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ioda
3 years ago
11

Jessie estimates the weight of her cat to be 10 pounds. The actual weight of the cat is 13.75 pounds. find the percent error.

Mathematics
1 answer:
romanna [79]3 years ago
3 0

Answer:

\large \boxed{27 \, \%} }

Step-by-step explanation:

\begin{array}{rcl}\text{Percent error}&= &\dfrac{\lvert \text{Measured - Actual}\lvert}{ \text{Actual}} \times100 \,\%\\\\& = & \dfrac{\lvert 10 - 13.75\lvert}{13.75} \times 100 \, \% \\\\& = & \dfrac{\lvert -3.75\lvert}{13.75} \times 100 \, \%\\ \\& = & \dfrac{3.75}{13.75} \times 100 \,\%\\\\& = & 0.27 \times 100 \, \%\\& = & \mathbf{27 \, \%}\\\end{array}\\\text{The percent error is $\large \boxed{\mathbf{27 \, \%} }$}

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A chemist has a 40% alcohol solution and a 25% alcohol solution. How much of each should he mix together to get 50 liters of a 3
ludmilkaskok [199]

Answer:

33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution

Step-by-step explanation:

Set up two equations...

Let x represent the number of Liters of the 40% solution

Let y represent the number of Liters of the 25% solution

We need 50 liters total, so

x + y = 50

and we need the 50 L to be 35% solution, so

0.4x = 0.25y =  0.35(50)  

Solve the first equation for one variable...

x = 50 - y             (subtract y from both sides in equation 1)

Now substitute that value into the second equation...

0.4(50 - y) + 0.25y = 17.5      (x becomes 50 - y, 0.35(50) = 17.5)

Now solve for y...

20 - 0.4y + 0.25y = 17.5

  -0.15y = -2.5

      y = 16.66666667

        y = 16 2/3 L

So we need to plug that into the first equation to find 'x'

x + 16 2/3 = 50

x = 50 - 16 2/3

x = 33 1/3

3 0
3 years ago
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A triangle is 10 ft tall and 18 ft wide what is the area of the triangle
erica [24]
The answer is 90 feet
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3 years ago
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Gregory draws a scale drawing of his room. The scale that he uses is 1cm: 4ft. On this drawing, the room is 3cm long. Which equa
stepladder [879]

<em><u>The equation can be used to find the actual length of Gregory's room is:</u></em>

\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }

<em><u>Solution:</u></em>

Given that,

The scale that he uses is:

1 cm : 4 feet

On this drawing, the room is 3 cm long

Let "x" be the actual length of room

Therefore,

1 cm : 4 feet

3 cm : "x" feet

This forms a proportion. Therefore,

\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }

Therefore, Option C is correct

Given that,

Rob chose A as the correct answer. Which is,

\frac{1}{4} = \frac{x}{3}

But option A is wrong

So, Rob made a mistake in measuring the equivalent ratio, it should be \frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }

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3 years ago
Identify a sequence of transformations that maps triangle ABC onto triangle A"B"C" in the image below.
Murljashka [212]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that triangle A"B"C" is the image of triangle ABC after transformation.

From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.

It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is

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The corresponding sides of image A"B"C" are smaller than the preimage ABC.  

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Option B is correct.

4 0
3 years ago
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pogonyaev

Answer: y3−1y3=234

Step-by-step explanation:

y−1y=6

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