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3 years ago

Which of the following is the most appropriate unit to describe the rate at which a person reads?

Mathematics

1 answer:

koban [17]3 years ago

7 0

Answer:

C. Words per minute, because the independent quantity is the minutes.

Step-by-step explanation:

The speed will be measured in words per minute as the number of words a person can read in a minute are counted.

The independent quantities are those quantities which are controlled during the measurement while the dependent quantities change depending on the independent quantities. While measuring the reading speed of a person minute is controlled while the number of words are counted in a minute. So minute is the independent quantity.

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Find the solution set to each inequality. Express the solution in set notation.

daser333 [38]

The solution to the inequality 6m + 2 > -27 is m > -4.33

The solution to the inequality 8(p-6)>4(p-4) is p > 8

The given inequality is:

6m + 2 > - 27

Subtract 2 to both sides of the inequality

6m + 2 - 2 > -27 - 2

6m > -29

Divide both sides by 6

$\frac{6m}{6}> \frac{-29}{6} \\m > \frac{-29}{6}\\m > -4.83$

For the inequality 8(p-6)>4(p-4)

Expand the inequality using the distributive rule

8p - 48 > 4p - 16

Collect like terms

8p - 4p > -16 + 48

4p > 32

Divide both sides of the inequality 4

$\frac{4p}{4} > \frac{32}{4}\\p > 8$

The solution to the inequality 6m + 2 > -27 is m > -4.33

The solution to the inequality 8(p-6)>4(p-4) is p > 8

Learn more here: brainly.com/question/15816805

3 0

2 years ago

Given: ABCD is a ∥-gram, BF ⊥ CD , BE ⊥ AD, Prove: △ABE∼△CBF

drek231 [11]

Answer:

Hence proved △ABE∼△CBF.

Step-by-step explanation:

Given,

ABCD is a parallelogram.

BF ⊥ CD and

BE ⊥ AD

To Prove : △ABE∼△CBF

We have drawn the diagram for your reference.

Proof:

Since ABCD is a parallelogram,

So according to the property of parallelogram opposite angles are equal in measure.

$\therefore m\angle A = m\angle B$ ⇒1

And given that BF ⊥ CD and BE ⊥ AD.

So we can say that;

$m\angle F=m\angle E=90\°$ ⇒2

Now In △ABE and △CBF

∠A = ∠C (from 1)

∠E = ∠F (from 2)

So by A.A. similarity postulate;

△ABE∼△CBF

7 0

2 years ago

Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. Wh

umka21 [38]

Answer:

Step-by-step explanation:

Silvia: 2 pages to 5 minutes

into...

Silvia: 1 page to __ minutes

<u>Find Unit Rate</u> : 5/2= 2.5

Unit Rate for Silvia is 2.5

<u>Written out</u> : 2 pages x 2.5 = 5 minutes

<u>Example</u> : 1 page to 2.5 minutes

<u>What we found</u> : ___ pages to 60 minutes(60 divided by 2.5) is

<h2>24 pages to 60 minutes</h2>

Silvia's sister: 3 pages to 6 minutes

into...

Silvia's sister: 1 pages to ___ minutes

<u>Find Unit Rate</u> : 6/3= 2

Unit Rate for Silvia is 2

<u>Written out</u> : 3 pages x 2 = 6 minutes

<u>Example</u> : 1 page to 2 minute

<u>What we found</u> : ___ pages to 60 minutes(60 divide by 2) is

<h2>30 pages to 60 minutes </h2>

<u>Final Step</u> : 30 - 24 = 6

7 0

2 years ago

Write the exponential equation for this scenario. Georgiana invests $3000.00 in a CD. The CD earns 10% annual interest. How much

Dmitry_Shevchenko [17]

Answer:

The exponential equation is;

F = 30,000(1.01)^30

The value is;

$40,435.50

Step-by-step explanation:

Here, we are to write an exponential equation

Exponential equations generally take the form;

F = I(1 + r)^t

where F is the future value

I is the initial value

r is the growth percentage

t is the time

with respect to the question;

F = ?

I = 3,000

t = 30

r = 10% = 10/100 = 0.1

Writing the equation, we have

F = 30,000(1.+ 0.1)^30

F = 30,000(1.01)^30

F = $40,435.50

5 0

2 years ago

help please! I must solve using descartes law of signs or rational root theorem. show all steps please thanks!

wel

Answer:

x=2 or x=3

Step-by-step explanation:

x^4 - 5x^3 + 7x^2 - 5x + 6 = 0

Step 1=Factor left side of equation.

(x-2) (x-3) (x^2 + 1) = 0

Step 2=Set factors equal to 0.

x-2 = 0 or x-3 = 0 or x^2 + 1 = 0.

Answer:x=2 or x=3

4 0

2 years ago