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Wewaii [24]
4 years ago
15

A spring stretches by 21.0 cm when a 135 n object is attached. what is the weight of a fish that would stretch the spring by 49

cm?
Mathematics
1 answer:
Akimi4 [234]4 years ago
8 0
If the stretch is proportional to the weight, it will satisfy
   weight/(49 cm) = (135 N)/(21 cm)
   weight = (49/21)×135 N
   weight = 315 N

The weight of the fish would be 315 N.
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um fazendeiro comprou a mesma quantidade de bezerros e vacas por 476.000. pagou 800 por um bezerro e 2000 por uma vaca,quantos a
marshall27 [118]

Answer:

  • <u>The farmer bought 170 animals of each species</u>.

Step-by-step explanation:

The translation of the question into English is:

<em>"a farmer bought the same number of calves and cows for 476,000. He/she paid 800 for a calf and 2000 for a cow, how many animals of each species did he/she buy?"</em>

<em />

<h2>Solution to the problem</h2>

<u>1. Choose the variable's name and translate the verbal statements into algebraic expressions:</u>

  • a) number of calves or cows: x
  • b) He/she paid 800 for a calf: 800x
  • c) He/she paid 2,000 for a cow: 2000x
  • d) For 476,00: 800x + 2000x = 476,000 . . . .  this is your equation

<u />

<u>2. Solve the equation:</u>

<u>a) Write the equation:</u>

    800x+2,000x=476,000

<u>b) Add like terms:</u>

    2,800x=476,000

<u>c) Use division property of equalities: divide both sides by 800:</u>

    x=476,000/2,800=170

<u>d) Translate the solution into a verbal statement:</u>

Since x represents both the number of calves and the number of cows, the answer is:

  • <u>The farmer bought 170 animals of each species</u>.
6 0
3 years ago
What do you add to 2 5/8 to make it 6 ?
jonny [76]
To solve this, I first converted 2 5/8 into an improper fraction (2 × 8 = 16, 16 + 5 = 21) and got 21/8.
Next, you need to find the number that, when divided by 8, equals 6, and you can do this simply by multiplying 8 and 6 together to get 48.
We only have 21, so we next do 48 - 21 = 27.

Now we know that our answer is 27/8, but if you would like it as a mixed number then you just do 27 ÷ 8 = 3 (remainder 3), so as a mixed number your answer is 3 3/8.

I hope this helps!
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