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MrRa [10]
2 years ago
14

Molly bought 12.5 yards of fabric for $4.50 a yard to make dog beds.she uses 2.5 yards of fabric for each dog bed. She sells eac

h dog bed for $17.50. After subtracting the cost of the fabric, how much money does Molly earn if she sells all of the dog beds?
Mathematics
2 answers:
Kay [80]2 years ago
6 0
First, you need to divide 12.5/2.5= 5. After that, you need to multiply 17.50x5=87.50. So your answer is $87.50.
Kruka [31]2 years ago
6 0
Your answer would be $87.5. Hope this helps!!!
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Work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed
lara [203]

Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

<u>Volume of a cylinder</u>

\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • h = 18cm
  • V = 1715 cm³

Use the Volume of a Cylinder formula and the given values to find the <u>radius of the cylinder</u>:

\implies \sf 1715=\pi r^2 (18)

\implies \sf r^2=\dfrac{1715}{18 \pi}

\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}

<u>Surface Area of a Cylinder</u>

\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}

Substitute the given value of h and the found value of r into the formula and solve for SA:

\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)

\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)

\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)

\implies \sf SA=813.3908956...

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

8 0
2 years ago
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How to solve for x and y
Minchanka [31]

<u>Answer-</u>

<em>The values of </em><em>x and y are 20° and 30</em><em>, respectively.</em>

<u>Solution-</u>

As in the given triangle all the angles are same so it must a equilateral triangle.

In an equilateral triangle all the measurements of the angles and side length are same. The measurement of the angels are 60°.

As given in the question one side length is 46, so all the side length are same.

So,

\Rightarrow y+16=46\\\\\Rightarrow y=46-16\\\\\Rightarrow y=30

We know that an exterior angle of a triangle is equal to the sum of the opposite interior angles. 80° is the exterior angle opposite to x and one angle of triangle at the top vertex.

\Rightarrow 80^{\circ}=x+60^{\circ}

\Rightarrow x=80^{\circ}-60^{\circ}

\Rightarrow x=20^{\circ}

Therefore, the values of x and y are 20° and 30, respectively.

4 0
3 years ago
If a sample size is less than​ ________, the sample size must come from a population having a normal distribution in order to fo
salantis [7]
My guess is 30 for the sample size.
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Use 3.14 for pi around to the nearest hundreth
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Answer:

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