Answer:Answer:
−78+−12=−138
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(-7/8, -1/2) = 8
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(−78×11)+(−12×44)=?
Complete the multiplication and the equation becomes
−78+−48=?
The two fractions now have like denominators so you can add the numerators.
Then:
−7+−48=−118
This fraction cannot be reduced.
The fraction
−118
is the same as
−11÷8
Convert to a mixed number using
long division for -11 ÷ 8 = -1R3, so
−118=−138
Therefore:
−78+−12=−138
Solution by Formulas
Apply the fractions formula for addition, to
−78+−12
and solve
(−7×2)+(−1×8)8×2
=−14+−816
=−2216
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(22,16) = 2
−22÷216÷2=−118
Convert to a mixed number using
long division for -11 ÷ 8 = -1R3, so
−118=−138
Therefore:
−78+−12=−138
Answer:
32
Step-by-step explanation:
The facts we have are the height of the small lighthouse is 8, and the base is 2.5. The base of the big lighthouse is 10.
The factor between the base of the big lighthouse and small lighthouse is 4 (10/2.5).
If we apply this to the height, 8x4 = 32
Answer:
Distribute:
=(−2)(4x)+(−2)(−4)+x
=−8x+8+x
Combine Like Terms:
=−8x+8+x
=(−8x+x)+(8)
=−7x+8
Step-by-step explanation:
Answer:
A 0.24 probability that one string is defective
Step-by-step explanation:
The sample probabiity:
If important to notice that this probability is from the sample, it can be extrapolated to the population but may not be the same.
