determine an expression to represent both the perimeter and area of the following 2D shape

Answer:

250

Step-by-step explanation:

Amount she earns = 750

amount she spend = ⅘ of 750 = ⅘×750= 600

amount she saves = 750-600

Shola saves $150 every month.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is multiplied by 3, or 2 is added 3 times.

Given:

Shola earns $750 every month.

She spends 4/5 of her salary.

That means,

4/5 of $750.

And 4/5 of $750 = 4/5 x 750

                            = 4 x 150

                            = 600

She spends $650 per month.

Saved amount,

= $750 - $600

= $150

Therefore, $150 is her monthly savings.

To learn more about the multiplication;

https://brainly.com/question/19634536

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Answer:

Step-by-step explanation:

Let x = base side length

y = side height

volume V = x²y

y = V/x²

surface area

A = x² + 4xy

A = x² + 4x(V/x²)

A = x² + 4V/x

Solving for volume

V = (A - x²)(x/4)

V = ¼(Ax - x³)

a maximum will occur when the derivative equals zero

V' = ¼(A - 3x²)

0 = ¼(A - 3x²)

0 = A - 3x²

3x² = A

3x² = 1100

x² = (1100 / 3)

x = √(1100/3)

V = (A - x²)(x/4)

V = (1100 - √(1100/3))²(√(1100/3)/4)

V = 3,510.56606...

V = 3510.6 cm³

The box height will be half of the base side length.

y = ½√(1100/3)

Answer:

310

Step-by-step explanation:

Answer:

310

Step-by-step explanation:

is/of = % / 100

[tex]93/x = 30/100[/tex]

93 * 100=9300

9300/30 = 310

Answer:

Do the same thing for the other exercises and you should find the results. They are all complimentary angles, that means if you sum the two equations representing the angles of each exercise they will be equal to 180º always

Step-by-step explanation:

3. notice 2x is complimentary of 2x + 80 because 2x is opposed to that blank space that compliments it.... I'm bad at explaining, I'll just show.

2x + 2x + 80 = 180

4x + 80 = 180

4x = 180 - 80

4x = 100

x = 25º

so then:

2x = 2*25

2x = 50º

and:

2x + 80 = 50 + 80

2x + 80 = 130º

Answer:

the answer would be 35...

Step-by-step explanation:

Dont know how to explain it on here

Answer:

Look if you say 100 points. Give a hundred points. If you want an answer be honest~ and say fifty points

Step-by-step explanation:

1=17

2=97

Answered:

1 = 17

2 = 97

Answer:

Danielle sent 554 text messages that month.

Step-by-step explanation:

In Oct she owed: $8 + 60¢

Because 15¢ = 1 additional message => 60¢ = 4 additional messages

So Danielle sent 550 messages (=$8) and 4 additional messages (=  60¢)

=> She sent: 550 messages + 4 additional messages = 554 messages

Hope this helps!

Answer:

Step-by-step explanation:

cost of 1 almirah = $ 2345

cost of 12 such almirah = 2345 x 12.

= $28140...ans

Answer:

Step-by-step explanation:

multiply by 6

4-24x+21=-54x+5

54x-24x=5-4-21

30x=-20

x=-20/30=-2/3

Answer:

how old is Madison right then I can't really help u solve it with that little info

Using quadratic function concepts, it is found that:

a) The value of a is -2000.

b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.

c) Between 140 and 160 computers need to be produced.

The profit is modeled by:

[tex]y = a(x - 100)(x - 200)[/tex]

Item a:

If 120  computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.

[tex]y = a(x - 100)(x - 200)[/tex]

[tex]3200000 = a(120 - 100)(120 - 200)[/tex]

[tex]-1600a = 3200000[/tex]

[tex]a = -\frac{3200000}{1600}[/tex]

[tex]a = -2000[/tex]

The value of a is -2000.

Item b:

We first place the quadratic function into standard form, thus:

[tex]y = -2000(x - 100)(x - 200)[/tex]

[tex]y = -2000(x^2 - 300x + 20000)[/tex]

[tex]y = -2000x^2 + 600000x - 40000000[/tex]

Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].

Then, we have to find the vertex:

[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]

[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]

[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]

The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.

Item c:

We are working with a concave down parabola, hence the range is between the roots of:

[tex]y = -200x^2 + 600000x - 40000000[/tex]

[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]

[tex]-200x^2 + 600000x - 44800000 = 0[/tex]

The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].

Then:

[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]

[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]

[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]

Between 140 and 160 computers need to be produced.

A similar problem is given at https://brainly.com/question/24705734

Answer:

depends how much he chopped up

Step-by-step explanation:

Answer:

Nothing

Step-by-step explanation:

"5. Hamza chopped up

pineapple and gave ½ to his

mum. He also ate half himself.

How much was left to give to

his dad?"

