- 24 divided by 6 = ?
2 answers:
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The <em>correct answers</em> are:
B) $25; and
D) $50.
Explanation:
Eric got a 20% discount. This means he paid 100%-20% = 80% of the retail value.
Let C represent the cost of CDs and S represent the cost of sweatshirts. For Eric's purchase, we have the equation:
0.8(3C+S) = 100
Using the distributive property, we have
0.8(3C) + 0.8(S) = 100
2.4C + 0.8S = 100
Neil got a 40% discount; this means he paid 100%-40% = 60% of the retail value. We have the following equation for him:
0.6(4C+2S) = 120
Using the distributive property, we have:
0.6(4C)+0.6(2S) = 120
2.4C + 1.2S = 120
This gives us the system:
Since the coefficient of C is the same in each equation, we will eliminate this variable. We do this by subtracting the equations:
We divide both sides by -0.4:
-0.4S/-0.4 = -20/-0.4
S = 50
Each sweatshirt is $50.
We will substitute this into the first equation:
2.4C+0.8(50) = 100
2.4C + 40 = 100
Subtract 40 from each side:
2.4C+40-40 = 100-40
2.4C = 60
Divide each side by 2.4:
2.4C/2.4 = 60/2.4
C = 25
Each CD is $25.
Answer:
7.9 ft
Step-by-step explanation:
The hypotenuse is the side opposite of the right angle, hence the hypotenuse for this triangle is 11 ft.
Side is adjacent to the angle given. So we need adjacent and we have hypotenuse. Which trigonometric ratio relates adjacent and hypotenuse? It is COSINE.
<em>Thus, we can write:</em>
<em>Cross multiplying, we can solve for :</em>
Rounding to nearest tenth, we have ft.