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marissa [1.9K]
3 years ago
7

A bookstore orders 200 books. The books are packaged in boxes that hold 24 books each. All the boxes the bookstore receives are

full, except one. How many boxes does the bookstore receive?
(30 points)
Mathematics
2 answers:
Lena [83]3 years ago
8 0

Answer:

The book store will receive 9 boxes

Step-by-step explanation:

Hope this helps<3

guapka [62]3 years ago
5 0

Answer:

The bookstore  receive 9 boxes.

Step-by-step explanation:

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RS is the perpendicular bisector of TU. Find x and y​
german

Answer:

x = 1

y = 30°

Step-by-step explanation:

is RS is ⊥ to TU then TS = US so we can use this equation to find 'x':

20x-3 = 5x+12

15x = 15

x = 1

we also know that RS intersecting with TU creates a 90° angle

if 3y = 90 then y = 30

8 0
3 years ago
WHAT IS THE REMAINDER WHEN <img src="https://tex.z-dn.net/?f=32%5E%7B37%5E%7B32%7D%20%7D" id="TexFormula1" title="32^{37^{32} }"
Feliz [49]

Recall Euler's theorem: if \gcd(a,n) = 1, then

a^{\phi(n)} \equiv 1 \pmod n

where \phi is Euler's totient function.

We have \gcd(9,32) = 1 - in fact, \gcd(9,32^k)=1 for any k\in\Bbb N since 9=3^2 and 32=2^5 share no common divisors - as well as \phi(9) = 6.

Now,

37^{32} = (1 + 36)^{32} \\\\ ~~~~~~~~ = 1 + 36c_1 + 36^2c_2 + 36^3c_3+\cdots+36^{32}c_{32} \\\\ ~~~~~~~~ = 1 + 6 \left(6c_1 + 6^3c_2 + 6^5c_3 + \cdots + 6^{63}c_{32}\right) \\\\ \implies 32^{37^{32}} = 32^{1 + 6(\cdots)} =  32\cdot\left(32^{(\cdots)}\right)^6

where the c_i are positive integer coefficients from the binomial expansion. By Euler's theorem,

\left(32^{(\cdots)\right)^6 \equiv 1 \pmod9

so that

32^{37^{32}} \equiv 32\cdot1 \equiv \boxed{5} \pmod9

7 0
2 years ago
36 is _______% less than 60?<br><br> 24%<br><br><br> 40%<br><br><br> 60%<br><br><br> 67%
ioda
40%less You take 36/60 That equals 60% This means that 36 is 60% of 60 So in 24 is 40% of 60 or 36 is 40% less than 60
3 0
3 years ago
Read 2 more answers
Quotient of 2/5 ÷ 1/4<br>​
yKpoI14uk [10]
2/5 : 1/4 =2/5 *4=8/5
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Find the area of the segment with a radius of 19 meters to nearest hundredth.
IrinaK [193]

Answer:

take 361times 3.14

Step-by-step explanation:

you will get the answer

3 0
3 years ago
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