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Answer:</h3>
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Step-by-step explanation:</h3>
Q1. Flip counts numbers that are in the sequence ...
777 - 8n . . . . . for some positive integer n
This expression can be factored as ...
8(97 -n) +1
which is to say that the numbers in Flip's sequence are 1 more than a multiple of 8. The number among the answer choices that matches that description is ...
129 = 16·8 +1 . . . . . corresponding to 97-n = 16, or n = 81
Flip counted the number 129.
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Q2. Let a and p represent the costs of an apple and a pear, respectively. Then we have ...
Substituting the expression for "a" in the second equation into the first equation, we get
5(p +0.15) = 6p
5p + 0.75 = 6p
0.75 = p
Then 12p = 12·$0.75 = $9.00 is the cost of 6 pears and 5 apples (since 5 apples cost the same as 6 pears).
The cost of interest is $9.00.
Answer:
24: x = 31
25: x = 15
Step-by-step explanation:
Remark
24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation
25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation
Twenty Four
3x + 31 +2x - 6 = 180 Collect the like terms
3x +2x + 31 - 6 = 180 Do the adding and subtracting.
5x + 25 = 180 Subtract 25 from both sides
5x + 25 - 25 = 180 - 25
5x = 155 Divide by 5
x = 155/5
x = 31
Check
3x + 31 = 3*31 + 31
3x + 31 = 93 + 31
3x + 31 = 124
2x - 6 = 2*31 - 6 = 62 - 6 = 56
Total 124 + 56 = 180 as it should.
Twenty Five
Equation
3x+ 4x - 15 = 90
Solution
7x - 15 = 90 Like terms have been collected on the left.
7x = 90 + 15 15 was added to both sides
7x = 105 Divide by 7
x = 15 I'll leave the check to you
The answer for your problem is 1/3
Answer:
I think it's 65
Step-by-step explanation:
15*10= 150