16. Hamster Heaven charges an annual fee of $20 plus $2.50 for each day of hamster
activities you attend. Hamster Fun World charges an annual fee of $35 plus $1 for each day
of hamster activities you attend. Write and solve a linear system using a method of your
choosing and explain which company you would use for your hamster and why. A graph is
included below if you would like to graph it. Make sure you identify your variables, check
your solution and write a sentence.

Answer:

m = 6.557

Step-by-step explanation:

Subtract 10 from both sides:

4m^2 = 172

Divide both sides by 4:

m^2 = 43

take the square root of both sides:

[tex]\sqrt m^2 = \sqrt{43[/tex]

m = 6.557

Does that make sense?

Answer:

C. 31 [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

1. Convert mixed numbers into improper fractions:

[tex]\frac{29}{4}[/tex] · 2² + ( [tex]\frac{17}{2}[/tex] - 2) ÷ 3

2. Calculate within the parenthesis:

[tex]\frac{29}{4}[/tex] · 2² + [tex]\frac{13}{2}[/tex] ÷ 3

3. Calculate the exponent:

[tex]\frac{29}{4}[/tex] · 4 + [tex]\frac{13}{2}[/tex] ÷ 3

4. Multiply and divide (left to right):

29 + [tex]\frac{13}{2}[/tex] ÷ 3

29 + [tex]\frac{13}{6}[/tex]

5. Add:

[tex]\frac{187}{6}[/tex]

6. Convert the improper fraction to a mixed number:

= 31 [tex]\frac{1}{6}[/tex]

hope this helps!

Answer:

[tex] \frac{13x}{7 } + \frac{6}{7} = 0[/tex]

The trapezium is an isosceles trapezium. Then the measure of all angles will be 54°, 36°, 36°, and 54°.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

In the adjoining figure, ABCD is an isosceles trapezium in which angle ∠BCD = 2x and angle ∠ABC = 3x.

Then all the angles of the trapezium will be

Agngle ∠BCD = ∠ADC and angle ∠ABC = ∠BAD because the trapezium is an isosceles trapezium. Then we have

Then the value of x will be

∠ABC + ∠BCD + ∠CDA + ∠DAB = 180°

                        3x + 2x + 2x + 3x = 180°

                                              10x = 180°

                                                  x = 18°

Then the measure of all angles will be

∠ABC = ∠BAD = 3x = 3 × 18 = 54°

∠BCD = ∠ADC = 2x = 2 × 18 = 36°

More about the trapezium link is given below.

https://brainly.com/question/22607187

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Answer:

O C. 5.76 in2

Step-by-step explanation:

To find the area of a square, the formula is

length x width = area

length = 2.4

width = 2.4

2.4in x 2.4in = 5.76 in2

in2 is the part of the answer since  in x in = in2

Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.

Triangles is a 3-D shape with 3 sides and angles.  The types of triangle that we have include;

Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.

Learn more on triangle classification here: https://brainly.com/question/21535569

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Using the Pythagorean theorem:

c = sqrt(8^2 + 7^2)

c = sqrt(64 + 49)

c = sqrt(113)

c = 10.6

Step-by-step explanation:

x - 25 = 75

=> x = 75 + 25

=> x = 100

x + 19 = 50

=> x = 50 - 19

=> x = 31

Answer:

Look at the photo and goodluck

If the data values are as shown in the picture I have attached, then the following should help.

Answer: 226.56  m²

Step-by-step explanation:

  We need to find the area of three rectangles and two triangles.

    The triangles: 34.56 m²

A = [tex]\frac{B*H}{2}[/tex]

-> Since they are both congruent, we will skip dividing by two

A = B * H

A = 7.2 * 4.8

A = 34.56 m²

   The rectangles: 192 m²

A = L * W

-> We have two that are congruent, and one that is not

A = 10 * 6 * (2, since there are two)

A = 120 m²

-

A = L * W

A = 7.2 * 10

A = 72 m²

-

72 m² + 120 m² = 192 m²

   Total surface area:

34.56 m² + 192 m² = 226.56  m²

Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).

This is the total distance of all the sides in a shape. Due to this, the general formula is:

8+10+10= 28 feet.

Note: This question is incomplete because the graph is missing; here is the graph:

Learn more about perimeter in: https://brainly.com/question/6465134

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Answer:

f(-1)=-1

Step-by-step explanation:

substitute -1 for x:

f(-1)=1-(-1)^2+(-1)^3

then solve,

f(-1)=1-1-1

f(-1)=-1

Answer:

should be 6cm

Step-by-step explanation:

if you are looking at a cube

Answer:

6 cm 2

Step-by-step explanation:

Surface area of a cube then 1 x 1 x 1 x 6 (6 faces )

Answer:

140 in²

Answer as a decimal rounded to the nearest hundredth = 140.00 in²

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Given:

Substituting the given values into the formula:

⇒ Area = 1/2 × 20 × 14

             = 140 in²

Answer as a decimal rounded to the nearest hundredth = 140.00 in²

Answer:

140 square inches

Step-by-step explanation:

Formula to find the area of a triangle is A = 1/2 × b × h.

