All categories

3 years ago

If 420 = 120%, what would 100% equal?

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

8 0

Answer:

350

Step-by-step explanation:

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100

120% = 120/100 = 120 ÷ 100 = 1.2

100% = 100/100 = 100 ÷ 100 = 1

Percentage of 120% of what number = 420?

120% × ? = 420

? =

420 ÷ 120% =

420 ÷ (120 ÷ 100) =

(100 × 420) ÷ 120 =

42,000 ÷ 120 =

350

<h2>Proof</h2><h3>How do we check the result?</h3>

If 120% × 350 = 420 =>

Divide 420 by 350...

... And see if we get as a result: 120%

Multiply a number by the fraction 100/100,

... and its value doesn't change.

100/100 = 100 ÷ 100 = 1

n/100 = n%, any number.

<h2>Hope it is helpful....</h2>

You might be interested in

Solve the inequality. Graph the solution.<br><br> w+6≤−3

yuradex [85]

Answer: w<-9 With the line underneath

Step-by-step explanation:

4 0

3 years ago

A cylinder has a base radius of 3 inches and a height of 3 inches. What is its volume in cubic inches, to the nearest tenths pla

Alika [10]

84.8 is the answer hope this helps

6 0

2 years ago

Two angles are complementary. The first angle is 2x degrees. The second angle is (3x +5) degrees. Determine the measure of each

bixtya [17]

Answer:

70 and 110

Step-by-step explanation:

First angle -- 2x

Second angle -- 3x + 5

Therefore,

2x + 3x + 5 = 180

5x = 175

x = 35

Therefore, 2x -- 70

3x + 5 -------------110

Thenks and mark me brainliest :)

8 0

3 years ago

To make 100g of jam you need 57g

asambeis [7]

Answer:

The ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.

Step-by-step explanation:

As we have to make 100g of jam

Amount of strawberries = 57g

Amount of blackberries = 13g

Thus

The amount of sugar needs to be added to the mixture: 100 - (57 - 13) = 56g

Therefore, the ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.

8 0

3 years ago

Let the probability of success on a Bernoulli trial be 0.26. a. In five Bernoulli trials, what is the probability that there wil

andreyandreev [35.5K]

Answer:

0.3898 = 38.98% probability that there will be 4 failures

Step-by-step explanation:

A sequence of Bernoulli trials forms the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Let the probability of success on a Bernoulli trial be 0.26.

This means that $p = 0.26$

a. In five Bernoulli trials, what is the probability that there will be 4 failures?

Five trials means that $n = 5$

4 failures, so 1 success, and we have to find P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{5,1}.(0.26)^{1}.(0.74)^{4} = 0.3898$

0.3898 = 38.98% probability that there will be 4 failures

4 0

2 years ago