Mark has $175 to spend on school clothes. He buys 4 shirts for $24 each, 2 pairs of shorts for $18 each, and 2 pairs of pants for $22.50 each. The shirts are discounted 20%. If the tax rate is 6%, how much money will Mark have remaining after buying these items?

$7.7

Step-by-step explanation:

Step one:

given data

total money = $175

He buys 4 shirts for $24 each= 24*4= $96

The shirts are discounted 20%

= 96- 0.2*96= 96-19.2= $76.8

2 pairs of shorts for $18 each= $36

2 pairs of pants for $22.50 each= $45

Total cost = $157.8

tax= 6%

total expenses

= 157.8+ 0.06*157.8

=157.8+9.468

=$167.268

The balance is

= 175-167.268

=$7.7

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.