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2 years ago

How can you determine if two ratios are equal or equivalent?

Mathematics

1 answer:

Neporo4naja [7]2 years ago

3 0

If the ratio has a multiples in the other ratio of if you simplify the ratio to get the other one

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Rewrite the expression in the form y^n

bazaltina [42]

Answer:

$y^6$

Step-by-step explanation:

$\frac{a^b}{a^c} = a^{b - c}$

Using this rule we have:

$\frac{y^{-7}}{y^{-13}} = y^{-7 -(-13)} = y^6$

6 0

2 years ago

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What is the speed of a car that is traveling 150 miles in 3 hours? Show your work

Ira Lisetskai [31]

Answer:

$speed = \frac{distance}{time} \\ speed = \frac{150}{3} \\ = 50 \: miles \: per \: hour$

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2 years ago

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Express 2x^2+8x+3 in the form 2(x+p)^2+q

e-lub [12.9K]

Answer:

2(x + 2)² - 5

Step-by-step explanation:

Given

2x² + 8x + 3

To obtain the required form use the method of completing the square.

The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x

= 2(x² + 4x) + 3

add/subtract ( half the coefficient of the x- term)² to x² + 4x

= 2(x² + 2(2)x + 4 - 4) + 3

= 2(x + 2)² - 8 + 3

= 2(x + 2)² - 5

with p = 2 and q = - 5

4 0

3 years ago

A movie rental website charges $5.00 per month for membership and $1.25 per movie. How many movies did Andrew rent this month if

DiKsa [7]

13 movies because 16.25 divided by 1.25 equals 13.

3 0

2 years ago

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Round your answer to the nearest hundreth

Juliette [100K]

Answer:

Step-by-step explanation:

Area of a circle is found by using the equation:

$A = \pi r^{2}$

Radius = 1/2 (diameter) = 1/2 (16) = 8

So plug in:

$A = \pi (8)^{2}$

A = 64 $\pi$

A = 201.06193

Rounded A= 201. 06

5 0

2 years ago