Find the perimeter of the rectangle
(Let h = 4 cm and w =15 cm.)

Given:

A rectangle has a length 5 meters more than five times the  width.

The area of the rectangle is less than 100 meters  squared.

To find:

The expression or inequality that represents all possible  widths of the rectangle.

Solution:

Let x be the width of the rectangle.

Length of the rectangle is 5 meters more than five times the  width.

[tex]length=5x+5[/tex]

Area of rectangle is

[tex]Area=length \times width[/tex]

[tex]Area=(5x+5) \times x[/tex]

[tex]Area=5x^2+5x[/tex]

The area of the rectangle is less than 100 meters  squared.

[tex]5x^2+5x<100[/tex]

[tex]5x^2+5x-100<0[/tex]

Divide both sides by 5.

[tex]x^2+x-20<0[/tex]

[tex]x^2+5x-4x-20<0[/tex]

[tex]x(x+5)-4(x+5)<0[/tex]

[tex](x+5)(x-4)<0[/tex]

It is true if one factor is negative and other is positive. So,

[tex]x-4<0\Rightarrow x<4[/tex]     ...(i)

[tex]x+5>0\Rightarrow x>-5[/tex]       ...(ii)

Using (i) and (ii), we get

[tex]-5<x<4[/tex]

Therefore, the required expression or inequality for possible

widths of the rectangle is [tex]-5<x<4[/tex].

Answer: 6

Step-by-step explanation:

Answer:

Assuming this: * means a multiplication symbol, the answer is 56.

Step-by-step explanation:

1. Replace every single x with 20.

2. 20 + 20 * 2 - 20/5

3. Simplify the equation

4. 20 + 40 - 4  (Order of operations. To remember this use

P(parentheses)

E(exponents)

M(multiplication)

D(division)

A(addition)

S(subtraction)

Top to bottom represents which operations you should do first while simplifiying an equation. Addition and subtraction are in equal places. This is the same with multiplication and division.

5. 20 + 40= 60 - 4= 56

Answer:

B) 2 frozen dinners and 2 dozen jelly doughnuts

Step-by-step explanation:

Calculate the total utility for each option.

A) 46

B) 32 + 21 = 53

C) 16 + 30 = 46

D) 28

Option B has the highest total utility.

Answer:

[(2*8) + 3] *4 = 76

[2*(8 - 3)]*4 = 40

Step-by-step explanation:

Los paréntesis ( ), corchetes [ ] y llaves {} son símbolos de agrupación que indican el orden de las cuatro operaciones aritméticas básicas (suma, resta, multiplicación y división). Las reglas del orden de operaciones establece que se debe realizar primero el cálculo dentro de los símbolos de agrupación.

En otras palabras, la jerarquía de operaciones es el orden en el que hay que realizar las distintas operaciones, ya que unas tienen prioridad frente a otras. Y establece primero debes empezar por resolver los paréntesis, luego los corchetes y finalmente las llaves. Es decir, cuando haya símbolos de agrupación dentro de símbolos de agrupación, calcula de adentro hacia afuera. Esto es, empieza simplificando los símbolos de agrupación en el centro.

Para obtener 76, se pueden realizar la siguiente operación combinada:

[(2*8) + 3] *4

Aplicando lo anteriormente mencionado de la jerarquía de operaciones, comienzas por resolver el paréntesis:

[16 + 3]*4

Ahora, resolviendo el corchete:

19*4

Finalmente, resolviendo la multiplicación:

19*4= 76

Entonces [(2*8) + 3] *4 =76

Para obtener 40, se pueden realizar la siguiente operación combinada:

[2*(8 - 3)]*4

Comenzando a resolver el paréntesis:

[2*5]*4

Ahora, resolviendo el corchete:

10*4

Finalmente, resolviendo la multiplicación:

10*4= 40

Entonces [2*(8 - 3)]*4 = 40

Answer:

42

Step-by-step explanation:

Answer:

15 full servings before not having enough left over for another full serving.

Step-by-step explanation:

A --------¢ D

B --------¢ E

C --------¢ F

Just match like this buddy.

