Respuesta :
1. The cost of items are= $2.50, $8.75, $3.00, $10.25
Total cost = $ 24.50
Tax rate = 6%
Hence tax amount is = [tex]\frac{6}{100} *24.50[/tex] = $ 1.47
2. Time involved in exercise in 1 month = 24 hours
Hence, total time involved in exercising for a year = [tex]24*12=288[/tex] hours
3. find the value of this integer expression: -2( 3+ -4 +-8+ 7)
Value is obtained by [tex]-2(3+(-4-8)+7)[/tex]
= [tex]-2(3-12+7)=-2(-2)=4[/tex]
4. find the value of this fraction computation: 6( 1/2 + 2/3 + 3/4)
[tex]6(\frac{1}{2}+\frac{2}{3}+\frac{3}{4})[/tex]
=[tex]6(\frac{6+8+9}{12})[/tex]
=[tex]6(\frac{23}{12}) = \frac{23}{2}[/tex]
5. find the perimeter of a rectangular area with a length of 13 inches and width of 7 inches.
Perimeter of a rectangle = 2(length + width)
perimeter = [tex]2(13+7)[/tex]
=[tex]2(20)=40[/tex] inches
6. a situation in which the distributive property could be used is the perimeter of a rectangle.
2(length + width) = 2length + 2width
example- suppose the length of the rectangle is 10 cm and width is 4 cm
so, perimeter is 2(10+4)
= 2(10) + 2(4) = 20+8 =28cm ..... with distributive property
or
2(10+4) = 2(14) =28cm ........ without distributive property
