Answer:
14.64 cents
Step-by-step explanation:
5(5/14) + 10(3/14) + 25(6/14)
= 205/14
Approx. 14.64 cents
Answer:
45 and 36
Step-by-step explanation:
Answer:
The original area would be multiplied by the scale factor of 2² to get the new area.
Step-by-step explanation:
If you double the radius lets so lets do an example
(a=πr²) so
if x is the radius the area would be x²π
double the radius so 2x then the area would be
(2x)²π so 4x²π
4x²π/x²π= 4 so its 4 times greater or
D the last answer or The original area would be multiplied by the scale factor of 2² to get the new area.
Answer:
- First choice: <u><em>n² + n - 210 = 0</em></u>
Explanation:
1) If you use n to name the smaller number of two integer numbers, then the next consecutive number is n + 1.
2) The product of those two numbers is n × (n + 1) = n (n + 1).
3) Half of that product is n (n + 1) / 2.
And the question states that thas is equal to 105, so the equation becomes:
4) n (n + 1) / 2 = 105
Now you have to simplify that equation until you have an expression equal to one of the choices:
5) Simplification:
- Multiply both sides by 2: n (n + 1) = 210
- Distributive property on the left side: n² + n = 210
- Subtract 210 from both sides: n² + n - 210 = 0
And that is the first choice, so you have your answer.
Common difference: 6
First term: 7
Second term: 13
Third term: 19
Fourth term: 25
Fifth term: 31
I hope this is correct and helps!