Joanie decides to buy matching sweaters for herself and her 3 sisters. the regular price of the sweaters is $37. joanie says if she buys four sweaters, two at the regular price and two on sale, she will save 40% off the total cost of the four sweaters at their regular price. is joanie correct?

Yes, it is possible if the sweaters on sale are $7.40 each.

Step-by-step explanation:

The sweaters each cost $37. To purchase all four (for herself and 3 sisters) without a sale would be 4(37)= $148.

40% off the regular price would be 0.40(148)= $59.20 savings. She would spend 148-59.2= $88.80.

Is it possible to buy two regular price sweaters and two on sale for $88.80?

2(37)=$74. If we subtract from the sales total, 88.80-74=14.80. This means the two sweaters on sale must each be $7.40. It is possible to save 40%.

72 is the answer to this problem

the system of inequity is

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

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

the related equation of solid line is .

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

the related equation of dashed line is

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).

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 . the required inequality is

similarly, check the second related equation.

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