Answer:
915
Step-by-step explanation:
V=l*w*h V=1/2*b*h*l
V of the rectangular block: 15*5*8 = 600
V of the triangular prism--it's easiest to solve half of it, then just multiply that answer by 2: 1/2*5*7*9 = 157.5
When you double it, it cancels out the 1/2
157.5*2=315
315+600=915
Answer:
b
Step-by-step explanation:
We are asked to write an inequality that would represent a number exceeds 9. In the problem, we need to assign "n" variable to represent the number (any number) and we need to ">" symbol to represent "greater than" or "exceed". Thus, the inequality can be represented as:
n > 9
The answer is n > 9 and this would represent the phrase "a number that exceeds 9".
Answer:
y = 2x - 4; Alex is 18.
Step-by-step explanation:
Since Alex is 4 years younger than 2 times his sister's age, and his sister is y and Alex is x, the function of y to x must be y = 2x - 4.
According to the rule, if Alex's sister is 11, Alex is 2 times that minus four. If you calculate that, you get
11 * 2 = 22
22 - 4 = 18
So Alex is 18 if his sister is 11.
Let's get the denominators of both fractions to be the same before moving on, aka finding the least common multiple of the denominators.
8 and 3 have a LCM of 24. So, we have to multiply 1/3 by 8 and 3/8 by 3.
1/3 * 8/8 = 8/24
3/8 * 3/3 = 9/24
There is only 1/24 of juice left in the bottle if the remaining amount of juice has 1/3 poured out.
Hope that helped.