Let x be the number of movies purchased. If each movie you purchase costs $3.50 dollars, this means that the total cost of x movies in one month is $3.50x
In addition, you have to pay $40 for satellite TV. We can now find an equation to find the total cost per month:
40 + 3.50x
Now, by hypothesis, you paid $57.50 during a month as a total bill.
Which means that 40 + 3.50x = 57.50
We need to find the number of movies purchased during that month, or, in mathematical words, we need to solve for x.
40 + 3.50x = 57.50
First, let's put the variables apart and the numbers apart by subtraction 40 from each side, so we get:
40 - 40 + 3.50x = 57.50 - 40
3.50x = 17.50
Now divide both sides by 3.50
(3.50x)/(3.50) = 17.50 / 3.50
x = 5
So, during that month, you purchased 5 movies.
Hope this helps! :)
Answer:
Boden's conjecture is correct
Step-by-step explanation:
we know that
If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa.
A right triangle, has two acute angles.
The two acute angles are complementary
so
In any right triangle, the sine of one acute angle is equal to the cosine of the other acute angle
therefore
Boden's conjecture is correct
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Answer:
hotdogs 3.45
rolls 2.60
Step-by-step explanation:
6h + 8r = 41.5
r=h-.85
6h + 8(h-.85)=41.5
6h + 8h - 6.8 = 41.5
14h = 41.5 + 6.8
14h = 48.3
h=48.3/14
h=3.45
r=3.45-.85=2.6