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ipn [44]
1 year ago
8

Im stuck need help me i don't get it

Mathematics
2 answers:
alexgriva [62]1 year ago
3 0

Answer:

J. 12 : 18

Step-by-step explanation:

Amy used 2 tea bags for every 3 cups of water to make iced tea

the ratio here is 2:3

x = 2:3

lets simplify our ratios

6 : 10 = 3 : 5 ≠ 2 : 3

5 : 6 = (doesn't simplify evenly) ≠ 2 : 3

9 : 15 = 3 : 5 ≠ 2 : 3

12 : 18 = 2 : 3 = 2 : 3

<h3>Simplifying</h3>

find their highest common factor and divide both the numbers by the <u>same amount</u> (HCF).

Ex.

12 : 18

12 ÷ 6 = 2

18 ÷ 6 = 3

2 : 3

ELEN [110]1 year ago
3 0
The answer is J. Hope that helps.
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Step-by-step explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

=9 \times x\\= 9x

The quotient of that number and 5.

= \frac{x}{5}

The difference between both expression;

9x - \frac{x}{5}

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as 9x - \frac{x}{5}

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

\frac{n}{12}

Eight more than the resulting function is;

\frac{n}{12}+8

Hence eight more than the quotient of twelve and a number n is expressed as \frac{n}{12}+8

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

6-x

product of a number x and the quantity 'six minus the number is;

x(6-x)

quotient of eight and the number is;

\frac{8}{x}

Taking the resulting sum of the last two expression

x(6-x) + 8x

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

x(6-x) + 8x

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

= 2x +(2x+2)+(2x+2+2)\\=  2x+(2x+2)+(2x+4)

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