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3 years ago

Which of the following is a mixed number? A. 5/2 B. 2.3 C. 2 1/2 D. 2/5

Mathematics

2 answers:

Tom [10]3 years ago

8 0

A 5/2 because the numerator is bigger than the denominator

Wittaler [7]3 years ago

5 0

C, a mixed number is a whole number paired to a fraction.

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A cargo grain leaves Chicago at noon travelling west at 120 km/h. At 2 pm, a passenger train leaves Chicago travelling east at 3

AfilCa [17]

Answer:

a) The trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.

b) At that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.

Step-by-step explanation:

a) First, we need to find the distance traveled by the cargo train in the two hours before the passenger train leaves Chicago:

$x_{1} = v_{1}t_{1} = 120 km/h*2h = 240 km$

Now, we can find the time when the trains will be 1520 km apart:

$1520 km = (x_{1} + 240 km) + x_{2}$

Where 1 is for the cargo train and 2 is for the passenger train.

$1520 km = (v_{1}*t_{1} + 240 km) + v_{2}t_{2}$

Since we need to calculate the time when the trains are 1520 km apart, t₁ = t₂, so:

$1520 km = (v_{1}*t + 240 km) + v_{2}t$

$t = \frac{1520 km - 240 km}{120 km/h + 360 km/h} = 2.667h$

For the cargo train, it will be 1520 km apart from the passenger train at:

$t_{1} = 12 pm + 2 h + 40 min = 2:40 pm$

And for a passenger train, it will be 1520 km apart from the cargo train at:

$t_{2} = 2 pm + 2 h + 40 min = 4:40 pm$

Hence, the trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.

b) The distance traveled by both trains is given by:

$x_{1} = v_{1}*t + 240 km = 120 km/h*2.667 h + 240 km = 560.04 km$

$x_{2} = v_{2}*t = 360 km/h*2.667 h = 960.12 km$

Therefore, at that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.

I hope it helps you!

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2 years ago

What is the measure of the missing angle?

andreyandreev [35.5K]

Since a triangles total angle is 180°, to find the answer you would subtract the 2 angles you are given from 180. 180-56-36= 88°, this being your answer.

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3 years ago

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One bag of lawn & garden fertilizer covers a 1 000 square feet of lawn. How many bags of fertilizer must you purchase to cov

Lady bird [3.3K]

220 x 440 = 96800

96800/1000=96.8

but you can't have .8 of a bag so round in up to 97 bags

I hope this helps!

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3 years ago

At a store, notebooks are on sale for 78% off the regular price. The cost of a notebook is represented by n. Which of the

zlopas [31]

Answer:

Step-by-step explanation:

If the cost is represented by n, why would you subtract the cost of the notebook by 0.78 while multiping it witht the cost?

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2 years ago

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Consider an experiment with a deck of 52 playing cards, in which there are 13 cards in each suit, two suits are black, and two s

lakkis [162]

Answer:

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of playing cards = 52

Number of suits = 4

Number of cards per suit = 13

Number of black suits = 2

Number of red suits = 2

2. Suppose E1 = the outcome is a red card and E2 = the outcome is a face card (K, Q, J). Determine P(E1 or E2).

P (E1) = Number of red cards/Total of playing cards

P (E1) = 26/52 = 1/2 = 50%

P (E2) = Number of face cards/Total of playing cards

P (E2) = 12/52 = 3/13 = 23%

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3 years ago

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