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gregori [183]
3 years ago
15

A train leaves Little Rock, Arkansas, and travels north at 80 kilometers per hour. Another train leaves at the same time and tra

vels south at 65 kilometers per hour.
How long will it take before they are 580 kilometers apart?
It will take hours.
Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0
Distance = rate * time

580 = (80+65) * t
T = 4 hours
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What is the volume of the prism?
mezya [45]

Answer:

40 \frac{5}{8} cm^{3}

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length =  6 \frac{1}{2} cm

width  =  2 \frac{1}{2} cm

height  =  2 \frac{1}{2} cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 \frac{1}{2} cm x 2 \frac{1}{2} cm x 2 \frac{1}{2} cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.

  • 6 \frac{1}{2}  = \frac{13}{2}
  • 2 \frac{1}{2} = \frac{5}{2}

Volume = \frac{13}{2} x  \frac{5}{2} x  \frac{5}{2}

When you multiply everything together you should get \frac{325}{8}.

As a mixed number, that would be 40 \frac{5}{8} cm^{3}.

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2 years ago
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3 years ago
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What is list factors of 36​
oksian1 [2.3K]

Answer:

36 ÷ 1 = 36

36 ÷ 2 = 18

36 ÷ 3 = 12

36 ÷ 4 = 9

36 ÷ 6 = 6

36 ÷ 9 = 4

36 ÷ 12 = 3

36 ÷ 18 = 2

36 ÷ 36 = 1

Step-by-step explanation:

The Postive Factors of 36 are therefore all the numbers we used to divide (divisors) above to get an even number. Here is the list of all Postive Factors of 36 in numerical order:

1, 2, 3, 4, 6, 9, 12, 18, and 36.

Factors of 36 include negative numbers. Therefore, all the Positive Factors of 36 can be converted to negative numbers. The list of Negative Factors of 36 are:

-1, -2, -3, -4, -6, -9, -12, -18, and -36.

How many Factors of 36?

When we counted the Factors of 36 that we listed above, we found that 36 has 9 Positive Factors and 9 Negative Factors. Thus, the total number of Factors of 36 is 18.

Factor Pairs of 36

Factor Pairs of 36 are combinations of two factors that when multiplied together equal 36. Here are all the Positive Factor Pairs of 36

1 × 36 = 36

2 × 18 = 36

3 × 12 = 36

4 × 9 = 36

6 × 6 = 36

9 × 4 = 36

12 × 3 = 36

18 × 2 = 36

36 × 1 = 36

Like we said above, Factors of 36 include negative numbers. Minus times minus equals plus, thus you can convert the Positive Factor Pair list above by simply putting a minus in front of every factor to get all the Negative Factor Pairs of 36:

-1 × -36 = 36

-2 × -18 = 36

-3 × -12 = 36

-4 × -9 = 36

-6 × -6 = 36

-9 × -4 = 36

-12 × -3 = 36

-18 × -2 = 36

-36 × -1 = 36

Factor Calculator

Do you need the factors for a particular number? You can submit a number below to find the factors for that number with detailed explanations like we did with Factors of 36 above.

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What is the square root of 1024?​
Serjik [45]

Answer:

square root of 1024 is 32

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Consider equation of circle x2-2x+y2-4y-4=0,if line 2x-y+a=0 is its diameter then find value of a
g100num [7]

Answer:

Step-by-step explanation:

x² - 2x + y² - 4y - 4 = 0

x² - 2x + y² - 4y = 4

complete the squares

(x² - 2x + x₀) + (y² - 4y + y₀) = 4

the unknown number will be the square of half of the x¹ coefficient

(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4

(x - 1)² + (y - 2)² = 9

This tells us that the circle is centered on (1, 2)

Which is also a point on the diameter

2x - y + a = 0

a = y - 2x

a = 2 - 2(1)

a = 0

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2 years ago
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