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lys-0071 [83]
3 years ago
9

Jane must select three different items for each dinner she will serve. The items are to be chosen from among five different vege

tarian and four different meat selections. If at least one of the selections must be vegetarian, how many different dinners could Jane create?
A. 30
B. 40
C. 60
D. 70
E. 80
Mathematics
1 answer:
timama [110]3 years ago
5 0

Answer:

Therefore, Jane can create 80 different dinners.

Step-by-step explanation:

We know that Jane must select three different items for each dinner she will serve. If at least one of the selections must be vegetarian.

The items are to be chosen from among five different vegetarian and four different meat selections.

First we count the number of combinations for one vegetarian dinner and 2 meat dinners.

C_1^5\cdot C_2^4=5\cdot \frac{4!}{2!(4-2)!}=5\cdot 6=30

Now we count the number of combinations for 2 vegetarian dinner and 1 meat dinners.

C_2^5\cdot C_1^4=10\cdot 4=40\\

Now we count the number of combinations for 3 vegetarian dinner.

C_3^5=\frac{5!}{3!(5-3)!}=10\\

We get 30+40+10=80.

Therefore, Jane can create 80 different dinners.

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Answer:

(8 (-1))

Step-by-step explanation:

Simplify the following:

8 (7 + 4×2 - 4 (11 - 7))

11 - 7 = 4:

8 (7 + 4×2 - 44)

4×2 = 8:

8 (7 + 8 - 4×4)

-4×4 = -16:

8 (7 + 8 + -16)

7 + 8 = 15:

8 (15 - 16)

15 - 16 = -(16 - 15):

8 (-(16 - 15))

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| 0 | 1:

8 (-1)

8 (-1) = (8 (-1)):

Answer: (8 (-1))

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3 years ago
A shipping box is shaped like a rectangular prism. The box is 1 1/5 feet wide, 3 feet long, and 4 1/2 feet tall. What is the vol
Goshia [24]

Answer:

4.95

Step-by-step explanation:

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2 years ago
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of the large box and a small box is 70
andre [41]

Answer:

3.45

Step-by-step explanation:

you have to do tihis then that

3 0
2 years ago
Two roller coasters are vying for the title of the steepest drop the first ride has a hill that drops 140 feet in a 40 foot run
muminat

Answer:

They have the same slope

Step-by-step explanation:

Given

Coaster 1:

Drops = 140ft

Run = 40ft

Coaster 2:

Drops = 105ft

Run = 30ft

First, we calculate the slope (m) of both coasters

m = \frac{Rise}{Run}

m = \frac{Drops}{Run}

For coaster 1:

m = \frac{140ft}{40ft}

m = \frac{140}{40}

m = 3.5

For coaster 1:

m = \frac{105ft}{30ft}

m = \frac{105}{30}

m = 3.5

<em></em>m = m=>3.5 = 3.5<em></em>

<em>By comparison, they have the same slope</em>

8 0
3 years ago
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Gelneren [198K]

<em>Answer:</em>

The inequality that is true is -5 - 3x > 10.

<em>Step-by-step explanation:</em>

if x = -6

we can subtitution x to every inequality, so :

-5 - 3x > 10

-5 - 3(-6) > 10

-5 - (-18) > 10

-5 + 18 > 10

13 > 10 [true]

-3 - 5x < -14

-3 - 5(-6) < -14

-3 - (-30) < -14

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27 < -14 [false]

2 - x < -3

2 - (-6) < -3

2 + 6 < -3

8 < -3 [false]

So if x=-6, inequality true is -5 - 3x > 10.

<em>If this was helpful, please mark brainliest. Have a beautiful day. </em>

4 0
3 years ago
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