Answer:
25/6
Step-by-step explanation:
The direct variation tells you that y is proportional to x. That means a reduction by a factor of 5/6 as x changes from 6 to 5 will result in a reduction of y by the same factor.
y = (5/6)(5) = 25/6
Answer:
48 mph
Step-by-step explanation: Add 42mph and 54 mph and you get 96. To find the average of the two --- divide 96 by 2 and you get 48mph as the average speed for the entire trip.
Answer:
A'(-1, -1)
Step-by-step explanation:
Dilation about the origin multiplies each individual coordinate value by the dilation factor.
A' = (1/3)A = (1/3)(-3, -3) = (-1, -1)
Answer:
First number = 60 and another number = 48
Step-by-step explanation:
Let two numbers are 5x and 4x.
The two number are differ by 12. We need to find the numbers.
ATQ,
5x-4x = 12
x = 12
Now first number = 5x
= 5(12)
= 60
Other number = 4x
= 4(12)
= 48
Hence, the numbers are 60 and 48.
Answer:
p = 22.50 + 15t
Step-by-step explanation:
For Malik :
Membership fee = m
Rate per tournament = t
After 4 tournaments :
m + 4t = 85 - - - (1)
After 7 tournaments :
m + 7t = 130 - - - (2)
Subtract 2 from 1
4t - 7t = 85 - 130
-3t = - 45
t = 45 / 3
t = 15
Put, t = 15 in (1)
m + 4(15) = 85
m + 60 = 85
m = 85 - 60
m = 25
Massai pays 10% less membership fee than Malik
Hence, Massai's membership fee:
(100 - 10)% * 25
0.9 * 25 = $22.50
Total price, p, Massai will pay to compete in t tournaments ;
Total price = membership fee + (rate per tournament * number of tournaments)
p = 22.50 + 15t
