Answer: 60 cappuccinos were sold.
Explanation:
x = number of lattes sold
y = number of cappuccinos sold
Two equations can be set up:
x + y = 78
4x + 3y = 252
The first equation can be rearranged and substituted into the other equation to find the value of a variable.
y = 78 - x
4x + 3(78 - x) = 252
4x + 234 - 3x = 252
x + 234 = 252
x = 18
To find y, the value of x can be substituted into either equation.
x + y = 78
18 + y = 78
y = 60
To check answers, substitute both values into the original equations and make sure they work.
x + y = 78
18 + 60 = 78
78 = 78
4x + 3y = 252
4(18) + 3(60) = 252
72 + 180 = 252
252 = 252
9514 1404 393
Answer:
37 degrees
Step-by-step explanation:
The tower and the shadow form legs of a right triangle. The angle of interest is the angle between a direct line from the shadow tip to the tower top, and the ground, adjacent to the shadow. The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(angle of elevation) = (117 ft)/(158 ft)
The arctangent function is used to find the angle that has a given tangent.
angle of elevation = arctan(117/158) ≈ 36.52°
The angle of elevation is about 37°.
You’re answer would be x=18.28
Answer: or
Step-by-step explanation:
For this exercise you can convert the mixed number to an improper fraction:
1. Multiply the whole number part by the denominator of the fraction.
2. Add the product obtained and the numerator of the fraction (This will be the new numerator).
3. The denominator does not change.
Then:
You know that he had 30 minutes in time-out, he counted spots on the ceiling for minutes and the rest of the time he made faces at his stuffed tiger.
Then, in order to calculate the time Calvin spent making faces at his stuffed tiger, you need to subract 30 minutes and minutes:
or
Answer:
Enrique goes for a walk every 3 days, to play his guitar every 8 days and to dance every 12 days. Every how many days do you carry out the three activities?