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rosijanka [135]
2 years ago
9

Jacob is twice as heavy as Ken Linda is half as heavy as Ken Giver 3 children is at least 35 kg. a By letting Linda's mass be x,

write an inequality for the total mass of the 3 children b. Hence, find the minimum mass of Ken Monica wanted to buy x notebooks at $3.50 each and 15 rulers at $(x+0.20) each She had a budget of $105 only c. Write an inequality for Monica's total expenditure . Hence, how many notebooks can she buy at most? ​
Mathematics
1 answer:
Usimov [2.4K]2 years ago
6 0

==> she can buy 45 notebooks at most.

\:  \:  \:  \:

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There were 100 more balcony tickets than main floor tickets sold for a concert. The balcony tickets sold for $4 and the main flo
andrew11 [14]

et balcony tickets be represented by 'b' & main floor tickets by'm'.

There were 100 more balcony tickets than main-floor tickets sold for a concert.

-->> b-m=100...(eq. 1)

From the second condition we get...

-->> 4b+12m=3056...(eq. 2)

multiply eq1 by 12 and add it with eq.2

-->(12b-12m)+(4b+12m)=(1200+3056)

-->16b=4256

-->>b=266

so 266 balcony tickets were sold.

hope this helps

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3 years ago
Consider the expression below. Assume the variable m represents an integer. 6m(3m + 21) Enter an expression in the box that uses
Monica [59]

Answer:

(a)\ 6m(3m + 21) = 9(2m^2 + 14m)

(b) Yes, it is divisible by 9

Step-by-step explanation:

Given

6m(3m + 21)

Solving (a): Complete the blanks

6m(3m + 21) = 9 [\ ]

Expand the bracket

6m(3[m + 7]) = 9 [\ ]

6m*3(m + 7) = 9 [\ ]

Express 6m as 2m * 3

2m*3*3(m + 7) = 9 [\ ]

2m*9(m + 7) = 9 [\ ]

Rewrite as:

9 * 2m(m + 7) = 9 [\ ]

Multiply the bracket by 2m

9 * (2m^2 + 14m) = 9 [\ ]

Divide both sides by 9

2m^2 + 14m = [\ ]

<em>Hence, the bracket will be filled with: </em>2m^2 + 14m<em></em>

<em>So:</em>

6m(3m + 21) = 9(2m^2 + 14m)

Solving (b): Is 6m(3m + 21) divisible by 9?

In (a), we have:

6m(3m + 21) = 9(2m^2 + 14m)

The leading factor "9" implies that the expression is divisible by 9

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3 years ago
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vampirchik [111]

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Mademuasel [1]

Answer:

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Step-by-step explanation:

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