Answer:
2 7/12
Step-by-step explanation:
−512−−93=?
Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.
The equivalent equation is
−512+93=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(-5/12, 9/3) = 12
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.
(−5/12×1/1)+(9/3×4/4)=?
Complete the multiplication and the equation becomes
−5/12+36/12=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
−5+36/12=31/12
This fraction cannot be reduced.
The fraction
31/12
is the same as
31÷12
Convert to a mixed number using
long division for 31 ÷ 12 = 2R7, so
31/12=2 7/12
Therefore:
−5/12−−9/3=2 7/12
The first one is the answer because
|6-5|<3 and 1<3
|4-5|<3 and -1<3
|2-5|<3 and -3<3
|0-5|<3 and -5<3
|-2-5|<3 and -7<3
|-4-5|<3 and -9<3
|-6-5|<3 and -11<3
Answer:
The first one 10 units would be the perimenter of the tenth figure.
Answer:
x = 21
Step-by-step explanation:
Given that SV is the angle bisector of ∠RST, then
∠RSV = ∠TSV, thus
∠RSV + ∠TSV = ∠RST ← substitute values
2x + 8 + 2x + 8 = 6x - 26, that is
4x + 16 = 6x - 26 ( subtract 6x from both sides )
- 2x + 16 = - 26 ( subtract 16 from both sides )
- 2x = - 42 ( divide both sides by - 2 )
x = 21
Answer:
The correct option is d. 0.60
Step-by-step explanation:
Consider the provided information.
At Mike’s favorite coffee shop, the coffee of the day is either a dark roast, a medium roast, or a light roast.
The coffee being a light roast is 0.15 and the probability of the coffee being a dark roast is 0.25.
Pr(Light roast) = 0.15
Pr(Dark roast) = 0.25
We need to find the probability of the coffee of the day not being a light roast or a dark roast on the next day that Mike visits the coffee shop.
Hence, the correct option is d. 0.60
