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:
(C)c=
f
Step-by-step explanation:
Clare uses
cups of flour to make 4 cakes.
It means she uses 1 cup of flour to make
cakes.
Let us simplify that expression first for future use.
Therefore, Clare uses 1 cup of flour to make
cakes.
If Noah follows the same recipe,
He uses f cups of flour to make c cakes
Using Ratio Method
→ Name : Cup : Cake
→ Clare : 1 :
→ Noah : f : c
By using cross multiplication
c X 1 =
f
c=
f
The equation c=
f represents the relationship between c and f
Answer:
y-b/x = a
Step-by-step explanation:
y-b/x = a
Answer:
16 cm2
Step-by-step explanation:
By equa tion of area of triangle: S = 1/2 * height * base
Triangle B: 32 = 1/2 * 8 * x --> x = 8 (cm)
The base of triangle A is half of the base of triangle B so it is 4 cm.
The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)
Answer:
What is the common ratio between successive terms in the sequence?
27, 9, 9, 1,
3,
of