Choose the correct answer.
1. What is the equation of a line that passes
through the origin and intersects (4, 6)?
A. y = -3/2x
B. y = -2/3x
C. y = 2/3x
D. y = 3/2x

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:

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:

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.

1. y = [tex]\frac{1}{6}[/tex]x - 2

2. y = 2x + 5

3. y = -7x - 2

4. y = [tex]\frac{1}{2}[/tex]x + 7

5. y = -[tex]\frac{5}{3}[/tex]x - 9

6. y = -x + 5

7. y = -[tex]\frac{2}{7}[/tex]x - 1

8. y = 5x + 4

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:

0.84

Step-by-step explanation:

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

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:

-14x-48

Step-by-step explanation:

Answer: 30 lb of $1.80 candy

60 lb of $1.20 candy

Step-by-step explanation:

let ( x )represent the pounds of $1.80 candy.

Then 90-x will be pounds of $1.20 candy, • Total mix

= 1.80x + 1.20(90-x)

But because we the value to be same as 90 pounds of $1.40 per pound mix, so the equation

= 1.80x + 1.20(90 -x) = 1.40(90)

Simply the equation

= 1.80x + 108 - 1.20x = 126

= 0.60x + 108 = 126

0.60x = 126 - 108

0.60x = 18

divide both sides by 0.60

x = 30.

30 lb is the pounds of $1.80 candy

Substitute x into 90-x

90 - 30

= 60.

pounds of $1.20 candy Is 60 lb.

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: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: 15

Step-by-step explanation:

Plug in 8 for e and solve

8 - ((sqrt 8 + 1) + 2)) + (8 - 3sqrt8) sqrt8 - 4

Answer:

t=75°

Step-by-step explanation:

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:

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:

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:

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:

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

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:

54

Step-by-step explanation:

Answer:

the least value is in the vertex

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

Answer:

Step-by-step explanation:

69

Answer:

24in

Step-by-step explanation:

(8)(6)/2 = 24

Area=bh/2

where b=8,h=6

=8×6/2

Answer:

1 and - 2

Step-by-step explanation:

f(- 3) means what is the value of y when x = - 3

When x = - 3 the corresponding point is (- 3, 1 ) ← with y = 1, thus

f(- 3) = 1

Similarly for f(0)

When x = 0 the corresponding point is (0, - 2 ) ← with y = - 2 , thus

f(0) = - 2

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:

No.

Step-by-step explanation: negative 0.833 is way closer to 0 than it is to 1. The closer the correlation coefficient is to one, the more likely it is correct