The answer will be 53/135, or in decimal form, 0.39259259...
Answer:
Number of Dolls = 28.
Number of Balls = 32.
Number of Cars = 20.
Step-by-step explanation:
Given the ratio of the number of dolls to the number of balls to the number of cars is 7 : 8 : 5.
Suppose the highest common factor of the three numbers be 'X'.
Then, Number of Dolls = 7x
Number of Balls = 8x
Number of Cars = 5x
Given the total number of dolls, balls, and cars is 80.
It means 7x + 8x + 5x = 80.
20x = 80
x = 80/20 = 4.
So, Number of Dolls = 7*4 = 28.
Number of Balls = 8*4 = 32.
Number of Cars = 5*4 = 20.
(ab + 174)/3 <115
multiply by 3 on each side
ab + 174 < 345
subtract 174 from each side
ab < 171
248+ ab >366
subtract 248 from each side
ab> 118
Answer 118< ab < 171
Answer:
g(x) increasing
h(x) decreasing
Step-by-step explanation:
Since the value of y gets larger as the value of x increases over the interval -2 <x<-1 for the function g(x), the function is increasing
Since the value of y gets smaller as the value of x increases over the interval -2 <x<-1 for the function h(x), the function is decreasing
Answer:
8 / 15
Step-by-step explanation:
By Pythagoras theorem,
OP² + PQ² = OQ²
OP² + 8² = 17²
OP² = 17² - 8²
= 289- 64
OP² = 225
OP² = 15²
OP = 15
Formula : -
Tan θ = Opposite side / Adjacent side
Here,
θ = Q
Opposite side = PQ = 8
Adjacent side = OP = 15
Tan Q = 8 / 15
