Answer:
The System of equation is
.
Step-by-step explanation:
Given:
Let 'x' be the number of questions worth 5 points.
Let 'y' be the number of questions worth 2 points
Total Number of Problems = 29
So the Total Number of Problems is equal to sum of the number of questions worth 5 points and the number of questions worth 2 points.
Framing in equation form we get;
.
Also Given:
Test is of Total Points = 100
Now Total points in test is equal to sum of the number of questions worth 5 points multiplied by and the number of questions worth 2 points multiplied by 2.
Framing in equation form we get;

Hence The System of Equations are
.
First you divide $4000 by 160 to see how much each book costs. Then you multiply 2 times the cost for each book and subtract that from $4000.
$4000/160= $25
$25=1 book
So if the store gives away 2 books that's $50 dollars. $4000-$50 equals 3,950
Answer:
x=20
Step-by-step explanation:
These angles are vertical angles so they are equal.
7x-99 = 2x+1
Subtract 2x from each side
7x-2x -99 = 2x-2x+1
5x -99 =1
Add 99 to each side
5x-99+99 = 1+99
5x = 100
Divide each side by 5
5x/5 =100/5
x = 20
The cosine of angle X is

By the Pythagorean theorem, we have

Then

Multiplying numerator and denominator by 2, we get
.
1313 cups yogurt multiplied by 7 = 9191 cups of yogurt