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VARVARA [1.3K]
3 years ago
14

The sum of the speeds of two trains is 724.3 miles per hour. If the speed of the first train is 11.7 mph faster than that of the

second​ train, find the speeds of each.
Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

A=368 miles

B= 356.3 miles

Step-by-step explanation:

Given data

Let the two trains be A and B

A+B=724.3----------1

A-B=11.7--------------2

From eqn 1

A= 724.3-B

put this in place of A in eqn 2

724.3-B-B= 11.7

724.3-2B= 11.7

724.3-11.7= 2B

712.6=2B

B= 712.6/2

B= 356.3 miles

Put B=356.3 in eqn 1

A+356.3=724.3----------1

A= 724.3-356.3

A=368 miles

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The population of California is approximately 38,040,000. The population of Texas is about 2.606 × 107. What is the approximate
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Answer:

The total population of these two states is:

3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41

Therefore, option C is correct.

Step-by-step explanation:

  • The population of California is approximately 38,040,000.
  • The population of Texas is about 2.606 × 10⁷.

Writing the population of California i.e.38,040,000  in scientific notation by moving the decimal point 7 places to the left and dropping the 0's on the right  side as they're after the decimal point now.

i.e.

38,040,000 = 3.804 x 10⁷

So adding 3.804 x 10⁷ and 2.606 × 10⁷

i.e.

3.804\times \:10^7+2.606\times \:10^7

\mathrm{Add\:similar\:elements:}\:10^7\times \:3.804+10^7\times \:2.606=10^7\times \:6.41

Thus, the total population of these two states is:

3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41

Therefore, option C is correct.

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