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3 years ago

Find $24.75 as a fraction of $70. Give your answer in its lowest terms.

Mathematics

2 answers:

Luda [366]3 years ago

5 0

Answer: $ $\frac{9.9}{28}$

Step-by-step explanation:

$\frac{24.75}{70}$ is the fraction.

First for convenience, let us convert the decimal into a whole number by multiplying both numerator and denominator by 100. This is not necessary and the final answer will be the same but doing this step will make it easier to divide.

{ $\frac{24.75 * 100}{70 * 100}$ } = $\frac{2475}{7000}$

Now, since it is not in its lowest form we need to simplify it.

For ease, we can find the HCF of 2475 and 7000 which is 25 and divide both numerator and denominator with it.

After simplifying, the final answer is $\frac{99}{280}$ .

However we need to put back the decimal places.

Final answer is $ $\frac{9.9}{28}$

Ugo [173]3 years ago

4 0

Answer:

99/280

Step-by-step explanation:

24.75/70

Multiply the top and bottom by 100

2475/7000

Divide the top and bottom by 25

99/280

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Fourteen hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot an

algol13

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Answer:

128 miles

Step-by-step explanation:

The convict has a head start of ...

distance = speed × time

distance = (8 mi/h) × (14 h) = 112 mi

That distance is being closed at a rate that is the difference between the speeds, so ...

64 mi/h -8 mi/h = 56 mi/h

The time it takes the guards to catch the convict will be ...

time = distance/speed

time = (112 mi)/(56 mi/h) = 2 h

The guards and prisoner will be at a distance from the prison of ...

distance = speed × time

distance = (64 mi/h)(2 h) = 128 mi

The convict will be caught 128 miles from the prison.

<em>Check</em>

The convict will run an additional (8 mi/h)(2 h) = 16 mi after the guards start pursuit. That, in addition to the 112 miles already run, will total 112+16=128 miles, the same distance the guards travel in that 2 hours.

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3 years ago

Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x2+y2=81 and bounded above by the plane z=x and

Natali5045456 [20]

In cylindrical coordinates, the volume is given with

$\displaystyle\int_{\theta=-\pi/2}^{\theta=\pi/2}\int_{r=0}^{r=9}\int_{z=0}^{z=r\cos\theta}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=-\pi/2}^{\theta=\pi/2}\int_{r=0}^{r=9}r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\left(\int_{\theta=-\pi/2}^{\theta=\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=9}r^2\,\mathrm dr\right)$
$=486$

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3 years ago

Read 2 more answers

What is the solution of the system of equations graphed below?

Dahasolnce [82]

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Step-by-step explanation: Look at where the lines intersect

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Under his cell phone plan, Liam pays a flat cost of $69.50 per month and $5 per gigabyte. He wants to keep his bill under $90 pe

natulia [17]

Answer:

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Step-by-step explanation:

You can think of the number of gigabytes he will use as "y", since we don't know the number of gigabytes he will use. The flat cost of one month is $69.50.

You need to add those to calculate the complete cost. The inequality would use a less than sign because he needs to pay less than $90/month. It would not use an inequality sign with a line under it because the problem doesn't say he wants to use $90 or less.

You would solve using basic computation (subtraction and division). Hope this helped!

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2 years ago

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since we have given that

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