Answer:
q = 15
Step-by-step explanation:
<u>→First, add 18q to both sides:</u>
-15 - 18q = -20q + 15
-15 = -2q + 15
<u>→Subtract 15 from both sides:</u>
-30 = -2q
<u>→Divide both sides by -2:</u>
15 = q
Answer:
The expression would be 5x + 2y = 20
Step-by-step explanation:
We let x be no of hardcover books, and 5x the cost of those books
Same for paperbacks.
then we add them up to 20.
Done!
Answer:
Step-by-step explanation:
The given data set is:
Week 1: 600
Week 2: 300
Week 3: 500
Week 4: 900
The following are the steps to find the standard deviation:
Step 1. Jim enters the data and calculates the average or mean.

Step 2. Jim calculates the deviation from the mean by subtracting the mean from each value.
Data value (x) 
600 25
300 -275
500 -75
900 325
Step 3. Jim squares each deviation to remove negative signs.
Data value (x) 
600 625
300 75625
500 5625
900 105625
Step 4. Jim sums the squares of each deviation and divides by the count for the variance.

Step 5.Jim takes the square root of the variance to find the standard deviation.

The sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.
<h3>What is a right-angle triangle?</h3>
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right angle triangle showing in a picture.
As we know, the sin is the ratio to opposite to the hypotenuse.
Sinθ = 4/5
Thus, the sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.
Learn more about the right angle triangle here:
brainly.com/question/3770177
#SPJ1
Assuming PQRS is a parallelogram, we have PQ = RS, and angles S and R are supplementary so their measures sum to 180°.
So
5<em>x</em> = <em>x</em> + 12
4<em>x</em> = 12
<em>x</em> = 3
→ PQ = 5<em>x</em> = 15
and
12<em>z </em>° + 6<em>z</em> ° = 180°
18<em>z</em> ° = 180°
<em>z</em> = 180/18 = 10
→ m∠<em>S</em> = 12•10° = 120°