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3 years ago

Question: 5 ( x +20)= 7x +30

Mathematics

2 answers:

mel-nik [20]3 years ago

7 0

Answer:35

Simplifying

5(x + 20) = 7x + 30

Reorder the terms:

5(20 + x) = 7x + 30

(20 * 5 + x * 5) = 7x + 30

(100 + 5x) = 7x + 30

Reorder the terms:

100 + 5x = 30 + 7x

Solving

100 + 5x = 30 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.

100 + 5x + -7x = 30 + 7x + -7x

Combine like terms: 5x + -7x = -2x

100 + -2x = 30 + 7x + -7x

Combine like terms: 7x + -7x = 0

100 + -2x = 30 + 0

100 + -2x = 30

Add '-100' to each side of the equation.

100 + -100 + -2x = 30 + -100

Combine like terms: 100 + -100 = 0

0 + -2x = 30 + -100

-2x = 30 + -100

Combine like terms: 30 + -100 = -70

-2x = -70

Divide each side by '-2'.

x = 35

Simplifying

x = 35

Hope it helps. Please tell me if im correct

RUDIKE [14]3 years ago

5 0

Answer:

Step-by-step explanation:

5 * X= 5x

5* 20=100

these are for the ones inside the pararenthesis

so....

5x + 100= 7x+30

subtract 30 from both sides

5x+100-30= 7x-30-30

5x+70= 7x

now we need the variable on one side

so we subtract 5x on both sides

5x-5x+70= 7x-5x

70= 2x

now we divide by 2 on both to isolate the variable

70/2= 2/2

35=x

that's ur answer

hope this helped :D

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Surface area of rectangular prism

AURORKA [14]

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So, your answer is
A= 174

5 0

4 years ago

A car traveled 360 miles in 4 hours. If its speed were to be 15 mph slower, how long would it take to travel the same distance?

docker41 [41]

Answer:

4.8 hours

Step-by-step explanation:

First, divide the distance by time to get velocity.

S = D/T

S = 360/4

S = 90 mph

Then, subtract 15 from 90 to get the new speed.

90 - 15 = 75

Lastly divide the distance by the new speed to get time.

T = D/S

T = 360/75

T = 4.8

Therefore, it would take the car 4.8 hours to travel 360 miles at 75 miles per hour.

6 0

3 years ago

Two planes are 2725 miles apart and are traveling toward each other one plane is traveling 110 mph faster than the other plane T

Licemer1 [7]

Answer:

therefore x = 600 mph

therefore the speed of the other plane y = x - 110 = 600 - 110 = 490 mph

Step-by-step explanation:

i) Two planes are 2725 miles apart and are travelling towards each other.

ii) One plane is travelling 110 mph faster than the other plane.

iii) the planes pass each other in 2.5 hours

iv) let the speed of one plane be x mph

v) let the speed of another plane be y mph

vi) therefore x - y = 110 mph

vii) and also x + y = 2725/2.5 = 1090

viii) adding the equation in vi) to the equation in vii) we get 2x = 1200

therefore x = 600 mph

ix) therefore the speed of the other plane y = x - 110 = 600 - 110 = 490 mph

4 0

3 years ago

Need help with this easy math problem

steposvetlana [31]

Answer:

B=43 C=137 D=48

Step-by-step explanation:

b=43 because any small triangle you subtract each angle from 180 . 180-89-48= 43

c=137 because angle b and c make a supplementary angle so you subtract b from 180 to get c. 180-43= 137

d=48 because <edc is congruent to <eyx so they are the same size

4 0

3 years ago

Please please help thank you so much

malfutka [58]

Answer:

Nope

Step-by-step explanation:

y = 6x - 2

(1, 2)

2 = 6(1) - 2

2 = 6 - 2

2 = 4

(1, 2) isn’t on the line

4 0

3 years ago