Answer: B
Step-by-step explanation:
To solve the system of equations, use substitution.
x+y =24
Subtract x on both sides
y=-x+24
We can now substitute -x+24 in for y in the second equation.
3x+5y=100
3x+5(-x+24)=100
Distribute the 5
3x-5x+120=100
Subtract the 120 on both sides
-2x=-20
Divide by 2 on both sides
x=10
Substitute 10 in for x in the first equation.
x+y=24
10+y=24
Subtract 10 inches on both sides
y=14
So there are 10 3point questions and 14 5 point questions, so choice B
Hope this helped!
Answer:
50.05 cm^2
Step-by-step explanation:
Ok so first lets find the area of the rectangle before finding the attached triangle. You have to imagine a line separating this shape into a triangle and rectangle.
The rectangle's size is 6.5x5.5=35.75 cm^2
The rectangle's size is 11.7-6.5 to get the base length, which is 5.2
The height is 5.5
So it's 5.2*5.5/2=14.3 cm^2
14.3+35.75=50.05 cm^2
<h2>
Answer and Explanation:</h2><h2 />
The density of a substance is defined as its mass per unit volume. In a mathematical language, this can be written as follows:
From the problem, a student is trying to calculate the density of a ball. She already knows the mass, but is facing a problem because she also needs to find the volume. From geometry, we know that the volume of a sphere is:
Since a ball is a sphere, then the student can use this formula. She just need to measure the radius of the ball and compute the Volumen, then she have to plug both the value of the mass and the value of the Volume in the equation 
. An easy way to find the radius is to take the measure of the diameter of the ball and divide that value by 2.
