MATHEMATICS MIDDLE SCHOOL

SOLVE THE EQUATION
−9(x + 6) + 60 = 13 − 10x

Answers

Answer 1
Answer:

Answer:

x=7

Step-by-step explanation:

−9(x + 6) + 60 = 13 − 10x

Distribute

−9x -54 + 60 = 13 − 10x

Combine like terms

-9x +6 = 13 -10x

Add 10x to each side

-9x+10x +6 = 13-10x+10x

x +6 = 13

Subtract 6 from each side

x+6-6=13-6

x = 7

Related Questions

Solve the inequality for x. –2x – 3 > 13 A) x < –5 B) x < –8 C) x > –5 D) x > –8
A survey of 40 shoppers found that 12 like Crunchy Cereal and 23 like Wheat Cereal. Twice as many dislike both brands as like both brands. How many shoppers like both brands?a.15 c.5 b.7 d.10
Do you know Prime factorization
Find the surfacs area of a cone wirh a slant height of 18in and a radius of 7in
If 2b= -3, what is the value of 1 – 4b?

Which of the following relations is a function?A. (2,4), (-5, 6), (2, 3), (-6, 2)
B. (8, 1), (-5, 4), (2, 1), (8, 2)
C. (2,4), (-5, 2), (8, 1), (-6, 2)
D.
(2,0).(-5, 3), (8, 1), (-5,5)

Answers

Answer: OPTION C

Step-by-step explanation:

A relation is a function when each input value has one and only output value.

For option A:

 (2,4), (-5, 6), (2, 3), (-6, 2)

You can observe that the input value "2" has two output values. Then it is not a function.

For option B:

(8, 1), (-5, 4), (2, 1), (8, 2)

You can observe that the input value "8" has two output values. Then it is not a function.

For option C:

(2,4), (-5, 2), (8, 1), (-6, 2)

You can observe that each input value has only one output values. Then it is a function.

For option D:

(2,0).(-5, 3), (8, 1), (-5,5)

You can observe that the input value -5 has two output values. Then it is not a function.

For a set of data to be a function each x value has to have different y values.

A. (2,4), (-5, 6), (2, 3), (-6, 2)

B. (8, 1), (-5, 4), (2, 1), (8, 2)

D.(2,0).(-5, 3), (8, 1), (-5,5)

The bolded coordinates are the ones of each data set that makes it not a function. As you can see the x values all have different y values.

This leaves C. as the answer!

Hope this helped!

Solve -0.25a + 3.8 = 4.6

Answers

a would have to equal -3.2

Write an equation in slope-intercept form then Graph. 3x-6y=-12

Answers

Here is the graph for 3x-6y=-12

Brian invests £1300 into his bank account. He receives 10% per year simple interest.

How much will Brian have after 3 years?

Give your answer to the nearest penny where appropriate.

Answers

Answer:

£1690

Step-by-step explanation:

Amount invested by Brian = £1300

rate of simple interest = 10%

To find money Brian will have after three years

He will have amount invested in bank and interest earned in three years from that amount.

Simple interest for any principal amount p is given by

SI = P*R * T /100

where SI  is simple interest earned

T is time period for which simple interest is earned

R is rate of interest

Substituting value of P , R and T we have

SI = 1300*10* 3 /100 = 390

Therefor interest earned will be £390

Total money with Brian after three years = principal amount invested + interest earned in 3 years

= £1300 + £390 = £1690

22 is 44% of what number?

Answers

Luckily 22 is half of 44 so this is not too hard.
If 44 is 44% 100 and 22 is half of 44, we can just use this info and find half of 100 to give us our answer.
100/2=50
So 22 is 44% of 50
22 is half of 44 by 22 and 22 is 44% of 50

It time jaivin 18 minutes to jog 4 laps. how many minutes did it take to jog each lap at this rate?

Answers

You would divide 18 divided by 4 which would be 4minutes and 50 seconds each lap.
4 laps took 18 minutes.
1 lap took   ? minutes

(1*18)/4 = 4.5 minutes or 4 minutes 30 seconds.

Direct Variation. 

So calculate using this shortcut, Bottom left number * Top Right number / Top left number. It works only for Direct Variation.
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