Because 17 - 14 = 14 - 11 = 3, the ratio of the arithmetic series is 3;
Then, A4 = 8 - 3 = 5; A3 = 5 - 3 = 2; A2 = 2 - 3 = -1; A1 = -1 - 3 = -4.
But 68 = A1 + ( n- 1 ) x r;
68 = -4 + ( n - 1) x 3;
( n - 1 ) x 3 = 72;
n - 1 = 24;
n = 25;
Finally, Sn = ( A1 + An) x n / 2; then, S25 = ( - 4 + 68) x 25/2;
S25 = 64 x 25 / 2;
S25 = 32 x 25;
S25 = 800;
The value of sum is 800.
Answer: 5 (estimate)
Step-by-step explanation:
x - 17 4/5 = -13 1/5
Estimate: x - 18 = -13
x - 18 + 18 = -13 + 18
x = 5
actual answer without estimating using exact numbers is 4 3/5 (so estimate is reasonable)
Answer:
1050 units
Explanations:
Given the equation y=500+0.2x to determine his weekly paycheck based on his sales volume, where:
y is the amount of his check
x is the number of units he sells each month.
In order to determine the amount of units he would need to sell for his paycheck to be $710, we willl substitute y = 710 into the equation and find the value of x as shown:
y=500+0.2x
710 = 500+0.2x
710-500 = 0.2x
210 = 0.2x
0.2x = 210
Divide both sides by 0.2
0.2x/0.2 = 210/0.2
x = 1050
Hence he would need 1,050 units to sell for his paycheck to be $710
Answer:
1
Step-by-step explanation:
The slope of the line is 1. To find slope use the formula 
, this calculates the change in y over the change in x. So plug in the known values 
, this equals 3/3 or 1. This means every time y increases by 1, x will also increase by 1.
Answer:
D. 5 inches
Step-by-step explanation:
Given:
A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.
That means complete angle having 360° is divided into 3 section.
The central angle formed by the peach cobbler is 105 degrees.
The central angle formed by the pasta is 203 degrees.
<u>Question asked:</u>
What is the approximate length of the arc of the section containing the peas?
<u>Solution:</u>
The central angle formed by the peas = 360° - 105° - 203°
= 52°
As we know:
Therefore, the approximate length of the arc of the section containing the peas are 5 inches.
