A triangle has side lengths of (1.9x + 6.2y) centimeters, (2.5x + 8.3w) centimeters, and (1.6w - 5.1y) centimeters.PART A:

Write an expression that represents the perimeter, in centimeters, of the triangle.

Show all work.



PART B:

Write an equivalent expression to represent the perimeter from PART A. by factoring out the greatest common factor.

Show all work.


IF ANSWER BOTH I WILL GIVE BRAINIEST

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Part A : Since sides of triangle are ( 1.9x + 6.2y )cm

(2.5x + 8.3w)cm and (1.6w - 5.1y)cm.

Now perimeter of a triangle = sum of all sides length

Perimeter = (1.9x + 6.2y) + (2.5x + 8.3w) + (1.6w - 5.1y)

                = (1.9x + 2.5x) + (6.2y - 5.1y) + (8.3w + 1.6w)

[ collecting the like terms together ]

Perimeter = 4.4x + 1.1y + 9.9w

Part B : Now we factorize the term for perimeter given in part A.

Perimeter = 1.1 (4x + y + 9w)

So equivalent factor will be (1.1 (4x + y + 9w).

Answer 2
Answer:

Answer:

see explanation

Step-by-step explanation:

A

The perimeter is the sum of the 3 sides, thus summing the 3 sides

1.9x + 6.2y + 2.5x + 8.3w + 1.6w - 5.1y ← combine like terms

= 4.4x + 1.1y + 9.9w ← expression for perimeter

B

Factor out 1.1 from each term, thus

4.4x + 1.1y + 9.9w

= 1.1(4x + y + 9w) ← perimeter in factored form


Related Questions

What is one quarter added to one eights?
Find the least common multiple of the following group of numbers. 14, 94, 300
There are 25 servings in a 30.2-ounce jar of peanut butter. How many ounces of peanut butter are there in 1
What greater 9.526 or 95.26
What fraction is equal 2 1/2

The table shows the highest and lowest elevations in Louisiana. What is the difference between the elevations?mt. driskill: 535 ft
new orleans: -8

Answers

The difference is 543 feet 8 + 535 is 543 feet

Final answer:

The difference between the highest and lowest elevations in Louisiana is 543 feet.

Explanation:

The difference between the highest and lowest elevations in Louisiana can be calculated by subtracting the lowest elevation from the highest elevation:

Highest Elevation (Mt. Driskill): 535 ft

Lowest Elevation (New Orleans): -8 ft

Difference = 535 ft - (-8 ft) = 535 ft + 8 ft = 543 feet

Learn more about elevations in Louisiana here:

brainly.com/question/28779070

#SPJ2

When two fractions are between 0 and 1/2, how do you know which fraction is greater? Explain

Answers

Example- 1/3 or 1/5, which is larger? If you divide 1 by 3 the answer is 0.33 If you divide 1 by 5 it's 0.2. Since 0.33(1/3) is larger that would be the answer.
sorry if I make this confusing.
basically divide the top by the bottom to see which is larger. Then compare the fractions.
The are two ways of how you can tell which fraction is bigger than the other.
1. You can convert the fraction into a decimal. For example, 
1/3 = 1÷3=0.3333..
1/4 = 1÷4=0.25
The fraction are between 0 and 1/2. It can be seen that 1/3 > 1/4.

2. Making the to have the same denominator.  For example,
1/3 and 1/4
The lcm of 3 and 4 is 12. So, we can make the 2 fractions to have the same denominater which is 12.
1/3 = 4/12
1/4 = 3/12
Since the dinominator is the same, we can compare the fraction by considering the numerator. 
4 > 3, so, 1/3 > 1/4 

What is the rate of change of the function?

Answers

Answer:

Option A

Step-by-step explanation:

The given function is a linear function therefore rate of change of this function will be the slope of the given line.

Since this line passes through two points ( 0,1 ) and ( 0.5 0 )

the slope of the line = ((y-y'))/((x-x'))

                     slope   = ((1-0))/((0-0.5))

                                 = ( -2 )  

Therfore, Option A will be the answer.

The rate of change of function is,

m = - 2

We have to given that,

A function is shown in figure.

Since, The rate of change of linear function is slope of line.

Here, Two points on the line are (1, - 1) and (0, 1)

Since, The equation of line passes through the points (1, - 1) and (0, 1)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - (-1)) / (0 - 1)

m = 2 / - 1

m = - 2

So, The rate of change of function is,

m = - 2

Learn more about the equation of line visit:

brainly.com/question/18831322

#SPJ6

What percent is 40 % of 120 % of x?

Answers

The required percent  40% of 120% of x is equal to 0.48 times x.

What are percentages?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

To find 40% of 120% of x, we can first find 120% of x, and then find 40% of that result.

120% of x can be found by multiplying x by 1.2:

120% of x = 1.2 * x

Next, to find 40% of the result, we multiply by 0.4:

40% of (120% of x) = 0.4 * (1.2 * x)

So the final answer is:

40% of 120% of x = 0.4 * (1.2 * x) = 0.48x

This means that 40% of 120% of x is equal to 0.48 times x.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ6

Answer:

48 percent

Step-by-step explanation:

Mika’s gym allows her to bring 3 guests for free. After the first three, she must pay $7 per guest. How many guests, g, can she bring to the gym if she pays $42?Three of these equations give the correct value of g. Which equation does NOT?

Answers

Answer:

7g-3=42

Step-by-step explanation:

I got it correct in imagine math. :)

Thank you.

Further explanations? Let me know. :)

Answer:

I would need to see the options

Step-by-step explanation:

But here is how one could look. g=3+(m/p). In this equation g is the amount of guests she can brin, m the amount of money she has and p the price to bring in guests(after the third shown be the 3+...).

There are 4 sandwiches and 10 milk cartons what is the ratio as a fraction in simplest form

Answers

4:10 because its sandwiches to milk cartons

Final answer:

The ratio of sandwiches to milk cartons, expressed as fraction in simplest form, is 2/5.

Explanation:

The question asks about the ratio of sandwiches to milk cartons. There are 4 sandwiches and 10 milk cartons. To express this relationship as a fraction, you would put the number of sandwiches over the number of milk cartons.

Therefore, the ratio of sandwiches to milk cartons as a fraction is 4/10. However, this is not the simplest form of the fraction. Both numbers can be divided by 2 to simplify the fraction. When you do that, you get 2/5. Therefore, the ratio of sandwiches to milk cartons in simplest form is 2/5.

Learn more about Ratio here:

brainly.com/question/32531170

#SPJ12