Answer:
Step-by-step explanation:
designed to limit the power of the government
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
Yes, because centimeters are smaller than inches, making you need more of them to equal an inch.
ANSWER:
a) y = 15x + 75
b) 50 weeks
EXPLANATION:
P A R T A
2 weeks, 105 dollars --> (2, 105)
5 weeks, 150 dollars --> (5, 150)
<u />
<u>if we use slope intercept form (y=mx+b), we must:</u>
1) find the slope
y2 - y1 -->> 150 - 105 = 45
x2 - x1 -->> 5 - 2 = 3
45/3 = 15
2) find the y intercept
y = 15x + b -->> 150 = 15 (5) + b -->> 150 = 75 + b -->> 75 = b
--------------------------------------------------------------------------------------------
P A R T B
y = 15x + 75 (substitute the y with 825 because that is the goal)
825 = 15x + 75 (solve normally)
750 = 15x
50 = x
Answer:
50
Step-by-step explanation:
Because of supplementary angles that line has to equal to 180
180-75 = 105
so 105 = (2x + 5)
you can subtract 5 from each side and get
100 = (2x)
then divide each side by 2 and you get
x = 50
you can check it by doing (2 x 50 + 5)
2 x 50 = 100 + 5 = 105 + 75 = 180