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3 years ago

Help with equivalent ratios?

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

7 0

Answer:

See below.

Step-by-step explanation:

Problem 1:

All answers are correct.

Problem 2:

You have the ratio 240 to 1/5. You want an equivalent ratio of some number to 1. You need to change the second number from 1/5 to 1. For equivalent ratios, you can multiply or divide both numbers of the ratio by the same number. What multiplication can you do to 1/5 to end up with 1? Multiply 1/5 by 5 since 5 * 1/5 = 1. The multiplication you do to 1/5 to end up with 1 is "multiply by 5." Since you must do the same multiplication or division to both numbers of a ratio, you multiply both 240 and 1/5 by 5 to get an equivalent ratio.

Answer: Multiply by 5

Problem 3:

The ratio is 240 ft to 1/5 minute.

We saw in problem 2 that you must multiply both numbers by 5 to end up with 1 as the second number, so let's do those multiplications.

240 ft to 1/5 minute =

= 240 ft * 5 to 1/5 minute * 5

= 1200 ft to 1 minute

We see that the rate 240 ft to 1/5 minute is equivalent to the rate 1200 ft to 1 minute.

Answer: 1200 ft/minute

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What are the factors of 408?

melisa1 [442]

Answer:

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Step-by-step explanation:

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3 years ago

Read 2 more answers

Jayson reads the first 48 pages of a 480-page book in 3 days. Marcus reads the first 50 pages of a 400-page book in 4 days. Nina

boyakko [2]

Answer:

Nina will finish first.

Step-by-step explanation:

Let's calculate how many pages each person reads in one day:

Jayson ⇒ 48 pages / 3 days = 16 pages/day

Marcus ⇒ 50 pages / 4 days = 12.5 pages/day

Nina ⇒ 120 pages / 5 days = 24 pages/day

Then we divide the number of pages of each book by reading speed of the respective person:

Jayson ⇒ 480 pages ÷ 16 pages/day = 30 days

Marcus ⇒ 400 pages ÷ 12.5 pages/day = 32 days

Nina ⇒ 600 pages ÷ 24 pages/day = 25 days

Thus Nina will take the shortest time finishing her book.

3 0

3 years ago

Find the radius of the circle. The center of the circle is (2, -3) and a point that lies on the circle is (-1, -2).

kirill [66]

Answer:

$\displaystyle r = \sqrt{10}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Geometry

Definition of a radius - the center of a circle to any point to the circumference

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Center (2, -3) → x₁ = 2, y₁ = -3

Circumference point (-1, -2) → x₂ = -1, y₂ = -2

In this case, the distance d from the center to the circumference point would be the radius r of the circle.

Step 2: Find Radius r

[Distance Formula] Define equation [Radius]: $\displaystyle r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Substitute in points [Radius]: $\displaystyle r = \sqrt{(-1-2)^2+(-2--3)^2}$
[Radius] [√Radical] (Parenthesis) Simplify: $\displaystyle r = \sqrt{(-1-2)^2+(-2+3)^2}$
[Radius] [√Radical] (Parenthesis) Subtract/Add: $\displaystyle r = \sqrt{(-3)^2+(1)^2}$
[Radius] [√Radical] Evaluate exponents: $\displaystyle r = \sqrt{9+1}$
[Radius] [√Radical] Add: $\displaystyle r = \sqrt{10}$

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3 years ago

Help MATH ASAP MARKING BRIANLIT!!

FinnZ [79.3K]

Answer:

-41

Step-by-step explanation:

The change is -2

(-2*20)-1 = -41

5 0

4 years ago

A medical student is conducting a study to track boys’ weight from age 5 to age 18. The student graphs some data and determines

katrin2010 [14]

Answer:

A. The increase in the number of pounds a boy gains each year.

Step-by-step explanation:

A medical student is conducting a study to track boys’ weight from age 5 to age 18. The student graphs some data and determines the line of best fit is

y = 1.73x + 80.13 ............ (1)

where x represents the age of the boys and y represents the weight of the boy corresponding to his age.

Therefore, the slope of the equation (1) represents the increase in the number of pounds a boy gains each year. (Answer)

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3 years ago