Using proportions, it is found that Paula Radcliffe's World Record time was of 2h 15 min 25s.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In seconds, Dale Grieg's time is of:
3 x 3600 + 27 x 60 + 45 = 12,465s.
The Womens' World Record Marathon time has improved by 34.82%, that is, it was reduced by 34.82%, which means that the time is 65.18% of what it was, hence Paula Radcliffe's time is seconds is given by:
P = 0.6518 x 12465 = 8,125s.
In hours, minutes and seconds, we have that:
8,125s = 2h 15 min 25s.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
16+5w
Step-by-step explanation:
2(5 + w) + 3(w + 2)
5+w evaluates to 5+w
Multiply 2 by 5+w
we multiply 2 by each term in 5+w term by term.
This is the distributive property of multiplication.
Multiply 2 and 5
1
2 × 5 = 10
Multiply 2 and w
Multiply 1 and w
The w just gets copied along.
w
2 × w = 2w
2*(5+w) evaluates to 10+2w
w+2 evaluates to w+2
Multiply 3 by w+2
we multiply 3 by each term in w+2 term by term.
This is the distributive property of multiplication.
Multiply 3 and w
Multiply 1 and w
The w just gets copied along.
w
3 × w = 3w
Multiply 3 and 2
1
3 × 2 = 6
3*(w+2) evaluates to 3w+6
To add the polynomials 10+2w and 3w+6 we try to add or combine terms in one polynomialwith any like terms in the other polynomial.
10 + 6 = 16
2w + 3w = 5w
The answer is 16+5w
2*(5+w)+3*(w+2) evaluates to 16+5w
The final answer is
16+5w
Answer:
Step-by-step explanation:
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Answer:
This is a simple slope intercept form equation: y=ax+b
Where a is the slope and b is the y-intercept, but in this problem the y-intercept is 0 so it is no shown.
The line on the graph would be negative (downward) because of the negative and would be going down by a slope of -5.
-down 5 over 1 ( rise over run )
