What is the area of a rectangular room that is 9 3/5 meters long and 8 3/4 meters wide

The perimeter of the shape is determined as 19.91 units and the area is 20.87 sq. units.

The perimeter of an object or a shape is the distance around the edge of the shape.

Length of AB = √[(6 - 3)² + (5 - 5)²] = 3 units

Length of AC = √[(4 - 3)² + (-1 - 5)²]  = 6.1 units

Length BD = √[(6 - 1)² + (5 - -1)²] = 7.81 units

Length CD = √[(1 - 4)² + (-1 - -1)²]  = 3 units

Perimeter of the shape ABCD = 3 units + 6.1 units + 7.81 units + 3 units = 19.91 units.

The formula for area of a trapezoid will be used to determine the area of the shape as shown below;

A  = ¹/₂(6.1 + 7.81) x 3

A = 20.87 sq. units

Thus, the perimeter of the shape is determined as 19.91 units and the area is 20.87 sq. units.

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Answer:

Choice C

5x³ + 2x² - 4x  - 3

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

So simply add the two terms together

5x³ + 2x² -  7x + 4
                + 3x - 7
--------------------------
5x³ + 2x² - 4x  - 3

The above table can be rewritten as

Name    Calories Consumed

Jorge    2150

Rob        2840

Elan       2910

Pietro    2080

Bill         2425

Calories Consumed are calculated as standard consumption + deviation

1. the number 2300  acts like a base or 0 in this situation

2. Elan's calorie consumption is farthest from the standard and he consume 2910 calories

3. Pietro consumes the fewest calories and he consume 2080

4. Jorge and Bill's  deviations from the standard are opposites

5.Jorge and Bill consumes a number of calories closest to the standard

6.Elan consumes almost 3,000 calories

7.The average deviation from the standard among these five

students is (-125 +540 +610-220 +125)/5 =186  calories

8. the average absolute deviation from the standard among these

five students is 2481 [(2150+2840+ 2910+ 2080+2425)/5]

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Form given information, the probability of rain in Nevada, the probability that it will not rain is 0.7

The probability that if it does not rain, the school bus will be on time is 0.85

The probability that it will rain and the school bus will still be on time is 0.6

In this question, we have been given the probability of rain in Nevada is 0.3

If it rains, the probability of the school bus being late is 0.4

If it does not rain, the probability of the school bus being late is 0.15

We need to find the probability that

a) it will not rain

b) If it does not rain, the school bus bring on time

c) it will rain and the school bus will be on time

The probability that it will not rain in Nevada:

= 1 - probability of rain in Nevada

= 1 - 0.3

= 0.7

The probability that if it does not rain, the school bus will be on time is:

= 1 - probability of the school bus being late if it does not rain

= 1 - 0.15

= 0.85

The probability that it will rain and the school bus will still be on time is:

= 1 - probability of the school bus being late if it rains

= 1 - 0.4

= 0.6

Therefore, the probability of rain in Nevada, the probability that it will not rain is 0.7

The probability that if it does not rain, the school bus will be on time is 0.85

The probability that it will rain and the school bus will still be on time is 0.6

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After plotting the line of the best fit, the estimated values of a and b are

(30,1.15) and the equation is M = 30L ₊ 1.15

Given, the values of L and M are plotted on the graph.

Then the line of best fit is created on the graph.

A line that most accurately depicts the relationship between data points on a scatter plot is called the line of best fit.

When data points appear to be in a straight line, the line of greatest fit is a straight line.

Therefore, we get the point on the line as (30,1.15)

The equation representing the relation:

M = aL + b

(a,b) from the graph is (30,1.15)

substitute the estimated the values,

M = 30L + 1.15

Hence the required values are estimated and plotted on the graph.

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Answer: 120

Step-by-step explanation: Since the equation is asking for 24% percent of 500 we will have to solve by putting them both as fractions. 24 percent automatically means the denominator will be 100 so we have 24/100. 500 is the denominator since that's the base number we are trying to solve for 24% of 500. So we put x over 500. The equation will be:

24/100 x/500

We multiply diagonally so 24*500=12000.

We then divide 500 by 100 which equals 120.

The reason why we didn't multiply 100 and x is because we are trying to solve for x so we had to simplify each side until we got what x was equal to.

Answer:

She has 120 Red Marbles

Step-by-step explanation:

1% of 500= 5 so you can do 5x24 which would be 120.

I hope it helps you!

~XxBellsAloneXx~

Answer:

  (-16, 0)

Step-by-step explanation:

You want the other endpoint of the segment with midpoint (-6, 4) and endpoint (4, 8).

The midpoint of a line segment has coordinates that are the average of the coordinates of the end points.

  M = (A +B)/2 . . . . midpoint M of segment AB

  2M = A +B . . . . . multiply by 2

  B = 2M -A . . . . . solved for the other end point

  B = 2(-6, 4) -(4, 8) . . . . substitute given coordinates

  B = (2(-6) -4, 2(4) -8) = (-16, 0)

The other end point of the segment is (-16, 0).

