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ololo11 [35]
3 years ago
6

Rewrite in simplest terms: -2(5d-9f)+7f-10(-9f-7d)−2(5d−9f)+7f−10(−9f−7d)

Mathematics
1 answer:
Bess [88]3 years ago
8 0

Answer:

= 5 ( 12d + 23f )

Step-by-step explanation:

-2(5d-9f)+7f-10(-9f-7d)

Open parenthesis

= -10d + 18f + 7f + 90f + 70d

Collect like terms

= -10d + 70d + 18f + 7f + 90f

= 60d + 115f

Factorise

= 5 ( 12d + 23f )

Therefore,

-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )

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An 8 kg box is at rest and is pushed for 10 m with a 60 N force. If it's accelerated to 10 m/s, calculate the efficiency of the
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Answer:

  2/3

Step-by-step explanation:

The work done on the box is ...

  Fd = (60 N)(10 m) = 600 N·m = 600 J

The amount of energy the box has as a result is ...

  KE = 1/2mv² = (1/2)(8 kg)(10 m/s)² = 400 kg·m²/s² = 400 J

The ratio of box energy to energy input is ...

  η = (400 J)/(600 J) = 2/3 . . . ≈ 66.7%

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3 years ago
The base of a triangular prism is a right triangle whose legs are 9 cm and 12 cm. The height of the prism is 33 cm. What is the
KATRIN_1 [288]

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Given the function f(x) = 2x-5/3, which of the below expression is correct?
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3 years ago
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Simplify negative 9 over 6 divided by 3 over negative 2..
34kurt

-6/3 division sign 2/-9

To solve: multiply by reciprocal inverse

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6 0
3 years ago
if you subtract 17 from my number and multiply the difference by -6 the results is -138 what is Sarah's number
likoan [24]

Answer:

40

Step-by-step explanation:

let the unknown be y (x is used as times(multiplication) )

(y-17)x-6=-138

add /-6 to both sides

y-17x-6/-6=-138/-6

y-17=23

make y independent/add 17 to both sides

y-17+17=23+17

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or in an easier way

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simply reversing the question to get the answer

7 0
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