Answer:
a = -2
Step-by-step explanation:
-3a + 8 = 14
14 - 8
= 6
-3a = 6
6/-3
= -2
a = -2
Please give me brainliest :)
Answer:
(5a−3)^2
Step-by-step explanation:
25a^2 - 30a + 9
Factor the expression by grouping. First, the expression needs to be rewritten as 25a^2+pa+qa+9. To find p and q, set up a system to be solved.
p+q=−30
pq=25×9=225
Since pq is positive, p and q have the same sign. Since p+q is negative, p and q are both negative. List all such integer pairs that give product 225.
−1,−225
−3,−75
−5,−45
−9,−25
−15,−15
Calculate the sum for each pair.
−1−225=−226
−3−75=−78
−5−45=−50
−9−25=−34
−15−15=−30
The solution is the pair that gives sum −30.
p=−15
q=−15
Rewrite 25a^2 - 30a + 9 as (25a^2−15a)+(−15a+9).
(25a^2−15a)+(−15a+9)
Factor out 5a in the first and −3 in the second group.
5a(5a−3)−3(5a−3)
Factor out common term 5a−3 by using distributive property.
(5a−3)(5a−3)
Rewrite as a binomial square.
(5a−3)^2
The question asks for sales tax rate. Sales tax is 39.90-38=1.90 and that's taxed onto the original $38 so 1.9/38=0.05
5% tax on the blazer
Answer:
$ 0.50
Step-by-step explanation:
Cost of 5 lunch rolls = $ 2.50
Cost of 1 roll
= 2.50 / 5
= $ 0.50
Answer:
Han's mixture tastes stronger, because...
Han's uses 6 2/3 cups of water for every 1 cup of orange juice concentrate.
Clare uses 7 1/2 cups of water for every 1 cup of orange juice concentrate.
Step-by-step explanation:
Claire
Cups of water = 2 1/2 cups
Cups of orange juice = 1/3
Cups of water for every cup of orange juice = 2 1/2 ÷ 1/3
= 5/2 × 3/1
= 15/2
= 7 1/2
Han:
Cups of water = 1 2/3 cups
Cups of orange juice = 1/4 cups
Cups of water for every cup of orange juice = 1 2/3 ÷ 1/4
= 5/3 × 4/1
= 20/3
= 6 2/3
