Write an algebraic expression for the area of the conference room

76.80

Hi there !

100% .............. 120

64% .....................x

x = 64×120/100

= 7680/100

= 76.80

Good luck !

Answer:

I think its 300

Step-by-step explanation

This is from my understanding, so I may be a bit wrong.

1. First observe the amount of triangles that form, you have two main triangles and one isosceles triangle that forms in the middle by how these are joined together.

2. Using this idea we will come up  with the equations of  each triangle that has been formed.

3. We can observe that almost all angles are named with a variable except the one in the middle, being an isosceles we will name the missing variable y.

4. Triangle 1(left side) or T1 equals 180 degrees but what angles form this triangle, these would be p+q+y = 180, T2(right side) = r+s+y = 180

5. After creating these two triangles we notice that we have not taken into account the triangle in the middle, we are given 1 angle of this isosceles. There is a mathematical property which I don't remember the name, but essentially the angle below is the same as the angle above, this being 120 degrees. This will result in T3 = 2y + 120 = 180

6. Solve for y, which gives us y=30, *simple triangle math you know*

7. Finally we fix our equations for p+q+r+s, essentially T1 and T2 will transform into p+q = 180-y and r+s = 180-y, we add them up forming p+q+r+s = 2(180-y)

8. Solve the equation p+q+r+s = 360 - 2y which when adding y becomes p+q+r+s = 360-60 = 300

Notes: when doing these exercises it is important to take into account every triangle, the isosceles triangle is very vital for solving it, as it gives us a way for making an equation that is single handedly dependent on y a constant we can find and use. A good approach for these issues would be writing every piece of information as separate sets and then trying to join them using algebra.

Answer: 37.50-18.30+4.80h

Answer:

$2.50

Step-by-step explanation:

to find the unit price you would divide it by 23

so 57.50/23=2.50

hope this helps

brainliest?

Answer:

27

Step-by-step explanation:

 To solve this problem, let us follow it step by step;

 Let Peter's number  = P;

     So;

    ⇒   P - 17

    ⇒  -2 (P - 17 )

    ⇒  -2 (P - 17 ) = -20

Solve the problem for P;

        -2 (P - 17 ) = -20

        -2P + 34  = -20

        -2P = -20 -34

          -2P  = -54

              P = 27

Answer:

Answer:

27

Step-by-step explanation:

To solve this problem, let us follow it step by step;

Let Peter's number  = P;

    So;

   ⇒   P - 17

   ⇒  -2 (P - 17 )

   ⇒  -2 (P - 17 ) = -20

Solve the problem for P;

       -2 (P - 17 ) = -20

       -2P + 34  = -20

       -2P = -20 -34

         -2P  = -54

             P = 27

Step-by-step explanation:

9514 1404 393

Answer:

  A(x) = -2/5x^2 +200x

Step-by-step explanation:

There are 5 lengths of fence that are y long, and 2 lengths of fence that are x long. So, the perimeter is ...

  5y +2x = 1000

Then the value of y is ...

  y = (1000 -2x)/5

The area is the product of x and y:

  A(x) = xy

  A(x) = x(1000 -2x)/5

  A(x) = (2/5)(x)(500-x) . . . a convenient form for finding the maximum area

In standard form, the equation is ...

  A(x) = -2/5x^2 +200x

Answer:

its right

Step-by-step explanation:

you are insine or what ever you know what i mine alright im not smart or dum

[tex]b = - a + \frac{1}{3} d[/tex]

Answer:

$140

Step-by-step explanation:

8x+6x

Answer: 1595 jumbo size

Step-by-step explanation:

From the question, let regular size toys be represented by a.

We are informed that the company made 11 times as many regular size toys as jumbo size toys. This means that:

Jumbo side toys = 11 × a = 11a

To calculate the number of jumbo size dog toys they make goes thus:

11a + a = 1740

12a = 1740

a = 1740/12

a = 145

Jumbo size toys = 11a

= 11 × 145

= 1595

Answer:

Both castles will have the same height at 3.33 minutes

Step-by-step explanation:

This problem will be solved with linear modeling, that is, expressing both people's sand castle's height as a function of time.

Justin built a sandcastle 180 cm tall, and its height is losing at 8 cm/min by the effect of wind. Thus, the height of Justin's sandcastle is:

[tex]H_J=180-8t[/tex]

Where t is the time expressed in minutes.

