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Vika [28.1K]
3 years ago
9

They are offering a selection from 5 appetizers, 6 entrees, and 3 desserts. How many combinations of 1 of each are possible?

Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

90

Step-by-step explanation:

By Fundamental Counting Principle, there are 5*6*3 = 90 combinations possible.

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Solve the following system of equations algebraically:<br> 4x - 5y = 18<br> 3x – 2y = 10
fiasKO [112]

Answer:

D

Step-by-step explanation:

Given the 2 equations

4x - 5y = 18 → (1)

3x - 2y = 10 → (2)

Multiplying (1) by 3 and (2) by - 4, then adding will eliminate the x- term

12x - 15y = 54 → (3)

- 12x + 8y = - 40 → (4)

Add (3) and (4) term by term to eliminate x, that is

- 7y = 14 ( divide both sides by - 7 )

y = - 2

Substitute y = - 2 into either of the 2 equations and solve for x

Substituting into (1)

4x - 5(- 2) = 18

4x + 10 = 18 ( subtract 10 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

solution is (2, - 2 ) → D

8 0
3 years ago
-4/4 plus 160 percent plus 1/5
Reil [10]

Answer: 4/5

Step-by-step explanation:

7 0
2 years ago
A bakery has d dozen eggs in one refrigerator and 3 fewer dozen eggs in another refrigerator. Which expressions correctly show h
san4es73 [151]

Answer:  2 d - 3

Step-by-step explanation:

Here, the number of dozen eggs in one refrigerator = d

According to the question,

There are 3 fewer dozen eggs in another refrigerator.

⇒ The number of eggs in another refrigerator = d - 3

Thus, the total dozen of eggs in both refrigerator = the number of dozen eggs in first refrigerator + the number of dozen eggs in second refrigerator

= d + d - 3

= 2 d - 3

Which is the required expression.

3 0
3 years ago
Read 2 more answers
Jay is 4 years older than May. May is twice as old as Kay. How old is Jay if Kay is x years old ?
Lina20 [59]

Answer: Jay is 2x + 4 years old

Step-by-step explanation:

May's age = M

Jay's age = J

Kay's age = x

J = M + 4

M = 2x

substitution

J = 2x + 4

Hope it helps <3

6 0
3 years ago
What are the zeroes of f(x) = x2 − 6x + 8? (4 points) x = −4, 2 x = −4, −2 x = 4, 2 x = 4, −2
babymother [125]

Hey there! :)

Answer:

Third option. x = 2, and x = 4.

Step-by-step explanation:

Find the zeros of this quadratic equation by factoring:

f(x) = x² - 6x + 8

Becomes:

f(x) = (x - 4)(x - 2)

Set each factor equal to 0 to solve for the roots;

x - 4 = 0

x = 4

x - 2 = 0

x = 2

Therefore, the zeros of this equation are at x = 2, and x = 4.

8 0
3 years ago
Read 2 more answers
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