Answer:

mth 102 intermediate algebra 2 times a number added to another number is 25 3 times the first number minus the other number is 25 the two numbers that two numbers of 88 and 72

Answer:

here is my answersssssssssss...enjoy

Answer: You Can Search In Internet

Step-by-step explanation: There IS All Step By Step Explanation There Thank You!

Answer:

32. AX = BY

33. 3(p - 3q)

Step-by-step explanation:

distribution means multiply through out, the factored value of 3 should should take you back to the original question. 3×p =3p and 3×-3q=-6q

the function as 17 / 2 = C t for the data given.

Credits we have = 60

credits needed to graduate = 128

Credits in 1 semester = 8

Let the number of semesters be t

Number of credits = C

So, we get the function as:

128 = 60 + 8 C t

128 - 60 = 8 C t

68 = 8 C t

17 / 2 = C t

Therefore, we get that, the function as 17 / 2 = C t for the data given.

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If Werner Company produces and sells disposable foil baking pans to retailers for $2.25 per pan, and the variable cost per pan are [Direct materials $0.24, Direct labor 0.60, Variable factory overhead 0.73, Variable selling expense 0.17] while, fixed manufacturing cost totals $115,117 per year and Administrative cost (all fixed) totals $15,698, then:

1. 256,000 Pans must be sold for Werner to break even.

2. The unit variable cost is $1.74, and the unit variable manufacturing cost is $1.57.

3. 266400 pans must be sold for Werner to earn an operating income of $5,049.

4. A sales revenue of $599,400 must Werner have to earn operating income of $5,049.

First, we have to calculate the number of pans that must be sold for Werner to break even.

Given, Fixed manufacturing costs $115,117

And, Fixed administrative costs $15698

Therefore, Total fixed costs $[tex](115,117+15,698)=130,815[/tex]

Also given, Selling price per unit $2.25

And, total Variable costs per unit $[tex](0.24+0.60+0.73+0.17)=1.74[/tex]

Contribution margin per unit = $[tex](2.25-1.74)=0.51[/tex]

[Since, contribution margin is the difference of the selling price and the variable costs]

Now, formula to calculate Break-even units goes as

(Total fixed costs / unit contribution margin).

Therefore, Break-even units in our case = [tex]\frac{130,815}{0.51}=256,000[/tex] units.

Secondly, we are required to calculate the unit variable cost and the unit variable manufacturing cost.

The unit variable cost is already calculated to be $1.74.

And, the unit variable manufacturing cost is the sum of all the variable costs excluding the variable selling expense, i.e., [tex](1.74-0.17)=1.57[/tex].

Thirdly, we will have to calculate the number of pans must be sold for Werner to earn an operating income of $5,049.

Already calculated, Total fixed costs are $130,815 and Contribution margin per unit $0.51.

Given, target operating income is $5049.

Now, formula to calculate Desired Units to earn profit goes as

(Total fixed cost + Target operating income)/(Contribution margin),

i.e., in our case, [tex]\frac{130815+5049}{0.51} = \frac{135864}{0.51}=266400[/tex] unit pans must be sold for Werner to earn an operating income of $5,049.

Lastly, We need to calculate the sales revenue must Werner have to earn operating income of $5,049.

Since, [Sales revenue = (Desired units * selling price)]

And desired units = 266400, while Selling price per unit, given as $2.25.

Therefore, Sales revenue = [tex](266,400*2.25)=599,400[/tex].

That is, a sales revenue of $599,400 must Werner have to earn operating income of $5,049.

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h = 9.3 - V/πr² is an equivalent expression to V = πr²(9.3 - h) for cylindrical grain cilo.

Every three-dimensional item takes up space in some way. The volume of this area is what is used to describe it. The area occupied within an object's three-dimensional bounds is referred to as its volume. The object's capacity is another name for it.

Finding an object's volume can help us figure out how much of it will be needed to fill it, such as how much water will be needed to fill a bottle, aquarium, or water tank.

It is shown that Volume V = πr²(9.3 - h)

Lets divide both sides with πr²

V/πr² = πr²(9.3 - h)/πr²

         = 9.3 - h

Now, subtract 9.3 from both sides

V/πr²- 9.3  = 9.3 - h - 9.3

                 = -h

Now multiply both sides with -1

-1(V/πr²- 9.3) = -1(-h)

-V/πr² + 9.3 = h

⇒ h = 9.3 - V/πr²

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Answer: 957.5

Step-by-step explanation: The mean is 1096, and the median is 138.5

The difference is 957.5

Using proportions, the total percentage of the athletes who do not enjoy cycling is: 24.5%.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, the proportions of people who do not like cycling are:

Hence the total proportion is:

0.3 x 0.45 + 0.2 x 0.55 = 0.245.

