Mathematics, 13.10.2019 11:30 2002boo13

How do you do this and do the working and tell me if you can.(optional)

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[1] Try answering an easier question first to show yourself the idea. Let's say we had $20 instead, if each toy costs $9, how many toys could we buy? and how much money would be left over?

It isn't too hard to see that we could only buy 2 toys for $18 total and we would have $2 left over.

[2] With larger numbers we really have to come up with a strategy for consistently getting the right answers. We can't just "feel" our way to the answer. Now, we have $2760 and each toy costs $9. How can we figure out the total number of toys we could buy?

Well, we can definitely buy more than 2 toys (duh!)... In fact, we can figure out the number of toys by dividing 2760 by 9:

306 R 6

9 |2760

So, we're saying that we can buy 306 toys and have $6 left over. Do you believe that? Check it!

306*9 = $2754

which does leave $6 left over like we said.

We are done!

Answer from: Quest

The distance from point a to point c across the coordinate plane is aproxamatly 8.94 rounded to the nearest hundredth. you use a^2 + b^2 =c^2
Apply the pythagorean theorem to find the distance between points a and c

Apply the pythagorean theorem to find the distance between points a and c

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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