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tangare [24]
4 years ago
11

A batch of snack mix made of dried fruit and nuts contain 744G of nuts the ratio of nuts to dried fruit by weight is 12 to 13 ho

w much does a batch of snack mix way?
Mathematics
1 answer:
mixer [17]4 years ago
5 0

In a bag of snack mix:

n = nuts       d = dried fruit

n = 744g        d = ???g

Ratio Nuts/Dried fruit = 12/13

This basically means that if the mix was divided in 25 parts, 12 parts would be nuts and 13 would be dried fruits

If 744 is 12 parts then 744/12 is 1 part

744/12 = 62

1 part = 62g

there are 13 parts of dried fruit

13 x 62 = 806

744g of nuts + 806g of dreid fruit = 1550g

Answer: A batch of snack mix weigh 1550g, or 1.55kg

hope it helps :)

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Jon ran around a track that was 1/8 of a mile long,he ran around the track 24 times,how many miles did Jon run
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Hi there 

So, if the track is 1/8 of a mile, let's call every lap a "one-eighth mile" run. We know John ran 24 laps, or that he ran 24 "one-eighth miles," just consecutive, one right after another. Let's stop worrying about rates or tricks or math for a second, and just ask: how many real miles is 24 "one-eighth" miles? We know it's less than 24---a lot less, since you have to go around 8 times just to get to 1 mile. Well wait, if we go around 8 times, we get 1 mile. That means if we go around 28, or 16 times, we get 2 miles; And let's just think to the next full mile---if we go 38, or 24 times, we get 3 miles. He did go around 24 times, so he must have run 3 miles on a 1/8 track.

Division and multiplication are inverses of each other. So we solved this by looking for an intuition for how many full miles corresponded to how many laps, with a bunch of steps of multiplication. But you can cut right to the chase and solve it faster with division---24 laps * 1 mile per 8 laps, means:

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3 years ago
2(3y+5)+y=3 what are the steps to solving this?
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Answer:

Step-by-step explanation: Simplifying

2(3y + -5) + -2 = 3(y + -3)

Reorder the terms:

2(-5 + 3y) + -2 = 3(y + -3)

(-5 * 2 + 3y * 2) + -2 = 3(y + -3)

(-10 + 6y) + -2 = 3(y + -3)

Reorder the terms:

-10 + -2 + 6y = 3(y + -3)

Combine like terms: -10 + -2 = -12

-12 + 6y = 3(y + -3)

Reorder the terms:

-12 + 6y = 3(-3 + y)

-12 + 6y = (-3 * 3 + y * 3)

-12 + 6y = (-9 + 3y)

Solving

-12 + 6y = -9 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.

-12 + 6y + -3y = -9 + 3y + -3y

Combine like terms: 6y + -3y = 3y

-12 + 3y = -9 + 3y + -3y

Combine like terms: 3y + -3y = 0

-12 + 3y = -9 + 0

-12 + 3y = -9

Add '12' to each side of the equation.

-12 + 12 + 3y = -9 + 12

Combine like terms: -12 + 12 = 0

0 + 3y = -9 + 12

3y = -9 + 12

Combine like terms: -9 + 12 = 3

3y = 3

Divide each side by '3'.

y = 1

Simplifying

y = 1

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

4x2+4x+1=(2x+1)2 or  (2x+1)(2x+1)

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