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Ksju [112]
3 years ago
10

Samuel can do 120 jumping jacks in two minutes.

Mathematics
2 answers:
ikadub [295]3 years ago
6 0
The rate is 60 jumping jacks per minute
ki77a [65]3 years ago
4 0

Answers:

What is the ratio?         120:2

What is the unit rate?   60:1

What is the rate?          60 jumping jacks per minute

===================================================

Further Explanation:

To find the ratio of jumping jacks to minutes, you just write the two values 120 and 2 separated by a colon. That's how we get 120:2 as our first answer.

--------

Once we have 120:2, we divide both parts by 2 to get 60:1

120/2 = 60

2/2 = 1

The reason why we do this is so that the "2 minutes" turns into "1 minute". A unit ratio has the time value in unit increments so we can see how many jumping jacks Samuel can do. Writing "60:1" means "60 jumping jacks in 1 minute"

-------

Saying "60 jumping jacks in 1 minute" is the same as saying "60 jumping jacks per minute", which is similar to a car's speed of something like 60 miles per hour. The unit "X per Y" is the template for speed, where X is the number of items you get done and Y is the unit of time. In this case, X = 60 jumping jacks and Y = 1 minute.

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Answer:

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Step-by-step explanation:

When factoring quadratics, you need to multiply each term with the other term.

So In this case, in the first box, you must do 4x² times 2x, which gives you 8x³.

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6 0
3 years ago
Nine times the sum of a number and 4 is 2
Anna11 [10]

Answer(s):

If you are asking for the equation, it's 9(x+4)=2

However, if you're asking for the value of x as well, it's -34/9

Step by Step:

1) First we must find the equation. In your question, the unknown number is x. Therefore we can know that "the sum of a number and 4" is (x+4). Since we are multiplying this sum by 9, we can put the 9 in front of this expression to multiply it--getting 9(x+4). And since we know it "is 2" we can say that 9(x+4)=2.

2) Now, we have to solve the equation, 9(x+4) = 2

3) We can start by distributing, 9x+36 = 2

4) Now let's move 36 to the right by subtracting from both sides, 9x = -34

5) To isolate x, let's divide both sides by 9, x = -34/9

6) Our fraction answer can't be simplified, so we get x = -34/9

7 0
3 years ago
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Step-by-step explanation:

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2 years ago
The price of oil recently went from ​$10.50 to ​$12.60 per case of 12 quarts. Find the ratio of the increase in price to the ori
wolverine [178]
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<u>(12.60-10.50)
</u>     10.50
<u>
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</u>10.50
<u>
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</u>1050
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Is greater than or equal to, minus, 5.
My name is Ann [436]

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x≥-5

Step-by-step explanation:

x

7 0
2 years ago
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