Answer:
The sum of the first 51 terms of the sequence is 6018
Step-by-step explanation:
AP: −282,−266,−250,−234,...
First term = a = -282
Common difference = d = 
Common difference = d = -266-(-282)=-250-(-266)=16
Formula of sum of first n terms =
Substitute n = 51
So,
Hence the sum of the first 51 terms of the sequence is 6018
Answer:
The price of fertilizer is $27.5 and potting soil is $5
Step-by-step explanation:
I think that you are asking for the price of each bag of fertilizer and potting soil. And here is my answer:
Given the system of linear:
3s + 4f = 125 <=> f = 31.25 -3/4s (1)
4s + 2f = 75 <=> f = 37.5 -2s (2)
Take (1) -(2) we have:
f -f = 31.25 -3/4s - (37.5 -2s)
<=> 0 = -6.25 + 1.25s
<=> 1.25s = 6.25
<=> s = 5
=> f = 37.5 -2(5) = 27.5
So the price of fertilizer is $27.5 and potting soil is $5
I҈ l҈o҈v҈e҈ b҈i҈r҈d҈s҈ s҈o҈ m҈u҈c҈h҈
ANSWER
EXPLANATION
The unit rate of the data represented by the straight line going through the points (0,0) and (1,4) is the slope of the this straight line.
We use the slope formula to determine the unit rate.
This implies that,
Hence the unit rate is 4
Answer:
375 adult tickets were sold
Step-by-step explanation:
We know that the total amount of tickets sold is 805 tickets so that is our sum.
Then we know that there were 55 more student tickets sold than adult tickets. Since we don't know the amount of student tickets, we will use x.
So you would use x+55 for the student tickets.
Now, we don't know how many adult tickets either so we will use x for the amount of adult tickets.
So now, our equation would be:
805= x+55+x
Simplify:
805= 2x+55
Subtract 55 from both sides:
750= 2x
Divide each side by 2 so that we get x by itself:
375=x
Since x equals 375, there were 375 adult tickets sold.
