Amy is a local photographer. She charges $225 for a session and $15 for every print the customer

What does it mean for two fractions to be equivalent? For two ratios to be equivalent?

poizon [28]

Answer:

Equivalent fractions and ratios mean that when simplified, they are the same one fraction or ratio. see examples below.

Step-by-step explanation:

For example, the fraction 1/2 is the same as 2/4 or 15/30 because when you simplify them, they are still 1/2. Therefore they are equivalent.

For example, the ratio 1:2 is the same as 5:10 or 10:20 since when broken down they all come down to 1:2. Hence they are equivalent.

Hope this answers your question.

3 0

2 years ago

Kelly reduced the size of a portrait to have a width of 10 inches. if she used a scale of 1 inch :2 inches, what was the width o

NARA [144]

So basically you use the ratio they have given you. You either multiply by 2 if image is enlarged or divide by 2 if it is reduced. (Keep in mind I got the 2 from your ratio : 1inch : 2inches) Therefore the find the original width, you multiply 10 by 2, giving you 20 inches.

6 0

3 years ago

Select all the correct locations on the table.

katovenus [111]

Exercise 1:
exponential decay:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 600
We look for b:
(480/600) * (100) = 80%
b = 0.8
Substituting:
y = 600 * (0.8) ^ ((1/3) * t)
We check for t = 6
y = 600 * (0.8) ^ ((1/3) * 6)
y = 384
Answer:
exponential decay:
y = 600 * (0.8) ^ ((1/3) * t)
Exercise 2:
linear:
The function is given by:
y = ax + b
Where,
a = -60 / 2 = -30
b = 400
Substituting we have:
y = -30 * x + 400
We check for x = 4
y = -30 * 4 + 400
y = 280
Answer:
linear:
y = -30 * x + 400
Exercise 3:
exponential growth:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 512
We look for b:
(768/512) * (100) = 150%
b = 1.5
Substituting:
y = 512 * (1.5) ^ ((1/2) * t)
We check for t = 4
y = 512 * (1.5) ^ ((1/2) * 4)
y = 1152
Answer:
exponential growth:
y = 512 * (1.5) ^ ((1/2) * t)

8 0

3 years ago

The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The

otez555 [7]

Answer:

empirical rule: 81.5%

table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

z = (35,000 -30,000)/5,000 = 1

Empirical rule solution

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

(100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

__

Calculator solution

A probability calculator for the Normal distribution tells you that ...

P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

6 0

2 years ago

a recipe requires 2.5 teaspoons of sugar to make a candy bar. which equation shows the number of teaspoons of sugar, y, needed t

padilas [110]

If you would like to know the equation that shows the number of teaspoons of sugar needed to make x candy bars, you can calculate this using the following steps:

2.5 teaspoons of sugar ... 1 candy bar
y teaspoons of sugar = ? ... x candy bars = ?

2.5 * x = 1 * y
2.5 * x = y
y = 2.5 * x

The correct result would be y = 2.5 * x.

5 0

3 years ago