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skelet666 [1.2K]
3 years ago
14

A train travels 524 miles in 412 hours. Which expression gives the train's speed in miles per hour?

Mathematics
1 answer:
Dimas [21]3 years ago
3 0

Answer:

The train's speed in miles per hour is 1.27 miles per hour. Hope this helps and have a nice day.

Step-by-step explanation:


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Which expression is equivalent to  4 7/8 ÷ 4 1/4​
cupoosta [38]

Answer:

Improper fraction: 39/34

Proper fraction: 1 5/34

Decimal: 1.147 (rounded to the nearest thousandths).

Step-by-step explanation:

Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:

4 7/8 ÷ 4 1/4

First, change all fractions into improper fractions:

4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8

4 1/4 = (4 * 4)/4  + 1/4 = 16/4 + 1/4 = 17/4

Next, find common denominators. Note that what you do to the denominator, you must do the numerator:

(17/4) * (2/2) = (34/8)

39/8 ÷ 17/4

Solve. First, change the division sign into multiplication, and then flip the second fraction:

39/8 ÷ 17/4 = 39/8 x 4/17

Multiply straight across:

39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.

~

7 0
3 years ago
A construction crew built
Leona [35]

Answer:

4 miles in 1 day

Step-by-step explanation: Multiply 8 by the numerator for how many miles of road; That is how many halves of miles are built in a single day. Simplify that and they build 4 miles of road a day.

4 0
3 years ago
What is the solution to <br> 4/a+5/3a&lt;3
scoray [572]
\dfrac{4}{a}+\dfrac{5}{3a} < 3\ \ \ |-3\ \ \ assume\ a\neq0\\\\\dfrac{3\cdot4}{3a}+\dfrac{5}{3a}-\dfrac{3a\cdot3}{3a} < 0\\\\\dfrac{12+5-9a}{3a} < 0\\\\\dfrac{-9a+17}{3a} < 0\iff 3a(-9a+17) < 0\\\\3a=0\to a=0\\\\-9a+17=0\to a=\dfrac{17}{9}
Look at the picture.
Answer:\ a\in\left(0;\ \dfrac{17}{9}\right)

3 0
3 years ago
Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below:
oksian1 [2.3K]
X = -4
As g(x) is replaced by g(-4)
plug in -4 for x inside the equation.
g(-4) = (-4) - 1g(-4) = -5
Plug in -4 for x in f(x)f(-4) = 4(-4) - 4f(-4) = -16 - 4f(-4) = -20
Now solve for f(x) over g(x)
remember, f(x) = -20, and g(x) = -5
-20/-5  = 4
4 should be your answer
hope this helpsClick to let others know, how helpful is it

5 0
4 years ago
Peanuts are priced at 3.38 per pound. Derek buys a sack of peanuts for 15.82. Which measurement is a reasonable estimate of the
Rashid [163]

Given :

Price per pound of peanuts is, P = $3.38 .

Derek buys a sack of peanuts for $15.82.

To Find :

The weight of the peanuts that are in the sack.

Solution :

Let, weight of peanuts that are in the sack are x.

So, x = \dfrac{15.82}{3.38}\\\\x = 4.68\ pounds

Therefore, number of pounds in the sack is 4.68 pounds.

5 0
3 years ago
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