Twice the sum of a number and 3 is equal to three times the difference of the number and 7. Find the number

Answers

Answer 1

Answer:

The number is 27

Step-by-step explanation:

Let us change the word statement to an algebraic equation

→ Assume that the number is x

→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2

→ The algebraic expression is 2(x + 3)

→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3

→ The algebraic expression is 3(x - 7)

→ Equate the two expressions

∴ 2(x + 3) = 3(x - 7)

→ Simplify each side

∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6

∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21

2x + 6 = 3x - 21

Let us solve the equation to find x

→ Subtract 6 from both sides

∴ 2x + 6 - 6 = 3x -21 - 6

∴ 2x = 3x - 21

→ Subtract 3x from both sides

∴ 2x - 3x = 3x - 3x - 27

∴ -x = -27

→ Divide both sides by -1

x = 27

The number is 27


Related Questions

Solve the following expression. d=5 2d+4d-9-7

Answers

Answer:

14

Step-by-step explanation:

[tex]2d+4d-9-7\\\\d =5[/tex]

Substitute ; d= 5 into the given equation

[tex]2(5)+4(5) -9-7\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\10 +20 -9-7\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\\\10+20 =30\\\\=30-9-7\\\\30-9=21\\\\=21-7\\\\21-7\\=14[/tex]

The value of the expression 2d + 4d - 9 - 7 is 14 if the value of d is 5 after plugging d = 5 in the equation.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

The expression:

= 2d + 4d - 9 - 7

Plug d = 5 in the above expression:

= 2(5) + 4(5)- 9 - 7

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

= 10 + 20 - 9 -7

= 30 - 16

= 14

Thus, the value of the expression 2d + 4d - 9 - 7 is 14 if the value of d is 5 after plugging d = 5 in the equation.

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a. You wash cars for 2 hours. You receive $42.
How much do
you earn per
hour?

Answers

Answer:

$21

Step-by-step explanation:

$42/2 = $21 per hour

42/2=21
you make $21 an hour :)

Help needed ASAP will give BRAINLIEST

Answers

Answer:You must divide the equation to get the answer

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

I believe what they're doing is A+B=B+A. If not, rule this answer out.

if someone has 18 candy boxes then eats all 18 what do they have

Answers

Answer:

They have no more candy

Answer:

diabetes

Step-by-step explanation:

walmart sells the bike he likes for 350 dollars Walmart had the bike on sell for 30% off what is the cost of the bike at Walmart

Answers

Answer:

$245

Step-by-step explanation:

350× 0.30 = 105 dollars off

350-105 = 245

Answer:

245

Step-by-step explanation:

350/10=35

35=10%

35x3=105

105=30%

350-105=245

A hot-air balloon 70 meters above the ground is falling at a constant rate of 6
meters per second while another hot-air balloon 10 meters above the ground is
rising at a constant rate of 15 meters per second. To the nearest tenth of a second,
after how many seconds will the 2 balloons be the same height above the
ground?
A. 8.9
B. 6.7
C. 2.9
D. 0.4
E. 0.2

Answers

The answer is C. 2.9

I have a few questions so if you can answer all correct I’ll mark brainliest!

A toy car costs $60. It is reduced by 10% in a sale. How much
does it cost in the sale?

I have $78. I spend $45 on some CDs and $12 on a t-shirt. How much money is left

The ratio of lions to tigers in the zoo is 3:5 if there are 9 lions how many tigers are there?

Answers

1- 60 multiply by 0.90 =54 $ in sale

2-78-45=33 33-12=21
I have 21 $ left

3 9/3 =3 3 multiply by 5 = 15
15 tigers there

Answer:

1.) $54

2.) $21 left

3.) 15 tigers

Step-by-step explanation:

1.) If the original price of an item was $60, and it was reduced by 10%, that means it is now being sold at 90% of its original value.

To find out the new price, simply take the original value and multiply it by 90% (as a decimal).

60*.90=54

So the new price is $54

2.) This is simple subtraction. If you spend $45 on some CDs and $12 on a t-shirt, you spent a total of $57. Subtract $57 from your total of $78.

