Lauren, Manuel, Nick, Opal, and Pat are forming a group of two to work on a drama production. list the different combinations of students that are possible using the first initial of each name.
Answers
1) LMNOP
2) LNOPM
3) LOPMN
4) LPMNO
5) MLNOP
6) MNOPL
7) MOPLN
8) MPLNO
9) NOPLM
10) NPLMO
11) NLMOP
12) NMOPL
13) OPLMN
14) OLMNP
15) OMNPL
16) ONPLM
17) PLMNO
18) PMNOL
19) PNOLM
20) POLMN
These are all the combinations for the first initials of the first name.
There is 20 possible combinations.
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Answer:
The area is rational because the numbers in the formula are rational.
Step-by-step explanation:
All repeating decimals are still rational because they can be expressed as fractions. For example,
So every recurring decimal must be a fraction.
Also every terminating decimal can be represented as a fraction.
0.25 =
So the area is rational because the numbers are rational.
Area = X Base X Height
Base is Rational and Height is Rational. Hence Area=Rational.
When these rational numbers are substituted into the formula,the area must be rational.
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bro just say its C
Step-by-step explanation:
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you star from 0 and then go up 4 over 1
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it means what Y equals what x is plus 4
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Amy has 7 bricks.
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Sorry but I cannot draw on this. I would if I could.
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The answer is x + 3
Step 1: Expand ( 3x + 3 - 2x )
Step 2: Collect like terms ( (3x - 2x) + 3 )
Step 3: Simplify ( x + 4 )
Let me know if I helped :)
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Answer:
.............
Step-by-step explanation:
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Final answer:
Zac needs to reduce his other expenses by approximately 2.22% to accommodate the increased gas prices while maintaining his total budget.
Explanation:
- Zac initially budgeted $185.00 for gas, which represents 5% of his overall budget. This means his total budget is $3700.00 (since $185.00 is 5% of $3700.00). With the increase in gas prices, he needs to raise the gas budget by $78.00, bringing the total to $263.00. Now, Zac's gas budget becomes about 7% of his total budget.
Therefore, Zac's other expenses need to be reduced to maintain the same overall budget.
- Thus, his non-gas budget was originally $3515.00 (i.e., $3700.00 - $185.00) and now needs to be $3437.00 (i.e., $3700.00 - $263.00).
- The decrease in the non-gas budget is $78.00.
- The percentage decrease of other expenses is the decrease in non-gas budget divided by the original non-gas budget ($78.00/$3515.00), which is approximately 2.22%.
So Zac needs to reduce his other expenses by about 2.22% to accommodate the increased gas prices.
Learn more about percentage decrease here:
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