Answer: 51°
Step-by-step explanation:
3:5
x:85°
85/5=17
3x17=51
So, 51° is the answer!
Hope this helped! ;)
For this case, the first thing we must do is define variables.
We have then:
m: original quantity of merchandise sold (in $)
We then have the following idea:
(original amount) (percent) = new amount
The new amount is the amount that Jacqueline earns for 12% of the commission on sales.
We have then:

Clearing m we have:

Answer:
The equation that solves the problem is:

The amount she sold is:

1) Set up proportions for the ratios:

Cross multiply the fractions:

Divide both sides by 2 to get x by itself.

5 to 2 is equal to
10 to 4.
------------
2) Set up proportions for the ratios:

Cross multiply the fractions:

Divide both sides by 21 to get x by itself:

14 to 21 is equal to
10 to 15.
------------
OPTIONAL:
To make 2) easier to solve, simplify 14 to 21.

Then, continue with the problem as described above:



Answer:
Vincent and Reyna.
Step-by-step explanation:
As z-score indicates that a data point is how many standard deviation above mean, so to find which of three applicant should be offered the job, let us find the z-score for each person using z-score formula.
, where,
= z-score,
= Random sample score,
= Mean,
= Standard deviation.



Therefore, Vincent's score on aptitude test is 1.7 standard deviation above mean.



Therefore, Kaitlyn's score on aptitude test is 0.6 standard deviation above mean.
Therefore, Reyna's score on aptitude test is 1.2 standard deviation above mean.
Since Vincent and Reyna has higher z-scores, therefore, they are further above mean than Kaitlyn. Therefore, Vincent and Reyna should be offered the job.