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marshall27 [118]
3 years ago
12

A bag contains red marbles and black marbles. For every 1 black marble,

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0
There are 101 red marbles.
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Answer the question and explain how did you get the answer. answer number 10.
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Use subtraction to find the lengths of segments WX and XY.

Point W is on (9,3), point X is on (5,3) and point Y is on (5,9), if I'm reading this correctly. 

Point W and point X match with their y-values, so we ignore them. Subtract the x-values, 9 and 5, to get the length. In this case, the length is 4 units. 

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The concession stand at football games sells pizza and drinks. You buy 4 drink and 6 slices of pizza for $6.70. Your friend buys
AfilCa [17]

Answer:

  • drinks: $0.55
  • pizza slices: $0.75

Step-by-step explanation:

Let d represent the cost of a drink, and p represent the cost of a pizza slice. Then the two purchases can be represented by ...

  • 4d +6p = 6.70
  • 3d +4p = 4.65

To solve these equations by elimination, choose a variable to eliminate and look at the coefficients of that in the two equations. If we choose to eliminate p, we see the coefficients of p are 6 and 4. The least common multiple of these numbers is 12. We can multiply the first equation by -2 and the second equation by +3 and the resulting coefficients of p will be -12 and +12. Adding the results of these multiplications will make the p terms add to zero.

  -2(4d +6p) +3(3d +4p) = -2(6.70) +3(4.65)

  -8d -12p +9d +12p = -13.40 +13.95 . . . . . . . . . eliminate parentheses

  d = 0.55 . . . . . . . . . collect terms

Now, we can substitute this value into either equation to find the value of p. Using the first equation, we get ...

  4(0.55) +6p = 6.70

  6p = 4.50 . . . . . . . . . subtract 2.20

  p = 0.75 . . . . . . . . . . divide by 6

The cost of a drink is $0.55; the cost of a slice of pizza is $0.75.

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