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2 years ago

Are the ratios 6:18 and 2:6 equivalent?

Mathematics

2 answers:

Ksju [112]2 years ago

7 0

Yes because 6/18=1/3 and 2/6=1/3. Then 6/18=2/6

viktelen [127]2 years ago

3 0

Treat them like fractions. Ratios are just fractions in a different form.

$\frac{6}{18} and \frac{2}{6}$

You can simplify 6/18. Find common factors. 2, 3, 6

Let's try and divide the top and bottom (numerator and denominator) by 3.
Then you get 2/6.
2/6 is equivalent to 2/6

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Does the expression 1.016x represent a percent increase greater than 12% if the original amount is x? How could I rewrite the ex

GrogVix [38]

Answer:

The expression $1.016x$ does not represent a percent increase greater than 12%.

Step-by-step explanation:

We are asked to find whether the expression $1.016x$ represent a percent increase greater than 12% if the original amount is x.

First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.

$\text{12 percent increase}=x+\frac{12}{100}x$

$\text{12 percent increase}=x+0.12x$

$\text{12 percent increase}=1.12x$

Since 1.12 is greater than 1.016, therefore, the expression $1.016x$ does not represent a percent increase greater than 12%.

We can rewrite $1.016x$ as:

$1.016x=1x+0.016x=x+0.016x$

Let us convert $0.016$ to percent by multiplying by 100.

$0.016\times 100\%=1.6\%$

Since 1.6% is less than 12%, therefore, the expression $1.016x$ does not represent a percent increase greater than 12%.

4 0

3 years ago

neonofarm [45]

Answer:

3 kids and 5 adults

Step-by-step explanation:

3×5.5 = 16.5

5×7.25= 36.25

16.5+36.25= 52.75

4 0

2 years ago

An isosceles triangle with angles b and c having the same measure is shown. Find the measure of each angle whose degree measure

Anton [14]

Answer:

A = 114°, B = C = 33°

Step-by-step explanation:

The triangle relationships let you write two equations:

A+B+C = 180

B=C

Substituting the expressions for A, B, and C, you have ...

(x+7y+41) +(2y+13) +(6x+15) = 180

7x +9y +69 = 180

7x +9y = 111

And the second equation gives ...

(2y+13) = (6x+15)

6x -2y =-2

3x -y = -1

Now, we can add 9 times this second equation to the first to eliminate the y-variable.

(7x +9y) +9(3x -y) = (111) +9(-1)

34x = 102

x = 3

Then the angle measures are ..

B = C = 6·3+15 = 33

A = 180 -2·33 = 114

The angles in the triangle are (A, B, C) = (114°, 33°, 33°).

8 0

2 years ago

Can someone please help me with this !! ❤️

Elan Coil [88]

Answer:

(x, y) → (x + 6, y + 13)

Step-by-step explanation:

Let's use one of the points to determine the transition:

Coordinates of D = (-5, -7)
Coordinates of D' = (1, 6)

Transition:

x' - x = 1 - (-5) = 6
y' - y = 6 - (-7) = 13

So the rule is:

(x, y) → (x + 6, y + 13)

4 0

2 years ago

Read 2 more answers

Use long division to convert -<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B16%7D" id="TexFormula1" title="\frac{3}{16}" al

MakcuM [25]

If you need to do long division by hand put the top number of the fraction (numerator) inside the division bracket and the bottom number (denominator) outside, to the left of the division bracket. The fraction 1/4 becomes 1 ÷ 4. Complete the division to convert the fraction to a decimal.

8 0

2 years ago