Answer:
Hope this helps! (:
Step-by-step explanation:
By putting the numbers in the given equation,
2x + 3 + 3x = 7x + 9
5x + 3 = 7x + 9
(5x + 3) - 7x = (7x + 9) - 7x
(5x - 7x) + 3 = 9
-2x + 3 = 9
(-2x + 3) - 3 = 9 - 3
-2x = 6
-x = 3
x = -3
Therefore, our equation is correct which has a negative result.
In place of 6 if we use 8, value of x will be negative again.
Answer:

Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.861.
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The format of the confidence interval is:

In which
is the sample mean
So

Answer:
The constant of proportionality is 1.25 and its meaning is the soup price per can
Step-by-step explanation:
The diagram below shows a proportional relationship between the number of cans of soup and the price.
<u>1st:</u>
$3.75 for 3 cans
per can
<u>2nd:</u>
$6.25 for 5 cans
per can
If x is the number of cans and y is the price of x cans, then

This means the constant of proportionality is 1.25 and its meaning is the soup price per can
In math, "is" means "is equal to"
"of" means "times"
Multiply each side by 10: 0.4 = 'x'