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Lena [83]
4 years ago
10

sara nick and robin were collecting cans for a recycling project . sara collected 5 times as many cans as robin . nick collected

6 times as many cans as robin . the 3 children collected a total 216 cans . how many cans did they each collect?
Mathematics
1 answer:
artcher [175]4 years ago
8 0
R = robins cans
s = sara's cans
n = nick's cans
T = total cans

s = 5r
n = 6r
T = 216 = s + r + n

we sub in the first two equations into the first

216 = 5r + 6r + r
216 = 12r
r = 18
sub this back into equations 1 and 2

thus

r = 18
s = 90
n = 108
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Aneli [31]

For this case we have to, by defining properties of powers and roots the following is fulfilled:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

We must rewrite the following expression:

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Applying the property listed we have:

\sqrt [3] {8 ^ {\frac {1} {4} x}} = 8 ^ {\frac{\frac {1} {4} x} {3} }= 8 ^ {\frac {1} {4 * 3} x} = 8 ^ {\frac {1} {12} x}

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victus00 [196]

Answer:

B 9

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anyanavicka [17]

reflection and translation.

Given:

The different transformation in the options.

To find:

The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.

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(x,y)\to (y,x)

It represents reflection across the line y=x.

In option 2,

(x,y)\to (x,-y)

It represents reflection across the x-axis.

In option 3,

(x,y)\to (4x,4y)

It represents dilation by scale factor 4 and the center of dilation is at origin.

In option 4,

(x,y)\to (x+2,y-5)

It represents translation 2 units right and 5 units down.

We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.

So, the perimeter of the figure and its image are same in the case of reflection and translation.

But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.

Therefore, the correct option is 3.

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3 years ago
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