Answer:
7/8
Step-by-step explanation:
Step 1: Change the denominators so that they are the same for both fractions
7/8 x 15 = 105/120
13/15 x 8 = 104/120
Step 2: Compare
104/120 < 105/120 = 13/15 < 7/8
Write an equation system based on the problem
We can write the equation for "Twice the price in Japan minus five times the price in India is $20.60" as
∴ 2j - 5i = 20.6 <em>(first equation)</em>
We can write the equation for "Thirty cents less than three times the lowest price is thirty cents" as
∴ 3i - 0.30 = 0.30 <em>(second equation)</em>
Solve the equations
First, solve the second equation to find the price in India
3i - 0.3 = 0.3
3i = 0.3 + 0.3
3i = 0.6
i = 0.6/3
i = 0.2
Second, solve the first equation by subtitution of the value of i to the equation
2j - 5i = 20.6
2j - 5(0.2) = 20.6
2j - 1 = 20.6
2j = 20.6 + 1
2j = 21.6
j = 21.6/2
j = 10.8
The price in India is $0.20 and the price in Japan is $10.80
Add 4 to both sides
-104 + 4 = -2(1 + 7x)
Simplify -104 + 4 to -100
-100 = -2(1 + 7x)
Divide both sides by -2
-100/-2 = 1 + 7x
Two negatives make a positive
100/2 = 1 + 7x
Simplify 100/2 to 50
50 = 1 + 7x
Subtract 1 from both sides
50 - 1 = 7x
Simplify 50 - 1 to 49
49 = 7x
Divide both sides by 7
49/7 = x
Simplify 49/7 to 7
Switch sides
<u>Answer: x = 7</u>
Answer:
2(8)
Step-by-step explanation:
2 to the power of 8 = 256
Answer:
width is 30-22 = 8 feet
George would need 76 feet of fencing for the dog run
Step-by-step explanation:
30 x (30-x) = 240
30-x = 8
-x = -22
x = 22
Therefore width is 30-22 = 8 feet
8+8+30+30 = 76
Thus, George would need 76 feet of fencing for the dog run