Mathematics
08.07.2020 22:23
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josie122
josie122
4,5(66 marks)
6)
91 is a composite number because it's divisible by 7 and 13

7)
477 is divisible by 3 and 9, since the sum of its digits (18) is divisible by 3 and 9 ( or the sum is a multiple of 3 and 9) .Not divisible by 6

8)
348:is divisible by 4 because the last 2 digits (48) are a multiple of 4
348:is NOT divisible by 5 because the last  digit is neither 5 nor 0
348:is divisible by 6 because it's divisible by 2 and also by 3

9)
23624 is divisible by 8 because te last 3 digits (624) are divisible y 8
(624/8 =78)
None of the others are divisible by 8

10) A number is divisible by 6 IF IT'S DIVISIBLE BY 2 AND BY 3:
213 NO

468 is divisible by 2 since the last digit is divisible by 2. It's also divisible by
3 since the sum of its digits [18] is divisible by 3, hence 468 is divisible by 6

621 it's divisible by 3 but NOT by 2, then it's not divisible by 6
dustin112000
dustin112000
4,8(42 marks)

He buys 12 sodas and 4 bags of popcorn.

Step-by-step explanation:

Here,  s represents the number of sodas and p represents the number of bags of popcorn bought.

Price of each soda = $ 1.50,

And, price of each bag of popcorn = $ 4.50,

So, the total spending = 1.50s + 4.50p   ( ∵ Total price = price of each unit × number of units )

According to the question,

1.50s + 4.50p = 36         (1)

While, total items = s + p

Again, according to the question,

s + p = 16                         (2)

Equation (1) - 1.50 × equation (2),

We get,

4.50p - 1.50p = 36 - 1.5 × 16

                  3p = 36 - 24

                  3p = 12

                   p  = 4

From equation (2),

s + 4 = 16

     s = 16 - 4

     s = 12

Hence, he buys 12 sodas and 4 bags of popcorn.

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