Multiply each term by 8 ( to get rid of the fractions)
we get:-
-72 = -16 - k
k = -16 + 72 = 56 answer
Let H = Hailey's age and M = Maverick
Hailey is 3 times as old as Maverick: H = 3M
The sum of their ages is 48 years: H + M = 48
Since H = 3M, substitute 3M in place of H in the second equation:
H + M = 48
3M + M = 48
4M = 48
M = 12
Maverick is 12 years old. Hailey = 3M = 3(12) = 36 years old.
Answer: 36
Step-by-step: 6 2/3 + 5 1/3 = 12
12 x 3 = 36
Answer:
a) acute angle
b) obtuse angle
c) right angle
d) reflex angle
e) straight line angle
f) acute angle
Step-by-step explanation:
Acute angle
- angle that is smaller than 90°
- 0° < θ < 90°
Right angle
- angle that is 90°
- shaped of a "L"
Obtuse angle
- angle that is greater than 90° but smaller than 180°
- 90° < θ < 180°
Straight line angle
- angle that is 180°
- drawn in a straight line
Reflex angle
- angle than is greater than 180°
- θ > 180°
Answer: ![\frac{11}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B15%7D)
Step-by-step explanation:
You know that:
- 2/5 of the spice mixture was oregano.
- 1/3 of the spice mixture was basil.
Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:
- Find the least common multiply of the denominators:
![LCM=5*3=15](https://tex.z-dn.net/?f=LCM%3D5%2A3%3D15)
- Divide the LCM by each original denominator and multiply the result by each numerator.
- Make the addition.
Then, the result is:
![\frac{(2*3)+(1*5)}{15}=\frac{6+5}{15}=\frac{11}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B%282%2A3%29%2B%281%2A5%29%7D%7B15%7D%3D%5Cfrac%7B6%2B5%7D%7B15%7D%3D%5Cfrac%7B11%7D%7B15%7D)