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The unit rate of change of d with respect to t is 8/3

The statement is given as:

increase of 3 units in t corresponds to an increase of 8 units in d.

This can be represented using the following ratio

t : d = 3 : 8

Express as fraction

t/d = 3/8

See attachment for the graph of t/d = 3/8

In (a), we have:

t/d = 3/8

Inverse both sides

d/t = 8/3

This means that:

Slope or Rate = 8/3

Hence, the unit rate of change of d with respect to t is 8/3

Read more about linear functions at:

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Answer:

the answer is -2x-y=2

Step-by-step explanation:

Ax+By=C

y=mx+b

y=2x-2

-2x-y=2

Answer:

y=−2x−2

Step-by-step explanation:

4(x-8) = 4x-4*8

= 4x - 32

Answer:

4(x-8) = 4x-4*8

= 4x - 32

Step-by-step explanation:

Total Squares = 10 × 10

= 100

Shaded Squares = 100 - (6×6)

= 64

Non Shaded = 6 × 6

= 36

Now Ratio of shaded portion is 64:100

= 16:25

Percentage = 64/100 × 100

= 64%

Answered by Gauthmath must click thanks and mark brainliest

Answer:

Part A: label the points, so i know what ur talking about

Part B: m=1, the slope of the graph is 1

Step-by-step explanation:

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Answer:

el ancho es

18

 pulgadas y la longitud es

2

×

18

=

36

 pulgadas.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

12 ounces

Step-by-step explanation:

[tex]3 \div 4 \\ = 0.75 [/tex]

[tex]0.75 \times 16 \\ = 12[/tex]

Answer:

12 ounces

Step-by-step explanation:

First one : y=1/3x+4.32

Second one: y=3x-2

Explanation:  try Desmos. its a magical machine

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 6) and (x₂, y₂ ) = (- 1, 4)

m = [tex]\frac{4-6}{-1-5}[/tex] = [tex]\frac{-2}{-6}[/tex] = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, 4 ) , then

4 = - [tex]\frac{1}{3}[/tex] + c ⇒ c = [tex]\frac{12}{3}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of line

-----------------------------------------------------------------------

The equation of a line in point- slope form is

y - b = m(x - a)

m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (- 2, 0 ) , then

y - 0 = 3(x - (- 2) ) , that is

y = 3(x + 2)

y = 3x + 6 ← equation of line

Answer:

Step-by-step explanation:

10.

a. y=30x + 50

b. 30(2.5)+50= 125

c. y= 60x+100

d. 60(2.5)+100= 250

Answer:

10)

a) y = 50+30x

b) y=50+30(2.5)

       50+75 = 125

c) y = 2(50+30x)

d) y=2(50+30(2.5))

       2(50+75)

       2(125) = 250

13)

a) P = 2 ( L + W )

        10x+2

b) A = W L

        5x+1

c) for A its 15x+3 and for B its 54 x 2 + 18 x

Answer:

i=13

Step-by-step explanation:

Answer:

1/2 pi

Step-by-step explanation:

This is 1/4 of a circle

Find the  circumference and multiply by 1/4

1/4 C

1/4 ( 2*pi*r)  where r is the radius

The radius is 1

1/2 pi*1

1/2 pi

Answer:

Step-by-step explanation:

A full circle has a circumference of 2*pi * r

r = 1

so Full Circle = 2 * PI

1/4 Circle = 2*pi / 4 = 1/2 pi

The length of the arc length = 1/2 pi

Just in case you prefer the more numerical answer, 1/2 * 3.14 = 1.57

Answer:

infinite solutions

Step-by-step explanation:

−4y + 4y + 2 = 2

Combine like terms

2=2

This is always true so there are infinite solutions

x = -29/7

Step-by-step explanation:

A(x) = (x^2 + 5x + 6)(x + 5) - (x^2 + 3x - 4)(x + 7)

= (x^3 + 10x^2 + 31x + 30) - (x^3 + 10x^2 + 17x - 28) = 14x + 58

A(x) = 0 => 14x + 58 =0 => x = -58/14 = -29/7

Answer:

778744

Step-by-step explanation:

387t98878989890

[tex] - 0.7[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} ( - 1.4m + 0.4) [/tex]

[tex] = - 0.7m + 0.2[/tex]

Answer:x=50

Step-by-step explanation:

28 hectares=28 0000 m2

1000

2500

50

the area ratio is the square of the scale drawn ratio

Answer:

Option A is correct

Step-by-step explanation:

6 feet 2 inches = 74 inches

74 inches = [tex]6 \frac{1}{6} [/tex]feet.

Answer:

184 ft^2

Step-by-step explanation:

in the picture

Answer:

[tex]\displaystyle x = \frac{4y - 8}{-5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle -5x - 4y = -8[/tex]

Step 2: Solve for x

Answer:

4y-8/ -5

Step-by-step explanation:

Answer:

6 pi

Step-by-step explanation:

The arc length is 1/2 of the circumference

C = pi * d

So the arc length is 1/2 C

arc length= 1/2 ( pi *d)

                = 1/2 pi(12)

                = 6 pi

It can be up to 20 feet taller so add 20

To the width:

88 2/3 + 20 = 108 2/3

Divide total height by the height of one story:

108 2/3 / 15 = 7.24

The building can have 7 stories.

b. 7 x 15 = 105 total feet

108 2/3 -105 = 3 2/3 feet below the restrictions

Answer:

see below

Step-by-step explanation:

2x − (3 − x) > x + 1

Distribute the minus sign

2x-3+x > x+1

Combine like terms

3x-3 >x+1

Subtract x from each side

3x-3-x>x+1-x

2x-3 >1

Add 3 to each side

2x-3+3>1+3

2x>4

Divide by 2

2x/2 >4/2

x>2

Open circle at 2 , line going to the right

Answer:7

Step-by-step explanation:

Answer:

x = 1.4 or -1.4

Step-by-step explanation:

→ Substitute y = 4 into y = x² + 2

4 = x² + 2

→ Minus 2 from both sides

2 = x²

→ Square root both sides

√2 = x

→ Simplify

x = 1.4 or -1.4

Answer:

1/36

Step-by-step explanation:

to get a sum of 2 you must roll a 1 both times. The probability of this is (1/6)*(1/6)=1/36

Answer:

1/36

Step-by-step explanation:

There are 36 total possibility, and 2 is one of them