What is 8/32 times 14/21?

Mathematics

1 answer:

ki77a [65]2 years ago

7 0

(3)14. 32 ×21 = 96
8. 32
__. 64
112

112/96 <--the original answer
56/48
28/24
14/12
7/6 <--simplified answer

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Ray wants to buy an item worth $500. Which option is the most cost-effective?

LuckyWell [14K]

Ray wants to buy an item worth 500$ in the most cost-effective way. Let's study each of the 3 cases and see with option is the best.

In the first option, he'll buy the item at list price with a coupon for $10 off. So he'll buy it at 500-10 =$490.

In the second option, he'll buy a membership for $35 and then get the item at a 15% discount. With a 15% discount, the price of the item will be 500 - (500*0.15) = 500 - 75 = $425. And with the membership price, he'll pay a total of 425 + 35 = $460.

The third option is to buy the item online at a 10% discount and pay $4 for the shipping. At 10% discount, the price of the item will be 500 - (500*0.1) = 500 - 50 = $450. And with cost of the shipping, he'll pay a total of 450+4 = $454.

So if he chooses the first option, he'll pay $490. With the second, he'll pay $460. And finally with the third, he'll pay $454.

So the third option is the most cost-effective, buying the item at $454.

Hope this helps! :)

5 0

2 years ago

Read 2 more answers

Carly has 15 stuffed animals. How many ways are there to organize her top 3 favorites?

Ivanshal [37]

Well, the answer will depend on whether the order will count or not (based on Permutations and Combinations). <em>If the order counts</em>, then we would use the formula for Permutations, which is:
$\frac{n!}{(n-r)!}$
Where n is the number of items you have, and r is the number of times you choose from the items.
$\frac{15!}{(15-3)!}$
Which simplifies to
$\frac{15!}{(12)!}$
Which simplifies to 15*14*13 (because all the numbers 1-12 in the factorial canceled out), which gets us the answer 2730.

Now, if you wanted to find the number of ways to order the toys without replacement (<em>order doesn't count</em>), you would use the formula:
$\frac{n!}{r!(n-r)!}$
The variables are still the same, but you are now multiplying by r!.
$\frac{15!}{3!(15-3)!}$
Simplifies to
$\frac{15!}{3!(12)!}$
Which simplifies to (using the same cancellation method above)
$\frac{2730}{3!}$
Dividing 2730 by 3! will get us an answer of 455.

Really, it depends on whether they are ordered or not. In this case (since you didn't specify whether the order mattered), the answer would be 455 or 2730.

:)

4 0

3 years ago

The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t

Nikitich [7]

Answer:

$\frac{-1}{\sqrt{17} }$