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satela [25.4K]
3 years ago
11

The local kennel has 3 spots for cats to every 5 dogs. if the local kennel has a total of 72 spots for both cats and dogs, then

how many spots do they have for cats?
Mathematics
1 answer:
aliina [53]3 years ago
5 0
3:5
5+3= 8
72 / 8 = 9
9 x 3 = 27
27 spots for cats
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What happens to the sign or signs of the coordinates when you reflect a point?
elena55 [62]

Part a: Reflecting a point across the x-axis, changes the sign of the y-coordinate.

Part b: Reflecting a point across the y-axis, changes the sign of the x-coordinate.

Part c: Reflecting a point across both the axes, changes the signs of both the coordinates.

Explanation:

Part a: Reflecting a point across the x-axis

The reflection is a transformation of a figure which represents a flip.

The rule for a reflection over the x -axis is given by

(x, y) \rightarrow(x,-y)

Hence, this represents the change of sign of the y-coordinate.

Thus, Reflecting a point across the x-axis, changes the sign of the y-coordinate.

Part b: Reflecting a point across the y-axis

The rule for a reflection over the y -axis is given by

(x, y) \rightarrow(-x, y)

Hence, this represents the change of sign of the x-coordinate.

Thus, Reflecting a point across the y-axis, changes the sign of the x-coordinate.

Part c: Reflecting a point across both the axes

The rule for a reflection across both the axes is given by

(x, y) \rightarrow(-x, -y)

Hence, this represents the changes the signs of both the coordinates.

Thus, Reflecting a point across both the axes, changes the signs of both the coordinates.

6 0
2 years ago
Evaluate and simplify the following complex fraction.:6/7 ÷ 3/11​
inna [77]

Answer:

3  7/50

Step-by-step explanation:

so you need them to become common denominators

a common multiple they both have would be is 77

6/7 becomes 66/77 and 3/11 becomes 21/77

now we divide

keep the 66/77 as is and flip 21/77 (keep, change, flip)

so now our equation looks like this: 66/77 x 77/21

and your answer is 3.14

but as a fraction it is 157/50 and to simplified it would be 3 7/50 (mixed fraction)

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2 years ago
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Free_Kalibri [48]

9^2/9^7

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9^ (-5)

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6 0
3 years ago
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Will give brainliest.
In-s [12.5K]

Answer:

y = 3x -8

Step-by-step explanation:

I find it convenient to start with a version of the point-slope form of the equation for a line. That is, for point (h, k) and slope m, ...

y = m(x -h) +k

For your m=3 and (h, k) = (3, 1), this equation becomes ...

y = 3(x -3) +1

Eliminating parentheses puts this in the form you desire:

y = 3x -8

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Twenty ten thousandths, Four thousandths, Three hundredths,Five tens,Seven Ones
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