Mathematics, 28.06.2019 15:00 taetae83

Max has cashews that sell for $4.75 a pound and peanuts that sell for $2.75 a pound. how much must he mix to get 80 pounds of a mixture that he can sell for $3 per pound

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Answer from: Weser17

10 lb of cashews and 70 lb of peanuts

Step-by-step explanation:

Let x = the pounds of cashews.

Then 80 – x = the pounds of peanuts

Value of cashews + value of peanuts = volume of mixture

x×4.75 + (80 – x)×2.75 = 80×3 Remove parentheses

4.75x + 220 - 2.75x = 240 Combine like terms

2.00x + 220 = 240 Subtract 220 from each side

2.00x = 20 Divide each side by 2.00

x = 10 lb

80 - x = 80 – 10

80 - x = 70 lb

Max will mix 10 lb of cashews with 70 lb of peanuts.

Check:

10×4.75 + 70×2.75 = 80×3.00

47.50 + 192.50 = 240.00

240.00 = 240.00

Answer from: Quest

, ; dcbsdkmnld

step-by-step explanation:

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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Max has cashews that sell for $4.75 a pound and peanuts that sell for $2.75 a pound. how much must h...