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ICE Princess25 [194]
3 years ago
5

On the planet Yoy, there are 9 boodins to every 14 dubbles. if farmer Pib has 120 boodins on his Frent farm, how many dubbles ar

e on the farm.
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0

Answer:

There are 187 dubbins on the Frent farm

Step-by-step explanation:

Here, we want to find the number of dubbles on the farm;

From the beginning of the question, we are told that there are 9 boodins to every 14 dubbles

So the ratio of boodins to dubbles is 9:14

Now, let the number of dubbles on the farm be x

Mathematically;

9/14 = 120/x

9 * x = 14 * 120

9x = 1680

x = 1680/9

x = 186.67

Since there cannot be a fractional dubbins, we will need to round up

So the number of Dubbins on the farm is 187

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ddd [48]

Answer:

y=-x+16

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)

<u>1) Determine the slope (m)</u>

y=x-9

Rewrite the equation

y=1x-9

Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into y=mx+b:

y=-1x+b\\y=-x+b

<u />

<u>2) Determine the y-intercept (b)</u>

y=-x+b

Plug in the given point (7,9) and solve for b

9=-7+b

Add 7 to both sides to isolate b

9+7=-7+b+7\\16=b

Therefore, the y-intercept is 16. Plug this back into y=-x+b:

y=-x+16

I hope this helps!

6 0
3 years ago
What should the following equation be multiplied by in order to eliminate the fractions? {2y}{3} + {1}{3} = {y}{2} + {1}{6}
Vika [28.1K]

Answer:

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4 0
3 years ago
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Read 2 more answers
Which linear inequality is represented by the graph?
umka2103 [35]

We must find the slope of the graph first, we can do this by finding two perfect points and inputting those points into the formula y2 - y1/x2 - x1

Perfect point #1: (0,1)

Perfect point #2: (2,5)

As mentioned above, input these numbers into our formula.

5-1 = 4

2 - 0 = 2

4/2 = 2

So, the slope of the graph is 2.

Now, we must find the y-intercept which can be found based on where the line intersects with the y-axis. As we can see, the line intersects at (0,1) therefore the y-intercept of the graph is 1.

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The line also matters, if the line is dotted we use the normal inequality symbol, but if it is straight then we use one of the "equal to" inequality symbols.

As for our graph, we have a dotted line with the shaded area upwards. Therefore, we will be using the greater than symbol and not a "equal to" symbol.

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7 0
3 years ago
explain how the equation for 4 is 2 more than 2 is different from the equation for 4 is 2 times as many as 2
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