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3 years ago

5

Two friends, Devon and Bryce, are working together at the Oakland Cafe today. Devon works every 2 days, and Bryce works every 9

days. How many days do they have to wait until they next get to work together?

1 answer:

ludmilkaskok [199]3 years ago

5 0

Answer:

11 days before they worked together

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Find the dimensions of the rectangular corral producing the greatest enclosed area given 320 feet of fencing. (Assume that the l

jenyasd209 [6]

Answer:

The dimensions of the rectangular corral producing the greatest enclosed area is a square of 80 ft x 80 ft

Step-by-step explanation:

Let

x -----> the length of the rectangular corral in feet

y -----> the width of the rectangular corral in feet

we know that

The area of the rectangular corral is equal to

$A=xy$ -----> equation A

The perimeter of the rectangular corral is equal to

$P=2(x+y)$

$P=320\ ft$

so

$320=2(x+y)$

Simplify

$160=(x+y)$

$y=160-x$ -----> equation B

substitute equation B in equation A

$A=x(160-x)$

$A=-x^2+160x$

This is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the length for the maximum area

The y-coordinate of the vertex represent the maximum area

Convert the quadratic equation in vertex form

$A=-x^2+160x$

Factor -1

$A=-(x^2-160x)$

Complete the square

$A=-(x^2-160x+80^2)+80^2$

$A=-(x^2-160x+80^2)+6,400$

Rewrite as perfect squares

$A=-(x-80)^2+6,400$

The vertex is the point (80,6,400)

so

$x=80\ ft$

The maximum area is 6,400 ft^2

<em>Find the value of y</em>

$y=160-x$ ----> $y=160-80=80\ ft$

therefore

The dimensions of the rectangular corral producing the greatest enclosed area is a square of 80 ft x 80 ft

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In how many ways can four students line up at a bus stop?

Naddik [55]

Answer:

24

Step-by-step explanation:

Statistically... this is just a permutation of 4

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563-273 do you have to regroup

Marizza181 [45]

Yes you do because you cannot subtract 7 from 6.

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Mr. Mayntz's math class is made up of 29 students. Some of the students are male

zaharov [31]

Answer:

Statements 2 and 3.

Step-by-step explanation:

The first statement is impossible since you cannot have half a person. The last statement is also incorrect, because it would imply that the total number of students in the class is -29. The second statement is correct, if you assume that x and y represent either the number of male or female students. The third statement is possible, and the numbers add up to 29. Finally, the fourth statement is impossible because it would imply that the class had negative male students. Hope this helps!

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Are the expressions 3.16 - 0.22b and 2.88b Equivalent?

aleksley [76]

Answer:

no

Step-by-step explanation:

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