6) the olympic marathon is a running race that is 26 miles 385 yards long. if sebastians stride is about 1 yard long, how many strides will he take in a marathon run?
7) if each board in a fence is 6 inches wide, how many boards will josée need to fence all 4 sides of a playground that is 60 ft wide by 125 feet long?
8) riley bought 50 ft of rope. he cut off pieces that total 34 8 so far. how much rope does he have left?
9) a circular garden has outside circumference (perimeter of a circle) of 23 feet. if a geranium is planted every 6 inches around the garden, how many geraniums are needed?
10) a pet store has 10 cages for sale. they are 5 cages that are 28 wide, 3 cages that are 46 wide, and 2 cages that are 18 wide. can these cages fit side by side along a wall that is 30 long?

Question

Accepted Answer

### Problem 6
# Explanation:
## Step1: Convert miles to yards
We know that 1 mile = 1760 yards. So, 26 miles in yards is $26	imes1760 = 45760$ yards.
## Step2: Add the remaining yards
The marathon is 26 miles 385 yards, so total yards is $45760 + 385 = 46145$ yards.
## Step3: Calculate number of strides
Since each stride is 1 yard, the number of strides is equal to the total yards, so 46145 strides.
# Answer:
46145

### Problem 7
# Explanation:
## Step1: Calculate the perimeter of the playground
The playground is a rectangle, so perimeter $P = 2	imes( length + width )$. Length is 125 ft, width is 60 ft. So $P = 2	imes(125 + 60)=2	imes185 = 370$ ft.
## Step2: Convert perimeter to inches
Since 1 ft = 12 inches, 370 ft in inches is $370	imes12 = 4440$ inches.
## Step3: Calculate number of boards
Each board is 6 inches wide, so number of boards is $\frac{4440}{6}=740$.
# Answer:
740

### Problem 8
# Explanation:
## Step1: Convert 50 ft to inches
1 ft = 12 inches, so 50 ft = $50	imes12 = 600$ inches.
## Step2: Convert 34'8'' to inches
34 ft is $34	imes12 = 408$ inches, plus 8 inches is $408 + 8 = 416$ inches.
## Step3: Subtract to find remaining rope
Remaining rope in inches is $600 - 416 = 184$ inches.
## Step4: Convert back to feet and inches
184 inches divided by 12: 184 ÷ 12 = 15 with a remainder of 4. So 15 ft 4 inches.
# Answer:
15 feet 4 inches (or 184 inches)

### Problem 9
# Explanation:
## Step1: Convert circumference to inches
The circumference is 23 feet. Since 1 ft = 12 inches, 23 ft = $23	imes12 = 276$ inches.
## Step2: Calculate number of geraniums
Each geranium is planted every 6 inches, so number of geraniums is $\frac{276}{6}=46$.
# Answer:
46

### Problem 10
# Explanation:
## Step1: Convert each cage width to inches
- 2'8'' : 2 ft = 24 inches, plus 8 inches = 32 inches. 5 cages: $5	imes32 = 160$ inches.
- 4'6'' : 4 ft = 48 inches, plus 6 inches = 54 inches. 3 cages: $3	imes54 = 162$ inches.
- 1'8'' : 1 ft = 12 inches, plus 8 inches = 20 inches. 2 cages: $2	imes20 = 40$ inches.
## Step2: Calculate total width of all cages
Total width = $160 + 162 + 40 = 362$ inches.
## Step3: Convert 30' to inches
30 ft = $30	imes12 = 360$ inches.
## Step4: Compare total width and wall length
Since 362 inches > 360 inches, the cages cannot fit.
# Answer:
No, the cages cannot fit.

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 6

Step1: Convert miles to yards

Step2: Add the remaining yards

Step3: Calculate number of strides

Step1: Calculate the perimeter of the playground

Step2: Convert perimeter to inches

Step3: Calculate number of boards

Step1: Convert 50 ft to inches

Step2: Convert 34'8'' to inches

Step3: Subtract to find remaining rope

Step4: Convert back to feet and inches

Answer:

Problem 7