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musickatia [10]
3 years ago
9

2/3 to twenty-firsts

Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer:

14/21

Step-by-step explanation:

1. Find the value of x

Step 1: Write it as an equation.

  • \frac{2}{3}  = \frac{x}{21}

Step 2: Cross-multiply.

  • 2 * 21 = 3 * x
  • 3x = 42

Step 3: Divide both sides by 3.

  • \frac{3x}{3} = \frac{42}{3}
  • x = 14

2. Now that we know the numerator is 14 and the denominator is 21, we can write it as a fraction: 14/21.

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What is the equation of the line that passes through the point (-8,5) and has a slope<br> of o?
artcher [175]

Answer:  y = 5

Step-by-step explanation:

If the slope is 0, the graph of the line is a horizontal line (parallel to the x-axis).   0 slope means it is flat.

Here it passes through the y-axis  at +5 and passes through <u>every</u> value of x.

6 0
2 years ago
A student solves a problem correctly 40 times out of 72 tries. Based on this data, what is the probability that the student inco
suter [353]

Answer:

The probability of the student incorrectly solves the next problem is 44%.

Step-by-step explanation:

Let E be the event of solving a problem correctly.

Then E' is the event that the problem is solved incorrectly.

Now, recall the definition of probability.

probability of an event = \frac{number of favorable events}{total number of events}

So,

p(E) = \frac{40}{72}

Also,

p(E) + p(E') = 1 and

p(E') = 1 - p(E)

= 1 - \frac{40}{72}

= \frac{72-40}{72}

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= \frac{4}{9}

= \frac{4}{9} (100)

= 44% rounded.

Hence, the probability of the student incorrectly solves the next problem is 44%.


4 0
3 years ago
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Answer: The area of Figure ABCDE is 79.5 square units.

Step-by-step explanation:

<em>Triangle ABC is the top triangle of Figure ABCDE.</em>

<u>Triangle ACD is the triangle on the right of Figure ABCDE.</u>

Triangle AED is the triangle on the bottom left of Figure ABCDE.

So, we need to add <em>23.85</em>, <u>29.4</u>, and 26.25 to get the area of Figure ABCDE!

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3 years ago
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