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3 years ago

There are 16 colored pencils and 8 colored pencils will fit in a box. How many boxes will the 16 pencils fill?

Mathematics

1 answer:

Gekata [30.6K]3 years ago

4 0

Given:

Total number of colored pencils = 16

Colored pencils fit in a box = 8

To find:

The number of boxed that will fit the 16 pencils.

Solution:

According to the question 8 colored pencils will fit in a box. So, we have

8 pencils = 1 box

Multiply both sides by 2.

2×8 pencils = 2×1 box

16 pencils = 2 box

Therefore, 2 boxes are required to fit the 16 colored pencils.

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The circumference of a circle is 15 meters. Determine the diameter. Use 3 for pie.

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Answer:

4.77

if u use 3 for pie its 5

Step-by-step explanation:

formula is d=c/pie

so d=15/pie

d=4.77

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3 years ago

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Step-by-step explanation:

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3 years ago

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The line segment has an endpoint (5,-6) and the midpoint is (-2,3). Find the other point.

gavmur [86]

Answer:

(-9,12)

Step-by-step explanation:

$Endpoint\:= (5,-6) = x_1,y_1\\Midpoint = \: (-2,3)=x\:,y\\\\x = \frac{x_1+x_2}{2}\\\\ -2 = \frac{5+x_2}{2} \\-4 = 5+x_2\\-4-5=x_2\\-9 =x_2\\\\y = \frac{y_1+y_2}{2} \\\\3 = \frac{-6+y_2}{2} \\6 = -6+y_2\\6+(6)=y_2\\6+6=y_2\\12=y_2\\x_2 ,y_2=(-9,12)$

4 0

3 years ago

a regular hexagonal nut of side 1 cm and length 3 cm with a central hole of diameter 1 cm. 3 cm 1 cm 1 cm. Calculate the volume

Bogdan [553]

Answer:

5.44 cm³

Step-by-step explanation:

The volume of the hexagonal nut can be found by multiplying the area of the end face by the length of the nut. The end face area is the difference between the area of the hexagon and the area of the hole.

The area of a hexagon with side length s is given by ...

A = (3/2)√3·s²

For s=1 cm, the area is ...

A = (3/2)√3(1 cm)² = (3/2)√3 cm²

The area of a circle is given by ...

A = πr²

The radius of a circle with diameter 1 cm is 0.5 cm. Then the area of the hole is ...

A = π(0.5 cm)² = 0.25π cm²

The volume is the face area multiplied by the length, so is ...

V = Bh = ((3/2)√3 -0.25π)(3) . . . . . cm³

V = (9/2)√3 -0.75π cm³ ≈ 5.44 cm³

The volume of the metal is about 5.44 cm³.

5 0

3 years ago

Use 3.14 on all questions on this text that use pi.

alexira [117]

Answer:

$V_{cylinder}=3584\pi \thinspace yd^3$

Step-by-step explanation:

Volume of a cylinder is just the area of the circle-surface multiplied by the height of the cylinder.

$V_{cylinder}=\pi r^2 h$

We're given that the radius=8 and height=56

$V_{cylinder}=\pi r^2 h$

$V_{cylinder}=\pi (8)^2 (56)$

$V_{cylinder}=3584\pi \thinspace yd^3$

6 0

3 years ago