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Slav-nsk [51]
3 years ago
7

franco is buying grapes by the pound for every 5 pounds he pays 12 dollars. how much does 1 pound of grapes cost?

Mathematics
1 answer:
RoseWind [281]3 years ago
8 0
12/5 = 2.40

$2.40 per lb

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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
Someone please help me out with number 8 and 9 and 10
Ket [755]

Answer:

9. 0.0539 Liters

10. 216 quarts

Step-by-step explanation:

I dont know the answer to 8 but i do for 9 and 10!

plz drop a brainliest.

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Suppose an empty flatbed railroad car sits on a track as shown below, with a person pulling on a rope with a force of 310 Newton
Lelechka [254]

Answer:

Step-by-step explanation:

a) 310cos25 = 281 N

b) (620 - 281) / cos-18 = 356 N

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2 years ago
Why do I need to pay to see answers....
Korvikt [17]
Same girl oh my god it won’t let me ask anymore questions. Not my fault my math teacher gave me 30 questions to ask
8 0
3 years ago
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Math HELP PLEASEE URGENT NOWWWWWW MATH!!!!
Viefleur [7K]

Answer:

A

Step-by-step explanation:

Answer is the first choice. you can tell by the notation.

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