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Inessa [10]
3 years ago
11

Calvin types 4 pages in 1/5 hour. The average page contains 250 words. What is Calvin's approximate typing speed in words per mi

nute?
Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

Answer:

83 1/3 words per minute

or approximately 83 words per minute

Step-by-step explanation:

4 pages * 250 words/ page = 1000 words

1/5 hour * 60 minutes/ 1 hour = 12 minutes

1000 words / 12 minutes = 83.333333333.... words per minute

83 1/3 words per minute


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Spread day leave man come on
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3 years ago
If zeba were younger by 5 years than what she really is then the square of her age would have been 11 more than five times her a
RSB [31]

Answer:

14 years old

Step-by-step explanation:

<u>Define the variable</u>

Let x be the actual age of Zeba (in years).

<u>Create an equation</u> using the give information and the variable x:

(x - 5)^2=5x+11

To find Zeba's age now, <u>solve the equation for x</u>.

Expand the brackets:

\implies x^2-10x+25=5x+11

Subtract 5x from both sides:

\implies x^2-10x+25-5x=5x+11-5x

\implies x^2-15x+25=11

Subtract 11 from both sides:

\implies x^2-15x+25-11=11-11

\implies x^2-15x+14=0

<u>Factor the found quadratic</u>

To factor a quadratic in the form ax^2+bx+c<em>, </em>find two numbers that multiply to ac and sum to b, then rewrite b as the sum of these two numbers:

\implies x^2-14x-x+14=0

Factor the first two terms and the last two terms separately:

\implies x(x-14)-1(x-14)=0

Factor out the common term (x - 14):

\implies (x-1)(x-14)=0

Apply the <u>zero product property</u>:

\implies (x-1)=0 \implies x=1

\implies (x-14)=0 \implies x=14

Therefore, Zeba's age now is either 1 or 14 years.

As the question states "If Zeba were younger by 5 years" then 1 must be an <u>extraneous solution</u> since 1 - 5 = -4 and Zeba cannot be -4 years old.

Therefore, Zeba's age now is 14 years old.

<u>Check</u>

Given the actual age of Zeba is 14 years old.

Therefore, If Zeba were younger by 5 years, she would be 9 years old as:  14 - 5 = 9

The square of 9 is:  9² = 81.

5 times her actual age:  5 × 14 = 70

81 is 11 more than 70, hence verifying that her <u>actual age is 14 years old</u>.

Learn more about quadratic equations here:

brainly.com/question/27956741

brainly.com/question/27947331

5 0
1 year ago
Read 2 more answers
Plz help me i need it!
Anon25 [30]

Answer:

The answer is G, 24 1/2

Step-by-step explanation:

Hope this helps! :)

5 0
2 years ago
You roll 2 dice and flip a coin. What's the probability of getting two 4's and a tails?
zubka84 [21]

Answer:

2/4

Step-by-step explanation:

7 0
3 years ago
Identify the property being shown here, assuming that a + 2 = y. <br> (a + 2)/3 = y/3
allochka39001 [22]

Assuming that <em>a + 2 = y</em>, the property that was applied to arrived at <em>(a + 2)/3 = y/3</em> is the: division property of equality.

<em><u>Recall:</u></em>

What is done to both sides of an equation will determine what property of equality was applied to the equation.

  • Thus, given the equation:

a + 2 = y

  • The following was obtained:

(a + 2)/3 = y/3

Observing the equation stated above, we will see that both sides of the equation was divided by three. This makes both sides equal.

Therefore, assuming that <em>a + 2 = y</em>, the property that was applied to arrived at <em>(a + 2)/3 = y/3</em> is the: division property of equality.

Learn more here:

brainly.com/question/13260378

4 0
2 years ago
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