Mathematics, 16.09.2019 11:50 costance2314

Alocal walmart sells sweatpants ($7) and jackets ($14). if total sales were $6,160 and customers bought 8 times as many sweatpants as jackets, what would be the number of jackets sold?

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Answer from: jean69

Step-by-step explanation:

Given: local Walmart sells sweatpants $7 and jackets $14.

To Find: If total sales were $6,160 and customers bought 8 times as many sweatpants as jackets find the number of jackets sold.

Solution:

Let the number of jacket sold be $=\text{j}$

Price of one jacket $=\$14$

Let the number of sweatpants sold be $=\text{s}$

Price of one sweatpant $=\$7$

Now,

equation for total sales is

$\text{total sales}$ $=14\text{j}+7\text{s}$

as customers bought 8 times as many sweatpants as jackets,

$\text{s}=8\times\text{j}$

and Total sales $=\$6160$

Putting in equation

$6160=14(\text{j})+7\times8\text{j}$

$6160=70\text{j}$

$\text{j}=88$

Therefore the number of jacket sold is

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

english, cause i can’t you

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