Answer:
Step-by-step explanation:
Quotient of two numbers means that one number is dividing the other since quotient also means division. If we have quotient of ten and a number, this can be represented as 10/y where y is the unknown number.
If the resulting number is increased by 8, then we will add 8 to the function 10/y to give 10/y + 8 (note that increment means addition)
Finally, four less than the quotient of ten and a number, increased by eight will give us te difference between the resulting function and 4 i.e (10/y +8)-4
<em>The resulting equation of the statement is (10/y +8)-4</em>
To evaluate the result when y = 2, we will substitute y = 2 into the resulting function;
f(y) = (10/y +8)-4
f(2) = (10/2 +8)-4
f(2) = (5+8)-4
f(2) = 13-4
f(2) = 9
<em>Hence the value of the expression when y = 2 is 9</em>
ANSWER
EXPLANATION
The total number of students can be calculated by adding all the frequencies.
From the graph the total frequency is,
The number of students who intend to go into state or local government after graduation is 78.
The percentage of students who intend to go into state or local government after graduation
The answer to 8a. is 17, the answer to 8b. is 3.9, the answer to 8c. is 1 / 2, the answer to 8d. is 7 7 / 8, the answer to 9a. is commutative property, the answer to 9b. is multiplicative identity property, the answer to 9c. is associative property, and the answer to 9d. is additive inverse property.
Regarding the whole "explain using mental math" thing, I pretty much just used the fact that 8a. and 8b. both had the same number of decimal places. For 8c., I just made each number have a denominator of 10. And last, for 8d., all of the denominators were already the same, which made it pretty easy. I apologize for this section of my answer being so informal lol, I haven't had to do these kinds of problems in like 5 years <span />
Volume of a pyramid = 
Given base is = 140 m
Given height is = 96 m
Volume = 
Hence, volume of pyramid is 4480 m³
Answer:
x+2y=12-------(1)
x-2y=3---------(2)
Adding equations 1 and 2
we get
2x=18
x=9
Equation 1
9+2y=15
2y=15-9
2y=6
y=3
The solution of the given system is x=9, y=3
Step-by-step explanation
