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4 years ago

A triangle has a perimeter of 39 feet. If the three sides of the triangle are n, 4n-2, and 5n-9, what is the length of each side

Mathematics

2 answers:

Lemur [1.5K]4 years ago

7 0

$n + 4n - 2 + 5n - 9 = 39 \\ \\ 10n - 11 = 39 \\ \\ 10n = 50 \\ \\ n = 5$

so the lengths of the sides are 5, 18, 16

lyudmila [28]4 years ago

5 0

Answer:

The sides are 5,18,16

Step-by-step explanation:

To find the perimeter of a triangle, we add up all the sides

n +4n-2 + 5n-9 = 39

Combine like terms

10n -11 = 39

Add 11 to each side

10n-11+11 = 39+11

10n = 50

Divide by 10

10n/10 =50/10

n = 5

Now we need to find each side

n = 5

4n-2 = 4(5)-2 = 20-2 =18

5n-9 = 5(5) - =25-9 = 16

The sides are 5,18,16

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A manager asked her employees how many times they had given blood in the last year. The results of the survey are given below. T

stira [4]

<u>Complete Question</u>

The probability distribution table is given below:

$\left|\begin{array}{c|ccccccc}x&0&1&2&3&4&5&6\\P(x) &0.33 &0.24& 0.16& 0.12 &0.08 &0.05& 0.02\end{array}\right|$

Answer:

1.61

Step-by-step explanation:

The probability distribution table is given below:

$\left|\begin{array}{c|ccccccc}x&0&1&2&3&4&5&6\\P(x) &0.33 &0.24& 0.16& 0.12 &0.08 &0.05& 0.02\end{array}\right|$

We want to determine the mean number of times a person gave blood.

Expected Value, $E(x)=\sum x_i\cdot P(x_i)$

$=(0 \times 0.33)+ (1 \times 0.24)+(2\times0.16)+(3\times0.12)+(4\times0.08)+(5\times0.05)+(6\times0.02)\\=0+0.24+0.32+0.36+0.32+0.25+0.12\\=1.61\\$

The mean number of times a person gave blood based on this survey is 1.61.

4 0

4 years ago

-16 - 6v = -2 (8v -7)

sashaice [31]

-16-6v = -16v+14

-6v= -16v+30

10v=30

v=3

5 0

4 years ago

Which is another way to write the expression t • (14 - 5)

zaharov [31]

C is the answer by using distributive property

8 0

3 years ago

Read 2 more answers

Billy received a raise after his first year on the job to $45,000 from his initial salary of $42,400. What was his real raise st

solong [7]

Billy get 5.9% raise after completing first year.

<h3>What is PERCENTAGE?</h3>

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Here, Billy's initial salary = $ 42,500

After raise, salary become $ 45,000

Change in salary = Raised salary - Initial salary

= 45000 - 42500

= $ 2500

% Change = change / initial salary X 100

= 2500 / 42500 X 100

= 0.0589 X 100

≈ 5.9 %

Thus, Billy get 5.9% raise after completing first year.

Learn more about Percentage from:

brainly.com/question/14979505

#SPJ1

7 0

2 years ago

In his free time Gary spends 10 hours per week on the internet and 9 hours per week on video games. If Gary has 5 hours of free

cluponka [151]

Answer:

Percentage of free time Gary spends on playing video games and using internet = 54.29%

Step-by-step explanation:

Given:

Gary spends 10 hours per week on the internet.

Gary spends 9 hours per week on video games.

Gary has 5 hours free time per day.

To find the percentage of free time Gary is using to play video game and use the internet.

Solution:

Total number of hours of free time Gary has per week = $5\times 7=35$

<em>[As there are 7 days in a week so we multiply by 7]</em>

Total number of hours of free time Gary spends on playing video games and using internet per week = $10+9=19$

Percentage of free time Gary spends on playing video games and using internet per week can be calculated as :

⇒ $\frac{\textrm{Total time spent on playing video games and using internet per week}}{\textrm{Total free time in a week}}\times 100$

⇒ $\frac{19}{35}\times 100$

⇒ 54.29% (Answer)

4 0

3 years ago