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olga nikolaevna [1]
3 years ago
13

Jodi is cutting out pieces of paper that measure 8 1/2 inches by 11 inches from a large piece of paper that has an area of 1,000

square inches. What is the area of each piece of paper that Jodi is cutting out?
Mathematics
1 answer:
ella [17]3 years ago
4 0
Each piece of paper Jodi cuts out is 93.5inˆ2.
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1. Describe a situation that could be modeled by x≤50
Dimas [21]

There are many ways to answer. The x represents some number. We don't know what the number is, but we know that it must be less than or equal to 50. Put another way, the number can be anything you want as long as it doesn't go past 50. We say that 50 is the so called "ceiling" more or less.

Some examples:

* An elevator can only hold 50 people at maximum. Therefore, x can be any number smaller than 50 or 50 itself. Having 51 or over will be too much.

* You can only work 50 hours for one stretch of some 2 week period. If x is the number of hours you work, then x must be 50 or less as written by x \le 50. So x could be x = 37 as it's less than 50, but x = 62 is not possible.

* For some small ride at a theme park, the seats are designed such that only people 50 inches or less can ride on them. If x is the height of a person in inches, then x \le 50 means something like x = 37 is possible but x = 62 is too high.

8 0
3 years ago
I need help with number 3 and 5
shepuryov [24]
3 is no cuz obtuse angle is >90 degrees, all the angles together must equal 180 degrees, and if you try it, you get no. 5 is 25% of 45, which is $11.25.
5 0
4 years ago
Read 2 more answers
Solve for u:−14u+32=−6.
zubka84 [21]

Answer:u=19/7 or 2.714286 or 2 5/7

Step-by-step explanation:

−14u+32=−6

Step 1: Subtract 32 from both sides.

-14u+32-32=-6-32

-14u=-38

Step 2: Divide both sides by -14.

-14u/-14=-38/-14

U=19/7

3 0
3 years ago
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
Simplify:<br> -2x5. 4x^2
Karo-lina-s [1.5K]

Answer:

<em>Hey mate, here's ur answer:</em>

<em>---------------------------------------------------</em>

<em>-2x^5. 4x^2 </em>

<em>=(−2)*x5*4*x2 </em>

<em>=−8*x7 </em>

<u><em>=−8x7</em></u>

<em>--------------------------------------------------</em>

<em>Hope it helps</em>

<em>#stayhomestaysafemate</em>

<em>:D</em>

7 0
3 years ago
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