72 × 1.4666666666667 = 105.6 feet per second
Answer:
Step-by-step explanation:
From the first receipt:
2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:
2g + 4o = 10.70
From the second receipt:
3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:
3g + 2o = 9.65
Putting those together into a system and solving using the elimination method:
2g + 4o = 10.7
3g + 2o = 9.65
I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:
2g + 4o = 10.7
-6g - 4o = -19.3
As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:
-4g = -8.6 so
g = 2.15
Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:
2(2.15) + 4o = 10.7 and
4.3 + 4o = 10.7 and
4o = 6.4 so
o = 1.60
Oranges cost $1.60 per pound. That is choice D from your list.
Answer:
Yes it is a rational number
Step-by-step explanation:
Rational numbers include positive, negative numbers and 0 that can be ritten as ratio.
C=2πr
The C stands for circumference
the π is Pi (3.14)
and r is the radius (length of half a circle)
Since the sides are 10 ft you multiply that by 2 to get the length of both sides which gives you 20 feet.
Then to find the circle, since both are half circles. You can just do the normal circumference equation and you will end up with the same answer.
For example in this problem: this problem gives you the diameter but you need the radius of the circle. C=2(π)(1.5)
C=9.42 < this is the circumference of the circle.
Then you add the sides of the table which are 20 feet.
So the final answer is 29.42 feet.
6z-7z/5=3
(30z-7z)/5=3
30z-7z=15
23z=15
z=15/23
