If we assume that
x isthe number of multiple choice questions, and y is the number of word problems, we can write a system of equations like:
{ x + y = 38
{ 2x + 5y = 100
If we multiply the first equation by -2 we get:
{ -2x-2y = -76
{ 2x + 5y = 100
Now if we add both equations we get only equation with 1 unknown (y) :
3y = 24 ⇒ y = 8
Substituting the calculated value to the first equation we get:
x + 8 = 38 ⇒ x = 30
The solution:
{ x = 30
{ y = 8
means that:
The test had 30 multiple choice questions, and 8 word problems.
Answer:
a) well we know the hypotenuse and we know that all sides are 90 degrees, and that its an even square, so if we split it into a triangle , we know that the other 2 angles are 45 degrees total, with this we can calculate the other 2 sides, which round to 10 inches.
b) if we know the sides of the first side, knowing the fact that its a square we know that all sides are even, therefore, all sides are 10 inches, the formula the finding the perimeter is basic:
P=L(2) + W(2)
L being length, W being width and P being perimeter
so we add up all 4 sides, here is the equation:
10 + 10 + 10 + 10 = 10 x 4 = 40
With this, we know that the perimeter is 40 inches total
c) knowing how long the sides are, we can figure out the area through another basic formula:
A=L X W
With A meaning Area
since its a square, we know all the sides are even, so the width and length are both 10...
10 X 10 = 100
Step-by-step explanation:
I Hope I Helped!
Answer:
Rational
Step-by-step explanation:
Pi is a rational number
2x = 7 + 3
2x = 10
x = 10/2
x = 5
S: {5}
