<span>1. Which ratios form a proportion?
a. 4/5, 20/25 -----> 4/5, 4/5 Yes
b.8/12, 18/24 -----> 2/3, 3/4 No
c. 1/3, 7/24 ------> 8/24,7/24 No
d. 2/5, 6/16</span> -----> 2/5, 3/8 No
<span>2.Which ratio forms a proportion with 9/15 = 3/5
a.3/6 = 2/3 No
b.2/3 No
c.12/30 = 2/5 No
d. 6/10</span> = 3/5 Yes
<span>3.Which proportion has cross products of 5 x 24 and 8x15?
a. 5/8=15/24 ----> 5 * 24 = 8 * 15 Yes
b.5/24=8/15 ----> 5 * 15 = 8 * 24 No
c.8/24=15/5 ----> 5 * 8 = 15 * 24 No
d. 15/8=5/24
</span>----> 15 * 24 = 5 * 8 No
She has 4 choices. draw the tree diagram like this:
cheese,tomato
cheese,lettuce
cheese,ham
tomato,cheese
tomato,lettuce
tomato,ham
lettuce,cheese
lettuce,tomato
lettuce,ham
ham,cheese
ham,tomato
ham,lettuce
if you still dont understand look up on google images tree diagram
comment back if you have any questions, im always online
Answer:
3.7 hours
Step-by-step explanation:
Pat could do the job alone in 8 hours.
Patti could do the job alone in 7 hours
Output = Rate * time
Let the rate at which pat does the work = Rp
Let the rate at which Patti does the work = Rt
Let X be the total output
Rp * 8 = X
Rp = X/8
Rt * 7 = X
Rt = X/7
If both pat and Patti pick apples, we have
(Rp+Rt)T = X
(X/8 + X/7)T = X
[(7X + 8X)/56]T = X
[X(7+8)/56]T = X
Divide both sides by X
[(7+8)/56]T = 1
(15/56)T = 1
T = 56/15
T = 3.7 hours
The fraction he added is 6/30, or 1/5.
I'm not 100% sure about the equation you want me to use but I did the work this way:
5/6+x/30=31/30 (the denominator has to equal 30 because you are adding. You need a common denominator which is why you need to change 5/6. We can label the numerator as a hidden value x)
25/30+x=31/30
You can then work backwards and basically subtract 25 from 31 and get 6; so x=6
