a limited supply, the price of that thing will be bid higher, also of the price of something is low the demand will be high.

learn more:

https://brainly.com/question/25585026

For the following inequality, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the inequality. Be sure to include at least two terms from the word bank
1/4 x \leq -3

Answers

Answer:

x<=-12

Step-by-step explanation:

1/4x<=-3

*Multiply both sides by 4

x<=-12

and it's solved :)

HELPPP PLS :)
find the value of x.

Answers

Answer:

9

Step-by-step explanation:

4x - 2 = 34 measure of two legs of isosceles triangle are equal

4x = 36

x = 9

what is 9/blank= 4? i really don't know

Answers

Answer:

9/4

Step-by-step explanation:

Answer:

9/2.25 = 4

Step-by-step explanation:

9/x = 4

x = 9/4 or 2.25

After eating 75% of the chocolates in a box, Dev found 6 chocolates remaining. How many chocolates were there in the box originally?

Answers

Answer:

24

Step-by-step explanation:

Let total number of the chocolates be x.

25% of x = 6 (because 100 - 75 = 25% of chocolates left).

25/100 x x = 6

x = 600/25

x = 24

Hence, 24 is the total amount of chocolates.

Hope it helps :)

David invests $10,000 in a savings account that pays 3.5% simple interest. If David

makes no withdrawals or deposits to the account, how much will be in the

account after 7 years.

Answers

Answer:

David will have $12,450 if he makes no withdrawals.

What is the sales tax on a jacket priced at $275 if the sales tax rate is 7%?

Answers

the answer is 19.25, because when you ..

Help help math math math math

Answers

Answer:

y= [tex]\frac{3}{2}[/tex]x -1

Step-by-step explanation:

To find slope I first found the two points on the graph which were (0, -1) and (2, 2). Then I used rise over run to find the slope the point went up 3 units and to the right two units.

then to find the y intercept I found a pint of the graph where the line had passed through the y-intercept line on the graph which just so happened to be -1.

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

y = 3/2 - 1

Step-by-step explanation:

First let's take two coordinates in the line.

( 2 , 2 )     ( 0 , -1)

You can use y = m x + c to find the equation of the line.

Here,

m → slope

c  → y - intercept

( 2 , 2 )                ( 0 , -1)

 ↑  ↑                    ↑  ↑

( x1 , y1 )            ( x2 , y2 )

First let's find the slope of the line.

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

m = ( 2 - (-1) ) / (2 - 0 )

m = ( 2 + 1 ) / 2

m = 3 / 2

Now let's find the y - intercept of the line.

For that, let's use ( 0 , -1 ) coordinate

y = m x + c

y = 3/2 × 0 - 1

y = 0 - 1

y = ( - 1 )

Therefore, the equation of the line is,

y = 3/2x - 1

Hope this helps you :-)

HELPPPP ASAPPPPPPPPPPPP

Answers

Answer:

C

Step-by-step explanation:

Which choice is equivalent to the product below?
14.6
O A. 125
B. 6-28
C. 2-21
D. 28

Answers

Answer:

2√21

Step-by-step explanation:

1) Simplify.

√84

2) Simplify √84 to 2√21.

2√21

Can you please help me with number 15

Answers

Answer:

142.25 miles

Step-by-step explanation:

239- 96.75

142.25

142.25 miles I think

I SWEAR IF I GET ANOTHER LINK I WILL SCREAM Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from the 1st Quartile does the graph give you?




A. Three fourths of the fish he caught were larger than 22 pounds.

B. The average weight of the fish he caught was 40 pounds.

C. Three fourths of the fish he caught were less than 22 pounds.

D. The largest fish he caught was 63 pounds.

Answers

Answer:

C. Three fourths of the fish he caught were less than 22 pounds.

Step-by-step explanation:

Hope it helps! At least you didn't scream Imao

Answer:

C

Step-by-step explanation:

i answered so the other person gets the brainliest they deserve!

Which inequality matches the graph?

Answers

Answer:

x < 2/3 y + 2 1/3

Step-by-step explanation:

put it in a graphing calculator and they matched, I do not know

Melllissa owns 4 sets of jewelry. Each set contains 2 earrings, 1 neckles, 1 bracelet, 1 ring. How many pieces of jewelry does Melissa have all together?

Answers

Answer:

The answer is to the problem is 18.

Please help I'll mark brainliest

A cook came across two cups and one saucer in a kitchen cupboard.

Bored for something to do, she weighed each item.

Altogether, the three items came to 12 ounces.

The larger cup with the saucer weighed exactly double of the smaller cup.

The smaller cup with the saucer weighed exactly the same as the larger cup.

What did each item weigh?

Answers

Answer: saucer 3 ounces smaller cup 3 ounces larger cup 6 ounces

Step-by-step explanation:

what is an equation of the line that passes through the point (3, -8) and has slope -2?

Answers

Answer:

Step-by-step explanation:

slope of -2 means the slope is -2/1

from (3, - 8) you can find the y intercept by going backwords until x = 0

(2,-6)

(1,-4)

(0,-2)

so the y intercept is -2

y = -2x - 2

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