- b.The phrase “p percent” can be represented
symbolically as 1 p 00 . As such, since we are
decreasing qby this quantity, the resulting
quantity is represented by q– 1 p 00 . - d.The cost of the three meals is (a+ b+ c)
and a 15% tip is represented by. 0.15(a+ b+ c).
This latter value is added to the cost of the three
meals to obtain the total cost of the dinner,
namely (a+ b+ c) + 0.15(a+ b+ c) = 1.15(a+
b+ c). Now, splitting this cost evenly between
the two brothers amounts to dividing this
quantity by 2; this is represented by choices b
andc. - A 75% increase in enrollment Eis represented
symbolically as 0.75E, which is equivalent to
^34 E. Adding this to the original enrollment E
results in the sum E+ ^34 E, which is the new
enrollment. - a.The total cost of her orders, before the dis-
count is applied, is represented by the sum W
+ X+ Y+ Z. A 15% discount on this amount
is represented symbolically as 0.15(W+ X+
Y+ Z). So, her total cost is (W+ X+ Y+ Z).
(W+ X+ Y+ Z) – 0.15(W+ X+ Y+ Z), which
is equivalent to 0.85 (W+ X+ Y+ Z).Section 2—Linear Equations
and InequalitiesSet 10 (Page 18)
- a.
z– 7 = –9
z– 7 + 7 = –9 + 7
z= –2
146. e.
8 k= 8
8 k8 = 8 8
k = 64
147. a.
–7k– 11 = 10
–7k– 11 + 11 = 10 + 11
–7k= 21
–7k–^17 = 21–^17
k= –3
148. c.
9 a+ 5 = –22
9 a+ 5 – 5 = –22 – 5
9 a= –27
9 a^19 = –27^19
a= –3
149. d.
p 6 + 13 = p– 2
p 6 + 13 – 13 = p– 2 – 13
p 6 = p– 15
p 6 – p= p– p– 15- ^56 p= –15
–5p 6 –^65 = –15–^65
p= 18
- a.
2.5p+ 6 = 18.5
2.5p+ 6 – 6 = 18.5 – 6
2.5p= 12.5
p= ^122 .. 55 =5 - a.
130 x= ^1255
13 0 x(^130 ) = ^1255 (^130 )
- ^56 p= –15
x= ^1755 ^0 = 2ANSWERS & EXPLANATIONS–