Answer:
0.4 pounds
Step-by-step explanation:
10 pounds / 25 square feet
to get the number of pounds per feet
10 / 25 = 0.4
so, your answer is 0.4 pounds per 1 square foot
Frank can build a fence in twice the time it would take Sandy. Working together, they can build it in 7 hours. How long will it take each of them to do it alone?
Answer
If Frank and Sandy can build the fence in 7 hours, they must be building
1
7
of the fence every hour.
Now, let the amount of time it takes Sandy be
x
hours so that Frank takes
2
x
hours. Sandy can build
1
x
of the fence every hour and Frank can build
1
2
x
of the fence every hour.
We now have the following equation to solve.
1
x
+
1
2
x
=
1
7
2
+
1
2
x
=
1
7
21
=
2
x
x
=
21
2
=
10.50
Thus, Sandy takes
10.50
hours and Frank takes
21
hours.
Answer:
Fraction
Step-by-step explanation:
Fraction is a symbol that represents a part of a whole. It consists of a <em>numerator</em> and a <em>denominator. </em>The numerator is the number above the fraction bar (also known as "Vinculum), while the denominator is the number below the fraction bar. The denominator is the total number of equal parts in a whole.
Examples of Fraction:
,
and
.
In the first example,
, 1 is the numerator, while 2, is the denominator.
<u>Additional Information</u>
When the numerator is smaller than the denominator, the fraction is called <em>"proper fraction."</em> On the contrary, when the numerator is bigger than the denominator, the fraction is called <em>"improper fraction."</em>
Convert minute to seconds (1 minute = 60 seconds), set up a proportion, cross multiply, and solve.
Proportion:
= 
Cross multiply: 60 · 100 = 5 · x
Solve (divide both sides by 5): 1200 = x
Answer: 1200 ft
Answer:
21
Here’s legitimate proof that 9+10=21
(9 + 10) (base x) = 21 (base y)
9(1) + [1(x) + 0(1)] = 2(y) + 1
Simplify and solve for y:
2y = 8 + x
y = 4 + x/2
Since we have number bases, we want x and y to be positive integers. The term x/2 requires that x be a positive even number.
Also since 9 is in base x, we have x ≥ 10, as the digit 9 would not be used for a base 9 or smaller.
Thus we have the pairs of solutions:
x = 10, so y = 9
x = 12, so y = 10
x = 14, so y = 12
…
x, y = 4 + x/2 … Therefore 9+10=21!