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kherson [118]
3 years ago
15

Damian reads 21 pages in 1 hour. How many pages can he read in 3 hours?

Mathematics
2 answers:
irinina [24]3 years ago
3 0
If he can read 21 pages in 1 hour he can read 63 in 3 hours
Stolb23 [73]3 years ago
3 0

Answer:

If Damian reads an average of 21 pages an hour, he should be able to read 63 pages in 3 hours.

Step-by-step explanation:

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Three boys and six girls are being seated in a row of nine chairs on a stage which are numbered from left to right. How many sea
OLga [1]

Answer:

A. 362,880

B. 4,320

C. 14,400

D. 21,600

Step-by-step explanation:

A.

If there are no restrictions as to how they are seated, then we have permutations of 9 elements and there are 9! (factorial of 9) = 362,880 different seating arrangements.

B.  

If the boys sit in the middle three seats, they can sit in 3!=6 different ways, the girls can sit then in 6!=720 different ways. By the fundamental rule of counting, there are 6*720 = 4,320 different seating arrangements.

C.

We now have arrangements of the type

g, g, x, x, x, x, x, x, g  

The three girls at the ends can be chosen in C(6;3) (combinations of 6 taken 3 at a time) =  

\large \frac{6!}{3!(6-3)!}=\frac{6!}{3!3!}=20

different ways. The 6 in the middle can be sit in 6!=720 different ways.

By the fundamental rule of counting, there are 20*720 = 14,400 different seating arrangements.

D.

Now we have arrangements

g,b,g,b,x,x,x,x,x

For the 1st position we have 6 possibilities, for the 2nd we have 3 possibilities, for the 3rd we have 5 possibilities and for the 4th we have 2 possibilities. For the last 5 we have 5!=120 possibilities.

By the fundamental rule of counting, there are 6*3*5*2*120 = 21,600 different seating arrangements.

3 0
3 years ago
eight friends share 64 tickets to the carnival. each friend has the same number of tickets. how many tickets does each friend ha
jeka94

Answer:

8 Tickets

Step-by-step explanation:

64/8 = 8 tickets

---------------------------

check work:

8*8 = 64

3 0
3 years ago
Amelie is shopping for children's books and puzzle books. She wants to purchase at least 2 more children's books than puzzle boo
oksano4ka [1.4K]
X = 9
y = 6

Step by step:

Divide 15 by 2: 15 ÷ 2 = 7.5
Subtract 0.5 from 7.5 (this will later be added back): 7.5 - 0.5 = 7
Subtract 1 from 7 (she wants to buy at least 2 more children books): 7 - 1 = 6
Subtract 6 from 15 (6 being the number of puzzle books, 15 being the total number of items): 15 - 6 = 9 (number of children books)
6 0
3 years ago
You purchase 26 “parking hours” that you can use over the next month to park your food truck at the fair. Weekday hours costs $2
Oksanka [162]

Answer: 5

Step-by-step explanation:

weekday hours x*2

weekend hours y*10

x+y=26

2x+10y=220

----------------------

x=26-y

2(26-y)+10y=220

52-2y+10y=220

8y=220-52

8y=168

y=168/8

y=21

x=26-21=5

x=5

6 0
3 years ago
BRAINLIEST!!!!<br><br><br> Identify the equation of the translated graph in general form
RUDIKE [14]

Answer:

Hyperbola:

x^2-y^2-8x+6y-1=0

Step-by-step explanation:

the given hyperbola has equation:

x^2-y^2=8

This is an equation of a hyperbola centered at the origin.

This hyperbola is translated so its center is now at T(4,3)

(x-4)^2-(y-3)^2=8

We expand to get:

x^2-8x+16-(y^2-6y+9)=8

x^2-8x+16-y^2+6y-9=8

x^2-8x-y^2+6y+7=8

x^2-8x-y^2+6y+7-8=0

x^2-y^2-8x+6y-1=0

8 0
3 years ago
Read 2 more answers
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