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Ronch [10]
2 years ago
15

Find the value of the combination. From a committee consisting of 8 men and 5 women, a subcommittee is formed consisting of 4 me

n and 3 women. How many different subcommittees are possible?
80

700

1,716
Mathematics
1 answer:
Alex787 [66]2 years ago
5 0

Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.

Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.

Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 . 

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5. A grocer wishes to mix two kinds of nuts costing
Alekssandra [29.7K]

Ans:

The solve for x:

2.41x+3.65(248-x)=622.48

2.41x+3.65×248-3.65x=622.48

2.41x-3.65x+905.2=622.48

-1.24x=622.48-905.2

-1.24x= -282.72

x= -282.72÷ -1.24

x=228

Pounds of nuts nper pound $2.41should be included:

228× $2.41

=549.48

Hope it Helps!

8 0
2 years ago
Libby sold $60 worth of vegetables at the farmer's market. Jess sold 3/4ths of what Libby sold. Stephanie sold 1/3rd of what Jes
Gemiola [76]

Answer:

$120.

Step-by-step explanation:

We have been given that Libby sold $60 worth of vegetables at the farmer's market.

Jess sold 3/4th of what Libby sold. Let us find 3/4 of 60.

\text{Jess sold}=60\times \frac{3}{4}

\text{Jess sold}=15\times 3

\text{Jess sold}=45

Therefore, Jess sold $45 worth of vegetables.

We are told that Stephanie sold 1/3rd of what Jess sold. So let us 1/3rd of 45.

\text{Stephanie sold}=45\times \frac{1}{3}

\text{Stephanie sold}=15

Therefore Stephanie sold $15 worth of vegetables.

Now let us add amounts of money earned by Libby, Jess and Stephanie to get the total money earned by all.

\text{The total money earned by Libby, Jess and Stephanie}=60+45+15

\text{The total money earned by Libby, Jess and Stephanie}=120

Therefore, they all sell $120 worth of vegetables together.

7 0
2 years ago
Read 2 more answers
What is the volume of this pyramid? 945 cm³ 1260 cm³ 1890 cm³ 2520 cm³ A pyramid with a right triangular base. The right triangu
notsponge [240]

Answer:

The volume of the pyramid is 1,260\ cm^{3}

Step-by-step explanation:

we know that

The volume of the triangular pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the triangular base

H is the height of the pyramid

step 1

Find the area of the base B

B=\frac{1}{2}bh

we have

b=14\ cm

h=18\ cm

substitute

B=\frac{1}{2}(14)(18)=126\ cm^{2}

step 2

Find the volume

we have

B=126\ cm^{2}

H=30\ cm

substitute

V=\frac{1}{3}BH

V=\frac{1}{3}(126)(30)=1,260\ cm^{3}

5 0
2 years ago
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Which number line model represents the expression 2.5+4.5
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Answer:

Yuhh the answers c dawhggg trus me i just did the same thing lawl!

Step-by-step explanation:

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2 years ago
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D is the best choice because y would be the total amount of money he would have to pay. X would be the amount of hours he uses the phone and the hourly fee is 23 so it would be 23x. the flat fee was 16 so you just add that on to the hourly fee. The whole equation should be y = 23x + 16
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