Answer: 51
Step-by-step explanation:
let x be the number.
(70%)x = 42
0.7 x = 42
x = 60
we check 15% x 60 = 0.15 x 60 = 9, which is true.
85% of that number = 85% x 60 = 0.85 x 60 = 51.
Answer:Ok I This question can be solved using a system of equation, which requires translating the above word problem into something that can be algebraically
Let O=oranges and Let G=Grapefruit
5O +8G=235
3O + 2G=85
To solve, you must isolate one of the variables and then work from there. To do that multiply both sides of the bottom or second equation by four and then subtract the bottom equation from the top.
Which would look like this
5O +8G=235
12O + 8G= 340
Then subtract the bottom from the top to get this
-7O=-105
Solving for O we divide both sides by -7, and end up with O=15
Plugging that value back into one of our original equations to solve for G we get this
3(15) + 2G= 85
45 +2G=85
2G=40
G=20
So 1 case of each altogether would equal 15+20, or $35.
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Step-by-step explanation:
Answer:
Yes, the distance from the origin to the point (8,√17) is 9 units.
Step-by-step explanation:
The equation of a circle centered at the origin with radius , r has equation:

Since the circle passes through (0,-9), the radius is 9 units because (0,-9) is 9 units from the origin.
We substitute the radius to get:


If (8,√17) lies on this circle, then it must satisfy this equation:

This is True.
This means the distance from (8,√17) is 9 units from the origin.
39 square feet
6.25 squared is 39.0625