which rule describes a linear relation?​

The correct option is D, the value of the missing side x is 5.

If the two prism are similar, then there is a scale factor that when multiplied by the dimensions of the blue prism, we get the dimensions of the green one.

If that scale is k, then we can write:

3k = 15

Solving for k:

k = 15/3

k = 5

Now, the correspondent side to the one that measures x, has a measure of 1 unit (in the blue prism), then the value of x is:

1*k = x

1*5 = x

5 = x

The correct option is D.

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Answer:

Step-by-step explanation:

The area of a shape is the amount of space it can occupy, while the perimeter is the sum of its sides.

Given that:

[tex]P = 39[/tex] --- the perimeter of the shape

The value of x

The perimeter is the sum of all sides.

So, we have:

[tex]P = x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5)[/tex]

Substitute 39 for P

[tex]x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5) = 39[/tex]

[tex]2x + 24 = 39[/tex]

Collect like terms

[tex]2x = -24 + 39[/tex]

[tex]2x = 15[/tex]

Divide through by 2

[tex]x = 7.5[/tex]

The area of the shape

The shape can be divided into two rectangles

So, the area of the shape is:

[tex]Area = 9ft \times 3ft + (9 - 3.5 - 3.5)ft \times x ft[/tex]

[tex]Area = 27ft^2 + 2ft \times x ft[/tex]

Substitute [tex]x = 7.5[/tex]

[tex]Area = 27ft^2 + 2ft \times 15 ft[/tex]

[tex]Area = 27ft^2 + 30 ft^2[/tex]

[tex]Area = 57 ft^2[/tex]

Hence, the area of the shape is 57 square feet.

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Answer:

[tex]\%Percent = 30 \%[/tex]

Step-by-step explanation:

Given

[tex]Shaded = 6\ cubes[/tex]

[tex]Box = 5\ x\ 4[/tex]

Required

Determine the percentage of the shaded cubes

First, we calculate the number of boxes:

[tex]Box = 5\ x\ 4[/tex]

Express as multiplication

[tex]Box = 5\ *\ 4[/tex]

[tex]Box = 20[/tex]

This implies that there are 20 cubes in the box.

The percentage of the shaded cubes is:

[tex]\%Percent = \frac{Shaded}{Box} * 100\%[/tex]

[tex]\%Percent = \frac{6}{20} * 100\%[/tex]

[tex]\%Percent = \frac{6* 100}{20} \%[/tex]

[tex]\%Percent = \frac{600}{20} \%[/tex]

[tex]\%Percent = 30 \%[/tex]

30% were shaded

Step-by-step explanation:

2 + 59 -(-9) = 2+ 59 +9 = 59 + 11 = 70

Answer:

-0.8375

Step-by-step explanation:

Hey there!

ORIGINAL EQUATION

x + x + x = 56

CONVERT/COMBINE the LIKE TERMS

1x + 1x + 1x = 56
2x + 1x = 56

NEW EQUATION

3x = 56

DIVIDE 3 to BOTH SIDES

3x/3 = 56/3

SIMPLIFY IT by canceling out 3/3 because it give you 1 & KEEP 56/3 because help solve for the x-value (it also give you the x-value result)

x = 56/3

x = 18.666667

x = 18 2/3

EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE ALL EQUIVALENT TO EACH OTHER

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

3,-2 (dark blue)

Step-by-step explanation:

plug the answer back into x:

(3-3)(-2+2)=0

(0)(0)=0

The solution satisfies the equation!

Answer:

its the first one i believe

Answer:

I believe it's, The difference between a number and five is negative two.

Step-by-step explanation:

Answer:The Miller family drove 379miles on Tuesday.

Step-by-step explanation:

Amount of miles driven in two days = 736  miles

Amount of miles driven on Monday = 357miles

 Therefore Amount of miles driven on Tuesday =Amount of miles driven in two days -mount of miles driven on Monday

= 736miles -357miles

=379miles

Answer:

Catalina´s example is linear

Answer:

Around 401 students would prefer chocolate milk.

Step-by-step explanation:

500/30=16.66667...

24*16.7=400.8

you cant have an eighth of a vote so you round to 401

Answer:

A.

x=1/2 or 0.50

Answer:

1. 52

2. 86

3. 55

Answer:

if its so easy, why cant you do it?

Step-by-step explanation:

but either way its

52

86

55

Answer:

36 texts

Step-by-step explanation:

Last week = 40 texts

This week = 40 -10%of 40

= 40-4

=36 texts

Hope this helps you.

