Answer:
2 : 6 = 14 : 42
32 : 64 = 12 : 24
Step-by-step explanation:
This is ratios.
2 : 6 = 14 : 42 is because 2 can go into 14, 7 times, so that makes it a multiple of 2. Than you just multiply the 6 by 7 that will get you to 42.
32 : 64 = 12 : 24 is because 12 is doubled on the other side to get 24, so you just double 32 and get 64.
Hope this helps!!!
Answer: 9.7 seconds
Step-by-step explanation:
Answer:
Step-by-step explanation:
Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. This means that
1 gallon of gas would be used to drive 392/14 = 28 miles
a) The number of miles traveled varies directly with the number of gallons of gas used.
Let x =number of gallons of gas you use.
Let y = the number of miles travelled.
Since y varies directly with x, we will introduce a constant of proportionality, k. Therefore,
y = kx
If 28 miles will require 1 gallon of gas, it means
28 = 1×k
k = 28
So y = 28x
b) we want to determine how far you can drive with 3.7 gallons of gas.
x = 3.7
y = 28x = 28×3.7
y = 103.6 miles
Answer:
Explanation:
Work backward:
1. 2x + 23 = 30
Start:
Multiply the equation by 2:
Subtract 30 from both sides
- 2x - 30 = 7 - 30
- 2x - 30 = -23
Add 23 and 30 to both sides:
2. 3x + 19.5 = 30
Start:
Add 6.5 to both sides:
Multiply by 3:
Distributive property:
3. (10x - 20)/ 5 = 3
Start:
Multiply by 10:
Subtract 20:
Divide by 5:
Answer: r=6
Step-by-step explanation:
Because if 42 equals 7 times r you just have to divide 42 by 7.
