All categories

3 years ago

If 16 is added to one-third of a number, the result is three times the number. What is the number?

1 answer:

4 0

First set up the equation based on the description.

$\frac{1}{3}$ x + 16 = 3x

Use subtraction to get the "x"s on one side of the equation. You can next subtract $\frac{1}{3}$ x from both sides.

16 = $\frac{8}{3}$ x

Now you can multiply both sides of the equation by $\frac{3}{8}$ to solve for x

x = 6

You might be interested in

Which two choices are equivalent to the fraction below 4/6

valentina_108 [34]

The choices b and c are equivalent to $\frac{4}{6}$ .

Step-by-step explanation:

Step 1:

First, we need to bring the fraction $\frac{4}{6}$ to its simplest form. To do so, we divide the numerator and the denominator by the greatest factor.

The greatest factor for 4 and 6 is 2. So we divide it by 2.

So $\frac{4}{2}=2, \frac{6}{2}=3, \frac{4}{6}= \frac{2}{3}$ .

Step 2:

Similarly, we need to do the same for all the given four options.

a. $\frac{2}{4}$ , the greatest factor for 2 and 4 is 2. So we divide the fraction by 2.

So $\frac{2}{2}=1, \frac{4}{2}=2, \frac{2}{4}= \frac{1}{2}$ .

b. $\frac{8}{12}$ , the greatest common factor for 8 and 12 is 4. So we divide the fraction by 4.

So $\frac{8}{4}=2, \frac{12}{4}=3, \frac{8}{12}= \frac{2}{3}$ .

For options c and d, 1 is the greatest factor so they cannot be simplified. They remain as they are.

Step 3:

So options b and c are equal to the simplification of $\frac{4}{6}$ i.e. $\frac{2}{3}$ .

5 0

3 years ago

1. Which of the following values of n will make the below equation true? n × (−2+5 ) = −8+20

Salsk061 [2.6K]

Answer:

1a 2a

Step-by-step explanation:

n × (−2+5 ) = −8+20

n × 3 = 12

n = 4

2 + (n+6) = −1+6

n + 8 = 5

n = -3

7 0

2 years ago

Which of the following is the best estimate for 31% of 9? *GIVING 99 Points!*

Marina CMI [18]

Hello! So, when you know your fractions and percents, you know that about 33% equals 1/3. 31 is close to 33, so the best estimate for 31% of 9 is 3. When you solve it on a calculator, 9 * 31% (0.31) is 2.79, which rounds off to 3 when rounded to the nearest whole number. The answer is B: 3.

5 0

3 years ago

Read 2 more answers

What is the value of the expression below when y=8 2y+7

Gala2k [10]

Answer:

Step-by-step explanation:

if y=8 then you plug it inti the equation

2(8)+7

16+7=23

3 0

3 years ago