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olya-2409 [2.1K]
4 years ago
14

In how many ways can we seat 6 people around a round table if Fred and Gwen insist on sitting opposite each other? (Two seatings

are considered equivalent if one is a rotation of the other.)
Mathematics
1 answer:
vivado [14]4 years ago
8 0
I think 8  differnt ways
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What value of x satisfies the equation 7/3(x+9/28)=20
Svet_ta [14]
The value of x is 8.25
x+9/28 = 20*3/7
x=60/7 - 9/28
x = 33/4
x= 8.25
6 0
3 years ago
4. A mathematics test has a 4:2 ratio of data analysis problems to algebra problems. If the test has
pishuonlain [190]
The answer is B. 36.

the ratio is 4:2, the number 4 is twice as much as 2. so if there's 18 algebra problems (representing the 2 in the ratio), then there would be twice as many data analysis problems. 18 times 2 equals 36. :) hope it helps!
3 0
3 years ago
Please help solve! 20 pts up for grabs
maw [93]

Answer:

V = 140 pi ft^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 Bh  where B is the area of the base

V = 1/3 (35 pi) * 12

V = 4*35 pi

V = 140 pi ft^3

We cannot approximate pi if we want the exact answer

5 0
4 years ago
Ayden collects football, baseball, and Pokémon cards. He has four times as many baseball cards as football cards. His Pokémon ca
miv72 [106K]

Answer: Ayden has 11 football cards,44 baseball cards and 51 Pokemon cards which totals  106 cards all together

Step-by-step explanation:

STEP 1 :

Let x represent number of football cards

He has four times as many baseball cards as football cards, let baseball cards be = 4x

Pokémon cards contain 7 more cards than his baseball collection,let Poke mon cards = 4x +7

Step 2 :

Putting in equation we have that

Football cards + Baseball cards + Pokemon cards = 106 cards

Therefore,

x + 4x + 4x+7 = 106

9x + 7 = 106

9x = 106-7

9x = 99

x =99/9 = 11

therefore football cards , x = 11 football cards

 baseball cards = 4x = 4 x 11 = 44 baseball cards

Pokemon cards = 4x+7= 4x11 +7 = 44 +7 =51 Pokemon cards

5 0
4 years ago
The variable W represents the number of weeks the office has been on the new recycling plan and the variable P represents the to
chubhunter [2.5K]

Answer:

It will take \frac{45W}{P} weeks to recycle a total of 45 kg of paper

Step-by-step explanation:

W represents the number of weeks the office has been on the new recycling plan

P represents the total kilograms of paper recycled.

It took weeks to recycle P kilograms of paper = W

It took weeks to recycle 1 kilogram of paper =\frac{W}{P}

It took weeks to recycle 45 kilograms of paper =\frac{W}{P} \times 45

Hence It will take \frac{45W}{P} weeks to recycle a total of 45 kg of paper

5 0
3 years ago
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