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Leni [432]
3 years ago
8

7(4 + 3x) = 45(x - 3) - 3(2x -12)

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0

7(4 + 3x) = 45(x - 3) - 3(2x - 12)

Distribute:

28 + 21x = 45x - 135 - 6x + 36

Collect like terms:

28 + 21x = 39x - 99

Rearrange terms to get them all on one side (add 99 to both sides):

28 + 99 + 21x = 39x - 99 + 99

Simplify:

127 + 21x = 39x

Subtract 21x from both sides:

127 + 21x - 21x = 39x - 21x

Simplify:

127 = 18x

Divide by 18 on both sides to isolate the x variable and solve the expression:

127/18 = 18x/18

Simplify:

x = 127/18

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  • Here, both the triangles have equal sides.
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Doubt clarification - use comment section.

4 0
2 years ago
Nancy also has a mirror that measures 20.32 centimeters long. What is the length of Nancy’s mirror in inches?
tino4ka555 [31]

Answer:

C: 8.00

Step-by-step explanation:

1 in = 2.54 cm

l = 20.32 × 1/2.54

l = 8.00 in

The length of Nancy’s mirror is 8.00 in.

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2 years ago
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ElenaW [278]

Answer:

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7 0
2 years ago
A ladder 15 feet long leans against the top of a structure at a 60 degree angle to the ground. What is the height of the buildin
Goshia [24]

Answer:

height of the building is 12.99 feet.

Step-by-step explanation:

given, try to analyse:

  • ladder 15 feet long.
  • 60 degree angle to the ground.

the height of the building is opposite to the angle 60° and given hypotenuse, the ladder of 15 feet long.

using sine rule:

sin(x) = \frac{opposite}{hypotenuse}

sin(60) = \frac{opposite}{15}

opposite = sin(60) *15

opposite = 12.99feet

Therefore the height of the building is 12.99 feet.

7 0
2 years ago
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To solve this you would have to subtract 75 minutes from 5:00.

This would make the start time 3:45 pm.
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