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stich3 [128]
3 years ago
15

-42 + 3x = 60 + 9x

Mathematics
1 answer:
muminat3 years ago
4 0

Answer:

x = -17

Step-by-step explanation:

-42 + 3x = 60 + 9x

3x = 60 + 42 +9x

3x = 102 + 9x

-9x + 3x = 102

-6x = 102

x = -17

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A bus travels two different routes: the Green Route and the Blue Route.
Alex17521 [72]

Answer:4.5

Step-by-step explanation: Check the file for my explanation

8 0
2 years ago
Harpreet, Sukhpreet and Komalpreet are three sisters. Sukhpreet is x years old. Harpreet is 3 years older than Sukhpreet. Komalp
Ira Lisetskai [31]

Answer:

12

Step-by-step explanation:

Givens

Harpreet        = x + 3

Sukhpreet     = x

Komalpreet   = 2*(x + 3)

Average Age = 15

Equation

[(x + 3) + x + 2*(x + 3) ] / 3 = 15                  Multiply both sides by 3

Solution

3 [(x + 3) + x + 2*(x + 3) ] / 3 = 15 * 3         Combine

 [(x + 3) + x + 2*(x + 3) ]       =   45             Remove the brackets

x + 3 + x + 2x + 6                 =   45             Combine like terms

4x + 9 = 45                                                 Subtract 9 from both sides

4x + 9 - 9 = 45 - 9                                       Combine

4x = 36                                                         Divide by 4

4x/4 = 36/4

x = 9

Answer

Harpreet is  x+ 3 = 9 + 3 = 12

3 0
2 years ago
A movie theater decreased the size of its popcorn bags by 20%. If the old bags held 15 cups of popcorn, how much do the new bags
vovikov84 [41]

Answer:

<em>Your answer will be </em>12<em> cups of popcorn.</em>

Step-by-step explanation:

To find out how much the new bags hold, you need to find out the discount.

\frac{20}{100 } = .2

15 * .2 = 3

<em>We know that the discount is </em>3<em>.</em>

<em>To figure out how much the new bags hold, subtract by the old bags.</em>

15 - 3 = 12

<em>The new bags hold 12 cups of popcorn. </em>

7 0
3 years ago
Solve the equation by using square roots. 2 x 2 − 9 = 11
VashaNatasha [74]

Answer:

x = ± \sqrt{10}

Step-by-step explanation:

Given

2x² - 9 = 11 ( add 9 to both sides )

2x² = 20 ( divide both sides by 2 )

x² = 10 ( take the square root of both sides )

x = ± \sqrt{10} ← exact solutions

3 0
3 years ago
Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm
12345 [234]

Answer:

14.76 cm

Step-by-step explanation:

Use the pythagorean theorem:

a² + b² = c²

Plug in the side lengths and solve for c:

7² + 13² = c²

49 + 169 = c²

218 = c²

14.76 = c

So, the hypotenuse is approximately 14.76 cm

8 0
3 years ago
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