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gizmo_the_mogwai [7]
3 years ago
7

A bathtub is the shape of a rectangular prism. The dimensions are 5 1/2 ft times 2 1/2 ft times 2 3/4 ft. What is the volume of

the bath tub? A. 10 1/2 ft3 B. 13 1/8 ft3 C. 14 7/16 ft3 D. 36 3/32 ft3
Mathematics
1 answer:
Sav [38]3 years ago
5 0

Answer:

37 \frac{13}{16}  ft^3

Step-by-step explanation:

A rectangular prism is also know as a cuboid.

The dimensions of the rectangular prism shaped bath tub are 5½ ft * 2½ ft * 2¾ ft.

The volume of a cuboid (rectangular prism) is given as:

V = L * B * H

Hence, the volume of the bath tub is:

V = 5½  * 2½ * 2¾

V = 11/2 * 5/2 * 11/4

V = 605 / 16 = 37 \frac{13}{16}  ft^3

The volume of the bath tub is 37 \frac{13}{16}  ft^3

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a florist makes 24 bouquets from 18 roses and 30 tulips. all of the bouquets will include both roses tulips. what do you notice
AlladinOne [14]

Answer: There isn't enough roses to include even just one rose in every bouquet. In addition, the number of tulips in each bouquet would be more than the amount of roses.

Step-by-step explanation:

You would have two flowers per bouquet,

18 + 30= 48

48 / 2= 24 bouquets.

5 0
3 years ago
A local drama production sold tickets for a play. Adult tickets sold for $10 each and child tickets sold for $5
Nezavi [6.7K]

Answer:

a) The total cost will therefore be :

$10x + $5y = $1750

(ii) The total number of people will therefore be written as:

x + y = 225

(b) Adult ticket = 125 , children = 100

Step-by-step explanation:

Let x represent the total number of adult and let y represent the total number of children.

The cost of ticket for 1 adult = $10 , therefore:

The cost ticket for x adults = $10x

The cost of ticket for a child = $5 , therefore :

the cost of ticket for y children = $5y

This means that

(a) The total cost will therefore be :

$10x + $5y = $1750

(ii) The total number of people will therefore be written as:

x + y = 225

(b) combining the two equations together , we will have

10x + 5y = 1750 ............................... equation 1

x + y = 225 ....................................... equation 2

solving the resulting linear equations by elimination method, from equation 2, make x the subject of formula, equation 2 then becomes

x = 225 - y ....................... equation 3

substitute x = 225 - y into equation 1 , equation 1 then becomes

10 ( 225 - y ) + 5y = 1750

expanding , we have

2250 - 10y + 5y = 1750

2250 - 5y = 1750

2250 - 1750 = 5y

500 = 5y

divide through by 5

y = 100

substitute y = 100 into equation 3 to find the value of x

x = 225 - 100

x = 125

Therefore : 125 adults ticket were sold and 100 children tickets were sold

(c) check : we will substitute the number of each tickets sold into the equation

10x + 5y = 1750

x = 125 , y = 100

10 ( 125 ) + 5 (100)

1250 + 500

= 1750

Also

x + y = 225

125 + 100 = 225

8 0
3 years ago
A sample of values has a mean of 500.0 and a standard deviation of 50.0. use the range rule of thumb to find estimates for the m
leonid [27]
<span>The Range Rule of Thumb says that the range is about four times the standard deviation. (i.e. two standard deviations to the left and two standard deviations to the right of the mean).

Given that the mean is 500 and the standard deviation is 50, then

The minimum and the maximum "usual" values are given by

500\pm2(50)=500\pm100 \\  \\ =(500-100,\ 500+100)=(400,\ 600)

Therefore, the minimun "usual" value is 400 while the maximum "usual" value is 600.
</span>
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3 years ago
Hanif says that 2 ( 4s) + 4(3r) is also equivalent to the perimeter of the figure. Is Hanif correct? Justify your answer by subs
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Answer:

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Step-by-step explanation:

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I don't understand!!
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Love what tines what will give u 54 firdt of all and all up the tickest for tickest toal is adding them all up
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