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Sergio039 [100]
3 years ago
15

a student athlete runs 3 1/2 miles in 30 minutes. A professional runner can run 1 1/4 times as far in 30 minutes. How far can th

e professional runner run in 30 minutes?
Mathematics
2 answers:
Elena L [17]3 years ago
7 0
The professional runner can run 2/3 in 30 minutes
tresset_1 [31]3 years ago
3 0
3 1/2 * 1 1/4 =
7/2 * 5/4 =
35/8 = 4 3/8 miles <==
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When dividing 39100 by 100 the digits in the quotient will move how many places to the right
Shalnov [3]
It will be living two places to the edith hope this helps good luck
8 0
2 years ago
200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

6 0
1 year ago
Tangent please help me
atroni [7]
A^2+ b^2= c^2
24^2+b^2=25^2
576+b^2=625
Sub 576
b^2= 49 b=7
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2 years ago
Rachel, a 45-year-old female, bought a $120,000, 20-year life insurance policy through her employer. Rachel is paid biweekly.
Andrew [12]

Answer: the answer is $63.14.

Step-by-step explanation:

I took the test and got it correct.

7 0
2 years ago
Help me please. (Algebra I)
Zepler [3.9K]
The answer is F. 164 tickets were sold for $8 each
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2 years ago
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