All categories

3 years ago

A store had 112 diet sodas. The ratio of diet sodas to regular sodas was 8:4. How many regular sodas were there?

Mathematics

1 answer:

IceJOKER [234]3 years ago

3 0

Answer:

Step-by-step explanation:

There are two ways the answer to this question can be determined

Method 1 : the fast method

We know that 8 is twice 4

4 x 2 = 8

The ratio of diet soda = 8

the ratio of regular sodas = 4

Diet sodas = 112

the number of regular sodas = 112 / 2 = 56

Method 2 : The long method

I would first determine the total number of diet and regular sodas. Let the total number be represented by d

from the question, the following equation can be derived :

(8/12) x d = 112

divide both sides of the equation by 12/8 to determine the value of d

d = 112 x (12/8) = 168

We can now derive a value for the number of regular soda

regular sodas = ( ratio of regular sodas / total soda) x total number of sodas

(4/12) x 168 = 56

You might be interested in

7 + 9 x ( 6 - 2 ) 1. 29 2.43 3. 64 4. 94 please help

timofeeve [1]

Answer:

3. 64

Step-by-step explanation:

7 + 9 x (6 - 2)

16 x 4

Hope it helps

8 0

3 years ago

Read 2 more answers

What value of x is in the solution set of 3(x - 4) 5x + 2? O -10 05 05 O 10

djverab [1.8K]

Id have to say 5
Explanation: distributive property
Sorry if that’s wrong

-HOPE THAT HELPED!! <3

5 0

3 years ago

A class has 24 students. The teacher asks how many students in the class have pets and finds 5/8of the students have pets. Write

katen-ka-za [31]

24 × 5/8 = 15, you can cross multiply by doing x/24 = 5/8 And solve for x

5 0

3 years ago

O que são números racionais

Dmitrij [34]

Números racionales son números que pueden ser wriiten como una proporción, y pueden ser escritos como una fracción también. Un ejemplo de un número racional sería dos cuartos (2/4), medio (1/2), etc.

6 0

3 years ago

The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variab

Alex17521 [72]

Answer: 1.645

Step-by-step explanation:

Given : The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles.

Let $\sigma_1^2$ represents the variance for 16 OZ bottles and $\sigma_2^2$ represents the variance for 12 OZ bottles.

The Null and Alternative Hypothesis will be :-

$H_0:\sigma_1^2\geq\sigma_2^2$

$H_1:\sigma_1^2$ , since alternative hypothesis is left-tailed , then the test is left-tailed test.

By using the standard normal distribution table for z, the critical value for this hypothesis:-

$z_{\alpha}=z_{0.05}=1.645$

6 0

4 years ago

Read 2 more answers