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Serga [27]
1 year ago
13

Maria works as a ride loader on "Space Mountain". She averages twenty passengers every twenty minutes. Sal also works as a ride

loader on "Space Mountain" and averages twenty passengers every twenty-five minutes. If Maria and Sal work together, about how many minutes will it take to load twenty passengers?
Mathematics
1 answer:
Sati [7]1 year ago
3 0

Answer:

36 passengers

Step-by-step explanation:

Maria averages 20 passengers every 20 minutes, so she places 1 passenger per minute.

Sal averages 20 passengers every 25 minutes, so he places 0.8 passenger per minute.

If they work together, they can place (1 + 0.8) passengers = 1.8 passengers per minute.

In 20 minutes, they can load

1.8 passengers/minute * 20 minutes = 36 passengers

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Solve for the roots in the following equation. hint: factor both quadratic expressions. (x 4 5x 2 - 36)(2x 2 9x - 5) = 0
OleMash [197]
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The cost of 6 sandwiches and 4 drinks is $53. The cost of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?
melomori [17]

In this question, we're trying to find cost of one sandwich.

To find this, we must make a systems of equation from the given information:

We would represent sandwiches as "s" and drinks as "d".

Systems of equations:

6s + 4d = 53

4s + 6d = 47

Solve for s:

6(6s + 4d = 53)

-4(4s + 6d = 47)

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8 0
1 year ago
Two similar cones have heights of 9 cm and 4 cm. Find the ratio of their volumes
Rudik [331]

Answer:

The ratio of their volumes is:     \frac{729}{64}

Step-by-step explanation:

If the cones are similar, then the ratio of their heights should equal the ratio of their radiuses. If we call R the radius of the larger cone (the one of height 9 cm) and r the radius of the smaller cone (the one of height 4 cm), then the following proportion should be verified:

\frac{R}{r} =\frac{9}{4} \\R=\frac{9\,r}{4}

where we have solved for "R" in terms of "r".

Now we input this information in the formula for the volume (V) of the largest cone, and for the volume (v) of the smaller cone, recalling that the volume of a cone is the product of the area of the cone's circular base (\pi *\,radius^2).

v=\frac{\pi\,r^2\,4\,}{3} =\pi r^2\,\frac{4}{3} \\V=\frac{\pi\,R^2\,9}{3}=\frac{\pi\,(\frac{9\,r}{4} )^2\,9}{3}=\frac{\pi\,r^2\,729}{16*3}=\pi r^2\,\frac{243}{16}

So now the ratio of their volumes (V/v) can be obtained:

\frac{V}{v} =\frac{\frac{243}{16}}{\frac{4}{3}}  =\frac{729}{64}

6 0
2 years ago
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