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laiz [17]
3 years ago
11

John runs 4 miles in 30 minutes. at the same rate, how many miles would he run in 48 minutes?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0
Make a ratio, then cross multiply.

4/30=x/48

30x=4x48
30x=192
x=6.4
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Describe a real-world situation that the graph could represent. Then describe the possible values for each variable
Alex777 [14]

Answer:

Speed=distance/time i.e. relation between speed-distance-time is one such situation that can be modeled using graph

Step-by-step explanation:

There are many real world examples that can be modeled using graph. Graphs are represented on co-ordinate planes, so any real world example that can be represented by use of linear equation can be represented onto a graph.

One such example, is speed-distance-time relation. Uniform speed can be represented on a graph as shown in figure.

So, the equation for speed is represented by equation as follows:

Speed=distance/time

So, if we take distance on y axis and time on x axis with points as (distance,time)

(0,0) ==> v=0/0=0

(1,2) ==> v=1/2=0.5

(2,2) ==> v=2/2=1

the following points 0,0.5,1 will be plotted on graph. Similarly, more values can be plotted by assuming values for distance and time.

8 0
3 years ago
3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10
wariber [46]

Answer:

The expected value of lateness \frac{7}{20} hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

  Lateness             P (Lateness)

  On Time                     4/5

1 Hour Late                  1/10

2 Hours Late                1/20

3 Hours Late                1/20​

The formula of expected value of a random variable is:

E(X)=\sum x\cdot P(X=x)

Compute the expected value of lateness as follows:

E(X)=\sum x\cdot P(X=x)

         =(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}

Thus, the expected value of lateness \frac{7}{20} hours.

8 0
3 years ago
a landscaper is supposed to plant pine trees, oak trees, and elm trees in a ratio of 48:12:120. At this time, the landscaper onl
iogann1982 [59]

Answer:

Step-by-step explanation:

Coniferous trees keep their needles all year with the exception of tamarack. They are good trees to plant for privacy and wind breaks or shelterbelts

Pines include native white, red, and jack. They have long needles.

Spruces, black and white, and firs. They have short needles. They are important sources of wood fiber in northern Minnesota, and are excellent choices for windbreaks or shelterbelts.

Cedars include white or red. Cedars have scaled needles. Smaller than pines and spruces, cedars can provide wildlife cover and food.

5 0
2 years ago
Read 2 more answers
Henry earned $558.40 for working 32 hours. What is Henry's hourly
arsen [322]

Answer:

18.64 is the answer

4 0
3 years ago
Bobby is having a summer barbecue. He is inviting 7 of his friends. He wants to have enough food for everyone to have two hot do
icang [17]

Answer:

16

Step-by-step explanation:

7 friends = 14 hotdogs + bobby (2 hotdogs) = 16 hotdogs

6 0
2 years ago
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