7.) Solve the inequality 8 - 2s 20
a.) s -6
b.) s 14
c.) s -6
d.) s 14
24.) Ingrid is planning to order a pizza. She can choose between a coupon offer and the store special:
Coupon:
$12 for a plain pizza
$0.50 per topping
Store Special:
$10.50 for a plain pizza
$1 per topping
Write 2 equations and show all your work to find the number of toppings that make the two choices the same price.
25.) Solve the inequality 6z - 3 15 and determine for which of the following value(s) for z the inequality is true. Show your work and calculations.
z = -6, -5, 3, 5
11,) Micah filled his garden with 6 cubic feet of organic dirt. The garden is a rectangular prism with a volume v=lwh where l is length, w is width, and h is depth. If the garden is 1 foot deep and 3 feet wide, how long is the garden?
a.) 1 foot
b.) 2 feet
c.) 3 feet
d.) 4 feet
7.)
8-2s20
-122s = s-6
25.)
6z-315
6z18
z3 = z in (-oo; 3) = it’s true for z = -6 and -5
I have no more time so another one may help you.
Bye..
7. 8 - 2s 20 subtact 8 from both sides
-2s 12 divide both sides by -2. Since you are dividing by a negative number, the
changes to a
s -6 answer is a)
24 Coupon price = 12 + .5t where t is number of toppings
Store special price = 10.50 + t
You need 12 + .5t = 10.5 + t start by subtracting 10.5 from both sides to get
1.5 + .5t = t and now subtract .5t from both sides to get
1.5 = .5t and finally multiply both sides by 2 to get
3 = t
25 6z - 3 15 add 3 to both sides to get
6z 18 divide both sides by 3 to get
z 3
so z = -6, - 5 are the ones that work
11. v = lwh, and you have that v = 6, w = 3 and h = 1. plug in all that to get
6 = l(3)(1) = 3l
if 3l = 6 then divide both sides by 3 to get l = 2. Answer is b)
7) 8 - 2s 20
-2s 20 - 8
-2s 12
2s - 12
s - 6
…………………………………………………
24) let x = no of toppings and y = price
0.5x + 12 = y
x + 10.5 = y
0.5x -y = -12
x -y = - 10.5
subtract
-0.5x = - 1.5
0.5x = 1.5
x = 1.5/0.5
x = 3
subst this value for x in either of the two equations
3 - y = - 10.5
-y = -10.5 - 3
-y = -13.5
y = 13.5
so 3 toppings would make them both 13.50 dollars, so the answer is 3.
…………………………………………
25) 6z - 3 15
6z 15 + 3
6z 18
z 3
true for -6 and -5
……………………………..
11) 6 = l x 3
3l = 6
l = 2
so the answer is b), 2 feet.