Answer: You paid 3/4 of the full price.
Explanation: Total cost of the two shirts = shirt one ($12) + shirt two (half price, so $6) or $18 all together. If you had paid full price for both shirts, it would have cost you $24, or $12 times 2. 24 - 18 = 6, so you saved six dollars. 24 (full price) divided by 6 = 4, so we know that $6 is 1/4 of the full price. Because of this, we know that the amount you spent ($18) was 3/4 of the full price, since 4/4 (total) - 1/4 (amount saved) = 3/4 (amount spent). Another way to solve this is to simply divide 18 by 24.
Answer:
Step-by-step explanation:
Let's solve the inequality step-by-step:
Step 1. Add 12 to both sides of the inequality
Step 2. Multiply both sides by -4 and reverse the inequality (since you are multiplying by a negative quantity)
We can conclude that the correct answer is the third option.
Answer:
a)
i.the lower limit of the sum
: n=1
ii.the upper limit of the sum
: n=18
iii.the explicit formula of the sum
:
b) 1,125 beads
Step-by-step explanation:
a) The number of beads per row of Dante's necklace is given by the series:
3 + 10 + 17 + 24 + ...
The first term of this series is .
There is a constant difference of .
To write this series in summation notation, we need to determine the explicit formula which is given by:
We plug in the values to get:
The summation notation is given by:
b) The total number of beads in the necklace is given by the sum of the first 18 terms of the sequence.
This is given by
We substitute the values to obtain:
Therefore the total number of beads is 1125
Step-by-step explanation:
x² - 5x - 24 = (x - 8)(x + 3).
When x² - 5x - 24 = 0, (x - 8)(x + 3) = 0.
By Zero product rule, x - 8 = 0 or x + 3 = 0.
=> x = 8 or x = -3.