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3 years ago

What's the nearest hundred to 74

1 answer:

5 0

Ok the question dosent make sence you said hundreds place but it only goes up to tenths so if we were going by tenths place the answer would be 70

i hope i helped

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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!

5 0

2 years ago

3/9 + 3/27 = ? Adding fractions

RideAnS [48]

$\frac{3}{9}$ + $\frac{3}{27}$ equals $\frac{4}{9}$ .

First, simplify $\frac{3}{9}$ to $\frac{1}{3}$ and also $\frac{3}{27}$ to $\frac{1}{9}$ . Your problem should look like: $\frac{1}{3}$ + $\frac{1}{9}$ .
Second, find the least common denominator of $\frac{1}{3}$ and $\frac{1}{9}$ to get 9.
Third, make the denominators the same as the least common denominator (LCD). Your problem should look like: $\frac{1x3}{3x3}$ + $\frac{1}{9}$ .
Fourth, simplify to get the denominators the same. Your problem should look like: $\frac{3}{9}$ + $\frac{1}{9}$ .
Fifth, join the denominators. Your problem should look like: $\frac{3+1}{9}$ .
Sixth, simplify. Your problem should look like: $\frac{4}{9}$ , which is the answer.

4 0

3 years ago

A recipe for making 12 cupcakes

Igoryamba

Answer:

16 cups of flour

Step-by-step explanation:

6 0

2 years ago

What is 53,274 in expanded form?

sweet [91]

Answer:

50,000 + 3,000 + 200 + 70 + 4

Step-by-step explanation:

Expand. Set all non-zero digits by itself:

53,274 = 50,000 + 3,000 + 200 + 70 + 4

Remember to fill in 0 for all digits. They must keep their value.

7 0

3 years ago

The graph shows the solution to which system of inequalities?

postnew [5]

Answer:

is A B and D

Step-by-step explanation:

5 0

3 years ago