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ollegr [7]
2 years ago
8

Two trains leave a station at the same time. One train is heading south at a rate that is 1.5 times faster than the other train,

which is heading north. After 5 hours, the trains are 750 miles apart. At what speed, in mph, are the two trains getting farther away from each other?
Mathematics
1 answer:
Klio2033 [76]2 years ago
5 0

Answer:

  150 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  speed = distance/time

<h3>Application</h3>

The trains have separated 750 miles in 5 hours, so their rate of separation is ...

  (750 mi)/(5 h) = 150 mi/h

The trains are separating at a speed of 150 mph.

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What is the volume of the figure?
atroni [7]

Step-by-step explanation:

= 24 × 17 × 12

= 4,896 in³

= 12 × 10 × 4

= 480 in³

The volume of the figure

= 4,896 + 480

= 5,376 in³

8 0
3 years ago
a father is now 38 years older than his son. Ten years ago he was twice as old as his son. let x represent the age of the son no
Helga [31]

The present age of father is 86 years old and present age of son is 48 years old

<em><u>Solution:</u></em>

Given that, a father is now 38 years older than his son

Ten years ago he was twice as old as his son

Let "x" be the age of son now

Therefore, from given,

Father age now = 38 + age of son now

Father age now = 38 + x

<em><u>Ten years ago he was twice as old as his son</u></em>

Age of son ten years ago = age of son now - 10

Age of son ten years ago = x - 10

Age of father ten years ago = 38 + x - 10

Then we get,

Age of father ten years ago = twice the age of son ten years ago

38 + x - 10 = 2(x - 10)

28 + x = 2x - 20

2x - x = 28 + 20

x = 48

Thus son age now is 48 years old

Father age now = x + 38 = 48 + 38 = 86

Thus present age of father is 86 years old and present age of son is 48 years old

7 0
4 years ago
The denominator of a fraction is 9 more than the numerator. if both the numerator and the denominator are decreased by 1 the res
yarga [219]
X/x+9 (original fraction)

x+1/ x+10 = 4/13

x+1=4 so x=3 and x+10=13 so again x=3

now that you have the value of x, substitute it into the original fraction to get:

3/12
5 0
3 years ago
Estimate the sum 8/10 + 1/9
RideAnS [48]

Answer:

41/45

Step by Step Explanation:

Add: 8/

10

+ 1/

9

= 8 · 9/

10 · 9

+ 1 · 10/

9 · 10

= 72/

90

+ 10/

90

= 72 + 10/

90

= 82/

90

= 2 · 41/

2 · 45

= 41/

45

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/

45

.

In other words - eight tenths plus one ninth = forty-one forty-fifths.

8 0
3 years ago
What is the value of x?
Hitman42 [59]

\triangle ABD\sim\triangle CAD\ \text{therefore the sides of triangles are in proportion}\\\\\dfrac{x}{12}=\dfrac{12}{27}\ \ \ |cross\ multiply\\\\27x=144\ \ \ |:27\\\\x=\dfrac{144}{27}\\\\x=\dfrac{16}{3}\\\\\boxed{\text{Answer:}\ B.\ \dfrac{16}{3}}

4 0
4 years ago
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