78-57=21

You are left with $21

3.) Ratios are all about multiplication. If the ratio of lions to tigers is 3:5, that means that the number of lions is going to be any factor of 3, as long as it corresponds to the same factor of 5 for the tigers.

For example, if there are 9 lions, there must be 15 tigers.

3*3=9

5*3=15

There are 15 tigers

A mine produces 42.5 tons of coal per hour. How much coal will the mine produce in 12.5 hours?

Answers

Answer:

531.25 tons per 12.5 hr

Step-by-step explanation:

42.5 per hr

× 12.5

531.25 tons per 12.5 hrs

Answer:

531.25 tons per 12.5 hr

Step-by-step explanation:

find how many centimeters are in 4.5 inches, you should
2.54 by 4.5 multiply? divide?
4.5 inches =
centimeters

Answers

Answer:

4.5in=11.43cm

Step-by-step explanation:

4.5*2.54=11.43

Answer:

You multiply

Step-by-step explanation:

You multiply the length value by 2.54 to get 11.43 cm

The cafeteria wants to buy 4,500 new forks. If each package contains 90 forks, how many packages should the cafeteria buy?

Answers

Answer:

50

Step-by-step explanation:

4,500÷90=50

and to check

90×50=4500

this is integrated math2, help plzzzz. i’m so lost idk what this is:/

Answers

I remember doing the last question.

If you recall, x = 29

Just plug 29 into x for each angle

A = 3(29) = 87

B = 2(29) + 1 = 59

C = 29 + 5 = 34

Answer:

The value of angle C is 34°

Step-by-step explanation:

2x+1°+x+5°+3x° = 180° { the sum of angle of triangle is 180°}

or, 6x + 6° = 180°

or, 6x = 180° - 6°

or, x = 174°/6

or, x = 29°

now,

value of angle C = x+5°

= 29°+5°

= 34°

What are corresponding points and sides?

Answers

Answer:

means opposite to it which is rut infront

p² – 40q+p- 2q +49² 38
Factor Each Polynomial Completely​

Answers

Answer:

The expression is not factorable

with rational numbers

Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 134 feet.

Answers

Answer:

L = 2w  134 = 2L + 2w

l= length

w=width

l=2w

P=Perimeter= 134 ft

P= 2(l+w)

 = 2(2w+w)

 = 2(3w) = 6w=134

w=134/6=22 1/3 ft

l= 2w = 2 x 22 1/3 = 44 2/3 ft

Hope it helps

Thirty bouquets contain 750 rose stems. How many rose stems will 9 such bouquets hold?

Answers

Answer:

225 rose stems

Step-by-step explanation:

750 / 30 = 25 rose stems per bouquet

25(9) = 225 rose stems

solve the inequality
4(1-x)+5(1+x)>3x-1​

Answers

Answer: x < 5

Step-by-step explanation:

4 - 4x + 5 + 5x > 3x - 1

9 + x > 3x - 1

10 > 2x

x < 5

Jose wants to buy his friends pizza at lunch. He has $36 to spend. The pizza costs $2.25 per slice. Which equation could be used to find the number of slices, x, he can buy?

Answers

Answer:

36 = 2.25(x)

Number of slices = 16 slice

Step-by-step explanation:

Given:

Total amount spend = $36

Cost of each slice = $2.25 per slice

Number of slices = x

Find:

Equation

Computation:

Total amount spend = Cost of each slice × Number of slices

36 = 2.25(x)

x = 16

Number of slices = 16 slice

A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price.
What is the amount of sales tax charged on the repaired computer at Store A?

Answers

Answer:

A

Step-by-step explanation:

The amount of sales tax charged on the repaired computer at Store A is 72 dollars.

We have to given that,

A 3-column table with 4 rows.

Column 1 has entries Computer repair, sales tax, gratuity, shipping.

Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free.

Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price.

Hence, For store A,

The amount of sales tax charged on the repaired computer at Store A is,

6% of 1200

= 6/100 x 1200

= 6 x 12

= 72 dollars

Therefore, the amount of sales tax charged on the repaired computer at Store A is 72 dollars.

