Answer:
The value of T₂₀ - T₁₅ is <u>-20</u>.
Step-by-step explanation:
<u>Given</u> :
<u>To</u><u> </u><u>Find</u> :
<u>Using Formula</u> :
General term of an A.P.

- >> Tₙ = nᵗʰ term
- >> a = first term
- >> n = no. of terms
- >> d = common difference
<u>Solution</u> :
Firstly finding the A.P of T₂₀ by substituting the values in the formula :






Hence, the value of T₂₀ is a + 19d.

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :






Hence, the value of T₁₅ is a + 14d

Now, finding the difference between T₂₀ - T₁₅ :









Hence, the value of T₂₀ - T₁₅ is -20.

Answer:
2 inches is the height of the box.
Step-by-step explanation:
Try plugging in 4,6, and -7 into the x's
Answer:
(a) B
(b) $2
Step-by-step explanation:
(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:
12t + 8p = 184
9t + 6p = 138
We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:
3 * (12t + 8p = 184)
4 * (9t + 6p = 138)
We get:
36t + 24p = 552
36t + 24p = 552
Subtract the second from the first:
36t + 24p = 552
- 36t + 24p = 552
________________
0 = 0
Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.
(b) Our equation from this, if we still use t and p, is:
5t + 4p = 82
Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:
5t + 4p = 82
9t + 6p = 138
To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:
6 * (5t + 4p = 82)
4 * (9t + 6p = 138)
We get:
30t + 24p = 492
36t + 24p = 552
Subtract the second from the first:
36t + 24p = 552
- 30t + 24p = 492
________________
6t + 0p = 60
So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:
5t + 4p = 82
5 * 10 + 4p = 82
50 + 4p = 82
4p = 32
p = 32/4 = $8
So the ticket costs 10 - 8 = $2 more dollars than the popcorn.
Answer:
She doesn't have enough wax to make 4 candles, but she does have enough to make 3 whole candles
Step-by-step explanation:
Please refer to the attached image for explanations