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Answer:

a. The height is a function of age is denoted as

 =>  f(age) = age * constant

Step-by-step explanation:

The function f: Age ⇒ Height, where age is from the set Age and height is from the set Height.

The age is the independent variable whose value determines the value of the dependent variable height and the constant is a part of the equation and a number that does not change.

height = age * constant

f(age) = age * constant  = height

Eg: if height = age * 3 , where f(5), the height or the f(age) of the height is;

     f(5) = 5 * 3 = 15,

The height is 15.

Answer:

Step-by-step explanation:

Find the supplement of 5x + 62

Call the supplement = z

5x + 62 + z = 180                Subtract 5x + 62 from both sides

z = 180 - (5x + 62)               Remove the brackets

z = 180 - 5x - 62

z = 118 - 5x

Add the 3 angles to 180

37 + 3x + 47 + 118-5x = 180    All triangles have 180 degrees. Combine like terms

202 - 2x = 180                        Subtract 202 from both sides

-2x = - 22                                Divide by -2

x = -22/-2

x = 11

======================

x = 11

5x + 62 = 5*11 + 62 = 55 + 62 = 117

3x + 47 = 3*11 + 47 = 33 + 47 = 80

Note these do not add up to 180. That's because 5x + 63 is outside the triangle.

The supplement of 117 = 63

37 + 63 + 80 = 180 as it should.

Answer:

The answer is x=16

Step-by-step explanation:

hope that helps

Let's solve your equation step-by-step.

x−5.5=10.5

Step 1: Add 5.5 to both sides.

x−5.5+5.5=10.5+5.5

x=16

Answer:

x=16

Answer:

22.5 pounds of mashed potatoes

Step-by-step explanation:

I start by dividing 15 by 10 to see how many pounds of mashed potatoes come from a single potato and get 1.5. I then multiply 1.5 times 15 (our number of potatoes) which gives me the answer of 22.5.

Answer:

1) x=0.25, or 1/4, 2) 6.5

Step-by-step explanation:

1)

3(x-2) + 5x+4

3x - 6 + 5x + 4

8x - 6 + 4

8x + 2

/2 /2

x= 0.25

2)

4 - 2(x+7) - 3

4 - 2x - 14 + 3

4 - 2x - 17

-2x - 13

/-2 /-2

x = 6.5

Answer:

2.5

Step-by-step explanation:

16-13.50

Answer:

Muffins: $1.50

Bagels: $1.00

Step-by-step explanation:

Ight, so this is a system of equation. Let's find the variables first.

m = amount of muffins

b = amount of bagels

4b + 8m = 16

6b + 5m = 13.50

Any questions let me know! Hope this helps and have a great day!

Answer:

[tex]Distance = 30\ ft[/tex]

Step-by-step explanation:

Given

[tex]Time = 5\ secs[/tex]

[tex]Speed = 6ft/sec[/tex]

Required

Determine the distance traveled

Distance is calculated from speed formula as thus:

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute values for Speed and Time

[tex]6 = \frac{Distance}{5}[/tex]

Make Distance the subject

[tex]Distance = 5 * 6[/tex]

[tex]Distance = 30\ ft[/tex]

Hence, the distance traveled is 30ft

Answer:

54

Step-by-step explanation:

Answer:

constant of proportionality is 45 packages an hour.

Step-by-step explanation:

you do 315 divided by 7. the x is hours and the y is packages.

Answer:

1) 14135 = B) múltiplo de 5 C) múltiplo de 11

Step-by-step explanation:

Para saber si un numero es un multiplo de otro simplemente tenes que dividir el otro numero por el primero y si el resultado es un numero entero (sin resto y que no es un decimal) entonces es un multiplo de ese numero. En esta pregunta el primer numero (14135) es multiplo de 5 y de 11 por que al dividir no quedan restos, pero no es multiplo de 3 por que si quedan restos.

14135 / 3 = 4,711.666

14135 / 5 = 2,827

14135 / 11 = 1,285

El segundo numero (11234125723) no es multiplo de ninguna de las opciones por que todos dejan restos.

