Hey, expressing 59.2475 would look like:
Word form: Fifty-nine and two thousand, four hundred seventy-five ten-thousandths.
Expanded Notation Form:
50 + 9 + 0.2 + 0.04 + 0.007 + 0.0005.
Answer:
Saturday=403 tickets
Step-by-step explanation:
1246-314-529=403
Answer:
The series is convergent answer ⇒ (a)
Step-by-step explanation:
* The series is -8/5 + 32/25 + -128/125 + ........
- It is a geometric series with:
- first term a = -8/5 and common ratio r = 32/25 ÷ -8/5 = -4/5
* The difference between the convergent and divergent
in the geometric series is :
- If the geometric series is given by sum = a + a r + a r² + a r³ + ...
* Where a is the first term and r is the common ratio
* If |r| < 1 then the following geometric series converges to a / (1 - r).
- Where a/1 - r is the sum to infinity
* The proof is:
∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number
∴ r^n approach to zero
∴ S = a(1 - 0)/(1 - r) = a/(1 - r)
∴ S∞ = a/1 - r
* If |r| ≥ 1 then the above geometric series diverges
∵ r = -4/5
∴ IrI = 4/5
∴ IrI < 1
∴ The series is convergent
Question:
The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?
Answer:
Step-by-step explanation:
Given
Represent the number of full price with x and discounted price with y.
From the question:
x = 180 more than y
So:
Also, a total of 240 were sold.
So:
Hence, the equations are:
Solving further;
Substitute 180 + y for x in
Solve for 2y
Divide through by 2
Recall that:
Hence:
<em>Full Price = 210</em>
<em>Discounted = 30</em>
<em />
Answer:
x=17/3, y=10/3. (17/3, 10/3).
Step-by-step explanation:
4x-5y=6
2x+5y=-28
-----------------
4x-5y=6
-2(2x+5y)=-2(-28)
--------------------------
4x-5y=6
-4x-10y=56
------------------
-15y=-50
15y=50
y=50/15
y=10/3
4x-5(10/3)=6
4x-50/3=6
4x=6+50/3
4x=18/3+50/3
4x=68/3
x=(68/3)/4
x=(68/3)(1/4)=68/12=17/3
