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CaHeK987 [17]
3 years ago
9

How to divide 48 by 5/8

Mathematics
1 answer:
snow_lady [41]3 years ago
4 0
Use the KCF method, or keep, change, flip.

1 ) Set up your expression: 48 / 5/8
2 ) Change the division symbol into multiplication : 48 x 5/8
3 ) Flip 5/8 : 48 x 8/5
4 ) Solve! If it helps,write 48 as 48/1. Just multiply as you would.

Answer: 384/5, or 76 4/5
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Serhud [2]

Answer:

- 50

Step-by-step explanation:

x = 3

f ( x ) = - 4x^2 - 3x - 5

f ( 3 )

= - 4 ( 3 )^2 - 3 ( 3 ) - 5

= - 4 ( 9 ) - 3 ( 3 ) - 5

= - 36 - 9 - 5

= - 50

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3 years ago
The side length of a cube is (x^2-1/2).<br> Determine the volume of the cube.
stellarik [79]

Answer:

Step-by-step explanation:

x^6 − (3x^4)/2 + (3x^2)/4 − 1/8

The volume of a cube is Length^3.

If a length is (x^2-1/2, then cube root it

It will then be (x^2-1/2) x (x^2-1/2) x (x^2-1/2).

FOIL each term and evaluvate

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tiny-mole [99]

Answer:

3/4

Step-by-step explanation:

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3 years ago
A pack of folders has a length of 5 inches, a width of 12 inches, and a height of 1 inch. The pack of folders will be shipped in
777dan777 [17]

Answer:

A) Each pack of folders has a volume of 60 cubic inches.

B) The box has a volume of about 720 cubic inches

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

<em><u>Verify each statement</u></em>

<em>A) Each pack of folders has a volume of 60 cubic inches.</em>

The statement is True

Because

The volume of each pack of folders is equal to

V=(5)(12)(1)=60\ in^{3}

<em>B) The box has a volume of about 720 cubic inches</em>

The statement is True

Because

The volume of the box is equal to the volume  of one pack of folders multiplied by 12

so

V=(12)60=720\ in^{3}

<em>C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches</em>

The statement is False

Because

Applying proportion

\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}

900\ in^{3}\neq 1,200\ in^{3}

<em>D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.</em>

The statement is True

Because

Applying proportion

\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}

1,200\ in^{3}= 1,200\ in^{3}

<em>E) Each pack of folders has a volume of 24 cubic inches.</em>

The statement is False

Because

The volume of each pack of folders is equal to

V=(5)(12)(1)=60\ in^{3}

7 0
4 years ago
A hockey puck with a mass of 0.18 kg is at rest on the horizontal frictionless surface of the rink. A player applies a horizonta
stepladder [879]

Answer:

1) The speed after 5 seconds is 13.\bar 8 m/s

2) The distance traveled after 5 seconds is 34.7\bar 2 meters

Step-by-step explanation:

1) The given parameters are;

The mass of the hockey puck, m = 0.18 kg

The horizontal force applied by the player, m = 0.5 N

The time at which the speed is calculated, t = 5 seconds after the force is applied

Therefore;

From the equation for the applied force, F = m × a. where a represents the acceleration, by substituting the known values get;

0.5 = 0.18 × a

∴ a = 0.5/0.18 = 50/18 = 25/9 = 2.\bar 7

a = 2.\bar 7 m/s²

The speed after 5 seconds is given from the kinematic equation, v = u + a·t

Where;

v = The final velocity

u = The initial velocity = 0 m/s

t = The time = 5 seconds

By substitution of the known values, we get;

v = 0 + 2.\bar 7 × 5 = 13.\bar 8

The speed after 5 seconds = 13.\bar 8 m/s

2) The distance traveled, s, after 5 seconds is given by the equation, s = u·t + 1/2·a·t²

From which we have;

s = 0 × 5 + 1/2 × 2.\bar 7 × 5² = 34.7\bar 2

The distance traveled after 5 seconds = 34.7\bar 2 meters

7 0
3 years ago
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