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professor190 [17]
3 years ago
15

The jogger can run at an average speed of 5.5 miles per hour up the slope and 6.5 miles per hour going down the slope. The jogge

r decides to cover 2 miles by going uphill for 1 mile and then returning 1 mile back down the hill.
Mathematics
1 answer:
Bond [772]3 years ago
7 0
<span>DOC]<span>Venn Diagram Task – Differentiation - Summer Summit

paste that into google and the last page is the answer sheet</span></span>
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the length of a rectangular garden is 3 m greater than the width. The area of the garden is 70m squared. find the dimensions of
Lerok [7]
A = l x w

so you know that the length is 3m longer than the width, so you could use a formula to represent that

w = l + 3

you then substitute the second equation into the first to solve for l

70 = l x (l +3)
70 = l^2 + 3l

you could then rearrange the formula and solve for l using the quadratic formula 

0 = l^2 + 3l - 70

l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2

then you solve for the two seperate roots

l = -3 + 17 /2
l = 14 / 2
l = 7

or 

l = -3 - 17 / 2
l = -20 / 2
l = -10

since a length cannot be negative, this root is not viable. therefore l = 7

to solve for w you would use

w = l + 3
w = 7 + 3
w = 10 

hope this helps! if you did not understand a step or concept please let me know!
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3 years ago
How many bit strings of length 12 contain exactly three "1s"
Inessa [10]
There are \dbinom{12}3=220 such strings, provided that the ordering of the bits doesn't matter.
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kobusy [5.1K]

Answer:

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Step-by-step explanation:

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(a) 34 is 85% of what number?<br> (b) What is 15% of 80?
lana [24]

Answer:

A. 40.          B.12

Step-by-step explanation:

40/34=.85

80*.15=12

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V≈904.78cm³

Step-by-step explanation:

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