Answer:

15

Step-by-step explanation:

step by step

Answer:

Step-by-step explanation:

Here, ABCD is a parallelogram.

∠CBD=40

o

 and ∠BAD=80

o

.

AD∥BC and BD is a transversal.

∴  ∠ADB=∠CBD            [ Alternate angles ]

∴  ∠ADB=40

o

.

∴  y=40

o

.

In △ADB,

⇒  ∠ADB+∠DBA+∠BAD=180

o

⇒  40

o

+x+80

o

=180

o

⇒  120

o

+x=180

o

⇒  x=180

o

−120

o

⇒  x=60

o

We get, x=60

o

 and y=40

o

.

Answer:

10. ∠ZD is an obtuse angle ∠KS is an obtuse angle

11. ∠LV is an obtuse angle ∠LM is a right angle ∠BF is an obtuse angle

Step-by-step explanation:

Answer:

I believe the answer is b as my friend dream said

Step-by-step explanation:

Answer:

5

out of

5

(

2

)

+

5

(

−

5

t

)

.

5

(

2

−

5

t

)

Step-by-step explanation:

Answer:

okay

Step-by-step explanation:

Answer:

The value of the car as a function of time after it was purchased is best modeled with an exponential function.

The Value of car when it is purchased =  $25,900

Step-by-step explanation:

As given,

The value at the end of the year was 17% less than its value at the beginning of the year.

⇒ value at the end of the year = (100% - 17% ) = 83% of value at the beginning of the year.

Now,

Let the Value of car when it is purchased = x

So,

Price at the end of 1 year = 83% of x = 0.83x

Price at the end of 2 year = 83% of 0.83 x = (0.83)² x

Price at the end of 2 year = 83% of (0.83)² x = (0.83)³ x

and so on

Price at the end of n years = (0.83)ⁿ x

∴ we get

The value of the car as a function of time after it was purchased is best modeled with an exponential function.

Now,

Value of car after 2 year = (0.83)² x = $17,842.51

⇒0.6889x = $17,842.51

⇒x = [tex]\frac{17,842.51}{0.6889}[/tex] = $25,900

∴ we get

The Value of car when it is purchased = x = $25,900

Answer:

3.5 meters times 100 is equal to 350 centimeters.

Step-by-step explanation:

Answer:

60 I think 3/5 converted to a decimal would be 0.6 right?

Step-by-step explanation:

Answer:

The coordinates of the point X:

Step-by-step explanation:

Let X be the point.

As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

[tex]\left(x_1,\:y_1\right)\:=\:\left(-2,-8\right)[/tex]

[tex]\left(x_2,\:y_2\right)=\left(5,-1\right)[/tex]

Rise = y₂ - y₁

       [tex]= -1 - (-8)[/tex]

       [tex]= -1 + 8[/tex]

       [tex]= 7[/tex]

Run = x₂ - x₁

      [tex]= 5 - (-2)[/tex]

      [tex]= 5 + 2[/tex]

      [tex]= 7[/tex]

1 : 6 ratio means the point X lies at

[tex]\frac{1}{6+1}=\frac{1}{7}=14\%[/tex]

Thus,

rise for X [tex]=\:7\:\times \:14\%=1[/tex]

run for X [tex]=\:7\:\times \:14\%=1[/tex]

Thus, coordinates of X will be:

[tex]x = -2 + 1 = -1[/tex]

[tex]y = -8 + 1 = -7[/tex]

Therefore, we conclude that:

The coordinates of the point X:

The point (-1, -7) divide the segment from (-2,-8) to (5,-1). in the ratio 1:6.

If a point O(x, y) divides the line segment AB in the ratio of n:m, where the endpoints of the line is A(x₁, y₁) and B(x₂. y₂), the point O is at:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]

Given the ratio 1:6, let O(x, y) divide the segment from (-2,-8) to (5,-1). Hence:

[tex]x=\frac{1}{1+6}(5-(-2))+(-2)=-1\\\\y=\frac{1}{1+6}(-1-(-8))+(-8)=-7[/tex]

O = (-1, -7)

The point (-1, -7) divide the segment from (-2,-8) to (5,-1) in the ratio 1:6.

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Answer:

18,000 grams of rice

Step-by-step explanation:

First multiply 3 x 6 to find out how many kilograms total the crew is carrying. Then convert the 18 kilograms into grams by multiplying by 1000.

Hope it helps!

Answer:

Its A :)

Step-by-step explanation:

Answer:

89/3

Stp/lanation: