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Bad White [126]
3 years ago
14

What is the value of x?

Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

Answer:

84

Explanation

180-130= 50

180-134=46

50+46=96

180-96=84

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Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzone
Bumek [7]

Answer:

26880 ways

<em></em>

Step-by-step explanation:

Given

Crust = 4

Toppings = 10

Cheese = 8

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in ^4C_1 ways

For the toppings:

3 can be selected from 10 in ^{10}C_3 ways

For the cheeses:

3 can be selected from 8 in ^{8}C_3 ways

Total number of selection is:

Total = ^4C_1 * ^{10}C_3 * ^{8}C_3

Apply combination formula:

Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}

Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}

Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}

Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}

Total = 4 * \frac{720}{6} * \frac{336}{6}

Total = 4 * 120* 56

Total = 26880

<em>Hence, there are 26880 ways</em>

5 0
3 years ago
Sasha has some pennies nickels and dimes in her pocket the number of coins is 18 the expression 0.01 p + 0.05 n + 0.10 D represe
MAXImum [283]
A) p + n + d = 18
B) .01p + .05n + .10d = 1.14
C) 2p = d

Substituting C) into A)
A) p + n + 2p = 18 equals
A) 3p + n = 18
Substituting C) into B)
B) .01p + .05n + .10 *2p = 1.14
B) .01p + .05n + .2p = 1.14
B) .21p + .05n = 1.14  
Taking equation A)
A) 3p + n = 18 and multiplying it by -.05
A) -.15p -.05n = -.90  Then adding this to B)
B) .21p + .05n = 1.14
.06p = .24
Therefore there are 4 pennies.
(I'll leave it to you to determine the nickels and dimes.)
**************************************************************************
Oh what the heck, I'll finish it for you.

Looking at equation C)
C) 2p = d
We know there are 4 pennies so there are:
2 *4  = eight dimes
Looking at Equation A)
A) p + n + d = 18 we can fill in the pennies and the dimes:
A) 4 + n + 8 = 18
Therefore, there are 6 nickels.


5 0
3 years ago
I need serious help please I beg you I will cry if not!!
vesna_86 [32]

Answer:

48.6666666667 or


Step-by-step explanation:__

    __(bar notation over 67)

48.67


3 0
3 years ago
Read 2 more answers
Consider the function f(x)=−2/3x+5 .
Arturiano [62]

Answer:

\frac{14}{3}

Step-by-step explanation:

To evaluate substitute x = \frac{1}{2} into f(x)

f(\frac{1}{2}) = - \frac{2}{3} × \frac{1}{2} + 5

                                  = - \frac{1}{3} + \frac{15}{3} = \frac{14}{3}


6 0
4 years ago
Plane H is shown.<br> Which points are coplanar and noncollinear?
Natalka [10]

Answer:

Points A, C, and D are coplanar, and Point B is noncollinear.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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