The product if a-3 and -2a^2+15a+6b^2 is: 
Step-by-step explanation:
In order to find the product of 2 expressions, distributive property can be used.
Given expressions are:
Product of given expressions
Combining like terms
Hence,
The product if a-3 and -2a^2+15a+6b^2 is:
Keywords: Expressions, product
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Answer:
1. 4 nights
2. $154
Step-by-step explanation:
1. The airfare is a fixed cost, and the cost of staying at the hotel for n nights is 98 * n. So, we add this up: 478 + 93n. This cost can be <em>no more than</em> 850 because that's Jenna's budget limit. So, we have:
478 + 93n ≤ 850
Subtract 478 from both sides:
93n ≤ 372
Divide by 93:
n ≤ 4
The maximum number of nights is 4 nights.
2. Abigail currently has $45 and she needs m more dollars in order to achieve her goal of <em>at least</em> $199. Seeing "at least", we know that we need to use the ≥ sign:
45 + m ≥ 199
Subtract 45 from both sides:
m ≥ 154
Abigail still needs at least $154.
Hope this helps!
Answer:
30
Step-by-step explanation:
- How much was the decrease from Figure A to Figure B (let x be the decrease): 45x = 27
- Divide each by 45 to cancel out the 45 next to x. It should now look like this: x = 3/5
- To find x, we would normally multiply x by 3/5, but because we don't have x, we just DIVIDE 18 by 3/5: 18 ÷ 3/5 = 30
- So, x = 30
I hope this helps!
Answer:
(2)
Step-by-step explanation:
One property of a parallelogram is
• opposite angles are congruent, hence
∠L = ∠N and ∠M = ∠P
Using ∠L = ∠N, then
8x - 41 = 6x + 3 ( subtract 6x from both sides )
2x - 41 = 3 ( add 41 to both sides )
2x = 44 ( divide both sides by 2 )
x = 22
-------------
∠M = 2x + 1 = (2 × 22) + 1 = 44 + 1 = 45°
∠P = ∠M = 45° → (2)
