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lapo4ka [179]
3 years ago
8

Nick has read the first 56 pages of a 152-page book. He plans to read 12 pages per day until he finishes. Which of these shows t

he equation and solution for d, the number of days it will take Nick to finish his book?
Mathematics
1 answer:
Digiron [165]3 years ago
6 0
D = (152 - 56) ÷ 12
d = 96 ÷ 12
d = 8

Nick needs 8 more days to finish the book after he has read teh first 56 pages.
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765ab4 is divisible by 36. Compute all ordered pairs (a, b) for which this is possible
tia_tia [17]

Answer:

All the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

Step-by-step explanation:

765ab4 to be divisible by 36, it must be divisible by both 9 and 4.

For any number to be divisible by 4, the last two digits of the number must be divisible by 4.

Here, the last two digits are b4, so as the number b4 is divisible by 4, b can be 0,2,4,6, and 8.

For any number to be divisible by 9, the sum of all the digit of the number must be divisible by 9.

Here, the sum of all the digits, S= 7+6+5+a+b+4=22+a+b.

Now, we have b={0,2,4,6, 8}

For b=0,

S=22+a+0=22+a which is a multiple of 9.

So, the possible value of the digit a :

a=5

So, (a,b)=(0,5)

For b=2,

S=22+a+2=24+a which is a multiple of 9.

So, the possible value of the digit a :

a=3

So, (a,b)=(2,3)

For b=4,

S=22+a+4=26+a which is a multiple of 9.

So, the possible value of the digit a :

a=1

So, (a,b)=(4,1)

For b=6,

S=22+a+6=28+a which is a multiple of 9.

So, the possible value of the digit a :

a=8

So, (a,b)=(6,8)

For b=8,

S=22+a+8=30+a which is a multiple of 9.

So, the possible value of the digit a :

a=6

So, (a,b)=(8,6)

Hence, all the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

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3 years ago
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Vaselesa [24]

Answer:

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Step-by-step explanation:

-8×-3 =24 thats yeaaaa

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2 years ago
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zvonat [6]
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6 0
3 years ago
How would you describe a carton back and hold 1000 unit cubes that measures 1" x 1" x 1" by using a unit can you
alexira [117]
Volume of the carton = 1000 cubic inches. Dimensions of a carton are 10"×10"×10"
4 0
3 years ago
*I WILL MARK YOU BRAINLIEST!!!!!*
AlekseyPX
<h2><em> </em><em>Answer:</em></h2>

<em>-</em><em>3</em>

<em>Explanation</em><em>:</em>

<em>Rate </em><em>of </em><em>change </em><em>in </em><em>the </em><em>interval</em>

<em>X=</em><em>0</em><em> </em><em>to </em><em>X=</em><em>3</em><em> </em><em>is </em><em>given </em><em>by,</em>

<em>r =  \frac{f(3) - f(0)}{3 - 0}  \\ here \\ f(3) = 1 \\ f(0) = 10 \\ r =  \frac{1 - 10}{3}  \\  \:  \:  \:  =  \frac{ - 9}{  3}  \\  \:  \:  \:  \:  =  - 3 \\ hope \: it \: helps.....</em>

4 0
3 years ago
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