Answer:
3 in
Step-by-step explanation:
Sum of all sides of ∆ = perimeter
Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:
Solve to find the value of x
Multiply both sides by 2
Subtract 2 from both sides
Divide both sides by 3
The shortest side = (x - 5) in
Plug in the value of x
= (8 - 5) in
= 3 in
9514 1404 393
Answer:
62.5 oz of 100%
Step-by-step explanation:
Let p represent the number of ounces of pure syrup. Then (100-p) is the number of ounces of 60% syrup. The amount of maple syrup in the desired mix is ...
p +0.60(100 -p) = 0.85(100)
0.40p +60 = 85 . . . . . . . . . . . simplify
0.40p = 25 . . . . . . . . . . subtract 60
p = 62.5 . . . . . . . . . divide by 0.4
62.5 ounces of pure syrup should be mixed with the diluted syrup to make 100 ounces of 85% maple syrup.
_____
The other 37.5 ounces will be 60% syrup.
Answer:
9 blue balloons
Step-by-step explanation:
Let's create a proportion using the following set up.
blue balloons/total balloons=blue balloons/total balloons
We know that 10 blue balloons were sold if 20 total balloons were sold. We don't know how many blue are are sold if 18 total are sold. Therefore, we can say x blue are sold for 18 total sold.
10 blue/20 total=x blue/18 total
10/20=x/18
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 18. The opposite of division is multiplication. Multiply both sides by 18.
18*(10/20)=(x/18)*18
18*(10/20)=x
18*1/2=x
9=x
If 18 balloons are sold, 9 blue balloons would be expected to be sold.
Y = -2x^2
h = Xv = -B/2A = 0/-4 = 0.
k = -2*0^2 = 0.
V(0,0).
Use the following points for graphing:
Y = -2x^2.
(x,y)
(-2,-8)
(-1,-2)
V(0,0)
(1,-2)
(2,-8)
Y = -2x^2 + 4.
h = Xv = -B/2A = 0/-4 = 0.
k = Yv = -2*0^2 + 4 = 4.
V(0,4).
(-2,-4)
(-1,2)
V(0,4)
(1,2)
(2,-4)
Answer:
Step-by-step explanation:
x₁ = 0 ; y₁=0 &
x₂ = 1 ; y₂=2
Slope =
Slope = 2
