Answer:
she gave out 720 inches of string which is 20 yards so she has 30 yards left on the spool
Step-by-step explanation:
Hope it helped :)
Answer:
Step-by-step explanation:he first digit must be a 6, 7, or 8, because the number has to be bigger than 6,000.
The last digit must be a 1, 3, 5, or 7, because the number has to be odd.
So if the first digit is 6 or 8, there are 4 odd-number options for the last digit. If the first digit is a 7, then there are only 3 options for the last digit, as 7 can’t be used twice.
The other two digits can be anything that’s not already used. So for each first-and-last combination of digits mentioned above, there will be six options available for one of the middle digits, and then for each of those 3-digit combinations, five options will be available for the final remaining digit.
At this point, we have everything we need to express this as an equation:
x = (2 x 4 + 1 x 3) x 6 x 5
And then we can simplify and solve:
x = (8 + 3) x 30
x = 11 x 30
x = 330
Answer:
0.150 < (Proportion of Sandy's pie) < 0.167
15% < (Percentage of Sandy's pie) < 16.7%
Step-by-step explanation:
Total percentage of pie = 100% or 1
George, Sandy, Carlos, and Michelle all ate a piece of the pie.
George ate a fraction of 0.150
Michelle ate a fraction of (1/6) = 0.167
Carlos ate a fraction of (1/7) = 0.143
The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405
And Sandy is known to eat more than two of her friends, but less than one of them.
Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.
Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).
So, mathematically, the possible proportion of cake that Sandy ate is
0.150 < (Proportion of Sandy's pie) < 0.167
Hope this Helps!!!
Answer:
1. We assume, that the number 33.39 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 33.39 is 100%, so we can write it down as 33.39=100%.
4. We know, that x is 13% of the output value, so we can write it down as x=13%.
5. Now we have two simple equations:
1) 33.39=100%
2) x=13%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
33.39/x=100%/13%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 13% of 33.39
33.39/x=100/13
(33.39/x)*x=(100/13)*x - we multiply both sides of the equation by x
33.39=7.6923076923077*x - we divide both sides of the equation by (7.6923076923077) to get x
33.39/7.6923076923077=x
4.3407=x
x=4.3407
now we have:
13% of 33.39=4.3407
Step-by-step explanation:
