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borishaifa [10]
3 years ago
11

Insert a digit to make numbers that are divisible by 12 if it is possible 14…4

Mathematics
1 answer:
9966 [12]3 years ago
4 0

Answer:  Insert a 6.  The number divisible by 12 is  14<em><u>6</u></em>4    

Step-by-step explanation:  Start by dividing 12 into the first two digits.

I am using old-fashioned long division.

       <u>1  2</u>

12 ) 14 <u><em>6</em></u>

     -<u>12</u>

         26.           this is the remainder, The next digit has to be a number that when divided by 12 will leave a remainder, that when paired with 4, will be evenly divisible by 12.

6 is that number . When you "bring down" the 6, you will be dividing 26÷12.  a  2 goes into the quotient, and in the next step 24 is subtracted from 26; the remainder is 2.

Bring down the 4 and divide 12 into 24.  The result is 2 as the quotient.  2 ×12 =24 .  24- 24 is 0

1464 ÷ 12 = 122

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Step-by-step explanation:

These two are WRONG:

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3 years ago
Thuy wrote the system of equations. 24 x + 36 y = 72. Negative 16 x + 8 y = 80. If the second equation is multiplied by 3, what
Irina-Kira [14]

Answer:

multiply the first equation by 2

Step-by-step explanation:

24x + 36y = 72

-16x + 8y = 80

48x + 72y = 144

-48x + 24y = 240

96y = 384

y = 4

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7 0
3 years ago
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You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You se
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5 stars? Answer down below

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Given : 11x – 6y = –1; x = 8
Natasha_Volkova [10]

Answer:

B. a. Given; b. Substitution Property; c. Subtraction Property of Equality; d. Division Property of Equality; e. Symmetric Property of Equality

Step-by-step explanation:

Given expression,

11x - 6y = -1; x = 8

By substituting x = 8,

11(8) - 6y = -1

88 - 6y =-1

By subtraction property of equality,

-6y = -89

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7 0
3 years ago
Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—has the potential to be an alternati
telo118 [61]

Answer:

a) 0.033

b) 0.468

c) 100

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 105.3

Standard Deviation, σ = 8

The amount x of miraculin produced (measured in micro-grams per gram of fresh weight) had a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(x > 120)

P( x > 120) = P( z > \displaystyle\frac{120 - 105.3}{8}) = P(z > 1.8375)

= 1 - P(z \leq 1.8375)

Calculation the value from standard normal z table, we have,  

P(x > 120) = 1 - 0.967 = 0.033 = 3.3\%

b) P(x between 100 and 110)

P(100 \leq x \leq 110) = P(\displaystyle\frac{100 - 105.3}{8} \leq z \leq \displaystyle\frac{110-105.3}{8}) = P(-0.6625 \leq z \leq 0.5875)\\\\= P(z \leq 0.5875) - P(z \leq -0.6625)\\= 0.722 - 0.254 = 0.468 = 46.8\%

P(100 \leq x \leq 110) = 46.8\%

c) P(x < a) = 0.25

P( x \leq a) = P( z \leq \displaystyle\frac{a - 105.3}{8}) = 0.25

Calculation the value from standard normal z table, we have,  

P( z \leq -0.674) = 0.25

\displaystyle\frac{x - 105.3}{8} = -0.674\\\\x = -0.674\times 8 + 105.3 = 99.908 \approx 100

3 0
2 years ago
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