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4 years ago

5d − 4d = 18

Mathematics

2 answers:

Vinil7 [7]4 years ago

7 0

d= 18

5 times 18 = 90

4 times 18 = 72

90-72 = 18

Vikentia [17]4 years ago

3 0

I say away ansnahshgdnslalsmsdbbddbjs

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2 years ago

is picking out some movies to rent, primarily interested in horror films and comedies. He has narrowed down his selections to 15

tigry1 [53]

Answer: 31,365

Step-by-step explanation:

Given : The number of horror films = 15

The number of comedies = 18

Then , the number of different combinations of 4 movies can he rent if he wants at least two comedies is given by :-

$^{18}C_2\times ^{15}C_2+^{18}C_3\times ^{15}C_1+^{18}C_4\times ^{15}C_0\\\\=\dfrac{18!}{2!(18-2)!}\times\dfrac{15!}{2!(15-2)!}+\dfrac{18!}{3!(18-3)!}\times\dfrac{15!}{1!(15-1)!}+\dfrac{18!}{4!(18-4)!}\times\dfrac{15!}{0!(15-0)!}\\\\=16065+12240+3060=31365$

Hence, the number of different combinations of 4 movies can he rent if he wants at least two comedies = 31,365

7 0

3 years ago

what is the volume of a rectangular prism that has a length of 8.5 centimeters (cm), a width of 3.2 centimeters, and a height of

Yuki888 [10]

Answer:

The volume of the rectangular prism is $163.2cm^3$

Step-by-step explanation:

A rectangular prism is in the shape of cuboid which has three dimensions i.e Length, width and height.

Given: Length =8.5 cm width= 3.2 cm and Height= 6 cm

The volume of a Cuboid = $Length*Width*Height$

Applying the given dimensions in the formula:

The volume of a Cuboid= $8.5cm*3.2cm*6cm$

= $163.2cm^3$

The volume of the rectangular prism is $163.2cm^3$

3 0

3 years ago

How many times does 5.4 go into 60 if it starts at -18?

photoshop1234 [79]

Answer:

14 $\frac{4}{9}$

Step-by-step explanation:

starting at -18 you must add 5.4 until you reach 60

-18 + 5.4 = -12.6 once (1)

-12.6 + 5.4 = -7.2 twice (2)

-7.2 + 5.4 = -1.8 thrice (3)

-1.8 + 5.4 = 3.6 fourth (4)

3.6 + 5.4 = 9 fifth (5)

9 + 5.4 = 14.4 sixth (6)

14.4 + 5.4 = 19.8 seventh (7)

19.8 + 5.4 = 25.2 eighth (8)

25.2 + 5.4 = 30.6 ninth (9)

30.6 + 5.4 = 36 tenth (10)

36 + 5.4 = 41.4 eleventh (11)

41.4 + 5.4 = 46.8 twelth (12)

46.8 + 5.4 = 52.2 thirteenth (13)

52.2 + 5.4 = 57.6 fourteenth (14)

since 57.6 + 5.4 is over 60, we need to find the difference in how much we need

57.6 - 60 = -2.4

we need 2.4 so subtract by 5.4

5.4 - 2.4 = 3

therefore we should divide

$\frac{2.4}{5.4}$ = 14.444...

which means it goes into 60 (starting at -18) 14.444... repeating times

another way to find the answer is

add 18 + 60

18 + 60 = 78

78/5.4 = 14.444... repeating or 14 $\frac{4}{9}$

hope this helps:)

6 0

2 years ago