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3 years ago

Of the 245 7th graders, 40% of them are in band. How many 7th graders are in band?

1 answer:

8 0

Answer: 98 students

Explanation:
1. Turn 40% into a decimal by removing the “%” and placing “0.” In front of it. (0.4)
2. Multiply the decimal (0.4) by the number of students (245) to get the answer. (0.4x245=98)

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Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s a

Nimfa-mama [501]

Answer:

Step-by-step explanation:

When Riko left his house, Yuto was 5.25 miles along the path.

Average speed of Riko = 0.35 miles per minute

Average speed of Yuto = 0.25 miles per minute

First we will calculate the time in which Riko will catch Yuto on the track.

Relative velocity of Riko as compared to Yuto will be = velocity of Riko - velocity of Yuto

= 0.35 - 0.25

= 0.10 miles per minute

Now we this relative velocity tells that Riko is moving and Yuto is in static position.

By the formula,

Average speed = $\frac{Distance}{Time}$

0.10 = $\frac{5.25}{t}$

t = $\frac{5.25}{0.1}$

t = 52.5 minutes

Now we know that Rico will catch Yuto in 52.5 minutes. Before this time he will be behind Yuto.

So duration of time in which Rico is behind Yuto will be 0 ≤ t ≤ 52.5

Here time can not be less than zero because time can not be with negative notation. It will always start from 0.

3 0

3 years ago

Read 2 more answers

Is 3x = 2y a linear equation?

mel-nik [20]

Answer:

yes

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Which graph matches the equation y+3=2(x+3)? Mark this and return

harkovskaia [24]

Answer:

x= y+3/2 -3

Step-by-step explanation:

y+3/2=x+3

y+3/2-3=x

5 0

2 years ago

Read 2 more answers

A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represen

pshichka [43]

Answer:

Step-by-step explanation:

d = r* t Divide both sides by t

d/t = r

r = d/ t

d = 800000

t = 4 hours

r = 800000 / 4

r = 200000 meters/hour

r = 200000 meters / hour * [ 1 km / 1000 meters]

r = 200 km / hr

I imagine you are more familiar (especially if you live anywhere but the states) with 200 km/ hour. I am very doubtful that any bird can keep that up for 4 hours. 200 km / hour is equal to about 125 miles / hour. There are few places that will allow a car to travel at that speed. You should be using km/hour because you (should) be more familiar with the units.

4 0

2 years ago

A taxi driver provides service in two zones of a city. Fares picked up in zone A will have destinations in zone A with a probabi

sammy [17]

Answer:

The taxi driver's average profit per trip is 4.4.

Step-by-step explanation:

Probability of fares picked up in zone A with destinations in zone A = 0.6

Probability of fares picked up in zone A with destinations in zone B = 0.4

Probability of fares picked up in zone B with destinations in zone A = 0.3

Probability of fares picked up in zone B with destinations in zone B = 0.7

The driver's expected profit for a trip entirely in zone A = 6

The driver's expected profit for a trip entirely in zone B = 8

The driver's expected profit for a trip involving both zones is 12

The taxi driver's average profit per trip:

zone A with destinations in zone A = 0.6 * 6 = 3.6

zone A with destinations in zone B = 0.4 * 12 = 4.8

zone B with destinations in zone A = 0.3 * 12 = 3.6

zone B with destinations in zone B = 0.7 * 8 = 5.6

Total profit expected for 4 trips = 17.6

Average profit per trip = 4.4 (17.6/4)

7 0

2 years ago