So plug in the numbers

A= 1/2 x 20 x 14

A= 20 x 14 / 2

A = 280/ 2

A(Area) is equal to 140 square inches

Answer:

The answer is D

Step-by-step explanation:

If you use. MAD then all you have to do is multiply add then divide so the 1/4 +1/16 +. 1/64 + 1/256 = 1/3 so round it and. its 1/3 (1/4)

Answer: choice d

Step-by-step explanation: i asked my mom :/

Answer:

6

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

84 = mean + 3sd

60 = mean - sd

sd = mean - 60

84 = mean + 3(mean - 60)

84 = mean + 3mean - 180

264 = 4mean

mean = 66

Answer:

4/6 = 6/9

Step-by-step explanation:

Because 4/6 = 2/3 and 6/9 = 2/3

Answer:

4/6 = 6/9

Step-by-step explanation:

Answer:

10.

Step-by-step explanation:

As the 2 Figures are similar the correspond sides are in the same ratio.

We see that BC = 5.0 and FG = 2.5, so each side in EFGH is 1/2 of its correspond side in ABCD.

Perimeter of EFGH , therefore, is

2.5 + 2 + 4 + 1.5

= 10.

Answer: 6.96 in^2

Step-by-step explanation:

Trapezoid Area

A = [tex]\frac{a+b}{2} h[/tex]

= [tex]\frac{1.5 + 3.3}{2} * 2.9[/tex]

= [tex]\frac{4.8}{2} * 2.9[/tex]

= 2.4 * 2.9

= 6.96

Answer:

30.6716 feet

hope it helps you

Answer:

x = 2, y = 3

Step-by-step explanation:

5x – 4y = -2

2x + 4y = 16

Solve by elimination. (-4y and +4y gives 0)

7x = 14

x = 2

Substitute 2 in one of the equations in order to find y.

5(2) - 4y = -2

10 - 4y = -2

-4y = -12

y = 3

x = 2, y = 3

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 2, x = 3

Step-by-step explanation:

[tex]\mathrm{Given:}\begin{bmatrix}5x-4y=-2\\ 2x+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Step\;by\;step\;solving}:[/tex]

[tex]\mathrm{Isolate\;x\;for\;5x-4y=-2:\;x=\frac{-2+4y}{5}}[/tex]

[tex]\mathrm{Then\;substitute\:}x=\frac{-2+4y}{5}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-2+4y}{5}+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Simplifying}: \begin{bmatrix}\frac{-4+28y}{5}=16\end{bmatrix}[/tex]

[tex]\mathrm{Next\;Isolate\;y\;for\;\frac{-4+28y}{5}=16}:y=3[/tex]

[tex]\mathrm{Since,\:}x=\frac{-2+4y}{5}[/tex][tex]\mathrm{and\;y\;=\;3}[/tex]

[tex]\mathrm{Then, substitute\:}y=3[/tex]

[tex]\mathrm{So,x=\frac{-2+4\cdot \:3}{5}}[/tex]

[tex]\mathrm{Solving:\;x=2}[/tex]

[tex]\mathrm{Hence,the\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,x=3[/tex]

~Kavinsky~

Answer:

622.13 square units

Step-by-step explanation:

Area of the composite figure = area of parallelogram + area of circle

Note: 2 semicircles = 1 full circle

Area of the figure = a*h + πr²

Where,

a = 22

h = 11

r = ½ of 20 = 10

Plug in the value into the equation

Area = 22*11 + π*11²

Area = 242 + π*121

Area = 622.13271108 ≈ 622.13 square units (nearest tenth)

Answer:

Step-by-step explanation:

556.2

Answer:

x = 88 degrees

Step-by-step explanation:

Its really easy. All you have to do is subtract all the known angles from 360 since a quadrilateral has 360 degrees

360 - 106 - 114 - 52 = 88

Hope this helped!

Answer:

x = 88°

Step-by-step explanation:

                                        x + 52 + 114 + 106     = 360°

                                                        x   + 272     = 360

                                                                       x = 360 - 272

                                                                      [tex]\sf \boxed{x= 88^ \circ}[/tex]

Answer:

8 kilometers in one hour

Step-by-step explanation:

4:30/4

30 [tex]divided[/tex] by 4

7.5

4 divided by 4

1

7.5 minutes to 1 kilometer

since there are 60 minutes in a hour

60/7.5 = 8

8 x 1 = 8

Answer:

if it is the area your talking about, but if it is the perimeter its 54

Step-by-step explanation:

Answer:

-x +x^ + 1

Step-by-step explanation:

s(x) - r(x) = 2x + 1 - ( - x^ + 3 x )

2x + 1 + x^ - 3 x

2x - 3x + x^ + 1

-x + x^ + 1