Answer:
425.25
Step-by-step explanation:
Since we are given 36th term as 14 and we know common difference is , it means that from the first term, we add to each and get 14 on the 36th term. To figure out the first term, thus, we have to subtract 35 times from 14. Let's do it to get first term:
The sum of arithmetic sequence formula is:
Where,
- is the sum of nth term (we want to figure this out for first 36 terms)
- is the first term (we figured this out to be 9.625)
- is the term number (36 for our case)
- is the common difference (given as )
Substituting all the values, we get:
First answer choice is right.
Answer:
The total weight of both suitcases is 53 pounds.
Step-by-step explanation:
Write an expression that you can use to find the weight of the blue suitcase.
b = 3/4 * g - 10
Then explain how you can find the total weight of both suitcases if the green suitcase weighs 36 pounds.
b + g = 3/4 * g - 10 + g = 7/4 * g - 10 = 7/4 * 36 - 10 = 53 pounds
Answer:
9/2
Step-by-step explanation:
2/3 + 3/4 + 5/6 + 4/8 + 3/12 + 3/2 =
= 16/24 + 18/24 + 20/24 + 12/24 + 6/24 + 36/24
= 108/24
= 54/12
= 9/2
B) < because the more negative or the farther away from zero a number is the smaller it is
c) = because if you subtract a negative number you are basically adding
d) = because anytime you multiply a negative by positive your answer will always be negative
a) -11 because -8+3=-5 and -5-6=-11
b) 11 because when you multiply a negative number by another negative your answer will always be positive so -3x-2=6 and 6+5=11
c) -4 because a negative number divided by a positive is always negative
d)42 because a negative number subtracted by a positive number makes a number more negative (btw always solve things in parenthesis first) so -4-3=-7 and again a negative multiplied by another negative is always positive so -7x-6=42
500 people took the survey.
12 out of 15 people is 80% of the population. 12/15 = 0.80
Thus, 80% of the population prefers eating in the restaurant.
If 400 represents the people who prefers eating in the restaurant; then, 400 is the 80% of the population. To get the total population or 100%, we must divide 400 by 0.80 or 80%
400 / 0.80 = 500 people.
Out of the 500 people, 400 selected eating in the restaurant while the remaining 20% of the population or 100 people selected cooking at home.