Step-by-step explanation:
51-9=42
42/3 =14
Therefore Lisa has 13 friends.
Answer:
52:49
Step-by-step explanation:
pink:green
The ratio of pink to green marbles is
3k:4k
He removes 5 green marbles and adds 8 pink marbles.
Now the ratio of pink to green marbles is
(3k + 8):(4k - 5)
This rario is equal to 29:23.
(3k + 8)/(4k - 5) = 29/23
29(4k - 5) = 23(3k + 8)
116k - 145 = 69k + 184
47k = 329
k = 7
Original amounts:
3 * k = 3 * 7 = 21 pink
4 * k = 4 * 7 = 28 green
Original total = 21 + 28 = 49
Amounts after replacement:
3k + 8 = 3(7) + 8 = 29 pink
4k - 5 = 4(7) - 5 = 23 green
Total after replacement = 23 + 29 = 52
Answer: The ratio of the total number of marbles in the jar after replacement to the total number of marbles in the jar originally is 52:49.
Answer:
The volume of shipping crate is 32 unit cubes.
Step-by-step explanation:
Given that:
Length of the crate = 4 units
Width of the crate = 2 units
Height of the crate = 4 units
Volume of shipping crate = Length * Width * Height
Volume of the crate = 4 * 2 * 4
Volume of crate = 32 unit cubes.
Hence,
The volume of shipping crate is 32 unit cubes.
Given:
The figure of a right triangle ABC.
To find:
The trigonometric ratios 
.
Solution:
Using Pythagoras theorem,
Taking square root on both sides.
So, measure of BC is 8 units.
Now,
Similarly,
And,
Therefore, the required trigonometric ration are 
.
Answer:
3/4
Step-by-step explanation:
f(0) - f(3) / 0 - 3
f(0) = -4
f(3) = 9/4 - 16/4 = -7/4
f(0) - f(3) = [-4 - (-7/4)]
f(0) - f(3) = [-16/4 + 7/4]
f(0) - f(3) = -9/4
-9/4 ÷ -3 = -9/4 · -1/3 = 3/4
