All categories

3 years ago

What is the number if 2/3 of 27 equal 25% of a number?

1 answer:

lina2011 [118]3 years ago

7 0

To solve this problem, we are going to set up an equation and let our unknown value be represented by the variable x. First, we must convert 25% into its decimal equivalent by dividing 25/100.

25/100 = 0.25

We should keep in mind that when we use the word “of” in math, it represents multiplication. This means that our equation should be set up with 2/3 multiplied by 27 on the left side equal to 0.25 times x on the right side, as modeled below:

(2/3)(27)=0.25x

To simplify this equation, we should perform the multiplication on the left side of the equation.

18 = 0.25x

Finally, we should divide both sides of the equation by 0.25 in order to isolate the variable x on the right side of the equation.

x = 72

Therefore, your answer and unknown number is 72.

Hope this helps!

You might be interested in

HELPPPP please !!!!!,!!?

lions [1.4K]

Mercury has the greater density than that of Venus .

4 0

3 years ago

Read 2 more answers

Can you please explain and answer this question to me, (don't mind the blue dots, they are the answers of what I think, please l

Fofino [41]

I started with c, but you could’ve started with any box.

So I took the numbers in the c box (the black box in my picture) and divided to see which were multiples of two. They all were.

Then I went to a. All of a’s numbers were divisible by 7.

Then b. Two of them are divisible by 2, so that’s not the answer. None of them were divisible by 7, so there’s your answer!

Then d. Two are divisible by 7, so your rules is divisible by 2.

I hope this helps!

6 0

3 years ago

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?

Deffense [45]

So you have a right angle triangle. You need to use trig for this, as you have two values you can figure out a third.

You know that you have

90 deg. angle
19 deg. angle
Therefor you have 71 deg. angle

sin19 = x/15
15sin19 = x
x = 2.2

Now do Pythagoras c^2-b^2=a^2

a = 14.8

So the sides are 2.2 and 14.8 units long. (If these numbers are wrong tell me and I'll edit answer)

7 0

3 years ago

Read 2 more answers

Emily attends a Film Festival. The admission fee is $10. Each movie ticket cost $5 each. Emily wants to determine how many movie

Rashid [163]

Answer:

Emily can buy 6 movie tickets after paying the admission fee

Step-by-step explanation:

Let x be the number of movie tickets

If each movie ticket costs 5 dollars then the cost of x movies will be 5x

And the admission fee will be a constant.

She has $40 in total

So the equation can be written as

$10+5x = 40\\5x = 40-10\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x = 6$

Hence,

Emily can buy 6 movie tickets after paying the admission fee

7 0

3 years ago

Based on a poll conducted by the Centers for Disease Control, 862 of 1013 randomly selected adults said that they always wear se

ivolga24 [154]

The confidence interval is 0.028, 0.872

<h3>Given </h3>

862 of 1013 randomly selected adults wear seat belts.

The 95% confidence interval for the proportion of adults who always wear seat belts.

<h3>What is confidence interval?</h3>

A Confidence Interval is defined as a range of values we are sure our true value lies within it.

<h3>What is 95% confidence interval?</h3>

A 95% confidence interval is defined as that if we take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value.

= 862/1013 = 0.85

At a 95% confidence interval ,the critical value is $z_{0.025} = 1.96$