0002077 in scientific notation

Henry has been typing a book report that contains 1250 words. So far he has been typing for 1/4 hour at a rate of 30 words per m

Rasek [7]

He must type the remainder of the report by rate 32 words per minute to finish it in 25 minutes

Step-by-step explanation:

The given is:

Henry has been typing a book report that contains 1250 words
He has been typing for 1/4 hour at a rate of 30 words per minutes
He must type the remainder of the report in 25 more minutes

We need to find his rate to finish the remaining report in 25 minutes

∵ Henry has been typing for 1/4 hour at a rate of 30 words per minute

- We must to change $\frac{1}{4}$ hour to minutes

∵ 1 hour = 60 minutes

∴ $\frac{1}{4}$ hour = $\frac{1}{4}$ hour × 60 = 15 minutes

∴ He has been typing for 15 minutes at a rate of 30 words per minute

∵ The number of words has been typed = his rate × time

∴ The number of words has been typed = 30 × 15 = 450 words

∵ The book report that contains 1250 words

- Subtract the number of words has been typed from the total

words to find the remaining word in the book

∴ The remaining words = 1250 - 450 = 800 words

∵ He plans to finish them in 25 minutes

- Substitute the number of the remaining words and the time

in the rule above to find his rate

∵ 800 = his rate × 25

- Divide both sides by 25

∴ His rate = 32 words per minute

He must type the remainder of the report by rate 32 words per minute to finish it in 25 minutes

Learn more:

You can learn more about the rate in brainly.com/question/10712420

#LearnwithBrainly

6 0

3 years ago

Not sure how to do this

OLEGan [10]

It's pretty simple! So it looks like you are learning proportions. You would cross multiply to achieve your answer.

First, let's do your first problem:

2 12
--- = ----
5 n

You would take 5 and multiply it by 12 and get 60! Then you would do the same with 2 times n, giving you 2n (because you do not know what n represents YET.)

Now you should have this:
60=2n OR 2n=60

We must isolate our variable, in order to do that, get rid of two! But how? You would do this by dividing 2n by 2. Yet in equations, when you do something to one side, you must do it to the other because they must be EQUAL! (hence the "equa-" in equation)

2n=60
--- ---
2 2 DIVIDE 2 into 60
----------
n= 30 Simplify!

Your final answer for the first question is n= 30!

8 0

3 years ago

What is 18k + 30fk in like terms. Will give brainliest to correct answer.

oee [108]

Answer:

6k(5f+3)

Step-by-step explanation:

18k+30fk

Factor out 6.

6(3k+5fk)

Consider 3k+5fk. Factor out k.

k(3+5f)

Rewrite the complete factored expression.

6k(5f+3)

4 0

3 years ago

Read 2 more answers

Given the equations f(x) = x + 4 and d (x) = 2x + 5, find: f (1) + d (2)

Lina20 [59]

1 = x + 4
3 = x

2 = 2x + 5
3 = 2x
3/2= x

3 0

3 years ago

If sin A = 3/8, find the value of cosec A - sec A.

alexira [117]

Answer:

$\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}$

Step by step explanation:

$\text{Given that,}\\\\~~~~~~\sin A = \dfrac 38 \\\\\implies \sin^2 A = \dfrac 9{64}\\\\\implies 1 - \cos^2 A = \dfrac{9}{64}\\\\\implies \cos ^2 A = 1 - \dfrac 9{64}\\\\\implies \cos^2 A = \dfrac{55}{64}\\\\\implies \cos A =\pm\sqrt{\dfrac{55}{64}}\\ \\\implies \cos A = \pm\dfrac{\sqrt{55}}8\\\\$

$\implies \dfrac 1{\cos A} = \pm\dfrac{8}{\sqrt{55}}$

$\text{Now,}\\\\\csc A - \sec A\\\\=\dfrac{1}{\sin A}- \dfrac{1}{\cos A}\\\\=\dfrac 83 -\left(\pm \dfrac 8{\sqrt {55}} \right)\\ \\\text{Hence,}\\\\\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}$

6 0

2 years ago