1. The sides of a square are increased by a scale of 6. The perimeter of the small square is 10ft. What is the perimeter of the larger sqaure? 2.5 ft, 10 ft, 60 ft, 120 ft
2. A map of Utah has a scale of 1 cm:30 mi. The boarder of Utah and Wyoming measures about 3.7 cm. How long is the actual boarder of Utah and Wyoming? Round to the nearest 10 miles.
100 mi, 90 mi, 80 mi, 110 mi
3. Solve the proportion, where necessary round to the nearest hundredth. 11/12 = b/12
1,584 , 0.08 , 10, 11
4. Solve the proportion, where necessary round to the nearest hundredth. x/3 = 10/11
9 , 30 , 2.73 , 0.30
5. Ratio in simplest form 30:48. 1/6 , 5/8 , 30/48 , 8/5
3. 11
4. 2.73
5. 5/8
2. 110 mi
round 1\6 to nearest hundreth
1. To find the perimeter of the larger square, we need to determine the length of one side of the larger square. Since the sides of the small square are increased by a scale of 6, we can divide the perimeter of the small square by 4 (since a square has four equal sides) to find the length of one side.
In this case, the perimeter of the small square is given as 10ft. Dividing 10 by 4 gives us 2.5ft, which is the length of one side of the small square.
Now, to find the perimeter of the larger square, we can multiply the length of one side of the small square by the scale factor of 6.
2.5ft * 6 = 15ft
Therefore, the perimeter of the larger square is 15ft.
Answer: 15 ft
2. To find the actual length of the border of Utah and Wyoming, we can use the given scale of 1 cm:30 mi.
If the border measures 3.7 cm on the map, we can multiply this length by the scale factor to find the actual length.
3.7 cm * 30 mi/cm = 111 mi
Therefore, the actual length of the border of Utah and Wyoming is 111 miles.
Answer: 110 mi (rounded to the nearest 10 miles)
3. The given proportion is 11/12 = b/12.
To solve this proportion, we can cross-multiply.
12 * b = 11 * 12
b = (11 * 12) / 12
b = 11
Therefore, the value of b in the proportion is 11.
Answer: 11
4. The given proportion is x/3 = 10/11.
To solve this proportion, we can cross-multiply.
11 * x = 3 * 10
11x = 30
x = 30 / 11
x ≈ 2.73 (rounded to the nearest hundredth)
Therefore, the value of x in the proportion is approximately 2.73.
Answer: 2.73
5. To simplify the ratio 30:48, we can divide both numbers by their greatest common divisor (GCD) to find the simplest form.
The GCD of 30 and 48 is 6.
Dividing both numbers by 6, we get:
30/6 : 48/6
5 : 8
Therefore, the ratio 30:48 in simplest form is 5:8.
Answer: 5/8