11,234,125,723 / 3 = 3,744,708,574.33333

11,234,125,723 / 5 = 2,246,825,144.6

11,234,125,723 / 11 = 1,021,284,156.636363

Answer:

Width, W = 15 inches

Step-by-step explanation:

Let L = length of the rectangle

Let W = width of the rectangle

Given the following data;

Area, A of rectangle = 375 in²

Length, L of rectangle = 25 in

*To find the width of the rectangle*

We know that the area of a rectangle is given by the formula;

[tex] Area = length * width [/tex]

[tex] A = L * W[/tex]

Making "W" the subject of formula;

[tex] W = \frac {A}{L} [/tex]

Substituting into the equation, we have;

[tex] W = \frac {375}{25} [/tex]

W = 15 in

Therefore, the width of the rectangle is 15 inches.

Answer:

-14x-48

Step-by-step explanation:

Answer:

Option C) 16(0.5x - 0.75y + 2)

Step-by-step explanation:

16(0.5x - 0.75y + 2) = 16*0.5x - 0.75y*16 + 2 *16

                                = 8.0x - 12.0y + 32

                                =  8x - 12y + 32

Answer:

24in

Step-by-step explanation:

(8)(6)/2 = 24

Area=bh/2

where b=8,h=6

=8×6/2

Answer:

Step-by-step explanation:

Step one:

given data

length =(x + 3)cm

width= (½ x)cm

perimeter= 16cm

Step two:

we know that the perimeter of a rectangular shape is expressed as

P=2L+2W

substitute we have

16=2(x+3)+2 (½ x)

solve for x

16=2x+6+x

16-6=3x

10=3x

divide both sides by 3

x=10/3

x=3.3

we know that length =(x + 3)cm

length =(3.3 + 3)= 6.3cm

width= (½ x)cm

width= (½*3.3)= 1.66cm

Answer:

0.7

Step-by-step explanation:

Deandra spent $14.00 of the $20.00 in her wallet.

We write this expression above in a fraction format

= $14.00/$20.00

= 14/20

The decimal is equivalent to the fraction of the $20.00 Deandra spent is:

= 14/20

Dividing both the numerator and denominator by 2

= 7/10

= 0.7

Answer: x> − 12

Step-by-step explanation:

hope this helped

Answer:15

Step-by-step explanation:

In a square each side is the same length so you simply take 60 and divide it by 4 and you get 15.

Answer:

t=75°

Step-by-step explanation:

We know, opposite sides are parallelogram is parallel, therefore slopes are equal.

Slope of line one :

[tex]m=\dfrac{-7-(-6)}{3-1}\\\\m =\dfrac{-1}{2}\\\\m= -0.5[/tex]

So, equation of other line passing through (-4,5) and have slope of -0.5 is :

y-5 = -0.5( x-(-4))

y-5 = -0.5x - 2

y  + 1/2x = 3

2y + x = 6

Therefore, equation of line containing the (-4, 5) is 2y + x = 6.

Hence, this is the required solution.

Answer:

1. 51.2

2. 1080

3. 6.35

4. 2.7348

Step-by-step explanation:

spider knows all /╲/\╭(ರರ⌓ರರ)╮/\╱\

Answer:

La media aritmética es 2.3

Step-by-step explanation:

Average o Promedio

El promerio, average, o valor medio es un valor representativo de un conjunto de datos y se calcula según la fórmula:

[tex]\displaystyle \bar x=\frac{\sum x_i}{n}[/tex]

Donde xi es el valor de cada dato, y n es el número de datos.

Los datos presentados son:

1, 4, 1, 1, 4, 2, 3, 1, 4, 2

Nótese que hay un total de n=10 datos. Aplicamos la fórmula recordando que el símbolo Σ significa sumatoria:

[tex]\displaystyle \bar x=\frac{1+ 4+ 1+ 1+ 4+ 2+ 3+ 1+ 4+ 2}{10}[/tex]

[tex]\displaystyle \bar x=\frac{23}{10}=2.3[/tex]

La media aritmética es 2.3

Answer:

0.84

Step-by-step explanation:

Well if you do 6.72/8 that will give you the answer which is 0.84

Answer:

2 times 25 and 5 times 10, then add would give u $100 in total.

Answer:

the least value is in the vertex

at the point ( 2/3 , 14/3)