Mathematics High School

The number x is a two-digit number.


• When x is divided by 9, the remainder is 1.


• When x is divided by 10, the remainder is 3.


What is the remainder when x is divided by 11?


Be sure to explain how you got your answer.

Answers

Answer 1

Answer:

x = 73

x ÷ 11 = 73 ÷ 11 = 6.636 or [tex]6\frac{7}{11}[/tex] or  ( 6 remainder 7)

Step-by-step explanation:

1. In order to determine the value of x, we will first find a two-digit multiple of 9 that has a unit value of (2)

Multiples of 9 = 18, 27, 36, 45, 54, 63, 72, 81, ...

from the above, the multiple of 9 that has a unit value of '2' is 72 ( 7 tens and 2 units)

2. Next, we will add 1 to the multiple of 9 found in step 1 above, to create a unit value of '3'. This is because when the number is divided by 9, we want to have a remainder of 1, and when the number is divided by 10, and we want to have a remainder of 3

72 + 1 = 73 ( 7 tens and 3 units)

3. Finally, let us divide the number in step 2 above by 10

73 ÷ 10 = 7 remainer 3.

Now the number 73 satisfies the three conditions given in the question:

1) The number x is a two-digit number.

73 is a two-digit number  

2) When x is divided by 9, the remainder is 1.

73 ÷ 9 = 8 remainder 1

3) When x is divided by 10, the remainder is 3.

73 ÷ 10 = 7 remainder 3

∴ x = 73

x ÷ 11 = 73 ÷ 11 = 6.636 or ( 6 remainder 7)

Related Questions

Look at the area models.

What is the product of the fractions represented by
these two area models?

Answers

Answer:

4/25

Step-by-step explanation:

What is the answer to 0.75 (6+d)=12 step by step

Answers

Answer:

step 1:   0.75 x 6 = 4.5

step 2:   0.75 x d = 0.75d

step 3:    4.5 + 0.75 = 5.25

It's correct answer

Step-by-step explanation:

Simplify this expression.
20.25 – 9 +11
-
o
18.75
21
O
40.75

Answers

Answer:

22.25

Step-by-step explanation:

there are no special things to be considered.

You can simplify the last two numbers. Because -9 +11 is the same as +2 you can see the answer:

20.25 + 2 = 22.25

The Bernards are trying to determine their babysitter's rates but are to embarrassed to just ask her. They were charged $20 for 2 hours last week, but only $31 for 4 hours this week. What is the formula to determine A(Amount) given t(time in hours)?

Answers

Answer:

A = 5.5t + 9

Step-by-step explanation:

We assume that the relationship between t and A is linear.

We have two points on a line: (2, 20) and (4, 31).

We now find the equation of the line.

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m = (31 - 20)/(4 - 2) = 11/2 = 5.5

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A = 5.5t + 9

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Answers

Pi is a unlimited number but when used in most math equations they just mean it simplified which is 3.14.

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Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set a goal for herself to knit at least 17 scarves and at the most 19 scarves this week. Eve wants to know how many scarves she should knit each day to meet her goal.

Which inequality represents the given situation?


A.
17 ≤ 2x - 9 ≤ 19
B.
17 ≥ 2x + 9 ≥ 19
C.
17 ≤ 2x - 9 ≥ 19
D.
17 ≤ 2x + 9 ≤ 19

Answers

we can eliminate A and C first because A says 17 would be the most or equal to when we know she said 19 would be the most and C says that 19 would be the least or equal to. so the answer would be D. but it’s D because B says 17 would be the most or equal while saying 19 would be the least and we know that’s not true.

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Find the value of x. PLEASE HELP - test tomorrow
The answer is 74.
I need to show my work.

THANK YOU!!!!!

Answers

Answer:

x = 74

Step-by-step explanation:

If you add all the angles in the diagram, you will get 360 degrees (since it's a complete revolution, and one revolution = 360 degrees).

Form an equation in x with this information:

4x+1+x-35+24 = 360

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5x = 370

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

20*20 = 400

Answer:

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Step-by-step explanation:

Which is the simplified form of p0?

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Answer: 1

Step-by-step explanation:

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Answer:

a and c are functions b is not

Step-by-step explanation:

a and c are both functions

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Answers

Answer:

Step-by-step explanation:

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Answers

U can use the cross multiplication to find out

5/8 = x/100

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Your final answer: 62.5/100

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Answers

Answer:

66

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

4

Step-by-step explanation:

1+3*1

3*1=3

3+1=4

Answer:

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Step-by-step explanation:

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Maya claims that 8n is the number of dots in figure n. Kiana claims that the number of dots in figure n is given by 4(n+1)
Consider the square arrangements below in relation to the girls' expressions, where n represents the figure number.
Determine whether Maya, Kiana or both girls are correct in their given expressions. Justify your response.

The evaluation of your response will be based on the following criteria.

Answers

Answer:

Answer:

Kaya's answer is correct.

Step-by-step explanation:

The number of dots in successive figures are

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So Kaya's solution 8n is correct.

When n = 1, first square = 8*1 = 8 dots

n = 2: second square = 8*2 = 16

n = 3, 3rd square = 8*3 = 24.

If I have interpreted Kianna's formula correctly

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

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