Answer:

5

Step-by-step explanation:

Answer:

5 Gallons of gasoline

Step-by-step explanation:

This is true because 190÷38 is five. If you want to check the work 38×5 is 190.

I also got it right on edg. 2020

Answer:

Average rate of change =250

Step-by-step explanation:

Formula to determine average rate of change of the function,

Average rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Where [tex]x_1[/tex] and [tex]x_2[/tex] are the points representing number of years after year 2000.

Since [tex]x_1[/tex] = 5 and [tex]x_2=19[/tex],

[tex]f(x_2)=650[/tex]

And [tex]f(x_1)=300[/tex]

Now average rate of change = [tex]\frac{650-300}{19-5}[/tex]

                                                = [tex]\frac{350}{14}[/tex]

                                                = 250

Therefore, average rate of change of the number of influenza cases from 2005 to 2019 is 250.

(−∞,∞) infinite solutions

Answer:

5

Step-by-step explanation:

Slope is defined as rise over run, so it is (26-11)/(5-2) = 15/3 = 5

Answer:

slope is 5

Step-by-step explanation:

slope formula says m= y2-y1/x2-x1

m=26-11/5-2

m=15/3

m=5

Answer:

453.95 feet exactly

Step-by-step explanation:

Answer:

answer is the 2nd one

Step-by-step explanation:

y = 1/3(3) - 1 = 1 - 1 = 0   (3,0)

y = 1/3(0) - 1 = 0 - 1 = -1   (0, -1)

y= 1/3(6) - 1 = 2 - 1 = 1     (6, 1)

Answer:

Z is 52 degrees.

Step-by-step explanation:

52 plus 38 is 90

Answer:

52°

Step-by-step explanation:

You can say this a 'cardesian plane', where adjacent quadrants are at right angle to each other. So,

z + 38 = 90°

z = 90° - 38° = 52°

Answer:

I'm assuming that the answer is -10

Step-by-step explanation:

Because you are being asked to subtract a negative, the two negative signs cancel each other out to make the equation -35+25. So the answer is -10.

Answer:

-1/5 im right hope all of you have a wonderful day

Step-by-step explanation:

Answer:

which class can you say then I can tell answer

Answer: Area of circle = 12.57cm² (I am assuming you mean area here)

Step-by-step explanation:

Area = πr²

radius = diameter ÷ 2

r = 4 ÷ 2

r = 2

π = 3.14159265359

shorten π to 3.14 for future reference. I just used the π button a a calculator for this answer though.

A = π × 2

A = 12.57

Answer:

Step-by-step explanation:

Solve for π

Answer:

Step-by-step explanation:

V = 4 π r³

      3

solve for π

3*V = 4π r³

3V = π

4r³

therefore.

π = 3V

      4r³

Answer:

(-2,0)

Step-by-step explanation:

remember the rule for 90 degree clockwise is (-y,x) opposite y and x

the negative in there DOES NOT mean it will always be negative it means opposite but in this case yes it's negative because the opposite of positive is negative

Hope this helps dude, I'm also learning this in online school lol. ^-^

The image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).

The given coordinate point is (0, 2).

Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

The rule of 90° counterclockwise rotation: (x, y) becomes (-y, x), here

(-2, 0)

Therefore, the image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).

Learn more about the rotation of 90° counterclockwise here:

https://brainly.com/question/1571997.

#SPJ2

Answer:

A

Step-by-step explanation:

Let x= number of visits she makes

9(number of visits she makes) + 32 (less than or equal to) <= 122

9x+32<= 122

Answer:

25.81%

Step-by-step explanation:

32/124 were homeruns, to make it into a percentage, multiply it by 100%

32/124 × 100 = 25.81%

Answer:

25%

Step-by-step explanation:

32 divided by 124 =.2580

Answer:

$1.25x+$7=$43.25

Step-by-step explanation:

[tex]21x^{2} -16x^{2} = 5x^{2} \\-18x-9x=-27x\\4-8=-4\\25x^{3} +5x^{2} -27x-4\\A[/tex]