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:
domain is the x axis points and range is the y axis points
Step-by-step explanation:
just mark the points on x axis and y axis then put them from left to right or bottom to top but i think you have the right answer there
The <u>correct answer</u> is:
20 feet.
Explanation:
48 ft would be the measurement of the base of the right triangle formed by the flagpole and the ground. We are trying to find the height of the flagpole, which is the other leg of this right triangle.
The measurements we have for the second triangle are 5 and 12. Since she is 12 feet away from the mirror, the base of the triangle is 12. Her eye level is at 5 feet, so this is the height of the triangle.
Since we know these triangles are similar, we can use proportions to solve this. 48 is to 12 (base is to base) as the unknown height is to 5 (height is to height):
48/12 = x/5
Cross multiply:
48*5 = 12*x
240 = 12x
Divide both sides by 12:
240/12 = 12x/12
20 = x
The unknown height is 20 feet.
We'll say that months = n.
Make a set of the DVD's sold:

In month 1, Aaron sold 20 DVDs. There is no data for month 0.
There is a constant increase of 30 DVDs every month. We can make an equation out of this to fit this data set:

a represents the DVDs made.
We need to subtract 10 in this equation, as the starting point is 20, and the increase of 30 is different from the increase from n = 0 to n = 1.
We are looking for the amount of DVDs Aaron sold on the 13th month. Plug 13 into the equation:


The predicted number of DVDs Aaron will sell on the 13th month is
380.
B, just because the diagonals are perpendicular doesn't mean they are equal in length, you can get a Kite with perpendicular diagonals