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oee [108]
2 years ago
14

Is 3km greater or less than 5000m

Mathematics
1 answer:
Reil [10]2 years ago
3 0
3km means 3000m so 3000m less than 5000m
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how many liters is 70% alcohol solution must be added to 50 L of 40% alcohol solution to produce a 50% alcohol solution
Anettt [7]

Answer:

50%

Step-by-step explanation:

This question is solved by C1V1 + C2V2 ÷ V1 + V2 = final concentration

Let x = volume of 70% solution

 

let's express the concentrations as decimals, so 70% = 0.7, 50% = 0.5, and 40% = 0.4

 

then 0.7X + 50L.4 ÷ X + 50L = 0.5

 

this equation becomes 0.5(X + 50) = 0.7X + 20

which yields 0.5X + 25 = 0.7X +20

combining, we get 5 = 0.2X, and 25 = X

 

when we mix the two volumes, we get 50L x 40% + 25L x 70%,

which yields 20L of 100% alcohol, and 17.5L of 100% alcohol, for a total of 37.5L of alcohol in 75L of solution

 

which is a final concentration of 50%

3 0
3 years ago
Sine rule / trigonometry <br> how do i answer this
Xelga [282]

Step-by-step explanation:

area of first triangle =1/2×112×202×sin30°

  • 1/2×112×202×1/2
  • 5656m²

area of second circle=1/2×202×197×sin60.5°

  • 1/2×202×197×0.870
  • 17310.39m²

Total area of estates=area of first triangle +area of second triangle

  • 5656+17310.36
  • 22966.39m²

hope it helps.

8 0
2 years ago
Albert $1000 earned 1.2% annual interest compounded monthly
mr Goodwill [35]

Answer:

  $2159.07

Step-by-step explanation:

The compound interest formula is used to find the balance for the $1000 investment:

  A = P(1 +r/n)^(nt)

  A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43

__

For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...

  A = 500(1 -.02) = 490.00

__

The continuous compounding formula is used for the second $500 investment.

  A = Pe^(rt)

  A = 500e^(.008·10) = 500e^.08 = 541.64

__

The total value of Albert's investments is ...

  $1127.43 +490 +541.64 = $2159.07

3 0
3 years ago
Hellohello, if you able to help me then please do. (:
mars1129 [50]

Answer:

exact form: 4/9

decimal form: 0.4 repeating

i hope this helps :)

7 0
3 years ago
PLS ACTUALLY HELP ME , I WILL MARK BRAINLIEST
alexandr402 [8]

Answer: 15/8

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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