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Zina [86]
3 years ago
13

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulati

ons to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans he plants and $3,000 for every acre he plants with barley can be modeled by P=4000x+3000y . If x represents acres of soybeans and y represents acres of corns, which inequalities represent the possible solutions to her situation?
Mathematics
1 answer:
horrorfan [7]3 years ago
5 0
The answer is x≥0 y≥0 x+y≤6 2x+3y≤15
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PLEASE HELP , REWARD WILL BE GIVEN
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Total 60 vaccinations that consisted of 184 doses.
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4 years ago
Six out of ten people reported they like coffee. What percent of people
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Since 6 out of 10 people reported they liked coffee then 60% of people reported they liked coffee
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3 years ago
Read 2 more answers
Find the area of the largest rectangle (with sides parallel to the coordinate axes) that can be inscribed in the region enclosed
garik1379 [7]
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards. 
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards. 
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x. 
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
 => Area, A 
= 2x (y1 - y2) 
= 2x (18 - x^2 - 2x^2 + 9) 
= 2x (27 - 3x^2) 
= 54x - 6x^3 
For area to be maximum, dA/dx = 0 and d²A/dx² < 0 
=> 54 - 18x^2 = 0 
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants) 

d²A/dx² = - 36x < 0 for x = √3 
=> maximum area 
= 54(√3) - 6(√3)^3 
= 54√3 - 18√3 
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4 0
3 years ago
There is 12/15 of a pizza left. How many 3/10 pieces can be made from the leftover pizza? Show work please!
Katyanochek1 [597]

How many 1/3 pieces can be made from 2 pizzas, we know it is 6 and it is arrived by dividing 2 by 1/3 or multiplying by its reciprocal 3/1.

Hence to find how many 3/10 pieces can be made from 12/15 pizza, we have to divide 12/15 by 3/10 or multiplying by its reciprocal 10/3, i.e.

12/15 times 10/3= 8/3 or 2  2/3 

What does that mean? This means that while 2 three-tenths pieces can be made, 2/3of 3/10 i.e. <span>2/3×3/10=2/10=1/5</span> or one-fifth of pizza will be left out.

So the answer is 2 three-tenths pieces can be made, and one-fifth pizza will be left out.

5 0
4 years ago
Janet has 3 sweatshirts, 5 t-shirts, and 2 pairs of pants that can be worn together. If each outfit has a sweatshirt, t-shirt, a
RideAnS [48]

Answer:

30 outfits

Step-by-step explanation:

First, come up with all the possibilties for one of the sweatshirts. So...

S11

S12

S21

S22

S31

S32

S41

S42

S51

S52

Count up all of those and then multiply it by three

10 * 3 = 30

Have a wonderful day!

4 0
3 years ago
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