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Vikentia [17]
3 years ago
11

What equal 126 in multiple chart

Mathematics
1 answer:
Bess [88]3 years ago
4 0
Do 12 times 10 or 12 times 11 or 12 times 12
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Prove the 'rule of 9': an integer is divisible by 9 if and only if the sum of its integers is divisible by 9.
patriot [66]

Answer:

Rule of 9 : an integer is divisible by 9 if and only if the sum of its integers is divisible by 9.

Proof :

Let us consider a number x such that,

a=a_n......a_3a_2a_2

Where, a_0, a_1, a_2......,a_n are the the digits of the number x,

So, we can write,

x=a_0+a_1\times 10 + a_2\times 10^2 +a_3\times 10^3..........a_n\times 10^n

Let,

S=a_0+a_1+a_2+a_3+.......a_n

x-S=a_1(10-1)+a_2(10^2-1)+a_3(10^3-1)+.......a_n(10^n-1)

Since, a number is in the form of 10^k-1, where k is an positive integer, is always divisible by 9,

⇒ a_1(10-1), a_2(10^2-1), a_3(10^3-1),.......a_n(10^n-1) are divisible by 9.

⇒ x-S is divisible by 9,

⇒ If S is divisible by 9 ⇒ x must divisible by 9,

Or if x is divisible by 9 ⇒ S must divisible by 9.

Hence, proved...

7 0
3 years ago
The equation 2(4x + 1) = 4(2x + 5) has no solutions. Which of the following best explains why?
Vladimir79 [104]

Answer:

See below

Step-by-step explanation:

2(4x + 1) = 4(2x + 5)

8x + 2 =8x + 20

\nexists x \in \mathbb{R} \text{ That makes the equality true}

The equation has no solution because no matter what the value we plug for x in the equation, it will not be true and will lead to a contradiction. This is the meaning of not having a solution.

4 0
4 years ago
Each child receives a meal which consists a hamburger a bag of pretzels and a drink for the children 6 -10 years old and a hambu
Georgia [21]
Who many children is there total?
6 0
4 years ago
What is the equation of a line that passes through the point (10, 5) and is perpendicular to the
Gnom [1K]

Answer:

y = -x + 15

Step-by-step explanation:

y = x-2

slope = 1

perpendicular line slope = -1

pass point (10, 5)

y intercept = y - mx = 5 - (-1)x10  = 15

equation: y = mx + b

y = -x + 15

8 0
3 years ago
Unit rate for 240 kilometers and 2.5 hours show your work
Ivanshal [37]
To find the unit rate, you have to divide 240 by 2.5.
240/2.5 = 96
The answer is = 96 kilometers per hour.
4 0
3 years ago
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