First we need to know both the formula of A and B.
The formula of A is
C = 5 + 0.25p
with C representing total cost and p representing the amount of checks.
The formula of B is
C = 6 + 0.15p
with C representing total cost and p representing the amount of checks.
To find the point where A and B cost the same, we solve the following equation:
5 + 0.25p = 6 + 0.15p
Collecting terms gives us
-1 = -0.1p
Now we have to divide by -0.1 and we get.
10 = p
p = 10
So our answer: after 10 checks both accounts cost the same amount of money. Answer A.
Answer:
4.615 in
Step-by-step explanation:
Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.
In triangle ABC, using Pythagoras theorem:
AC² = AB² + BC²
AC² = 12² + 5²
AC² = 144 + 25 = 169
AC² = 169
AC = √169 = 13 in
Using similar triangle for ΔABC and ΔABD:
Answer:
subtract 9 from both sides
Step-by-step explanation:
m + 9 = 45 ( subtract 9 from both sides )
m = 36
1 1/3 = 4/3 (because (3 * 1 + 1) / 3)
We need both parts of sum to have common denominator.
Second part have denominator = 6.
When we multiply nominator and denominator of first part by 2 we get 8/6 (what is legit operation on fractions)
Now easily add:
8/6 + (- 5/6) = 8/6 - 5/6 = 3/6 (here we can divide both nominator and denominator by 3 to get "nicer" result) = 1/2
Answer:
y= - 1/2*x -1
Step-by-step explanation:
