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Anna [14]
2 years ago
13

Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs

3 laps on a running trail and then runs 8 more miles. On Tuesday and Sunday, she runs 5 laps on the trail and then runs 4 more miles. On Saturday, she just runs laps. How many laps does Lilliana run on Saturday?
Mathematics
1 answer:
iren2701 [21]2 years ago
3 0

Answer:

Letting L = distance per lap

4L + 8 = 6L + 4

2L = 4

L = 2 miles

She runs 16 miles each day

2 miles per Lap = 8 Laps on Saturday

Step-by-step explanation:

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Carmen runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?
shutvik [7]

Answer:

4.2 miles

Step-by-step explanation:

6 miles/50 minutes = x miles/35 minutes

1. Since 5 is the GCF (greatest common factor) of x and 35, that is what the ratio must first be converted into, by dividing by 10: 6/50 = 0.6/5

2. To convert this to 35 minutes, it must be multiplied by 7, because 5 * 7 = 35. This leaves us with the answer:

0.6/5 = 4.2 miles/35 minutes

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3 years ago
What is an equation of the line that passes through the points ( −4 , − 6 ) and (4,4)?
kherson [118]

Answer:

y=5/4x-1

Step-by-step explanation:

-6-4/-4-4 = -10/-8 = 5/4 (slope)

y=5/4x+b

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b=-1

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4 0
3 years ago
Read 2 more answers
Richie spent $120 on 12 rose bushes and 2 gardenias, while Jim spent it $150 on 10 rose bushes and 10 gardenias. What is the cos
Basile [38]
With the given information, we can create several equations:

120 = 12x + 2y
150 = 10x + 10y

With x being the number of rose bushes, and y being the number of gardenias.

To find the values of the variables, we can use two methods: Substitution or Elimination

For this case, let us use elimination. To begin, let's be clear that we are going to be adding these equations together. Therefore, in order to get the value of one variable, we must cancel one of them out - it could be x or y, it doesn't matter which one you decide to cancel out. Let's cancel the x out:

We first need to multiply the equations by numbers that would cause the x's to cancel out - and this can be done as follows:

-10(120 = 12x + 2y)
 12(150 = 10x + 10y) => Notice how one of these is negative

Multiply out:

    -1200 = -120x - 20y
 +  1800 =  120x + 120y          => Add these two equations together
---------------------------------
600 = 100y

Now we can solve for y:

y = 6

With this value of y known, we can then pick an equation from the beginning of the question, and plug y in to solve for x:

120 = 12x + 2y    =>    120 = 12x + 2(6)

Now we can solve for x:

120 = 12x + 12    =>     108 = 12x

x = 9

So now we know that x = 9, and y = 6.

With rose bushes being x, we now know that the cost of 1 rose bush is $9.
With gardenias being y, we now know that the cost of 1 gardenia is $6.  
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What is 2.4166666666666 as a fraction
larisa86 [58]
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