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3 years ago

A store has forty two diet sodas and six regular sodas. How many times more diet sodas did they have than regular sodas?

Mathematics

2 answers:

scoundrel [369]3 years ago

6 0

Answer:

Step-by-step explanation:

42/6 = 7

Ray Of Light [21]3 years ago

4 0

Answer:

7 times more diet sodas than regular sodas

Step-by-step explanation:

To know how many times more diet sodas they have than regular sodas you simply have to divide the amount of diet sodas by the amount of regular sodas.

42 / 6 = 7

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Mi is about to roll a six-sided number cube. What is the experimental probability that she will roll an even number based on her

Kryger [21]

Answer: The experimental probability that she will roll an even number= $\frac{1}{2}$

Step-by-step explanation:

We know that the probability for any event is given by6;-

$\text{Probability}=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

In a dice, the total even numbers (2,4,6)= 3

Therefore, the probability that she will roll an even number will be given by:-

$\text{Probability}=\frac{\text{3}}{\text{6}}=\frac{1}{2}$

Hence, The experimental probability that she will roll an even number= $\frac{1}{2}$

6 0

3 years ago

Nathan usually drinks 38 ounces of water per day. He read that he should drink 60 ounces of water per day. If he starts drinking

lesya692 [45]

Answer:

$58\%$

Step-by-step explanation:

First, we need to find how much extra water Nathan drinks.

$60-38=22$ extra ounces.

To find the percent increase:

$\frac{22}{38} =58\%$ (to the nearest percent)

Hope this helps :)

7 0

3 years ago

What are the number of integral solutions of the equation 2x+2y+z=20 such that x>=0 , y>=0 , z>=0?

zaharov [31]

$2x+2y+z=20\\
z=\dfrac{20}{2x+2y}\\
z=\dfrac{10}{x+y}$

Now, for z to be an integer, the sum x+y must be a divisor of 10.
It has to be a positive divisor since z≥0. Also x≠y.

$x+y=1 \\
x=1-y\\
$
x≥0 and y≥0 so y can be equal to either 0 or 1. There are 2 solution in this case.

$x+y=2\\
x=2-y\\$
In this case, y can be equal to 0,1, or 2, but for y=1 ⇒ x=1, so there are two solutions.

$x+y=5\\
x=5-y$
y can be 0,1,2,3,4 or 5 - 6 solutions

$x+y=10\\
x=10-y$
y can be 0,1,2,3,4,5,6,7,8,9,10, but for y=5 ⇒ x=5, so 10 solutions.

2+2+6+10=20 solutions in total.

6 0

3 years ago

Verify the identity and explain how cot(x- pi/2)= -tan x

pav-90 [236]

Answer:

First, let's recall some usefull information:

- cot(x) = 1/tg(x) = cos(x)/sin(x)

- tan(x) = sin(x)/cos(x)

We also know that:

- cos(x - pi/2) = sin(x)

- sin(x - pi/2) = -cos(x)

Now we can use those relationships and get:

cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)

So we have verified the identity, and explained step by step why the identity is true.

8 0

2 years ago

PLEASE HELP ME<br><br><br>the sum of ten and the quotient of a number x and 6

Lerok [7]

Answer:

idk but please help meee!\

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers