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Morgarella [4.7K]
3 years ago
14

Three friends equally share 1/2 of a pizza how much of the pizza does each friend get

Mathematics
1 answer:
erastova [34]3 years ago
6 0

The answer to this problem is 1/6.

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There are two mixtures. One mixture contains 5% alchol and the other mixture contains 12% alchol. How much of each should be mix
hichkok12 [17]

Answer:

to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture that contains 5% alcohol and 285,7 gallons of mixture that contains 12% alcohol.

Step-by-step explanation:

According to the statement, there are two mixtures. One mixture contains 5% alcohol and the other contains 12% alcohol.

We want to make 1000 gallons with 10% alcohol, so we have the following system of equations:

A + B = 1000 gallons. [1]

0.05A + 0.12B = 0.1(1000) ⇒ 0.05A + 0.12B = 100 [2]

(Where 'A' represents the mixture that contains 5% alcohol and 'B' the one that contains 12% alcohol).

Solving the system of equations:

A + B = 1000 ⇒ A = 1000 - B [3]

[3] → [2]

0.05(1000 - B) + 0.12B = 100 ⇒ 50 - 0.05B + 0.12B = 100

⇒ 0.07B = 50 ⇒ B = 714.28 ≈ B=714.3 [4]

[4] → [1]

A + B = 1000 ⇒ A + 714.3 = 1000 ⇒ A = 285,7

Therefore, to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture 'A' and 285,7 gallons of mixture 'B'

4 0
3 years ago
What is the range of g(x) = - 2x + 3, if the domain is {-2, - 1,0, 1, 2}?
pshichka [43]

Answer:

{ - 1, 1, 7, 23 }

Step-by-step explanation:

To find the range substitute the values from the domain into g(x)

g(-2) = -2(- 2) + 3 = 4 + 3 = 7

g(- 10) = - 2(- 10) + 3 = 20 + 3 = 23

g(1) = - 2(1) + 3 = - 2 + 3 = 1

g(2) = - 2(2) + 3 = - 4 + 3 = - 1

Range is { - 1, 1, 7, 23 }

7 0
3 years ago
Necesito ayuda por favor es para mañana
Elena L [17]

Answer: a. 14/30= 7/15

b. 16/30=8/15

C. 7/15= 47%

D.8/15= 53%

Step-by-step explanation:

3 0
3 years ago
for an interview 60% of the applicants were selected. After the interview 20% for those who were selected go to the job offer​
Y_Kistochka [10]

Answer:

20%

that should be the answer to the question

5 0
2 years ago
O que são números racionais
Dmitrij [34]
<span>Números racionales son números que pueden ser wriiten como una proporción, y pueden ser escritos como una fracción también. Un ejemplo de un número racional sería dos cuartos (2/4), medio (1/2), etc.</span>
6 0
3 years ago
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