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mart [117]
3 years ago
8

Juanita runs every third day and swims every seventh day. If juanita runs and swims today, in how many days will she run and swi

m again on the same day?
Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0

She will run and swim again on the same day after 21 days.

<u><em>Explanation</em></u>

Juanita runs every third day and swims every seventh day.

For finding the number of days she will run and swim again on the same day, we just need to find the <u>LCM(Least common multiple) of 3 and 7</u>.

As there is no common factor between 3 and 7, so for finding the LCM, we will just multiply 3 and 7.

So, LCM= 3*7= 21

Thus, she will run and swim again on the same day after 21 days.

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Step-by-step explanation:

We have,

Diameter of cylinder, d = 39.2 mm

Radius, r = 19.6 cm

Height of the cylinder, h = 39.2 mm

It is required to find the surface area of this cylinder. The formula of the surface area of cylinder is given by :

S=2\pi rh+2\pi r^2\\\\S=2\pi r(h+r)

Putting all values we get :

S=2\times\dfrac{22}{7}\times19.6\cdot(39.2+19.6)\\\\S=7244.16\ mm^2

7 0
3 years ago
If f(x) = 2x+4, which of the following is the inverse of f(x)?
creativ13 [48]

Answer:

{f}^{ - 1} (x)=  \frac{x}{2}  - 2

Step-by-step explanation:

The given function is

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y = 2x + 4

Interchange x and y.

x = 2y + 4

Solve for y,

x - 4 = 2y

Divide both sides by 2

y =  \frac{x}{2}  - 2

Therefore;

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3 0
2 years ago
5. Henry hit 3 more than half as many home runs as Jack hit last season. Henry hit a total of 8 home runs. a. Make Sense and Per
Evgesh-ka [11]

Answer:

a.  3+\frac{x}{2} =8

b.  x = 10

Step-by-step explanation:

a.  The number of home runs hit by Jack last season = x

It is given that Henry hit 3 more than half as many home runs as Jack hit.

Half of the runs hit by Jack = \frac{x}{2}

3 more than half the runs =  3+\frac{x}{2}

So, the number of home runs hit by Henry =  3+\frac{x}{2}

But, it is given that Henry hit a total of 8 runs.

Therefore,  3+\frac{x}{2} =8

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Subtract 3 from both sides.

\frac{x}{2} =8-3

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x = 5 × 2

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Hence, Jack hit 10 runs in the last season.

6 0
3 years ago
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Answer:

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First, we need to find how much extra water Nathan drinks.

60-38=22 extra ounces.

To find the percent increase:

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Hope this helps :)

7 0
3 years ago
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3 years ago
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