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3 years ago

Stella can type 150 words in 5 minutes. What is her rate per minute?

Mathematics

1 answer:

enot [183]3 years ago

7 0

Answer: Stellas rate per minute is 30 words per minute

Step-by-step explanation:

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Factorise 9w² - 100<br><br><br>

ohaa [14]

Answer:

$9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10)$ .

Step-by-step explanation:

Fact:

$\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}$ .

In other words, $(a^{2} - b^{2})$ , the difference of two squares in the form $a^{2}$ and $b^{2}$ , could be factorized into $(a - b)\, (a + b)$ .

In this question, the expression $(9\, w^{2} - 100)$ is the difference between two terms: $9\, w^{2}$ and $100$ .

$9\, w^{2}$ is the square of $3\, w$ . That is: $(3\, w)^{2} = 9\, w^{2}$ .
On the other hand, $10^{2} = 100$ .

Hence:

$9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}$ .

Apply the fact that $a^{2} - b^{2} = (a - b) \, (a + b)$ to factorize this expression. (In this case, $a = 3\, w$ whereas $b = 10$ .)

$\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}$ .

8 0

2 years ago

8 times the difference of a number and 2 is the same as three times the sum of the number and 3

jeyben [28]

8(x-2) = 3(x+3) I am not sure what we were supposed to do because you did not state what form we are converting this to.

6 0

2 years ago

Read 2 more answers

Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he ad

lapo4ka [179]

Answer:

21.87

Step-by-step explanation:

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2 years ago

What subtracted by 26 equals -102

Lesechka [4]

Answer:

-76

Step-by-step explanation:

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2 years ago

Help me with this question please, the question is within the screenshot

DaniilM [7]

Answer: I’m not sure if this is it but 16.65 maybe

Step-by-step explanation:

it’s hard to figure out

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2 years ago