If an item has been discounted 30%, then it is currently worth 70% of the original price. This tells us that $49 is 70% of the original price. Therefore, you need to divide $49 by 70% to get your answer (you have to work backwards; remember that you would have multiplied the original number by 0.7 to get 49):
49÷(70/100)= $70
Therefore, the price of the original product was $70
So,
1/4(3c + 5) + -1/2(2c + 3) = 1/2
First, we distribute to get rid of the parentheses. (PEMDAS)
3/4c + 1 1/4 - c - 1 1/2 = 1/2
Now, we collect like terms.
-1/4c - 1/4 = 1/2
Add 1/4 to both sides.
-1/4c = 3/4
Now, multiply by the reciprocal (-4/1).
c = -3
Check your answer.
1/4(3[-3] + 5) + -1/2(2[-3] + 3) = 1/2
1/4(-9 + 5) + -1/2(-6 + 3) = 1/2
-2 1/4 + 1 1/4 + 3 - 1 1/2 = 1/2
-1 + 1 1/12 = 1/2
1/2 = 1/2
1) Distance = speed x time
time = distance/speed
time = 8054/715 = 11.26 hours or 11 h and 15 minutes (0.26 x 60 = 15.6)
2) The mode in a statistical series is the number that is repeated most or in short the highest frequency. In you example we notice that 12 is repeated twice, whereas the others are not repeated. Then the mode is 12.
3) The cost of each game = $17.99, so with his $65 he can buy:
65/17.99 = 3.61 . Obviously he can't buy 0.61 game, then he can buy
only 3 games (3 x 17.99 = $53.97) and keep in his pocket :
65 - 53.97 = $11.03
-16 + 5n = -7(-6 + 8n) + 3 Given
-16 + 5n = 42 - 56n + 3 Distribute
-16 + 5n = 45 - 56n Collect like terms
61n = 61 Add 56n to the left side and add 16 to the right side
n = 1 Divide 61 from both sides
The answer is n = 1. Remember that when you have a number beside two or more numbers in parentheses, you have to distribute, or multiply the number outside the parentheses by each number inside the parentheses.
Hope this helps!
