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3 years ago

An ant moves 18 millimeters every 5 seconds

Mathematics

1 answer:

vaieri [72.5K]3 years ago

7 0

Answer:

Step-by-step explanation:

First we need to find their rate of speed.

r = d / t

For ant,

Convert millimeters to inches.

1 inch = 25.4 mm

18 mm = 0.7 inch

r = 0.7 / 5

r = 0.14 inches per second

For beetle,

r = 8 / 3

r = 2.7 inches per second

From the rates, you can tell that the beetle crosses the Garden first.

To know how long it takes for the ant to cross is by dividing the length by the rate.

1 yard = 36 inches

13 yards = 468 inches

468 ÷ 0.14 = 668.5 ≈ 669 seconds

In terms of minutes:

11 minutes and 15 seconds

The ant would cross the garden in 11 minutes and 15 seconds (or 669 seconds up to you).

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Convert 3 qt/min to gallons per hour. 45 gal/h 12 gal/h 180 gal/h 4.5 gal/h

Maslowich

Given:

3 qt/min

To find:

The conversion of 3 qt/min to gallons per hour.

Solution:

We know that,

1 quart = 0.25 gallons

60 minutes = 1 hour

1 minute = $\dfrac{1}{60}$ hour

Using these conversions, we get

$3 \dfrac{qt}{min}=\dfrac{3\times 0.25}{\dfrac{1}{60}}\ \dfrac{gal}{h}$

$3 \dfrac{qt}{min}=3\times 60\times 0.25\ \dfrac{gal}{h}$

$3\ qt/min=45\ gal/h$

Therefore, the correct option is A.

5 0

3 years ago

A hotel must increase its price by 5% per night, if the new price is $168 per night. What was the original cost?

ValentinkaMS [17]

Hey there! I'm happy to help!

We see that if you add 5% to the original cost, we have $168 as our cost. This means that 105% of the original cost is 168. Let's set up an equation to find the original cost. Let's call our original cost c.

To turn a percent into a decimal, you divide by 100.

1.05c=168

We divide both sides by 1.05.

c=160

Therefore, the original cost was $160.

Have a wonderful day! :D

5 0

3 years ago

COMPLETE Find the value of the function for O. sin(45°) = ?

geniusboy [140]

Answer: $\sqrt{2}/2$ which is Choice B

This is the same as writing $\frac{\sqrt{2}}{2}$

The second "2" is not under or inside the square root.

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Explanation:

Refer to the unit circle below. I've highlighted the angle 45 degrees and its corresponding sine value. It's the y coordinate of the point on the unit circle, for this particular angle.

Therefore, $\sin(45^{\circ}) = \frac{\sqrt{2}}{2}$

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You could alternatively draw out a 45-45-90 triangle. Let x be the leg length and the hypotenuse is 1 unit long. Solve $x^2+x^2 = 1$ for x and you should get $x = \frac{\sqrt{2}}{2}$ as the length of each leg.