Taylor's sandcastle is initially 160 cm tall. The wind blows away sand at 8 cm/min but she adds sand at 6 cm/min, thus the real loss of sand is 8 cm/min - 6 cm/min= 2 cm/min. Thus, the height of Taylor's sandcastle is:

[tex]H_T=160-2t[/tex]

To find when both castles have the same height, we set:

[tex]180-8t=160-2t[/tex]

Simplifying:

6t=20

Solving:

t=20/6=3.33\ minutes

Both castles will have the same height at 3.33 minutes

Answer:

the answer is b between 6 and 7

Step-by-step explanation:

i say this because the square root of 41 is 6.4031.

6.4031 is in between 6 and 7.

hope this helps :)

Answer:

i think you did it right :)

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Don't worry about anything you got it. Great work!

Answer: x=7

Step-by-step explanation:

Answer:

See picture below.

Explanation

I took the test and got a 100% on it, so this should be right for any future students.

Answer:

grapgh?????

Step-by-step explanation:

Given:

She is required to read a total = [tex]10\dfrac{5}{6}[/tex] hours a week.

Monday she read [tex]1\dfrac{1}{3}[/tex] hours.

Tuesday she read [tex]\dfrac{3}{4}[/tex] of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = [tex]10\dfrac{5}{6}[/tex] hours a week.

Total time she already read [tex]=1\dfrac{1}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{4}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{16+9+36}{12}[/tex] hours

                                              [tex]=\dfrac{61}{12}[/tex] hours

Now,

Remaining time = Total time - Total time she already read

                         [tex]=10\dfrac{5}{6}-\dfrac{61}{12}[/tex]

                         [tex]=\dfrac{65}{6}-\dfrac{61}{12}[/tex]

                         [tex]=\dfrac{130-61}{12}[/tex]

                         [tex]=\dfrac{69}{12}[/tex]

                         [tex]=\dfrac{23}{4}[/tex]

                         [tex]=5\dfrac{3}{4}[/tex]

Therefore, the required time is  [tex]5\dfrac{3}{4}[/tex] hours.

Answer:

about 1854.55 miles (rounded to the hundredth)

Step-by-step explanation:

1.

[tex] \frac{44}{100} = \frac{816}{x} [/tex]

The first fraction represent the percentage of the distance.

The second one represent the number of 816 miles out of x

2. 100 × 816 = 44 × x

3. You'll get 81,600 = 44x

4. and then you divided both side by 44 to solve for x

Answer: The cost of a chicken wrap is $10.99

The cost of one order of potatoes is $4.99.

Step-by-step explanation:

Let the cost of a chicken wrap be x

Let the cost of one order of potatoes be y.

From the question,

3x + 2y = $42.95 ...... equation i

5x + 4y = $74.91 ....... equation ii

Multiply equation i by 5

Multiply equation ii by 3

15x + 10y = $214.75 ..... equation iii

15x + 12y = $224.73 ....... equation iv

Subtract equation iv from equation iii. This will be:

-2y = -$9.98

y = $9.98/2

y = $4.99

Since 3x + 2y = $42.95

3x + 2($4.99) = $42.95

3x + $9.98 = $42.95

3x = $42.95 - $9.98

3x = $32.97

x = $32.97/3

x = $10.99

The cost of a chicken wrap is $10.99

The cost of one order of potatoes is $4.99.

Answer:

3x^2-x-2 or (x+1) (3x-2) (x-2)

Step-by-step explanation:

I'm assuming you have to divide:

(x-2)[tex]\sqrt{3x^3-5x^2-4x+4}[/tex]

Hope this helps.

Answer:

p(x)=(x+1)(3x-2)(x-2)

Step-by-step explanation:

Answer:

-4.1, -3.5, -1.4, 5.3

Step-by-step explanation:

hope this helps!

Answer:

d=5

Step-by-step explanation:

0.4 times 3= 1.2

0.4 times -5= -2

4+5= 6

6/1.2=5

Answer:

Step-by-step explanation:

[tex]x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0[/tex]

So to complete the square we need to add (and subtract) the number  [tex]\frac{225}4[/tex]

Answer:

Yes to both

Step-by-step explanation:

Answer:

40,000

Step-by-step explanation:

You just add 60,000 and 30,000 which makes 90,000 and subtract it with the 50,000 then which equals to 40,000. you don't need to rate me.

Answer:

The answer is B.200

Step-by-step explanation:

145.93×1.37=199.9

We need to multiply because the second team takes the times as longer than the first team. The answer is 200 because we need to roundup 199.9 into 200

Hope it helps :)

Answer:

the correct answer would be -2f+7

Answer:

Step-by-step explanation:

3 7/10 *7

37/10 *7

259/10

25.9 or 25 9/10