Answer:
Step-by-step explanation:
We know that speed (rate) is equal to distance over time.
The current unit of distance is miles, and we want to convert it to feet. The unit of time is hours, and we want seconds. In order to do this, we need to create a conversion factor.
Since
and
, we will use these are our conversion factors.
The goal in a dimensional analysis problem like this is for your units to work out. Remember, we want feet per second.
We write
.
You may wonder why in the conversion factor, we chose to put feet over miles and hours over seconds. This is again because we want our units to cancel. If you have one unit the numerator and the same one in the denominator, the units cancel out.
In sum, the answer is
22 ft/s.
Answer: In picture below.
Step-by-step explanation:
Find the points on the line and then draw lines to them.
Answer:
128 square feet
Step-by-step explanation:
Let the perimeter of the rectangular garden be expressed as 2(L+W)
L = length of the garden
W = width of the garden
If the length of the garden is twice its width then L = 2W; W = L/2
P = 2(L+L/2)
Since the perimeter is L + 32 (One length of a rectangular garden that lies along a patio wall and the rest of the garden is enclosed by 32 feet of fencing.)
Substituting in the formula above:
32+L = 2(L+L/2)
32+L = 2L+L
32 = 2L
L = 16 feet
Since L = 2W
W = L/2 = 16/2
Width = 8 feet
Area of the garden = Length × Width
Area of the garden = 16×8
Area of the garden = 128 square feet
Hello there!
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
You had to used least common multiple of 6 and 3.
Prime factorization of 6: 1, 2, 3, 6
3*2=6
Prime factorization of 3: 1, 3
1*3=3
Then multiply by the number
3*2=6
You can also multiply by each numerator by the same amount needed to multiply its corresponding denominator to turn it into the least common multiple is 6.
Then you had to used 4/3 multiply by the denominator and numerator by 2.
Since the denominators are equal, it combine by the fractions.
Then you can subtract by the numbers.
You had to cancel by the common factor of 3.
Answer⇒⇒⇒⇒7/2
Hope this helps!
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Have a great day!
-Charlie