Mathematics, 19.08.2019 21:30 janeou17xn

In how many ways can 12 one-dollar coins be shared between josh, frank, and suzy if each of them receives at least 3 coins?

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Since 9 of the coins are accounted for (each must receive at least 3) let's see how we can divide the remaining 3 coins.

Josh Frank Suzy
3 0 0 Josh gets all of them
0 3 0 Frank gets all of them
0 0 3 Suzy gets all of them
1 1 1 They share them
2 1 0 2 way to do it if Josh gets 2 coins
2 0 1 (this is the 2nd way if Josh gets two)

So there must be two ways to do it if Frank gets 2 coins and two more ways to do it if Suzy gets two coins.

Recap: 3 way if one person gets all 3 coins and the others get 0
1 way if they all get a single coin
6 ways if one person gets 2 and another gets the remaining one.

Total = 10 ways.

Answer from: Quest

On monday,mrs.wise bought 3 lbs of apples at $4per lb= 4*3=$12on tuesday ,20%off and she buy 5 lbs of apples = $4-20%=3.20*5lb=$16example: other wise when she buy 5lbs on monday she have to spend 4*5=20

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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