Answer:
The number of yards of cloth remaining =
Step-by-step explanation:
Given:
Length of cloth provided for making curtains = yards
Length of cloth used in making curtains = yards
To find the amount of cloth remaining.
Solution:
In order to find out the cloth left over after making curtains, we will subtract the amount of cloth used for making curtains from the total cloth provided.
Thus, amount of cloth remaining can be given as:
⇒ Total yards of cloth provided - yards of cloth used
⇒
In order to subtract mixed numbers, we will subtract the whole numbers and fractions separately.
⇒
⇒
Since denominators of fraction is same, so we can simply subtract the numerators.
⇒
⇒
can be reduced to simple fraction by dividing the numerator and denominator by 2.
⇒
⇒
⇒
Thus, number of yards of cloth remaining =
Answer:
Missing Coefficient is -8
Step-by-step explanation:
We are given, _y² - [ -5y - y( -7y -9) ] - [ -y(15y + 4) ] = 0
We have to find missing value.
let missing value be a
ay² - [ -5y - y( -7y - 9) ] - [ -y(15y + 4) ] = 0
ay² - [ -5y + 7y² + 9y ] - [ -15y² - 4y ] = 0
ay² - [ 7y² + 4y ] + 15y² + 4y = 0
ay² - 7y² - 4y + 15y² + 4y = 0
ay² - 7y² + 15y² + 4y - 4y = 0
( a - 7 + 15 )y² = 0
RHS can be written as
( a - 7 + 15 )y² = 0.y²
Now comparing coefficient of both sides we get,
a - 7 + 15 = 0
a + 8 = 0
a = -8
Therefore, Missing Coefficient is -8
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Explanation:
If we had a pit stop every 1 mile, then we would have 36 pit stops. Note how 36/1 = 36.
If we had a pit stop every 2 miles, then we would have 18 pit stops because 36/2 = 18
If we had a pit stop every 3 miles, then we would have 12 pit stops because 36/3 = 12
And so on.
As you can see, we divide the total length 36 over the number of miles between pit stops. This applies even to fractions as well
Divide 36 over 4/6 to get
Recall that when you divide by a fraction, you flip the second fraction and multiply. The action of "flipping" is known as applying the reciprocal.
So this means there are 54 pit stops in total.
An alternative method to get the answer is to note that 4/6 = 0.66666667 approximately, and 36/0.66666667 = 53.99999973 which is very close to 54 that we got above. The reason why its not exactly 54 is because of rounding error. The more decimal digits you use, the more accurate the result will be.