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stiks02 [169]
3 years ago
11

The ratio of students that ride the bus as compared to those that walk is 10:1. Does this school have more students that ride th

e bus or walk? how so you know?
Mathematics
1 answer:
trapecia [35]3 years ago
5 0

Answer:

  • more that ride the bus
  • 10:1 is more than 1:1

Step-by-step explanation:

riders : walkers = 10 : 1

The ratio tells you that 10 students ride the bus for every 1 student that walks. Since 10 is more than 1, more students ride the bus.

We know more students are riders, because we know that 10 is more than 1.

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2 years ago
The volume of the rectangular prism is 648 feet. The rectangular base is 6 feet by 9 feet. What is the height of the prism?
IrinaK [193]

Answer:

h=12ft

Step-by-step explanation:

The formula one would use for finding the volume of a rectangular prism is as follows:

  • Volume = length × width × height , V=l*w*h

With this in mind, let's plug in the given variables in the question for this formula.

V=648ft^3

l=6ft

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h= ?

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V=lwh\\648ft^3=(6ft)(9ft)h

  • I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}

  • Notice, that the units on the left side cancel out, leaving only the unit ft left next to the solution. In the same way, the units on the right side cancel out too, leaving only h, height.

\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h

If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.

V=lwh\\648=(6)(9)h\\648=54h\\\frac{648}{54}=\frac{54h}{54}\\12ft=h

5 0
3 years ago
You originally draw a design for an art contest on a 4 in. x 5 in. card. The second phase of the contest requires the drawing to
Nutka1998 [239]
 as we know that <span>If the 4" side of the card was scaled up to 10.5
 then the scaling factor is 10.5/4 = 2.625. 
The 5 side would  be the length 5 x 2.625 = 13.125 which exceeds the maximum dimension of 11. 

Thus, it is the 5 side which is scaled up to 10.5 and the scaling factor is therefore 10.5/5 = 2.1. 
The scaled up length of the 4 side is thus 4 x 2.1 = 8.4.</span>
6 0
3 years ago
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