Multiplying by 100% to convert from proportion to percentage, 24.5% of the athletes who do not enjoy cycling.

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Answer:

interior angle is 70 so go answer my question pls

Answer:

  28 c

Step-by-step explanation:

You want the amount of change from -13c to 15c.

The amount of change is found by subtracting the beginning value from the ending value:

  (15 c) - (-13 c) = (15 +13) c = 28 c

The temperature changed by 28 c.

Answer:

A line is connected set of points that extends forever in both directions.

A line segment is a part of line with two end points.

A ray is a part of straight line that extends only in one direction from a fixed point.

If your doing ireadys the answer is 1/2(a-8 but no negative 8 it just original 8

Answer:

C

Step-by-step explanation:

3 7/12 - 1 1/6

1. Change 1 1/6 into the same denominator as 3 7/12.

3 7/12 - 1 2/12

2. Subtract whole numbers.

3 - 1 = 2

3. Subtract the fractions.

7/12 - 2/12 = 5/12

4. Answer is 2 5/12 (C).

hope this helps :)

Answer:

4.5 gallons of gas

Step-by-step explanation:

180 ÷ 40= 4.5

Answer:

4.5 gallons

Step-by-step explanation:

Proportions:

40 miles ⇒ 1 gallon

180 miles ⇒ D gallons

D = 180miles * 1 gallon / 40 miles

D = 4.5 Gallons

the domain will be D = { - 1 , 2 , 4 , 6 } for the function y = 3 x - 4.

We are given a function:

y = 3 x - 4

Now we are also given the range as:

R = { -7 , 2 , 8 , 14 }

For y = - 7, we get the value of x as:

- 7 = 3 x - 4

3 x = - 7 + 4

3 x = - 3

x = - 3 / 3

x = - 1

For y = - 2, we get the value of x as:

2 = 3 x - 4

3 x = 2 + 4

3 x = 6

x = 6 / 3

x = 2

For y = 8, we get the value of x as:

8 = 3 x - 4

3 x = 8 + 4

3 x = 12

x = 12 / 3

x = 4

For y = 14, we get the value of x as:

12 = 3 x - 4

3 x = 14 + 4

3 x = 18

x = 18 / 3

x = 6

So, the domain will be:

D = { - 1 , 2 , 4 , 6 }

Therefore, the domain will be D = { - 1 , 2 , 4 , 6 } for the function y = 3 x - 4.

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Answer: 75 pieces

Step-by-step explanation:

The way to answer this question is through simple cross-multiplication.

oz/pieces = 6 oz/45 pieces = 10 oz/x pieces

Cross multiply to get: 6x=450

Simplify: x = 75

An arithmetic sequence is a sequence of numbers which will have a constant common difference throughout the sequence.

The first term of the sequence is given as a₁ = 12 and

The common difference of the sequence is given as d = -2

We need to find the first four terms of the arithmetic sequence

So, the formula to find the first four terms of an arithmetic sequence is

a, a+d , a+2d, a +3d...

where   a = 12

            d = -2

Then, the arithmetic sequence of the first four-term is

= 12,12 + (-2) , 12 + 2(-2) , 12 + 3 (-2)

= 12 , 12-2 , 12 -4 , 12 - 6

= 12 , 10 , 8 , 6

So the arithmetic sequence of the first four-term is

12,10,8,6.

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The perimeter of triangle ABC is equal to 13.83.

The perimeter of a geometric figure is the sum of its sides. Thus, for a triangle, for example, the perimeter is S1+S2+S3, where S represents the dimension of each side.

Given Data

In this question are given the coordinates of each vertex triangle. Then, you should plot these coordinates  A(1,-6), B(1,-3), and C(-4,-6) in a graph. See the attached  image.

From the plotted points, it is possible to note that  the triangle is a right triangle and its sides are: AB=3 and AC=5. For finding the side BC, it is necessary to apply the Pythagorean Theorem: (hypotenuse)²= (side1)²+(side2)². Thus,

(hypotenuse)²= (side1)²+(side2)²

(BC)²=(AB)²+(AC)²

(BC)²=(3)²+(5)²

(BC)²=9+25

(BC)²=34

BC=[tex]\sqrt{34}[/tex]=5.83

Now, you have all information to calculate the perimeter of the given triangle.

perimeter = AB+AC+BC = 3 +5 +5.83 =8+5.83=13.83

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Answer:

18

Step-by-step explanation:

u suck at life lololol

Answer:

lol

Step-by-step explanation:

0-2-4-3-5

The amount a person would have to deposit today to be able to take out 500$ a year for ten year from an amount earning 9% i

The formula for calculating amount is expressed as:

Amount = Principal + Interest

Determine the interest

Interest = 500*0.09 * 10

Interest = 5 * 90

Interest = $450

Principal= $500 - $450

Principal = $50

Hence the amount a person would have to deposit today to be able to take out 500$ a year for ten year from an amount earning 9% is $50

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