To find which point is NOT on the line y = 5x + 1, we just need to plug each point into equation y=5x+1 to see which one point satisfies this equation.
check for (1,6)
y=5x+1
or 6=5*1+1
or 6=5+1
or 6=6
Which is TRUE.
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check for (2,11)
y=5x+1
or 11=5*2+1
or 11=10+1
or 11=11
Which is TRUE.
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check for (0,1)
y=5x+1
or 1=5*0+1
or 1=0+1
or 1=1
Which is TRUE.
--------
check for (-1,6)
y=5x+1
or 6=5*(-1)+1
or 6=-5+1
or 6=-4
Which is FALSE.
--------
Since only point (-1,6) fails to satisfy the given equation hence point (-1,6) is the final answer.
Answer:
C. 1.15<em>x</em> because adding 15% to the cost of the haircut is the same as multiplying the cost by 1.15.
Step-by-step explanation:
This answer is correct because, adding 0.15x (or 15%) to the total amount is the same as multiplying the cost by 1.15. This is because, the 1 that is added to 0.15 represents the total, since we are just multiplying instead of adding to it.
Hope this helps! :D
1.) Number of Total People = 1387
In Figure 1, Red boxes represent "<span>Teens" which is 10 in number whereas Blue boxes represent "Adults".
1 box contains = 1387/19 = 73
Number of Teens = 73 * 10 = 730
<span>
In short, Your Final Answer would be: 730 </span></span>
2.) Number of Total Chocolates = 1440
In Figure 2, Red boxes represent "<span>Chocolate flavor ice-cream" which is 6 in number whereas Blue boxes represent "Vanila".
1 box contains = 1440/15 = 96
Number of Chocolate Ice-creams = 96 * 6 = 576
<span>
In short, Your Final Answer would be: 576</span></span>
3.) Number of Total Sodas = 576
In Figure 3, Red boxes represent "<span>diet sodas" which is 5 in number whereas Blue boxes represent "Regular sodas".
1 box contains = 576/12 = 48 sodas
Number of diet cokes = 48 * 5 = 240
<span>I
n short, Your Final Answer would be: 240 Hope this helps!</span></span>
Answer:
C. 3.4
Step-by-step explanation:
We need to find expected value, which is essentially the value that we expect to get based on the amount of each "thing" at hand.
Here, we have 4 multiple-choice questions worth 3 points each and 2 true/false questions worth 1 point each. Each multiple-choice question has 5 possible answers, so the probability that you get that multiple-choice question correct is 1/5. Similarly, each true/false question has 2 possible answers, so the probability that you get that question right is 1/2.
Expected value, denoted by E(x), has the formula:
E(x) = ∑ xp(x), where x is the number of points you get per problem here and p(x) is the probability of getting the problem correct
E(x) = 4 * 3 * (1/5) + 2 * 1 * (1/2) = 12/5 + 1 = 17/5 = 3.4.
The answer is thus C.
Answer:
35 bagels
Step-by-step explanation:
Duh