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e-lub [12.9K]
3 years ago
10

The line a bus arrives at the bus stop every 25 minutes, and the line b bus arrives every 15 minutes.Both are at the stop right

now. On how many will both be at the bus stop again
Mathematics
1 answer:
vova2212 [387]3 years ago
5 0

Answer:

  after 75 minutes

Step-by-step explanation:

The least common multiple (LCM) of 15 and 25 is 75. It can be found a couple of ways:

1. List the factors of each number and find the product of the unique ones:

  15 = 3·5

  25 = 5²

The LCM is 3·5² = 75.

__

2. Find the greatest common divisor (GCD) and divide the product of the numbers by that value. From the above list of factors, we see that 5 is the GCD of 15 and 25. Then the LCM is ...

  15·25/5 = 75

__

Or, you can simply list multiples of each number and see what the smallest number is that is in both lists:

  15, 30, 45, 60, <em>75</em>, 90

  25, 50, <em>75</em>, 100

__

The two buses will appear together again after 75 minutes.

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5. Find the volume of the composite space figure to the nearest whole number. (1 point)
-BARSIC- [3]

Answer:

  (d)  944 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

__

<h3>base area</h3>

Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

  A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

  A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

  31.809 mm² +54 mm² = 85.809 mm²

<h3>prism volume</h3>

The prism volume is this area multiplied by the length of the figure:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the figure is about 944 mm³.

8 0
1 year ago
4/f + 11 =29 what does f =
Delvig [45]
\frac{4}{f} + 11 = 29

First, subtract '11' from each side.
\frac{4}{f} = 29 - 11

Second, subtract '29 - 11' to get '18'.
\frac{4}{f} = 18

Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.
4 = 18f

Fourth, once again, we need to get 'f' alone. Divide both sides by 18. 
\frac{4}{18} = f

Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).

Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18

Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.

Sixth, divide the numerator and denominator by the GCF (2).
4 \div 2 = 2  \\  18 \div 2 = 9

Seventh, we can now rewrite our fraction in simplest form and switch sides.
f =  \frac{2}{9}

Answer in fraction form: \fbox {2/9}
Answer in decimal form: \fbox {0.2222}

7 0
3 years ago
Read 2 more answers
Evaluate -|p| when p = 19. PLS HELP
posledela

Answer:

-19

Step-by-step explanation:

|19|=19

-1 * 19=-19

5 0
2 years ago
Help help help help
Crank

Answer:

  C = 18

Step-by-step explanation:

Put the numbers in place of their symbols and do the arithmetic. The diagram is showing you r = 3.

  C = 2πr

  C = 2(3)(3) . . . . . using 3 for π, as directed

  C = 18

3 0
2 years ago
Read 2 more answers
A parking lot has 916 parking spaces that are shaped like parallelograms. The base of each space is 10 feet, and the height of e
dmitriy555 [2]
The area of a parallelogram is A=bh

A=10(18.5) \\ A=185

I am assuming you're asking for the entire parking lot, so you would have to multiply the above area by 916

185(916) = 169,460  ft^{2}

So the answer is (D)

7 0
3 years ago
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