1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0

Answer: There was nothing left for him.

Answer:

185.64 [tex]cm^{2}[/tex]

Step-by-step explanation:

Width =7.5+3.9*2 = 15.3 cm

Length = 8.5+3.9*2=16.3 cm

Big Area = 15.3*16.3 = 249.39 [tex]cm^{2}[/tex]

Small Area = 7.5*8.5 = 63.75 1 [tex]cm^{2}[/tex]

area bounded by the path of the bug = 249.39-63.75 = 185.64 [tex]cm^{2}[/tex]

Hi how u doin ?

[tex] \frac{16}{x + 4} = \frac{1}{2} \\ [/tex]

inverse both sides

[tex] \frac{x + 4}{16} = \frac{2}{1} \\ [/tex]

Multiply both sides by 16

[tex]16 \times \frac{x + 4}{16} = 16 \times 2 \\ [/tex]

[tex]x + 4 = 32[/tex]

Subtract both sides 4

[tex]x + 4 - 4 = 32 - 4[/tex]

[tex]x = 28[/tex]

There u go..... Have a great day ❤

this is just and addition to the great posting below, just supplementing.

keeping in mind that the midsegment of a triangle is half the length of the parallel base/side, Check the picture below.

Answer:

5,625

Step-by-step explanation:

divide 3375 by 3 and get 1125 now multiply that by two and get 2250. Add 3375 by 2250 to get 5625 students

Answer:

The divisor is called a factor of the dividend.

Step-by-step explanation:

Hope this helps

(Brainliest is appreciated)

Answer:

If a divisor divides the dividend exactly and leaves no remainder, this divisor is also called a factor of that dividend. Therefore, all factors of a number are divisors, but not always all factors have to be factors of a number The factors of 8 are for example 1, 2, 4 and 8, because 8 can be divided exactly by 1, 2, 4, 8.

Step-by-step explanation:

Hope this helps :)

Answer:

- x(- 8x^2 + 3x)

8x^3 - 3x^2

Answer:

  y +17 = -5/3(x -19)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

You want a line with slope -5/3 through point (19, -17). Its equation is ...

  y -(-17) = -5/3(x -19) . . . . . substitute the given values

  y +17 = -5/3(x -19) . . . . . simplify

If I'm watching Gossip Girl, then it is Monday.

Hope this helps you!

Answer:

if i am watching Gossip   Girl then it is monday

Step-by-step explanation:

that is the common sense that everyone should know

hope this helps everyone and have a great summer!

Answer:

C. Hope It's Help :)))))

Answer:

4.5

Step-by-step explanation:

∛100 = ?

100 = 2 x 2 x 5 x 5

∛100

= ∛ ( 2 x 2 x 5 x 5 )

= 4.642

4.642 ~ 4.5

The approximation 4.642 can also be written as 4.5

Therefore,

∛100 = 4.5

Answer:

0.69 rounded to the nearest tenth is 0.7

Answer:

the answer is 28$ because since the lbs get doubled so ypu also have to double the cost

Answer:

15 degrees

Step-by-step explanation:

It is a right angle!

61 + 14 = 75

90 - 75 = 15

Hope this helps!!! :))

Answer:

No solution

One solution

Many solutions

One solution

Step-by-step explanation:

Let's use y = mx + b

m = coefficient (or slope)

b = constant ( or y-intercept)

If they have different y-intercepts but they're both rising the same amount there would be no solution because they would never cross

If the slope was different but the same y-intercept they would cross on the y-axis, making them have one solution

Equal coefficients and constants is correct, there would be infinite solutions

Different slopes and different y-intercepts would make them cross randomly one, so one solution

Hope this helped! Comment if it does or not :)

Answer:

B-NO CORRELATION.....

The relationship between airplane 1 and airplane 2 is an illustration of objective function

14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost

Represent P1 and P2 with x and y, respectively.

From the question, we ave have the following parameters:

                    x             y           Minimum

First class   20          18                400

Tourist        50          30               900

Economy    110          44              1500

Cost        10000      85000

So, the objective cost function to minimize would be:

C = 10000x + 8500y

And the constraints are:

20x + 18y ≥ 400

50x + 30y ≥ 900

110x + 44y ≥ 1500

x, y ≥ 0

Next, we plot the graphs of the constraints

From the graph (see attachment), we have the following feasible solutions

(x,y) = {(4.9,21.8), (8.5,12.7), (14,6.7)}

Substitute these values in the objective function.

C(5,22) = 10000 * 5 + 8500 * 22 = 237000

C(9,13) = 10000 * 9 + 8500 * 13 = 200500

C(14,7) = 10000 * 14 + 8500 * 7 = 199500

The minimum value is:

C(14,7) = 199500

Hence, 14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost

Read more about objective function at:

https://brainly.com/question/16826001