Cards = x
Bouquets = y
They spend 2 on each card so 2x and 3.50 for each bouquet so 3.50y add those together to get the total they can spend 2x + 3.50y = 360
Then add the sales together: 6x + 8y = 900
Answer: D. 2x + 3.50y = 360; 6x + 8y = 900
Answer:
flip it around 9/13 reciprocal would be 13/9
Answer:
about 3.9 lbs
Step-by-step explanation:
18 7/9 lbs - 14 7/8 lbs
convert mixed numbers to improper fractions
169/9 - 119/8
convert to common denominator
1352/72 - 1071/72
subtract numerators
281/72
about 3.9 lbs
In expanded form, it would be 9*10 + 5*1 + 4 * 0.1 + 1 * 0.01 + 7 * 0.001. Hope this helps!
Answers:
- C) x = plus/minus 11
- B) No real solutions
- C) Two solutions
- A) One solution
- The value <u> 18 </u> goes in the first blank. The value <u> 17 </u> goes in the second blank.
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Explanations:
- Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
- There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
- The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
- We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
- Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
