Answer:
12.12ft
Step-by-step explanation:
14² = 7² + x²
x² = 14² - 7²
x² = 196 - 49
x² = 147
x = √147
x = 12.12ft
Hello,
x= amount of flour that she poured in the canister
there was 5,026 grams of flour, and now: 5,026+x
In the bag there was 4,158, now: 4,158
I says that as a result the mass of the flour in the canister is twice the mass of the flour left in the bag, so:

So, she poured 1,096.67 grams, we subtract this from the initial amount in the bag and we have the answer:
Answer: there is 3,061.33 grams of flour in the bag
Step-by-step explanation:
if there is nothing missing, we have
x + 25/-8 = -6
in order to compare or add or subtract fractions, we need to bring them all to the same denominator (bottom part).
remember, integer numbers are fractions too. like here
-6 = -6/1
25/-8 = -25/8
so, how can we bring -6/1 to .../8 ?
by multiplying 1 by 8.
but we cannot multiply only the denominator by 8. otherwise we would suddenly have
-6/8
and is -6/8 = -6/1 ? no, certainly not.
to keep the original value of the fraction we have to do the same multiplication also with the numerator (top part).
so, we actually do
-6/1 × 8/8 = -48/8
with this little trick we have now .../8 to operate with, and our transformed fraction has still the same value
-6/1 = -48/8 indeed.
so, we have
x + -25/8 = -48/8
x - 25/8 = -48/8
x = -48/8 + 25/8 = -23/8