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KATRIN_1 [288]
2 years ago
6

Leon wants to pick out an outfit for the school dance. He can choose from 4 pairs of pants, 7 shirts, and 2 pairs of shoes. How

many different outfits does Leon have to choose from?
Mathematics
1 answer:
Nady [450]2 years ago
6 0

Answer:

Step-by-step explanation:

First he has to decide on a pair of pants and he has 4 different choices.

For each of those choices he has a choice of 7 different shirts, so that gives him 4 times 7 = 28 different pant/shirt combinations. (I hope none of the pants are striped and none of the shirts have polka-dots).

For each those 28 possibilities, he has 5 different ties he could select, so altogether he has 28 times 5 = 140 different outfits, and some of them may be acceptable to wear in public.

It is simply , 4*5*7=140 ways.

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Equation using the quadratic fromula for 0.05x^2 + 1.1x = 250
Anuta_ua [19.1K]

Answer:

x=60.56, x=-82.56

Step-by-step explanation:

Solve using quadratic formula

Formula is

x=\frac{-b+-\sqrt{b^2-4ac}}{2a}

0.05x^2 + 1.1x = 250

Subtract 250 on both sides

0.05x^2 + 1.1x - 250=0

a= 0.05, b=1.1 , c=-250

Plug in the values in the formula

x=\frac{-1.1+-\sqrt{(1.1)^2-4(0.05)(-250)}}{2(0.05)}

x=\frac{-1.1+-7.156116265}{0.1}

Now make two equations , one with +  and one with -

then we solve for x

x=\frac{-1.1+7.156116265}{0.1}

x=60.56

x=\frac{-1.1-7.156116265}{0.1}

x=-82.56


3 0
3 years ago
Help! I need some help...
AURORKA [14]
The complement is 38 
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8 0
3 years ago
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How do I write this fraction as a decimal 14 3/5
Softa [21]

we have

14 \frac{3}{5}

This is a mixed number

we know that

A mixed number is a combination of a whole number and a fraction.

So

14 \frac{3}{5} is equal to

14 +\frac{3}{5}

where

14 is the whole number

\frac{3}{5} is the fraction

\frac{3}{5}=0.60

14 +\frac{3}{5} =14+0.60\\ \\ =14.60

therefore

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14.60

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Evaluate log416 -2 1/2 2
krok68 [10]

16 = 4²

So, by the definition of logarithms

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5 0
3 years ago
A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each
Nadya [2.5K]

Answer:

312.5\pi \text{ km}^3\approx 981.75\text{ km}^3

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}, where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}

\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}

\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}

\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3

\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3

\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3

Therefore, the volume of earth removed to build the three tunnels is 312.5\pi \text{ km}^3\approx 981.75\text{ km}^3.


4 0
3 years ago
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