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Svet_ta [14]
4 years ago
15

Write a proportion that relates 30 pages in 120 seconds to output y pages in x seconds

Mathematics
1 answer:
Darina [25.2K]4 years ago
4 0
It would be y*4 because if you divide 120 by 30 you get 4 
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Peggy filled her​ van's gas tank and noted that the odometer read 24 comma 583.9. After the next​ fill-up, it read 24 comma 923.
zubka84 [21]

Answer:

19.4 miles per gallon

Step-by-step explanation:

In this question, we are asked to calculate the distance traveled per gallon of fuel filled into a tank. Hence, this looks like a rate question.

Firstly, we need to know the distance covered during the duration in which the fuel was in the engine. To do this, we subtract the final odometer reading from the initial odometer reading. This is mathematically equal to: 24,923.4 - 24,583.9 = 339.5 miles.

This means she travelled a total distance of 339.5 miles on the 17.5 gallon fuel.

Hence, the miles per gallon gotten by the van is numerically equal to 339.5/17.5 = 19.4 miles/ gallon

3 0
3 years ago
Write the given trinomial if possible as a square of a binomial or as an expression opposite to a square of a binomial: 15ab-9a^
MrMuchimi

Answer:

- \bigg(3a -  \frac{5}{2} b) \bigg)^{2}

Step-by-step explanation:

15ab-9a^2-6  \frac{1}{4} b^2 \\  \\  = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\  \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\  \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\  \\   = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2  \\  \\ =  -  \{ - 15ab + (3a)^2 +  \bigg(\frac{5}{2} b \bigg)^2  \} \\  \\ =  -  \{ (3a)^2 +  \bigg(\frac{5}{2} b \bigg)^2 - 15ab  \} \\  \\  =   - \bigg(3a -  \frac{5}{2} b \bigg)^{2}

3 0
3 years ago
A triangle has sides with lengths of 6 yards, 8 yards, and 10 yards. Is it a right triangle?
yaroslaw [1]

Answer:

Step-by-step explanation:

so, by the Pythagorean theorem

If it is a right triangle:

a^2 + b^2 = c^2

so,

6^2 = 36

8^2 = 64

10^2 = 100

okay, now we plug these into the equation

36 + 64 = 100

so yes, it is a right triangle.

Hope this helped!

5 0
4 years ago
Read 2 more answers
What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches? 1. Apply the formula for the vo
Ksivusya [100]

ANSWER

The area of the base is 14.5π in²

EXPLANATION

The volume of a cylinder is given by

Volume =base\:area \times height

Or

V=Bh

It was given that the volume of the cylinder is 174π in³.

The height was given as 12 inches.

We substitute to get,

174π=12B

Divide both sides by 12 to get:

B=14.5π in²

Hence the area of the base is 14.5π in²

7 0
3 years ago
Please help me Factor x2 − 4x + 5
Nat2105 [25]

Step-by-step explanation:

Look it's so simple once you learn it's very easy you have to multiply the 1 and 3rd digit so answer is 5 now you have to find the factors of 5 so

x2 - 4x + 5

x2 - 5x + x + 5

x (x - 5) +1 (x + 5)

(x - 5) (x + 1) are the factors but please recheck the question maybe there is a mistake in sign because my factors x + 5 and x - 5 this should be one sign either positive or negative

5 0
3 years ago
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