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o-na [289]
3 years ago
8

Item 7 you and a friend are running on treadmills. you run 0.5 mile every 3 minutes, and your friend runs 2 miles every 14 minut

es. you both start and stop running at the same time and run a whole number of miles. what is the least possible number of miles you and your friend can run?
Mathematics
2 answers:
sweet [91]3 years ago
5 0
<span>You run 0.5 miles every 3 minutes => 1 mile every 6 minutes. Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes. You run a whole number of miles every number of minutes that is a multiple of 6. Your freind runs a whole number of miles every number of minutes that is a multiple of 7 Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes. This is 7 * 6 = 42 minutes. You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles</span>
34kurt3 years ago
3 0

You run 0.5 miles every 3 minutes => 1 mile every 6 minutes. Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes. You run a whole number of miles every number of minutes that is a multiple of 6. Your freind runs a whole number of miles every number of minutes that is a multiple of 7 Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes. This is 7 * 6 = 42 minutes. You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles




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Factorization for the monomial<br> <img src="https://tex.z-dn.net/?f=48x%5E%7B10%7D" id="TexFormula1" title="48x^{10}" alt="48x^
Schach [20]

Answer:

Some of the possible factorizations of the monomial given are:

(16x^5)(3x^5)

(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)

Step-by-step explanation:

 To factorize the monomia you need to express it as a product of two or more monomials.  Therefore, you must apply the proccedure shown below:

- Descompose into prime numbers:

48x^{10}=2*2*2*2*3*x*x*x*x*x*x*x*x*x*x

- Then, keeping on mind that, according to the Product of powers property, when you have two powers with equal base you must add the exponents, you can make several factorizations.  Below are shown some of the possible factorizations of the monomial given:

(2^4x^5)(3x^5)

(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)

3 0
3 years ago
Read 2 more answers
Please decrease 90 by 20%
Mashcka [7]

Answer:

Step-by-step explanation:

90 by 20%

10%=9

20%=18

90-18=62

Hope u understand

4 0
2 years ago
147 is 3/2 of an original amount. What is the original amount
Dovator [93]

Answer:

98

Step-by-step explanation:

147/3=49x2=98

8 0
3 years ago
What are the partial products of 4.6x3.5
irina [24]
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3 years ago
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jolli1 [7]

Answer: Ian would have drove 91 miles using only 3 gallons of gas.

Step-by-step explanation: I used paper and pencil and used a T-chart putting one section at the top “gallons” and the other “miles”; under gallons I put 7 because the question stated with “7 gallons of gas”; under miles I put 217 because the question states that with 7 gallons of gas Ian’s car travels 217 miles so using the T-chart I want to simply the 7 gallons of gas to one gallon of gas to figure out how miles Ian’s car would go only using 3 gallons of gas; by dividing 7 by 7 giving me 1, and with a T-chart you wanna do the same thing to both sides meaning I divided 217 by 7 as well giving me 31 for 1 gallon of gas, meaning Ian’s car would travel 31 miles with only using 1 gallon of gas. After I find that answer I go to multiply the 1 under “gallons” by 3 to and again, if you do it to one side you have to do it to the other meaning I multiplied 31 my 3 as well; giving me 91. Meaning with only using 3 gallons of gas Ian’s car would travel 91 miles!

3 0
3 years ago
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