Answer:
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Step-by-step explanation:
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Answer:
x=11,y=10.
Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
We can form an equation in x and y using this property.
2y+2=2x
and x+9=2y.
Solving the second equation for x ,
x=2y-9.
Substituting x value in 2y+2=2x
2y+2=2(2y-9)
Or ,2y+2=4y-18.
Adding 18 both sides:
2y+20=4y.
Subtracting 2y both sides
20=2y.
Dividing both sides by 2:
y=10.
x=2y-9
x=2(10)-9 ( substituting y value)
x=20-9=11
x=11 and y=10 will make the figure a parallelogram.
Answer:
57.6 pages
Step-by-step explanation:
First, you need to identify how many minutes are in 3/5 of an hour:
1 hour = 60 minutes
3/5 of an hour = 3/5 of 60 minutes
= 3/5(60)
= 36
So, you need to find out how many pages can be printed in 36 minutes. To figure this out, a ratio can be used:
15 : 24
36 : p
p represents pages in 36 minutes.
Now, you need to solve the ratio by figuring out what you need to multiply 15 by to get 36 and then multiplying that by 24:
15 * 36/15 = 36
36/15 = 2.4
24*2.4
= 57.6 pages
Answer: The dollar sales volume will be $4000
Step-by-step explanation:
Let x represent the amount of sales volume for which the two offers result in the same pay.
Company A offers a weekly salary of $360 plus a commission of 18% on their dollar sales volume. This means that the total value offered by company A for x sales volume is
360 + 0.18x
Company B offers a weekly salary of $720 plus commission of 9% on their dollar sales volume. This means that the total value offered by company B for x sales volume is
720 + 0.09x
For the two offers to be the same, the sales volume would be
360 + 0.18x = 720 + 0.09x
0.18x - 0.09x = 720 - 360
0.09x = 360
x = 360/0.09
x = $4000
F(2)=4+10-8=6; f(6)=36+30-8=58. Average rate of change is (58-6)/(6-2)=52/4=13
