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lara31 [8.8K]
3 years ago
15

The seven-digit number 1113A8B can be divided by 4, 5, and 9 What is the sum of the digits A and B?

Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

4

Step-by-step explanation:

This seven-digit number can be divided by 4, 5 and 9.

This means that 4, 5 and 9 are ALL factors.

Find the least common multiply (LCM) of 4, 5 and 9.

Multiples of 4: 4 , 8 , 12 , 16 , 20

Multiples of 5: 5 , 10 , 15 , 20

Find a multiple of 9 that is also a multiple of 20. All multiples of 20 have the factors 4 and 5.

9 X 20 = 180

The <u>seven-digit number must be a multiple of 180</u> to have the factor 4, 5 and 9. You can find the multiples of 180 until the number looks like 1113A8B, but there are better methods.

All multiples of 180 end in the digit "0". Therefore B = 0.

1113A80

Since 9 is one of the factors, the rules for a number divisible for 3 apply. (9 is a multiple of 3).

You know that a number is divisible by 3 when its digits add to a number divisible by 3.

Find the sum of the digits:

1+1+1+3+A+8+0 = A + 14

A + 14 must be divisible by 3.

Therefore, A has to be either 1, 4, or 7.

If A = 1

1113180 ÷ 180 = 6184.333

If A = 4

1113480÷ 180= 6186

If A = 7

1113780 ÷ 180 = 6187.7

A = 4 because that number is divisible by 180.

Add A = 4 and B = 0.

A + B

= 4 + 0

= 4

The sum of digits A and B is 4.

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If f(x)=X-3/x and g(x) = 5x – 4, what is the domain of (fog)(x)?<br><br><br> NEED HELP FAST!!
dedylja [7]

Answer:

Step-by-step explanation:

This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:

f(g(x))=\frac{5x-4-3}{5x-4} and that can be simplified down to

f(g(x))=\frac{5x-7}{5x-4}

The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:

5x - 4 = 0 so

5x = 4 and

x = 4/5

In other words, D = {x | x ≠ 4/5}

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3 years ago
Using the two-way table, what percentage of the students that like to travel out of state do not like camping? Round to the near
Shkiper50 [21]
Smallest to biggest % then divide
6 0
3 years ago
Can someone help me please
I am Lyosha [343]

Answer:

i believe it is Translation

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Is the proportion of the female population age 60 or older in country A greater than the proportion of the female proportion age
densk [106]

Answer:

Proportion of female older Than 60 in country A is not more than the proportion of female older Than 60 in country B.

Step-by-step explanation:

From. The plot given :

We could approximate the proportion of females older than 60 as follows _

COUNTRY A :

60 - 69 = 0.105

70 - 79 = 0.065

80 - 89 = 0.038

90+ = 0.01

Total = About 0.218

COUNTRY B :

60 - 69 = 0.14

70 - 79 = 0.11

80 - 89 = 0.07

90+ = 0.02

Total = About 0.34

From the estimated proportion, the proportion of females on country B is more than the proportion in country A.

7 0
3 years ago
So what would the correct answer be?
Varvara68 [4.7K]
No, Kira's reasoning is not correct, the correct answer is 3 1/2

Steps To Solve

1. subtract 61/4 - 2 3/4

2.  Since you cannot subtract you add the denominator to the numerator

3.   leave the denominator the same

4.   once you do that decrease the whole number by one

5.    your answer should be 3 1/2

Hope I Helped =)
6 0
3 years ago
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