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Darina [25.2K]
3 years ago
6

You drink 2/7 of a pitcher of lemonade. Your friend drinks 3/14 of the pitcher. What fraction of the pitcher do you and your fri

end drink?
Mathematics
1 answer:
Strike441 [17]3 years ago
4 0

Answer:

7.8

Step-by-step explanation:

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John is twice as old as his son. In 42 years, the ratio of their ages will be 4:3. What is the son's current age?
dsp73

Answer: Jhon is 42 years old, and his son is 21 years old.

Step-by-step explanation:

Let's define:

J = John's age

S = Age of the son.

We know that:

"John is twice as old as his son"

J = 2*S

"In 42 years, the ratio of their ages will be 4:3. What is the son's current age?"

In 42, their ages will be:

J + 42 and S + 42.

And the ratio 4:3 means that:

(J + 42) = (4/3)*(S + 42)

Then we have the system of equations:

J = 2*S

(J + 42) = (4/3)*(S + 42)

To solve it we can first replace the first equation into the second one, to get:

(2*S + 42) = (4/3)*(S + 42)

2*S  - (4/3)*S = (4/3)*42 - 42

S*(6/3 - 4/3) = (1/3)*42

S*(2/3) = (1/3)*42

S = (3/2)*(1/3)*42 = 21.

And we can find Jonh's age if we use the first equation:

J = 2*S = 2*21 = 42

Jhon is 42 years old, and his son is 21 years old.

8 0
3 years ago
Solve the following problem and show the work. (x - 6)^2 + (y + 1)^2 = 40
Taya2010 [7]

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 1)² = 40 ← is the equation of a circle in standard form

centre = (6, - 1) and r = \sqrt{40} = 2\sqrt{10}

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3 years ago
What are some important features of a prism? In other words, what makes a prism a prism?​
Flauer [41]

Answer:

A solid figure whose bases or ends have the same size and shape and are parallel to one another, and each of whose sides is a parallelogram.

Step-by-step explanation:

8 0
3 years ago
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How do you use the least common multiple to write two or more fractions with a common denominator
Triss [41]
First you compare the denomonators and see if they have any common multiples, then what you do to one side you do to the other so you multiply so you get the same number on both denomonators.finally you multipybthe same number you did ti he botto. to the top.p.s. your welcome
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3 years ago
Helppp pleaseee brainlist ill give 12!!
andre [41]

Answer:

the correct answer is within you

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3 years ago
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