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scoundrel [369]
3 years ago
5

Worksheet a2 : fundamental counting principle, factorials, permutations intro 1. a restaurant offers four sizes of pizza, two ty

pes of crust, and eight toppings. how many possible combinations of pizza with one topping are there?
Mathematics
2 answers:
valentina_108 [34]3 years ago
7 0

Answer:


Step-by-step explanation:

64



Brums [2.3K]3 years ago
3 0
There are 64 options available.

To find this answer, we just have to multiply all of the possibilities for each choice. This is the fundamental counting principle.

The are 4 sizes, 2 crusts and 8 toppings.

4 x 2 x 8 = 64
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Find two numbers that multiply to 17 and add to 18
Orlov [11]

Answer:

The numbers are 1 and 17

Step-by-step explanation:

The only factors of 17 are 1 and 17 since 17 is a prime number

1*17 =17

1+17 =18

6 0
3 years ago
ZARA'S DAD IS 6 TIMES OLDER THAN ZARA. THE PRODUCT THEIR AGE IS 150 YEARS. CALCULATE THEIR RESPECTIVE AGES
Masteriza [31]

Answer:

Zara = 5
Her Dad = 30

Step-by-step explanation:

Lets say Zara's age is "z"
So, her dad's age must be 6 x z = 6z
As its given that there product is 150 so we can also write it as :

z x 6z = 150
6z to the power 2 = 150
z to the power 2 = 150 divided by 6
                            = 25
So, z = 5
So Zara's age is 5 so her dad's age must be 30

3 0
1 year ago
*25 points!*
mariarad [96]
Pick 2 pairs of equations t<span>hen use addition and subtraction to eliminate </span>the same variable<span> from both pairs of equations then it is left with 2 variables 
</span>Pick two pairs
<span><span>4x - 3y + z = - 10</span><span>2x + y + 3z = 0
</span></span>eliminate the same variable from each system
<span><span>4x - 3y + z = - 10</span> 
<span>2x + y + 3z = 0</span> 

<span>4x - 3y + z = - 10</span> 
<span>-4x - 2y - 6z = 0</span> 

<span>-5y - 5z = - 10</span> 

<span>2x + y + 3z = 0</span> 
<span>- x + 2y - 5z = 17</span> 

<span>2x + y + 3z = 0</span> 
<span>-2x + 4y - 10z = 34</span> 

<span>5y - 7z = 34
</span></span>Solve the system of the two new equations:
<span><span>-5y - 5z = - 10</span> 
<span>5y - 7z = 34</span> 

<span>-12z = 24</span> 
which is , <span>z = - 2</span> 

<span>-5y - 5(- 2) = - 10</span> 
<span>-5y = - 20</span> 
wich is , <span>y = 4
</span></span>substitute into one of the original equations
<span>- x + 2y - 5z = 17</span> 
<span>- x + 2(4) - 5(- 2) = 17</span> 
<span>- x + 18 = 17</span> 
<span>- x = - 1</span> 
<span>x = 1</span> 
<span>which is , </span><span>(x, y, z) = (1, 4, - 2)</span><span> 
</span>Does 2(1) + 4 + 3(- 2) = 0<span> ? Yes</span><span>

</span>
7 0
3 years ago
Find the value of x and the measure of the missing angle labeled A:
Nostrana [21]

Answer:

x = -2

∠A = 35

Step-by-step explanation:

x + 37 + x + 57 = 90

reduce:

2x = -4

x = -2

∠A = 37-2 = 35

8 0
2 years ago
Steve borrowed $2000 at 8% annual interest for 6 months. How much interest did he pay? Steve paid ? in interest.​
Novosadov [1.4K]

Answer:

I = (2,000) (0.08) (6)

I = (160) (6)

Steve pays $960 in interest

Step-by-step explanation:

I completed the quiz :)

4 0
2 years ago
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