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bearhunter [10]

3 years ago

11

Using a rain gauge, Gerry determined that 1/2 inch of rain fell during 3/4 of an hour. What is the unit rate of rainfall in inch

es per hour?

2 answers:

pantera1 [17]3 years ago

5 0

Your answer was wrong. You flip 3/4 to 4/3
1/2 ÷3/4 =
1/2 ×4/3 = 4/6
4/6 ÷2 = 2/3 is the answer

mote1985 [20]3 years ago

3 0

1/2 +3/4 = 1 1/4 one and one fourth

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

$speed = \frac{2x+ 1260}{60}$

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

5 0

3 years ago

A picture is mounted on a frame measuring 25 centimeters by

makvit [3.9K]

Answer:

I think it's 1,125 and 4485

Step-by-step explanation:

25x13x3

115x13x3

3 0

2 years ago

Which expressions can be used to find m∠ABC? Check all that apply.

valina [46]

Answer:

$\cos^{-1}(\frac{6.3}{9.8})$

$\sin^{-1}(\frac{7.5}{9.8})$

Step-by-step explanation:

Recall the mnemonics SOH-CAH-TOA

The sine ratio is the length of the opposite side expressed over the hypotenuse.

$\sin m\angle ABC=\frac{7.5}{9.8}$

Take the sine inverse of both sides to get;

$m\angle ABC=\sin^{-1}(\frac{7.5}{9.8})$

The cosine ratio is the length of the adjacent side expressed over the hypotenuse.

$\cos m\angle ABC=\frac{6.3}{9.8}$

Take the cosine inverse of both sides to get;

$m\angle ABC=\cos^{-1}(\frac{6.3}{9.8})$

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Students did push-ups for a fitness test. Their goal was 20 push-ups. For each student,

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Answer:

1- 80%

2- 210%

3- 65%

4- 105%

Step-by-step explanation:

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Peter needs 20 meters of wood for his backyard. The nursery only sells

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Answer:

A

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