Answer:
15
Step-by-step explanation:
there are 2 red marbles for every 5 blue marbles, and we know that there are 6 red marbles total.
2x3=6, so we know that there are 3 sets of 2 red marbles, meaning there is also 3 sets of 5 blue marbles.
So there are 3x5=15 blue marbles in the bag
So we want to know the volume of a sphere in terms of pi if we know the area of the sphere is equal to A=9pi. So the area of the sphere is A=4*pi*r^2 and the volume V=(4/3)*pi*r^3. We can get the radius from the area: 9pi=4*pi*r^2 and we see the pi cancels out: 9=4*r^2. We divide by 4 and take the square root: r=sqrt(9/4)=3/2. So r=3/2 and we can input it into volume V.
V=(4/3)*(3/2)^3*pi=(4/3)*(27/8)*pi=(9/4)*pi.
So the volume of the sphere is V=(9/4)*pi cubic feet.
Answer:
maximum blanket size is;
21cm x 19cm
Step-by-step explanation:
Perimeter of the rectangle is;
P = 2W + 2L
Miriam has an 80cm length of lace that she wants to add to the sides of her rectangular blue blanket.
Thus;
2W + 2L = 80
Divide both sides by 2 to get;
W + L = 40
We want to find the maximum size of the blanket which is the 2 values that will give the maximum area.
Possible measurement include;
- 21cm x 19cm
- 22 cm x 18 cm
- 23 cm x 17 cm
- 24 cm x 16 cm
Looking at them all, the one with the largest area is 21cm x 19cm
Thus, maximum blanket size is;
21cm x 19cm
2 because if you divided 8/12 by 2/6=2
Answer:
Son = 5 years old
Mum = 30 years old
Step-by-step explanation:
Let the Mum be M and the Son be S;
--- Sum
-- Difference
Required
Find M and S (their ages)
Using elimination method; Add both equations to eliminate S
----------------
Solve for M
Substitute 30 for M in
Solve for M
Hence:
Son = 5 years old
Mum = 30 years old