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ale4655 [162]
3 years ago
8

Anthony jogs 11 1/2 miles in 23 mins. If Anthony continues to jog at a steady pace, how many miles will he jog each minute?

Mathematics
1 answer:
frozen [14]3 years ago
5 0

For this case we can raise a rule of three based on Anthony trotting 11 \frac {1} {2} miles in 23 minutes.

11 \frac {1} {2} = \frac {2 * 11 + 1} {2} = \frac {23} {2}

\frac {23} {2} miles -----------> 23 minutes

x ----------------------------------------> 1minute

x = \frac {\frac {23} {2} * 1} {23}\\x = \frac {\frac {23} {2}} {23}\\x = \frac {23} {2 * 23}\\x = \frac {1} {2}

ANswer:

0.5 miles per minute

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malfutka [58]

The rule for the reflection is explained below. The correct option will be x-axis (x, y) = (x, -y).

In real life, we think of a reflection as a mirror image, like when we look at own reflection in the mirror.

This idea of reflection correlating with a mirror image is similar in math.

<h3>Reflection Over the X Axis </h3>

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image.

In this case, the x axis would be called the axis of reflection.

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

When point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4).

Notice that the x-coordinate for both points did not change, but the value of the y-coordinate changed from 4 to -4.

<h3>Reflection Over the Y Axis </h3>

A reflection of a point, a line, or a figure in the Y axis involved reflecting the image over the Y axis to create a mirror image.

In this case, the Y axis would be called the axis of reflection.

The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y-value the same.

when point P with coordinates (5,4) is reflecting across the Y axis and mapped onto point P’, the coordinates of P’ are (-5,4).

Notice that the y-coordinate for both points did not change, but the value of the x-coordinate changed from 5 to -5.

Hence the correct option is r x-axis(x, y) = (x, -y).

For more details on reflection follow the link:

brainly.com/question/4998744

6 0
2 years ago
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Anika [276]

Answer: 50,380m

Step-by-step explanation:

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Because the barn is in the field, we subtract the barn's area from the field's area, which leaves us with

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4 0
3 years ago
If 4x +5=9x-2,then x=
user100 [1]
<span>4x +5=9x-2
9x - 4x = 5 + 2
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