Hello,
<u>Set up a proportion</u> :
7 → 21
100 → ?
<u>Cross multiply</u> :
100 * 21 / 7 = 300 students
Bye :)
Answer:
x-intercept: (3,0)
y-intercept: (0,-4)
Step-by-step explanation:
To find the x and y-intercepts, we first need to understand what they are. X and y-intercepts are points on the line that passes through the x-axis and y-axis. When a point is an x-intercept, it passes through the x-axis. This means the x-coordinate is an integer, while the y-coordinate is always 0. This can be denoted by (x,0). When a point is a y-intercept, it passes through the y-axis. This means the y-coordinate is an integer, while the x-coordinate is always 0. This can be denoted by (0,y).
Now that we know what x and y-intercepts are, we can plug in x=0 and y=0 to find the intercepts.
x-intercept
4x-3y=12 [plug in y=0]
4x-3(0)=12 [multiply]
4x-0=12 [add both sides by 0]
4x=12 [divide both sides by 4]
x=3
---------------------------------------------------------------------------------------------------------
y-intercept
4x-3y=12 [plug in x=0]
4(0)-3y=12 [multiply]
0-3y=12 [subtract both sides by 0]
-3y=12 [divide both sides by -3]
y=-4
Therefore, the x-intercept is (3,0) and y-intercept is (0,-4).
3 9
_ * _
15 6
Compare diagonally to see if they the 2 numbers simplify.
Ex:
3 and 6 Simplify to 1 and 2 because they are both multiples of 3.
9 and 15 Simplify to 3 and 5 because they are both multiples of 3 as well.
Now our fractions are
1 3
_ * _
5 2
Now multiply across to get your final fraction/answer
3
_
10
Answer:
x=135°
Step-by-step explanation:
WZ is 180 degrees. Simply subtract 48 from 180.
180-45=135.
Hope this helps!
If not, I am sorry.
Answer:
V = 301 ft^3
Step-by-step explanation:
The volume of a cone is given by
V =1/3 pi r^2 h
We know pi = 3.14 r =6 and
We need to determine h
We can find h from the Pythagorean theorem where 6 is a leg and 10 is the hypotenuse
h^2 +6^2 = 10^2
h^2 +36 = 100
h^2 = 64
Taking the square root of each side
h = 8
V =1/3 pi r^2 h
V = 1/3 (3.14) (6)^2 * 8
V = 301.44 ft^3
Rounding to the nearest cubic foot
V = 301 ft^3
