Answer:
300 students
Step-by-step explanation:
To know the number of students, we must divide the total amount of milk spent by the amount spent for each and in this way we will obtain the value we are looking for, like this (both have the same units of L, so there is no problem ):
30 / (1/10) = 300
that is to say that there are a total of 300 students
Answer:
Equation for the perimeter of prism's square face: 16x + 12
Step-by-step explanation:
Volume of Square prism = Length * Width * Height
= 144 x^3 + 216 x^2 +81 x
taking 9x common = 9x( 16 x^2 + 24 x + 9)
= 9x ( (4x)^2 + 2(4x)(3) + (3)^2 )
= 9x ( 4x+3)^2
so the length is 9x, width is 4x+3 and height is 4x+3
Now, Perimeter of prism's square face = 2* Width + 2 * Height
= 2* (4x+3) + 2* (4x+3)
= 8x +6 + 8x + 6
= 16x +12
Answer:
g = 10
Step-by-step explanation:
Distribute 7 to the parentheses:
7(g + 5) = 105
7g + 35 = 105
Solve for g:
7g + 35 = 105
7g = 170
g = 10
So, the answer is g = 10
The initial height of the balloon is 10 feet which then increases by 70% to (10 ×1.7) = 17 feet, then to (17 × 1.7) =28.9 feet, and so fourth if the rate of increase is kept constant. Therefore, forming a geometric sequence such that to get any term in the sequence we use the formula ar∧(n-1), where a is the first term, r is the common ratio, and n is the term in the sequence. In this case a is 10 and r= 1.7 , to get the height in the fourth minute it means n =5 (for the first term there is 0 minutes, such that for 0 minutes n= 1)
Thus, 10 × 1.7 ∧ 4 = 83.521 feet.
Therefore, the answer is 83.521 feet