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Kitty [74]
3 years ago
11

On every 3rd day Ivan goes to the gym to exercise. Every 5th day Gavin goes to the gym to exercise. What is the first day Ivan a

nd Gavin will be at the gym on the same day? During 1 hour of television there are 2 shows on. What is the ratio of hours to shows? If you watch 3 hours of television, what will the ratio be?
Mathematics
1 answer:
PolarNik [594]3 years ago
8 0

Answer:

15th day

1 / 2 ; 1 / 2

Step-by-step explanation:

Given :

Ivan = Every 3rd

Gavin = Every 5th

To Obtain the first day they'll be at the gym a together;

Lowest common multiple of the days :

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24

Multiples of 5 = 5, 10, 15, 20, 25, 30

Lowest common multiple = 15

2.)

Time in hours = 1

Number of shows = 2

Ratio of hours to shows = 1 / 2

Ratio for 3 hours of watching television :

3 * (1 /2) = 3 / 6 = 1 / 2

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polet [3.4K]

Because ratios can be written as fractions
\frac{mulch}{2.25}=\frac{gravel}{1.33}

172 =\frac{mulch}{2.25}+ \frac{gravel}{1.33}
172 - \frac{mulch}{2.25} = \frac{gravel}{1.33}
76.44 mulch = x amount of gravel = 172
Gravel = 172 - 76.44
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4 years ago
If f(x)=x^2+3x+4 which of the number choices represents (f(x+h)-f(x))/h?
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In case you're not already aware, the expression \frac{f(x+h)-f(x)}h is called the "difference quotient" and represents the average rate of change of a function f over an interval [x,x+h].

For the function f(x)=x^2+3x+4, by substituting x+h we get

f(x+h)=(x+h)^2+3(x+h)+4=(x^2+2xh+h^2)+(3x+3h)+4=x^2+3x+4+(2x+3)h+h^2

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Answer:

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Step-by-step explanation:

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