Explanation: For questions 4-11, plug in the values of the variables into the equations. Ex no. 8: 7.8 + 3.5(w) where w=6.8. Plug 6.8 into the equation: 7.8 + 3.5(6.8) = 7.8 + 23.8 = 31.6 is the answer.
For questions 12-15, the order of operations is Please Excuse My Dear Aunt Sally: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction. In other words, solve each equation according to the arrangement of the operations. Ex no. 15: y² - 10 ÷ 5 + x where x = 2.5 and y = 4. Plug these numbers into the equation: 4² - 10 ÷ 5 + 2.5. The order of operations says that parenthesis should be solved first. Since there are no parenthesis, we can skip this operation. The next operation is exponents. 4² has an exponent of 2, which means that we multiply 4 by itself 2 times to get 16 (4 x 4 = 16). We now have 16 - 10 ÷ 5 + 2.5. The next operation is multiplication. There is no multiplication in this equation, so we skip this operation. Next is division. We can divide -10 by 5 to get -2. We now have 16 - 2 + 2.5 (Do not change an addition sign unless you are dividing a negative number by a positive number). The next operation is addition. We can add -2 and 2.5 to get 0.5. Lastly, we can also add 16 by 0.5: 16 + 0.5 = 16.5 is the answer.
Answer:
b=3/4
Step-by-step explanation:
((3/4)x)/2=9/32
Answer:
A. The first choice.
Step-by-step explanation:
Look at function 1.
Month 1 -----> $50
Month 2 ----> $40
The difference between month 2 and moin th 1 is 1 month.
The difference between $40 and $50 is -$10. In other words, in function 1, the amount, y, went down $10 in a month. The rate of change of function 1 is -$10/month.
Function 2
y = -9x + 60
The rate of change is the slope. The slope of function 2 is -9. In function 2, the amount of money changes -$9/per month.
Answer: A. The first choice.
First, lets gather the information given in the problem :
Mr. G's total students = 57
Mr. G's band students = 25
Clue 1 : Since there are 25 students that take band, that means that there are 57-25 = 32 students who do not take band = 32 students who take choir or math or both.
Mr. G's band / choir / band and choir students = 48
Clue 2 : Since there are 25 students that take band and there are 48 that take either band / choir/ or both, that means we have 48-25 = 23 students who do not take band = 23 students who must take choir but not band. Thus
Mr. G's choir students = 23
So, we have the following :
Mr. G's total students = 57
Mr. G's band students = 25
Mr. G's choir students = 23
However, 25 + 23 = 48. Thus, we have 9 students not accounted for. These must be his math students. Hence,
Mr. G's total students = 57
Mr. G's band students = 25
Mr. G's choir students = 23
Mr. G's math students = 9
Next, they tell us that 9 students take both math and choir.
Without the vin diagrams, this is all I can provide.