52 characters long been bop
Answer:
$333.5
Step-by-step explanation:
First we have to find 45% of 230 and then add that value to 230
(we can also find 145% of 230, which is essentially the same thing)
so 45% of 230 is:
230*(45/100)= $103.5
230+103.5= $333.5
Step-by-step explanation:
3a²-7a−6
Factor the expression by grouping. First, the expression needs to be rewritten as 3a
2
+pa+qa−6. To find p and q, set up a system to be solved.
p+q=−7
pq=3(−6)=−18
Since pq is negative, p and q have the opposite signs. Since p+q is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product −18.
1,−18
2,−9
3,−6
Calculate the sum for each pair.
1−18=−17
2−9=−7
3−6=−3
The solution is the pair that gives sum −7.
p=−9
q=2
Rewrite 3a
2−7a−6 as (3a
2−9a)+(2a−6).
(3a 2−9a)+(2a−6)
Factor out 3a in the first and 2 in the second group.
3a(a−3)+2(a−3)
Factor out common term a−3 by using distributive property.
(a−3)(3a+2)
Answer:
of oil are needed for each cup of vinegar.
Step-by-step explanation:
Given:
A recipe of salad dressing calls for ¼ cup vinegar to ⅔ cup oil.
Now, to find the cups of oil are needed for each cup of vinegar.
So, we solve by using unitary method:
If 
cup of vinegar is needed for oil of 
cup.
So, 1 cup of vinegar is needed for oil of = 
= 
(the fractions turns reciprocals as the division changes into multiplication)
= 
= 
cups.
Therefore, of oil are needed for each cup of vinegar.
