Solve for x to the nearest tenth!!!!

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Debora [2.8K]

Answer:

6

Step-by-step explanation:

This problem centers on recognizing the relationship between fractions and repeating decimals.

Note the following:

$\frac{1}{3}=0.33333333333333333333333333333333333333333333333...$

or more simply $\frac{1}{3}=0.\bar{3}$

This means that $2\frac{1}{3}=2.\bar{3}$

Going back to the original expression, $3\frac{2}{3}+2.\bar{3}$ simplifies to $3\frac{2}{3}+2\frac{1}{3}$

Next, adding mixed numbers. For adding mixed numbers, whole number parts and fractional parts can be added separately (this is because of the associative and commutative properties of addition)... because

$3\frac{2}{3}+2\frac{1}{3}$ means the same thing as

$(3+\frac{2}{3})+(2+\frac{1}{3})$

Changing the order, we can write it as

$3+2+\frac{2}{3}+\frac{1}{3}$

Adding the whole number parts, 3+2 is 5.

Next, adding the fraction parts:

For adding fractions, one must have a common denominator (the bottom part of the fraction must be the same). Once they are the same, the denominator just sort of "hangs out" until the end without changing, and the numerators (the tops) are added together.

Fortunately, the denominators are already the same. So, add the numerators, and the denominator will stay as a 3.

$\frac{2}{3}+\frac{1}{3}$

$\frac{1+2}{3}$

$\frac{3}{3}$

It is important to recognize that any fraction* where the number on the top matches the number on the bottom, the fraction is equivalent to 1.

*(except if the number we're talking about is zero)

So, the fraction parts added together, are equivalent to 1, and the whole number parts added were equal to 5. Returning to our expression...

$3+2+\frac{2}{3}+\frac{1}{3}$

$5+\frac{3}{3}$

$5+1$

$6$

7 0

2 years ago

How is a relationship determined when looking at a scatterplot?

Assoli18 [71]

Scatter plots are similar to line graphs in that they use horizontal and vertical axes to plot data points. However, they have a very specific purpose. Scatter plots show how much one variable is affected by another. The relationship
between two variables is called their correlation .

4 0

3 years ago

Read 2 more answers

1. Slope of line 1: 5/12 Slope of line 2: 12/5 Parallel Perpendicular Neither

ad-work [718]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprin

Rashid [163]

The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used

Answer:

Hours of use of sprinkler by Lewis family is 30 hours.

Hours of use of sprinkler by Perry family is 35 hours.

Step-by-step explanation:

Let W = hours of use by Lewis family

65 - W = hours of use by Perry family

Then;

15W + 40*(65 - W) = 1850

15W + 2600 - 40W = 1850

(15 - 40)W = 1850 - 2600

-25W = −750

W = 750/25 = 30

Therefore;

W = 30

65 - W = 65 - 30 = 35

Hence,

Hours of use by Lewis family is 30 hours.

Hours of use by Perry family is 35 hours.

3 0

3 years ago

Given a real number x and a positive integer k, determine the number of multiplications used to find x2k starting with x and suc

Alex

Answer: It is a more efficient way to find x2k than by multiplying x by itself the appropriate number of times.

Step-by-step explanation: Please find the attached file for the solution

8 0

3 years ago