9 • 10 = 90 dollars worth of souvenirs
387 - 90 = 279 dollars worth of tickets
279/9 = 31 dollars
Answer $31
Answer:
Step-by-step explanation:
x = # of small boxes and y = # of large boxes
6x + 22y = 320
x = y + 2
this would be ur system of equations
Answer:
Step-by-step explanation:
We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.
This can be represented as a triangle, where x is the unknown side.
|\
| \
x | \ 9
| \
| \
|_____\
4.5
We can use The Pythagorean Theorem to find the value of x. The theorem states that 
, where a and b are the lengths of the legs and c is the length of the hypotenuse.
However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.
Hope this helped!
Given the total number of students are 180, the mean of data is 88g, and standard deviation is 1g.
A normal curve is a bell-shaped curve with symmetry about the mean and it spreads uniformly on both sides (left side and right side) of the mean.
The empirical rule is also called "68-95-99.7" rule. It says that :-
A) 68% of the data values fall between 1 standard deviation about mean (34% on left side and 34% on right side),
B) 95% of the data values fall between 2 standard deviations about mean (47.5% on left side and 47.5% on right side), and
C) 99.7% of the data values fall between 3 standard deviations about mean (49.85% on left side and 49.85% on right side).
According to distribution of normal curve and "68-95-99.7" empirical rule, we can say 49.85% of data values are above the mean within 3 standard deviations.
So it means 49.85% of total students report readings more than 88g.
Number of students reporting readings more than 88g = 49.85% of 180 = 0.4985 × 180 = 89.73
Hence, approximately 89 students report readings more than mean value.
Answer:
x = 30
F = 130
G = 50
Step-by-step explanation:
f and g are supplementary which means they add to 180
5x-20 + 3x - 40 = 180
Combine like terms
8x - 60 = 180
Add 60 to each side
8x-60+60 = 180+60
8x = 240
Divide by 8
8x/8 = 240/8
x = 30
F = 5x -20 = 5*30 -20 = 150 -20 = 130
G = 3x-40 = 3*30 -40 = 90-40 = 50
