Answer: the picture does not show up for some reason Step-by-step explanation:
Your method is completely correct. The first term will be 6 and each subsequent term can be obtained by adding 6 to the previous one, meaning the common difference is 6. The number of terms is given by the highest number that is divisible by 6 and dividing it by 6; that is 996/6 = 166
Then we simply apply the formula for arithmetic sequence sum:
S = n/2 [2a₁ + (n - 1)d]
S = 166/2 [ 2(6) + (166 - 1)6]
S = 83,166
Answer: 12 students
Step-by-step explanation:
Let X and Y stand for the number of students in each respective class.
We know:
X/Y = 2/5, and
Y = X+24
We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:
(Y-x)/(X+x) = 1
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We can rearrange X/Y = 2/5 to:
X = 2Y/5
The use this value of X in the second equation:
Y = X+24
Y =2Y/5+24
5Y = 2Y + 120
3Y = 120
Y = 40
Since Y = X+24
40 = X + 24
X = 16
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Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:
(Y-x)=(X+x)
(40-x)=(16+x)
24 = 2x
x = 12
12 students must transfer to the more difficult, very early morning, class.
Yes they are because they are different. Reciprocals is the opposite of a number
Answer:
The correct answer is C
C. 430 mL
Step-by-step explanation:
We know that 1 liter is equivalent to 1,000 milliliters
1L = 1,000mL
So the number we have to go from liters to milliliters we multiply it by 1,000 and change the L per mL
0.43L = 0.43 * 1000 mL
0.43L = 430 mL
The bottle of shampoo contain 430 mL
if we look at the options they give us, we will see that it is equal to option c
A. 4.3 mL
B. 860 mL
C. 430 mL
D. 43 mL
