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3 years ago

A sweater originally costing $80 is now on sale for $60. determine the percent decrease.30% %

Mathematics

1 answer:

aliya0001 [1]3 years ago

6 0

Let x = discount rate
Equate:
$80(1-x) = $60
Solve for x:
1-x = 60/80
1-x = 3/4
x = 1 - 3/4
x = 1/4 or 0.25
x = 25%

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Problem Solving

KATRIN_1 [288]

by unitary method the exact answer is correct (2,920 glasses).

given, glasses of water each day = 8

therefore, by unitary method :

glasses of water in 365 day = $8*365 = 2920$

hence the total glasses of water in 365 days = 2,920

learn more about unitary method here:

brainly.com/question/23423168

#SPJ9

3 0

1 year ago

Peter is reading a 193-page book. he has read three pages more than one-fourth of the number of pages he hasn't yet read. how ma

exis [7]

Let's call the number of pages we have read $m$ . To find the number of pages we have left to read, we'll need to subtract the number of pages we've read from the total number of pages in the book. Our total page count is 193, and the number of pages we've read is the unknown $m$ , so the number of pages we haven't read can be written as $193-m$ . With that knowledge, let's construct the rest of our equation.

"He has read three pages more than one-fourth of the number of pages he hasn't yet read." The first key phrase here is "he has read." What this means is that the number of pages he's read, which we've named $m$ , is equal to everything in the rest of the sentence. "Thee pages more than" means that we're going to be adding 3 to whatever the next quantity described is, which, in this case, is "one-fourth of the number of pages he hasn't yet read." We already established earlier that "the number of pages he hasn't yet read" is $193-m$ , so one-fourth of that would be $\frac{1}{4} (193-m)$ . Putting everything together, we get the following equation:

$m= \frac{1}{4} (193-m)+3$

To solve for $m$ , we might first want to eliminate the fraction 1/4 by multiplying both sides of the equation by 4, obtaining

$4m=193-m+12$

Solving for m, we get:

$4m=193+12-m\\5m=205\\m=41$

Now that we have m, it's a simple matter to solve for $193-m$ :

$193-41=152$

So, he has not yet read 152 pages.

6 0

3 years ago

A student repeats the process of taking blocks out of a bag and replacing them 100 times. A green block is drawn 67 times. What

Alexeev081 [22]

Using it's concept, it is found that a good estimate for the probability of drawing out a green block from the bag is of 0.67 = 67%.

<h3>What is a probability?</h3>

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, to get a good estimate, we get the probability taking the outcomes from the sample, that is, 67 green blocks out of 100 blocks, hence:

p = 67/100 = 0.67.

A good estimate for the probability of drawing out a green block from the bag is of 0.67 = 67%.

More can be learned about probabilities at brainly.com/question/14398287

5 0

2 years ago

A train is traveling at a constant speed of 105 miles per hour. How many feet does it travel in 3 seconds? Remember that 1

ipn [44]

Answer:

in 3 seconds the train should travel 462 feet

Step-by-step explanation:

So, first, we convert the miles into feet.

105 x 5280 = 554400

This means the train travels 554400 feet per hour.

then, we convert the hour, into second.

Since an hour has 60 minutes, and a minute has 60 seconds, we simply multiply:

1(hour) x 60(minutes) x 60(seconds) = 3600

So the train moves 554400 feet every 3600 seconds.

To get how many feet it travels in one second, we divide this by 3600.

3600/3600 and 554400/3600

1 and 154.

For every second the train travels 154 feet.

Then we simply multiply them by 3.

3x1 and 3x154, which equals:

3 and 462.

So the train travels 462 feet every 3 seconds.

I tried to explain this as simply as I can.

I hope its all correct.

6 0

3 years ago

Let f(x)=3x and g(x)=x^2+5. Perform function operation g(x)/f(x). State the domain.

tangare [24]

We have that

f(x)=3x
g(x)=x²+5
g(x)/f(x)=[x²+5]/[3x]

that new function will exist for all real numbers except the value of zero, value for which it becomes indefinite

the domain is the interval (-∞,0) U (0,∞)

using a graph tool
see the attached figure

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3 years ago