a teacher asked 3 pupils to choose any 2 digit number square it and then find the remainder after dividing the result by 7. Doris got 6 Marie got 4, Horace got 3. Two of the pupils made a mistake. Why?

Answers

Answer 1

Answer: First write out all the two digit square numbers

4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81

Next divide all of them by 7

16/7 = 2 2/7 or 2 and 2 remainders
25/7 = 3 4/7 or 3 and 4 remainders
36/7 = 5 1/7 or 5 and 1 remainder
49/7 = 7
64/7 = 9 1/7 or 9 and 1 remainder
81/7 = 11 4/7 or 11 and 4 remainders

This tells us that the only possible remainders for a two digit square number divided by 7 are 1, 2 and 4
If Doris got 6 and Horace got 3, they must have made a mistake.

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A store sold 750 bicycles last year. This year the store sold 372 bicycles. Approximately, what is the percent decrease in the number of bicycles sold from last year to this year?

Answers

Well basically divide 750 by 372 and you'll get your answer

What is -7 5/12 written as a decimal

Answers

-7.416667 or -7.416 with the bar notation on the 6

Hi there!

-7 5/12 cannot be simplified.

The decimal of this number is -7.416666 (repeating decimal)

Rounded off this is -7.416667. As a whole number this would just be -7.

Hope this helps! :P

A group of 140 tourists are going on a tour. The tour guide rents 15 vans. Each van holds 9 tourist

Answers

I'll assume the question is whether the tourists will all fit.
15 vans × 9 tourists each van = 135 tourists can fit so he needs another van or 5 of them have to hold on to the roof of the car

I need help on 2 and 3 please

Answers

2. A
3. A
2 times x is 2x, 2 times y is 2y; therefore it is 2y +2x
2 times 3x is 6x, there is no possible way for the answer to be 5x

if you multiply the outside number by all the terms in the parenthesis you'll get;
2(x + y) = 2(x) + 2(y)= 2x + 2y giving you A as your answer in Q.#2.
And for Q.#3 the its the same steps;
2(3x) = 2(3)(x) = 6x Giving you A as your answer cause; 5x is not equivalent and the others are equivalent to 6x by multiplying as I explained you.
hope that helps :D

Help me please!!!!!!!

Answers

Your answer would be d because 3/4 is repeated 3 times

It is d because it matches up exactly to each of the repeating numbers and it shows teh correct amount of x's for each number

PLZ HELP HURRY!!!! Subtract. –12 – (–17)

A.

–29

B.
–5

C.
5

D.
29

Answers

-12 - (-17)

Multiply -1 into the parenthesis:

-12 + 17

Add:

5

$12 - (-17) = 5$

It's C. 5

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