Answer:
6x - 24
Step-by-step explanation:
6(x-4) .....
Multiply the parentheses by 6:
6x - 6 x 4
Multiply the numbers:
6x - 24
7) Rectangular pyramid:
Length = 8m ; width = 4.6m ; Volume = 88m³
Volume of a rectangular pyramid = (Length * Width * Height)/3
88m³ = (8m * 4.6m * height)/3
88m³ * 3 = 36.8m² * height
264m³ = 36.8m² * height
264m³ / 36.8m² = height
7.2 m = height
8) Cone:
r = 5 in ; volume = 487 in³
Volume of a cone = π r² h/3
487 in³ = 3.14 * (5in)² * h/3
487 in³ * 3 = 3.14 * 25in² * h
1,461 in³ = 78.5 in² * h
1,461 in³ / 78.5 in² = height
18.6 in = height
Answer:
Total no. of houses = 140
Step-by-step explanation:
Let there are 9x flats and 5x bungalows.
Total bungalows = 50
It means,
5x = 50
x = 10
No of flats = 9x
= 9(10)
= 90
Total houses = no. of flats + no. of bungalows
= 50+90
= 140
So, there are 140 houses in the village.
Answer:
The answer is given below
Step-by-step explanation:
The question is not complete, because the function for the profit is not given but I can show you how to calculate this.
Since Mr. Wilson has a bakery and a juice bar, his total profit earned in t months would be the sum of profit from the bakery with the profit from the juice bar within t months.
Let us assume that the profit from the bakery in t months is given by:
B(t) = 2t³
while the profit from the juice bar in t months is given by:
J(t) = 
Therefore the total profit is given by:
P(t) = B(t) - J(t) = 
Answer:
52°
Step-by-step explanation:
<D = 360 - (78+106 + 124)
<D = 360 - 308
<D = 52°