1. no
2. yes
3. yes
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
2. yes
3. yes
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.
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.