One formula for the surface area (S) of a prism is
S = 2(LW + H(L+W))
Filling in the given values, you have
S = 2((8 cm)·(6 cm) + (24 cm)·(8 cm + 6 cm))
= 2(48 cm² + (24 cm)·(14 cm))
= 2·384 cm²
= 768 cm²
The surface area is 768 cm².
Answer:
1/3
Step-by-step explanation:
Once you know there is a 3 in the hand, and only one card is drawn from the cards in the hand, then the probability of drawing the 3 is 1/3.
Answer: 480 mL, 600 mL
Step-by-step explanation:
Given
The concentration of the first acid is 75%
The concentration of the second acid is 30%
The final mixture has a concentration of 50%
The final volume is 1080 mL
Suppose x and y be the volume of the first and second acid

Solving the above equations we get

So, the quantity of the first acid is 480 mL and 600 mL for the second mixture.
Answer:
Fern will knit 32 scarves in 8 nights.
Step-by-step explanation:
Number of scarves knitted by Fern in 5 night = 20
Relation between number of scarves knitted and number of nights is proportional,
Therefore, Number of scarves knitted (s) ∝ Number of nights spent to knit the scarves (n)
s ∝ n
s = kn
k = 
Here, k = proportionality constant
For s = 20 and n = 5,
k = 
k = 4 scarves per night
For 8 nights, by using the same proportionality rule,
k = 
4 = 
s = 32 scarves
Therefore, Fern will knit 32 scarves in 8 nights.
Answer:
8c + 10
Step-by-step explanation:
Divide 2/2:
6c - 1 + 2c + 11
Then Collect Like Terms:
6c + 2c = 8c
-1 + 11 = 10
Final: 8c + 10