Answer:
Step-by-step explanation:
Find the sum of the first 42 terms of the following series, to the nearest integer.
2,7,12
Solution
The sum is given by
SUM_n=n/2*(a_1+a_n)
a_n=a_1+(n-1)d
a_1=2, n=42, d=5
The 42nd term is therefore given by
a_42=2+(42-1)5=207
SUM_42=42/2*(2+207)=21*209=4389
The sum of the first 42 terms of the series, therefore, is 4389
Answer:
m = 200 miles
Step-by-step explanation:
Rental Co. A: A(m) = $35 + ($0.10/mile)(m), where m is the number of miles driven
Rental Co. B: B(m) = $25 + ($0.15/mile)(m)
Set these two dollar amounts equal to each other and solve for m:
$25 + ($0.15/mile)m = $35 + ($0.10/mile)(m). Combine like terms, obtaining:
($0.05/mile)m = $10; then m = ($10) / ($0.05/mile), or 200 miles.
The price charged by the two companies would be the same when the car has been driven 200 miles.
Answer:
Multiply the numbers until you get the same denominator (Bottom number) for both fractions. I will do #1 to show you.
1/3 1/2
Both 3 and 2 go into 6, so I will use that.
When multiplying the bottom , you have to do the same to the top, so...
2/6 OR 3/6
3/6 is greater, so that is the answer.
Therefore, 1/2 is more
Another way you can do this is to draw a pizza, a section off parts of it according to the fractions.
Hope this helped.
Answer:
7x + 34 = 90
-34 -34
7x = 56
Divide by 7 on both sides:
X = 8 degrees
A right angle equals 90 degrees so that must mean angle 7x + 34 must equal to 90 so we solve for x.
A triangle equals = 180 degrees
A quadrilateral equals = 360 degrees
A right angle equals = 90 degrees
A straight line equals = 180 degrees
The total price of the vehicle would be $<span>20,150</span>
