1.Write the ratio in the simplest form
16:24
1:2
4:3***
3:4
2:3
2.Solve the following proportion
p/6 =7/8
p=5.25***
p=8
p-10.5
p=42
3.James has a model helicopter. The model is 8 inches long and 7 inches wide. The actual helicopter is 56 inches long. What is the helicopter's actual width, if we assume the model's proportions are accurate?
40
49***
56
60
1. no
2. yes
3. yes
1. The simplest form of the ratio 16:24 is 2:3.
2. To solve the proportion p/6 = 7/8, we can cross multiply:
8p = 6 * 7
8p = 42
p = 42/8
p = 5.25
3. If the model helicopter is 8 inches long and 7 inches wide, and its proportions are accurate, we can set up a proportion:
8/7 = 56/x
Cross multiplying, we get:
8x = 7 * 56
8x = 392
x = 392/8
x = 49
Therefore, the helicopter's actual width is 49 inches.
1. To simplify the ratio 16:24, we can find the greatest common divisor (GCD) of the two numbers, which is 8. Then, we divide both numbers by the GCD to get the simplest form of the ratio.
16 ÷ 8 = 2
24 ÷ 8 = 3
Therefore, the simplest form of the ratio 16:24 is 2:3.
2. To solve the proportion p/6 = 7/8, we can cross-multiply. Cross-multiplication means multiplying the numerator of one fraction with the denominator of the other fraction.
p * 8 = 6 * 7
Now, we can solve for p by dividing both sides of the equation by 8.
p = (6 * 7) / 8
p = 42 / 8
p = 5.25
Therefore, p equals 5.25.
3. In a proportion, we can set up the ratio of the corresponding sides. The model's length to actual length ratio is 8:56. Similarly, the model's width to the actual width ratio should be the same.
8 ÷ 56 = 7 ÷ x
To solve for x, we can cross-multiply.
8x = 56 * 7
Now, we can divide both sides of the equation by 8 to find x.
x = (56 * 7) / 8
x = 392 / 8
x = 49
Therefore, the helicopter's actual width would be 49 inches.