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2 years ago

2x+5y=02y=3x+17Find x and y

Mathematics

1 answer:

jonny [76]2 years ago

5 0

x=(-83/17) y=(40/17)

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3 years ago

Ecaluate 4 to the 3rd power

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Step-by-step explanation: 4 to the 3rd means 4 times itself three times.

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3 years ago

What Fraction Of The Wall Did Kevin Paint?

Mila [183]

Kevin painted $\frac{1}{9}$ of the wall.

Solution:

Fraction of the wall painted by Elena = $\frac{5}{9}$

Fraction of the wall painted by Matthew = $\frac{3}{9}$

Fraction of the wall painted by Kevin = ?

Full wall can be taken as 1.

To find the wall painted by Kevin:

Rest of the wall = Full wall – painted by Elena – Painted by Matthew

$$=1-\frac{5}{9}-\frac{3}{9}$

$$=\frac{1}{1} -\frac{5}{9}-\frac{3}{9}$

To make the denominator same, multiply the numerator and denominator of the first term by 9.

$$=\frac{9}{9} -\frac{5}{9}-\frac{3}{9}$

$$=\frac{9-5-3}{9}$

$$=\frac{1}{9}$

Rest of the wall = $\frac{1}{9}$

Hence the kevin painted $\frac{1}{9}$ of the wall.

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2 years ago

A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free.

Romashka-Z-Leto [24]

Answer:

The probability that it is grape juice, given that the juice is not sugar free is 0.769 or 76.9%

Step-by-step explanation:

$P(\text{Grape }|\text{ Not sugar free})=\dfrac{P(\text{Grape }\cap \text{ Not sugar free})}{P(\text{Not sugar free})}$

A cooler has 12 apple juices and 15 grape juices. So total 27 juices are there.

Out of 12 apple juices, 9 of the apple juices are sugar free, so 3 are not sugar free.

Out of 15 grape juices, 5 of the grape juices are sugar free, so 10 are not sugar free. So,

$P(\text{Grape }\cap \text{ Not sugar free})=\dfrac{10}{27}$

$P(\text{Not sugar free})=\dfrac{10+3}{27}=\dfrac{13}{27}$

Putting the values,

$P(\text{Grape }|\text{ Not sugar free})=\dfrac{P(\text{Grape }\cap \text{ Not sugar free})}{P(\text{Not sugar free})}=\dfrac{\frac{10}{27}}{\frac{13}{27}}=\dfrac{10}{13}=0.769$

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3 years ago

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