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Setler [38]
3 years ago
10

A restaurant has 4 appetizers, 5 entrees and 2 desserts. How many different meal combinations could you order?

Mathematics
1 answer:
vovangra [49]3 years ago
6 0

Step-by-step explanation:

1.) Firstly, you need to count out how many things there are. 4 app, 5 entrees, 2 desserts. This makes 11 different things

2.) for 11 numbers there can be 9 ways for each number for 1st nine places since 0 can't be the fist figure and next two are reciprocated from 10 numbers. Therefore 10!/2!

3.)So 99 combinations have 10!/2! Permutations hence total ways are 99*10!/2!

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a plane flies 480 miles with a 15 mph tailwind and then back 480 miles with a 15 mph headwind. if the plane completes the trip i
Minchanka [31]
Since we know the x and y, you would divide 480 by 15 and 32 miles per hour. Then you would multiply 7.2 by 32 and get 230.4. Your trying to find with wind and against wind so just times that by two and get 460.8. I think
8 0
3 years ago
Given the following geometric sequence, find the common ratio: {16, 64, 256, ...}.
Anettt [7]

Answer:

The common ratio is 4

Step-by-step explanation:

We need to divide a term by the previous term to find the common ratio in a geometric sequence:

64 ÷ 16 = 4

256 ÷ 64 = 4

By doing it twice we can confirm that the common ratio is 4

8 0
3 years ago
Read 2 more answers
Please help asap<br><br> solve x^4+5x^2+4=0
const2013 [10]

Answer:

x=\pm i\text{ or }x=\pm2i

Step-by-step explanation:

So we have the equation:

x^4+5x^2+4=0

Let's let u be equal to x². So:

u^2+5u+4=0

Factor:

(u+1)(u+4)=0

Zero Product Property:

u+1=0\text{ or } u+4=0

Subtract:

u=-1\text{ or }u=-4

Replace:

x^2=-1\text{ or }x^2=-4

Take square root:

x=\pm\sqrt{-1}\text{ or }x=\pm\sqrt{-4

Simplify:

x=\pm i\text{ or }x=\pm2i

7 0
3 years ago
Solve the system by substitution:<br> y = -3x + 10<br> y=-3x + 4<br> Please show the steps!
sergiy2304 [10]

Answer:

x=1, y=7

Step-by-step explanation:

y = -3x + 10 - first equation

y=-3x + 4 - second equation

rearrange the expression to

-3x-y= -10

3x-y= -4

pick an equation and simplify; lets pick the second equation

3x-y= -4

\frac{3x}{3} = \frac{-4+y}{3}  

divide 3 by both sides

x= \frac{-4+y}{3} - third equation

substitute the value of x into an equation; lets pick the first equation

-3x-y= -10

-3(\frac{-4+y}{3})- y = -10

simplify. -3 cancels 3 so we are left with

-1(-4+y)-y = -10

simplify

4-y-y= -10

4-2y= -10

subtract 4 from both sides

-2y= -10-4

-2y= -14

divide -2 by both sides

y=7

substitute the value of y, (y=7) in an equation, we are using the second equation

3x-y= -4

3x-7= -4

3x = -4+7

3x= 3

divide 3 by both sides

x=1

so the answer is x=1, y=7

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=4x%20-%20%20%7Bx%7D%5E%7B3%7D%20" id="TexFormula1" title="4x - {x}^{3} " alt="4x - {x}^{3} "
nydimaria [60]
X(2+x)(2-x) I think that’s correct
3 0
3 years ago
Read 2 more answers
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