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Nana76 [90]
3 years ago
6

Avery has 2 blue marbles. One sixth of Avery's marble are blue. How many marbles does Avery have?

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

Step-by-step explanation:

The equation

2 = (1/6)x represents this situation.

2 is 1/6 of some value.  In this case, the value is the total number of marbles.  2 represents 1/6 of the total number of marbles is how to read that equation in context.  Solve that equation for x

2 = (1/6)x  

12 = x           (multiply both sides by 6 to get rid of the fraction)

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‘write an equation of the line that passes through each pair of points’ (1,2) and (4,8)
Levart [38]

<u><em>Hi there! </em></u>

Step-by-step explanation:

Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}

\frac{8-2}{4-1}=\frac{6}{3}=2

<em><u>So therefore, the slope is 2.</u></em>

<em><u>Final answer is 2.</u></em>

<em><u>*The answer must have a positive sign.*</u></em>

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8 0
3 years ago
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a​ single-strand electric
larisa86 [58]

Answer:

525 x 1,050

A = 551,250 m²

Step-by-step explanation:

Let 'L' be the length parallel to the river and 'S' be the length of each of the other two sides.

The length of  the three sides is given by:

2S+L=2,100\\ L=2100-2S

The area of the rectangular plot is given by:

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The value of 'S' for which the area's derivate is zero, yields the maximum total area:

\frac{dA(S)}{dS}=\frac{d(2100 S -2S^2)}{dS}\\0= 2100 - 4S\\S=525

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The largest area enclosed is given by dimension of 525 m x 1,050 and is:

A = 525*1,025\\A=551,250\ m^2

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Step-by-step explanation:

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