Learn more about the percent visit:

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The number of hot dogs Ryan can eat varies directly with the amount of time he spends eating. If Ryan can eat 14 hot dogs in 6 minutes, how many hot dogs can he eat in 15 minutes? HELPPPPPPPPPPP

Answers

Answer:

  35

Step-by-step explanation:

Let h represent the number of hot dogs Ryan eats in 15 minutes. Since the rates are the same, we have ...

  dogs/minutes = h/15 = 14/6

Multiplying by 15 gives us ...

  h = (15·14)/6 = 35

Ryan can eat 35 hot dogs in 15 minutes.

I really need help on this problem.

Answers

Answer:

a.) 20

b.) 4/3

c.) 3

Step-by-step explanation:

a.) Plug in 5 for x

5(5) - 5

25 - 5

20

b.) Plug in 1/3 for x

5(1/3) - 1/3

5/3 - 1/3

4/3

c.) Set equation equal to 12 to find x input

12 = 5x - x

12 = 4x

3 = x

x = 3

Four friends buy cinema tickets using this offer.

Cinema tickets
Buy 3 tickets and get a tickets free
They each pay £6.15
How much does a ticket cost

Answers

Answer:

Step-by-step explanation:

The cost of one ticket will be  £8.20

Explanation

Suppose, the cost of one ticket is  

As the offer says "buy 3 tickets and get a ticket free" , it means they actually need to pay for 3 tickets.

So, the total cost of 3 tickets  

Each of four friends pay £6.15 , so the total amount they pay  

=£6.15*4=£24.60

Thus, the equation will be .....

=3x=24.60

=x=24.60/3=8.20

 So, the cost of one ticket will be  £8.20

What is the slope of the line on the graph?

Answers

Answer:

2/4=1/2

Step-by-step explanation:

It rises 2 runs over 4.

rise/run

2/4=1/2

(PLEASE ANSWER THESE ASAP)

(1) K-Mart is offering a 15% discount on children's clothing. Susan sees a jumper she likes for $30. How much does she pay for the jumper?

(2) Michael has $35 to divide between his two daughters, Paula and Mathilda, in the ratio of 3:2 How much money does each daughter receive?​

Answers

Answer:

easy

Step-by-step explanation:

easy..................

A family is going on a 603-mile car trip. So far they have driven 24% of the distance. Which is the best estimate for the number of miles they have driven so far?

Answers

Answer:

the best eatimated answer would be 150 miles.

24% of 603 = 144.72

so you can round it to 150

Answer:

24% of 603 is 144.72, so the best estimate would probably be 150 miles.

What is the range of the relation of centimeters as a function of inches? {5.08, 10.16, 17.78, 25.4, 33.02} all positive integers x greater-than-or-equal-to 0 y greater-than-or-equal-to 0

Answers

Answer:

y>0 Option D

Step-by-step explanation:

Answer:

The answer is D.)

Step-by-step explanation:

This is right on edg. 2020

Alex can run 24 miles in 3 hours. How many miles does he run in 1 hour?

Answers

Answer:

8 miles per hour

Step-by-step explanation:

24 divided by 3 equals 8 miles per hour

Answer: 8 miles

Step-by-step explanation:

24/3=8, so the unit rate is 8 miles an hour, which means he ran 8 miles in 1 hour.

1.Write 6,730,000 in scientific notation.

2. Write 13,300 in scientific notation.

3. An ordinary quarter contains roughly 97,700,000,000,000,000,000,000 atoms. Write this number using scientific notation.

Answers

Answer:

6.73 X 10 to the sixth power.

1.33 X 10 to the fifth power.

9.77 X 10 to the twenty-second power.

Step-by-step explanation:


How many solutions are there for the equation? |XI=8

Answers

Answer:

              Two solutions    

Step-by-step explanation:

|a| changes the sign to + if a<0

so solution of |x| = 8 would be x=8 or x = -8

Hay whats 123 x 600 =

Answers

73,800 have a good day

Step-by-step explanation:

600

x123

Usually I get rid of the 0's and add them when i'm done, so i'll do that.

123

x 6

738

Then add the 0's

73,800

hope it helps!

Segment QR has a midpoint at M(4, 3). Point R is at (2,2). Find the coordinates of point Q.

Answers

Answer:

69

Step-by-step explanation:

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