6(x – 1) = 9(x + 2) solve for x

Consider the figure. What is the area of the figure, in square centimeters?

Serhud [2]

Answer: The

Step-by-step explanation: First we look at our right angles of the shape, Next you analyze your formula and use it to form your answer(formula: Base X Height).Then for the final step you would multiply 9x5=45.We wouldn't be doing all of them because that would be doing Total Area.

4 0

3 years ago

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six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and na

raketka [301]

Answer:

j = 21 and n = 14

Step-by-step explanation:

we have the equations:

6j + n/3 = 134

j/3 + n = 31

54j + 3n = 1206

j + 3n = 93

53j = 1113

j = 21

(21)/3 + n = 31

7 + n = 31

n = 14

6 0

3 years ago

9,13,43,55 what is the mean absolute deviate (MAD) of their ages

lisov135 [29]

Answer:

The mean absolute deviation of this data $\{9,13,43,55\}$ is $MAD =19$ .

Step-by-step explanation:

The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

The steps to find the MAD include:

find the mean (average)
find the difference between each data value and the mean
take the absolute value of each difference
find the mean (average) of these differences

To find the mean absolute deviation of this data $\{9,13,43,55\}$ you must

Step 1: Calculate the mean.

$\:mean=\bar{x}= \frac{9+13+43+55}{4} =\frac{120}{4}=30$

Step 2: Calculate the distance between each data point and the mean and take the absolute value of each difference .

$|9-30|=21\\|13-30|=17\\|43-30|=13\\|55-30|=25$

Step 3: Add the distances together.

$21+17+13+25=76$

Step 4: Divide the sum by the number of data points.

$MAD = \frac{76}{4} =19$

7 0

4 years ago

the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age

Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = $\frac{x}{2}$

2 years more than half of April's age = $\frac{x}{2}+2$

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$$\Rightarrow \ \ x+(\frac{x}{2}+2) =23$

$$\Rightarrow \ \ x+\frac{x}{2}+2 =23$

$$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23$

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23$

$$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23$

Denominators are same, now add the fractions.

$$\Rightarrow \ \ \frac{2x+x+4}{2} =23$

Do cross multiplication.

$$\Rightarrow \ \ 2x+x+4=23\times2$

$$\Rightarrow \ \ 3x=46-4$

$$\Rightarrow \ \ 3x=42$

$$\Rightarrow \ \ x=14$

Aprils's age = 14 years

Laura's age = $\frac{14}{2}+2$

= 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0

3 years ago

Jerry has been staying up late at night to get in some extra study time. He hopes to get accepted into his favorite college and

svet-max [94.6K]

(Answer coming from someone who’s stressed himself)
Upset stomach.
When you’re stressed, you have a higher heart rate, difficulty sleeping, and feeling exhausted the whole day.

3 0

3 years ago

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