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otez555 [7]
1 year ago
11

An entertainment company surveyed 360 people to findout their favorite type of movie. The results of thesurvey are shown below.F

avorite Movie CategoriesF20ComRomanceScienceFictionHome/How many more students chose Horror over Romance?
Mathematics
1 answer:
Ivan1 year ago
5 0

EXPLANATION

If the number of surveyed people is equal to 360, we can consider the percentage of stundets that choose the movie.

The relationship between the horror over the romance students is as follows:

\operatorname{Re}latipnship=\frac{Horror}{\text{Romance}}=\frac{25}{5}=2.5

There are 2.5 more students that choose the horror movie.

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Find the solution of this system of equations 5x - 6y =-90 -10x - 6y =-90
ExtremeBDS [4]

5x - 6y = -90

-10 x - 6y = -90

Subtracting,

15x = 0

x = 0

y = -90/(-6) = 15

Answer: x=0, y=15


8 0
3 years ago
1. How do I find slope? What does a positive or negative slope mean?
gavmur [86]

Answer:

If your looking at a graph, you find the slope by going to a random point, and using rise/run to go to the next point. A negative slope means the function is decreasing, and a positive slope means the function is increasing.

6 0
2 years ago
A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled
n200080 [17]

Answer:

24000 pieces.      

Step-by-step explanation:

Given:

Side lengths of cube = \frac{1}{4} \ foot

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

Volume\ of\ cube =a^{3}

                          =\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot

                                   

Length = 8 foot, Breadth = 6\frac{1}{4} =\frac{25}{4} \ foot, Height =7\frac{1}{2} =\frac{15}{2} \ foot

Volume\ of\ rectangular\ prism =length\times breadth\times height

                                                =8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = \frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.                                

7 0
3 years ago
Two less than three times a number is the same as six more than twice the number. Write an equation and solve to find the number
lapo4ka [179]

Answer: 8

Step-by-step explanation:

Let the number be represented by x.

Two less than three times a number is the same as six more than twice the number. This will be:

(3 × x) - 2 = (2 × x) + 6

3x - 2 = 2x + 6

Collect like terms.

3x - 2x = 6 + 2

x = 8.

The number is 8

8 0
2 years ago
an artist is using tiles and boards for a project. A tile has length 2/3 ft and width 2/3 ft. A board has length 1/2 yd and widt
Margaret [11]

Answer:

  4 : 9

Step-by-step explanation:

The requested ratio is ...

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  = 8 : 18 = 4 : 9

_____

To make a unitless ratio, both parts must have the same units. Here, we chose to express the lengths in inches. We could have used feet or yards as well. (2/3 ft)×(1 yard)/(3 ft) = 2/9 yd or (1/2 yd)(3 ft/yd) = 3/2 ft. You get the same ratio with any of these:

  (2/9 yd) : (1/2 yd) = (4 yd) : (9 yd) = 4 : 9 . . . . . multiply by 18

  (2/3 ft) : (3/2 ft) = (4 ft) : (9 ft) = 4 : 9 . . . . . multiply by 6

5 0
3 years ago
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