Step-by-step explanation:
10x² + 11x − 6 = 0
10x² + 15x – 4x – 6 = 0
5x(2x + 3) – 2(2x + 3) = 0
(2x + 3) (5x – 2)
We know that Bob and Caitlyn are playing a trading-card game. Between them, they have 81 cards. <span>Bob has 7 fewer cards than Caitlyn. Since Bob has 7 cards fewer them Caitlyn we have to divide by 2 and subtract 7.
81 / 2 = 40 [rounded]
40 - 7 = cards Bob has
= 33 cards bob has
</span>
Answer:
The percent of increase in height of the stalks is 20%.
Step-by-step explanation:
The general formula for a percent increase is as follows: (Original Amount - New Amount/Original Amount) x 100. The original height of the stalks was 60 inches tall. The new height of the stalks is 72 inches. In the numerator of our fraction, we take 72-60 to get 12. Our denominator is the original amount, or 60. This gives us an overall fraction of 12/60, which when we divide gives us 0.2. Once we multiply our decimal by 100, we get an overall percent increase of 20%.
Answer:
$(80.5x + 69)
Step-by-step Explanation:
Recall, distributive property of multiplication can simply be expressed as follows, x(y + z) = xy + xz or x(y - z). Where x, y, and z could be any number.
Now, let's use the distributive property to show the total costs of plants Gloria decides to buy as an expression and also simplify it.
Thus, Gloria buys:
4 ferns = 4(0.5x - 3) = 4(0.5x) - 4(3) = $(2x - 12)
2 palms = 2(10x - 2.50) = 2(10x) - 2(2.50) = $(20x - 5.00)
10 lilies = 10(5 + 0.25x) = 10(5) + 10(0.25x) = $(50 + 2.5x)
8 shrubs = 8(4.50 + 7x) = 8(4.50) + 8(7x) = $(36 + 56x)
Total cost of the plants = (2x - 12) + (20x - 5) + (50 + 2.5x) + (36+ 56x)
Open the parentheses and then simplify:
Total cost = 2x - 12 + 20x - 5 + 50 + 2.5x + 36 + 56x
= 2x + 20x + 2.5x + 56x - 12 - 5 + 50 + 36
Total cost = $(80.5x + 69)
Answer:
$5.00
Step-by-step explanation:
if you divide $3.00 by 12 you get $0.25 which is what your paying per ounce so all you would have to do once you get how much your paying per ounce is multiply your per ounce number ($0.25) by your total amount of ounces (20) and you then get your answer $5.00. Hope this makes sense!
