Answer:
15
Step-by-step explanation:
We are told in the question that:
Mr Smith's recipe calls for 2 1/2 cups of sugar for the cake and 1 1/4 cups of sugar for the vanilla glaze.
Step 1
We add up the total amount of sugar he would need
2 1/2 + 1 1/4
(2 + 1) + (1/2 + 1/4)
= 3 + (2 + 1/4)
= 3 3/4 cups of sugar.
Step 2
How many 1/4 cup scoops of sugar does he need?
This is calculated as:
3 3/4 cups of sugar ÷ 1/4
= 15/4 ÷ 1/4
= 15/4 × 4
= 15
Therefore, he would be needing 15 , 1/4 cup scoop of sugar
Answer:
m∠BOC = 40°
Step-by-step explanation:
Given O A ‾ ⊥ O C ‾ OA ⊥ OC m∠BOC=6x−6 ∘
m∠AOB=5x+8 ∘
Find m ∠ B O C:
This means that: m∠BOC and m∠AOC intersect at a right angle.
Hence:
m∠BOC + m∠AOC = 90°
Step 1
Solving for x
6x - 6 + 5x + 8 = 90°
11x -2 = 90°
11x = 90 - 2
11x = 88
x = 88/11
x = 8
Step 2
Solving for m∠BOC
m∠BOC = 6x - 8
m∠BOC = 6(8) - 8
= 48 - 8
= 40°
Answer:
The number of bacteria after 
will be 
Step-by-step explanation:
Given the initially 30 bacteria present in the culture.
Also, the number of bacteria got doubled every hour.
So, using the equation
Where 
is number of bacteria after 
hours.
is bacteria present initially.
is the common ration, in our problem it is given that bacteria doubles every hour. So, 
And is the number of hours. In our problem we need amount of bacteria at the end of hours. So, 
Plugging values in the formula we get,
So, number of bacteria after will be
