It equals 440 not 100.

Answer:

Width of rectangle = 5 cm

Length of rectangle =  17 cm

Step-by-step explanation:

Let the dimensions of rectangle:

Width of rectangle = x

Length of rectangle = 3x+2

Area of rectangle = 85 cm

We need to find dimensions of rectangle i.e length and width.

The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]

Putting values and finding dimensions

[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]

Now, finding value of x using quadratic formula:

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

We have, a =3, b =2 and c=-85

[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]

So, we get x = 5 and x = -5.6

But since the width of rectangle cannot be negative so, we would consider x = 5

Now, the dimensions of rectangle will be:

Width of rectangle = x = 5 cm

Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm

Answer:

$400

Step-by-step explanation:

140 ÷ 35% = 400

Answer:

[tex](x+1)(5x-4)(x-2)[/tex]

Step-by-step explanation:

We know that (x+1) is a factor, so we can use synthetic division to factor it out of [tex]5x^3-9x^2-6x+8[/tex].

Once factored, we get [tex](x+1)(5x^2-14x+8)[/tex]

Now all we need to do is factor[tex](5x^2-14x+8)[/tex]

[tex](5x^2-14x+8)=(5x-4)(x-2)[/tex]

This gives us the answer [tex](x+1)(5x-4)(x-2)[/tex].

p(x) as a product of its linear factors is:

[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]

The given polynomial is:

[tex]p(x) = 5x^3-9x^2-6x+8[/tex]

The divisor = x + 1

The division expression can be written as:

[tex]\frac{5x^3 - 9x^2 -6x + 8 }{x+1} \\\\= 5x^2-14x+8[/tex]

Factorize [tex]5x^2-14x+8[/tex]

[tex]5x^2-14x+8\\\\5x^2-10x-4x+8\\\\5x(x-2)-4(x-2)\\\\(5x-4)(x-2)[/tex]

Therefore, p(x) as a product of its linear factors is written as:

[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]

Learn more here: https://brainly.com/question/18818577

Step-by-step explanation:

Cost of each golf ball = $9.31 / 18

≈ $9 / 18 = $0.5.

Answer: 0.5172222222222222

Step-by-step explanation: divide 18 by 9.31

Answer:

in the explanation

Step-by-step explanation:

According to the triangle midsegment theorem (if these points are midpoints),

2x + 3 is two times longer than 7, meaning it's 14.

2x+3=14

2x=11

x = 11/2

If there is an option for not enough info given, that should be right as it doesn't actually say that they are midpoints

Answer:

The train traveled 60 kilometers per hour.

Step-by-step explanation:

300/5=60

Answer:

60 km/hours

Step-by-step explanation:

in the picture above.

Answer: This file i added shows the graph. If it doesnt help, then you can use M.a.th w.a.y to find the graph

Step-by-step explanation:

Answer:

The angle the aero plane makes with the horizontal is approximately 20.925°

Step-by-step explanation:

The given parameters are;

The distance the aero plane flies = 5.6 km

The elevation to which the aero plane flies = 2 km

The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)

By the trigonometric ratio for the sin of the angle, θ, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]

Therefore, the angle θ the aero plane makes with the horizontal is given as follows;

[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]

The angle the aero plane makes with the horizontal ≈ 20.925°.

Answer:

36:1

Step-by-step explanation:

Divide 504 by 14 to get the ratio

Answer:

x = 23 ; y = 15

Step-by-step explanation:

Given :

Let the numbers be : x and y

x + y = 38 - - (1)

x = y + 8 - - - (1)

Put x = y + 8 into (1)

y + 8 + y = 38

2y + 8 = 38

2y = 38 - 8

2y = 30

y = 30/2

y = 15

x = y + 8

x = 15 + 8

x = 23

Answer:

x= -66

Step-by-step explanation:

Answer:

[tex]A=2x^2+18x+36[/tex]

Step-by-step explanation:

Quadratic Function

It's given the length of a rectangular park is twice its width.

Let's call:

x = width of the rectangular park

2x = length of the rectangular park

The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:

x+3+3=x+6 width of the park and the path

2x+3+3=2x+6 length of the park and the path

The total area is:

A=(x+6)(2x+6)

Operating:

[tex]A=2x^2+6x+12x+36[/tex]

[tex]\boxed{A=2x^2+18x+36}[/tex]

Answer: a. The sales price $568.40

b.the price for the club members is $511.56

Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u

Answer:

Rs 877.2

Step-by-step explanation:

The dimensions of an iron box are 9ft * 4.4ft* 2.5ft. What is the cost of the iron sheet used to make the box, if the cost of the sheet is Rs 6 per Square Foot?

The iron box is shaped as a rectangular prism

The formula for the surface area of a rectangular prism is given as:

S = 2(lw + lh + wh)

L = Length = 9ft

W = Width = 4.4ft

H = Height = 2.5 ft

Hence:

Surface area = 2[(9 × 4.4) + (9 × 2.5) +(4.4 × 2.5)]

Surface area = 2[(39.6) + (22.5) + (11)]

Surface area = 2[73.1]

Surface area = 146.2 ft²

From the question:

The cost of the sheet is Rs 6 per Square Foot

1 ft² = Rs 6

146.2 ft² = x

Cross Multiply

x = 146.2 × Rs 6

x = Rs 877.2

The cost of the iron sheet used to make the box is Rs 877.2

Answer:

hope this helps

Step-by-step explanation:

x=   −1 /4 y +  1 /4

g=  −8x+1 /2x

Answer:

A and C are the correct answer

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

We can set this proportion up as:

[tex]\frac{4.2}{1.5}=\frac{12}{5}[/tex]

For this to be true, cross-products need to be equal:

[tex]4.2(5)=12(1.5)[/tex],

However, we can see that this is not the case:

[tex]4.2\cdot 5 \neq 12 \cdot 1.5[/tex]

Therefore, these ratios are not proportional.

Answer:

X>5

Step-by-step explanation:

So first distribut the numbers

6x-12>2x+8

now subtrct 2x on both sides

4x-12>8

Now add 12 on both sides

4x>20

x>5

Answer: > 5

Step-by-step explanation: I just know

Answer:

x = 5

Step-by-step explanation:

add positive one to both -1 and 14

divide each side by 3

Answer:

2 is the correct answer you know it also

Answer:

C = {-5,2,5} answer

Step-by-step explanation:

ccccccc

Answer:

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