Answer:
8 cards
Step-by-step explanation:
19 + 5 = 24
24/3 = 8
Hope this helps :)
Ashley starts with 45 comics.
So in the first box:
x = 0, y = 45
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Each month, she adds 5 comic books to her collection
x (+1), y (+5) (for each month).
First month.
x = 0
y = 45
Second month
x = 1
y = 45 (+5) = 50
Third month
x = 2
y = 50 (+5) = 55
etc.
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B) is your best choice, as for every month add (+1), the comic books increase by 5 respectively.
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hope this helps
This problem can be solved using the concepts of permutation.
Zzyzx is the word. It has five letters. It asked as to how many five-letter arrangements of the letters in the English alphabet follow Zzyzx alphabetically.
Take note: <span>alphabetically
</span>
The two remaining five-letter after Zzyzx are Zzyzy and Zzyzz.
The remaining arrangements are of the form Zzz _ _.
There are 26 × 26 = 676 ways to fill in the last two letters, so following Zzyzx alphabetically, there are 2 + 676 = 678 arrangements.
Hi!
This is a fun one, as it delves into basic trigonometry.
We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,
a² + b² = c²
We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)
Let's do the one on the right first.
We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).
a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6
Therefore, the length of DC is about 7.6.
Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.
Have a great one!
