Answer:
The only possible answer that is correct is the first one, x = -4.
Step-by-step explanation:
Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.
9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.
Simplifying further, we get x < - 3. The only possible answer that is correct is the first one, x = -4. -4 < -3 is true.
Steps:
1: p=0.2
2: n = 17
3: n*p= 17*0.2=3.4
Description:
The person will spend less than 20 or o.2 as seen in the question. Meaning p will equal 0.2. P for probability. Now n is for number. n will equal 17. And then we have to times all the number. N times P will equal 17 then times it by 0.2= Answer will come as 3.4.
Answer: 3.4
The correct answer for this question is 3.4
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<em><u>Hope this helps.</u></em>
Hello! The formula for simple interest is prt. That means you multiply the principal (initial amount) by the rate (simple interest percentage), by the amount of time (could be in months or years). So, the loan is $3,750 and the rate is 8.25% for 9 months. 9 months is 3/4 of the year, because there are 12 months in 1 year and 9/12 is 0.75. Let's multiply. 3,750 * 8.25% (0.0825) is 309.375 Now, multiply that number by 0.75 to get 232.03125 or 232.03 when rounded to the nearest hundredth (cent). The amount of simple interest is $232.03.
Answer:
<u><em>Similarity:</em></u>
In Both cosine and sine graphs, a positive and negative number vertically flips the graph and tells whether the graph starts at maximum (positive) or minimum (negative).
<u><em>Difference:</em></u>
The difference between the sine and the cosine graph is the point where they start.
The graph of positive cosine starts at the maximum while that of the negative cosine starts at the minimum.
The graph of a positive sine starts at the middle, goes up and then down while that of the negative sine starts at the middle goes down and then up.
Answer:
11 of 20p, 22 of 10p and 33 of 5p
Step-by-step explanation:
Eva has 20p, 10p and 5p coins, total of £6.05 = 605p
Let 20p=x, 10p=y, 5p=z
<u>Then</u>:
- 20x + 10y + 5z = 605
- y : x = 2 : 1 ⇒ x= y/2
- y : z = 2 : 3 ⇒ z= 3y/2
<u>Rewriting the first equation considering next two:</u>
- 10y + 10y + 7.5y = 605
- 27.5y = 605
- y= 605/27.5
- y= 22
- x= y/2 = 22/2 = 11
- z = 3y/2 = 3*11 = 33
<u>Answer:</u> 11 of 20p coins, 22 of 10p coins and 33 of 5p coins
