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attashe74 [19]
3 years ago
11

ming has a goal to jog 4 1/2 miles each day.On Monday she jogged 5 9/16 miles.By how much did she exceed her goal for that day?

Mathematics
1 answer:
Ann [662]3 years ago
5 0
First, convert 1/2 to 8/16 by multiplying the numerator and denominator by 8. Now, subtract 5 9/16 - 4 8/16. This equals 1 1/16 miles over her goal.

Hope this helps!! :)

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10(2^×) + 7(3^×) = 6^× + 70​
Mkey [24]

Answer:

x = 2.81 and 2.096

Step-by-step explanation:

Given the expression

10(2^x) + 7(3^x) = 6^x + 70​

This can also be expressed as;

10(2^x) + 7(3^x) = (2*3)^x + 70

10(2^x) + 7(3^x) = 2^x*3^x + 70

Let a  = 2^x and b = 3^x

10a + 7b = ab + 70

10a + 7b - ab = 70

10a-ab + 7b - 70 = 0

a(10-b)+7(b-10) = 0

a(10-b)-7(10-b) = 0

a-7 = 0 and 10-b = 0

a = 7 and b = 10

Since a = 2^x

7 = 2^x

log 7 = log2^x

log7 = xlog2

x = log7/log2

x = 2.81

Similarly

10 = 3^x

log 10 = log 3^x

log 10 = xlog3

x = log 10/log 3

x = 1/0.4771

x = 2.096

Hence the values of x that satisfies the equation are 2.81 and 2.096

8 0
2 years ago
in a company 95% of the workers are women if 220 people work for the company who aren't women how many workers are there in all?
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Step-by-step explanation:

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A motorboat covers the distance from one pier to the other pier in 4 hours and the way back in 5 hours. What is the speed of the
aleksklad [387]
R = speed in still water
r + c = speed with current
r - c = speed against current

3.5(r + c) = 70
r + c = 20
c = 20 - r

4(r + c) = distance from pier to pier
5(r - c) = distance from pier to pier
4(r + c) = 5(r - c)
4(r + 20 - r) = 5(r - 20 + r)
80 = 10r - 100
180 = 10r
18 = r
The speed in still water is 18 km/hour
3 0
3 years ago
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