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3 years ago

8

Farmer sells 6.2 kg of pears and apples at the farmers market 3/5 of this away is Paris, and the rest is apples. How many kilogr

ams of apples did she sell at the farmers market?

1 answer:

Romashka [77]3 years ago

8 0

Answer:

2.48 kg

Step-by-step explanation:

1 - ⅗ = ⅖

⅖ × 6.2 = 2.48

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You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river

inn [45]

Answer:

The length and width of plot is $L=300\:ft$ , $W=150\:ft$

Largest area of the plot is $A=45000 ft^{2}$

Step-by-step explanation:

Assume width as x and length as y. Given that length of fencing is 600 feet and fencing is enclosed on 3 sides. So perimeter is given as,

Perimeter = width + length + width

Substituting the value,

$600=x+y+x$

$600= 2x+y$ ….1

Now area of fence of rectangular box is given as follows,

$A=xy$ ….2

Solving equation 1 for y, subtracting 2x from both sides,

$600-2x= y$

Substituting the value in equation 2,

$A=x\left (600-2x \right )$

Simplifying

$A=600x-2x^{2}$

Rewriting,

$A=-2x^{2}+600x$

Above equation looks like quadratic equation $f\left ( x \right )=ax^{2}+bx+c$ whose graph looks like parabola.

Comparing equation f(x) and A values of a, b and c are, $a=-2,b=600$ and $c=0$ .

Now maximum of $f\left ( x \right )$ occurs at vertex.

The x coordinate of the vertex is given as $-\dfrac{b}{2a}$

Substituting the values,

$x=-\dfrac{600}{2\left (-2 \right )}$

Simplifying,

$x=\dfrac{600}{4}$

$x=150$

So width of plot is 150 feet.

Now to calculate value of length by using equation 1,

$600= 2x+y$

Substituting the values,

$600= 2\left (150 \right )+y$

$600= 300+y$

Subtracting 300 from both sides,

$300= y$

So length of plot is 300 ft.

The y coordinate of the vertex is given as $y=f\left ( -\dfrac{b}{2a} \right )$ which also means, $y=f\left ( 150 \right )$

$\therefore A=-2\left (150 \right )^{2}+600\left (150 \right )$

Simplifying,

$\therefore A=-2\left (22500 \right )^{2}+600\left (150 \right )$

$\therefore A=-45000+90000$

$\therefore A=45000$

So, area of the plot will be $A=45000 ft^{2}$

7 0

3 years ago

It is literal equations please help me

lisabon 2012 [21]

Answer:

Step-by-step explanation:

Yo I’m finna give u the link tho this answer https://socratic.org/questions/how-do-you-solve-p-2l-2w-for-l#581467

6 0

3 years ago

Solve for d.<br><br> 6(d+1)−2d=54<br><br><br><br> Enter your answer in the box.

Solnce55 [7]

D = 12 the answer is 12

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3 years ago

Une machine sert à fabriquer tous les triangles rectangles (uniques en termes de proportions) dont les côtés ont pour

aliina [53]

Answer:

............

Step-by-step explanation:

..

.

..........

4 0

3 years ago

In form ax+by+c=0

pav-90 [236]

I don't get you but if you transform the equation to it's standard form, it will be
3x+4y=4
First, Multiply each term by 4:
y(4)=-3x/4(4)+1(4)
4y=-12x/4+4
4y=-3x+4
Now add 3x to both sides of the equation:
4y+3x=-3x+3x+4
3x+4y=0+4
3x+4y=4

5 0

3 years ago