Answer:
7(6m - 4) = -364
multiply 7 for both variables in the parenthesis
42m - 28 = -364
move 28 to other side
42m= -336
divide 42 on both sides
m= -8
Answer:
2.225 kg
Step-by-step explanation:
We know that the total weight the farmer sold was 8.9 kilograms.
- 3/4 of this weight is apples, and the rest is pears.
Therefore, to calculate the amount of kilograms of pears she sold at the farmer's market (which you can call x), you need to apply the following procedure.
Answer:
a) Point Q
b) Sides SQ,RQ
c)Angle RQT and Angle Q
Step-by-step explanation:
Answer:
Original angle = 122*
Supplementary angle = 58*
Step-by-step explanation:
A supplementary angle is one of two angles that make up 180*
If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.
So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.
The formula to figure it out would look like this: x + (x + 64) = 180
x is the supplementary angle
x + 64 is the original angle (64 MORE than its supplementary angle)
180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.
Take the formula and do a little algebra.
x + (x + 64) = 180
Subtract 64 from both sides
x + x = 116
Combine the x's
2x = 116
Divide both side by 2
x = 58
Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.
x + 64 = 122
Check our work:
x + (x + 64) = 180
58 + 58 + 64 = 180
Answer:
49
Step-by-step explanation:
-11 2/3 x (-4 1/5) =
negative times negative = positive
Change the mixed numerals into fractions.
= 35/3 × 21/5
Multiply the numerators together. Multiply the denominators together.
= (35 × 21)/(3 × 5)
Simplify.
= (7 × 5 × 7 × 3)/(3 × 5)
Divide the numerator and denominator by 3 and by 5.
= 7 × 7
= 49
