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sladkih
1 month ago
6

Peter mixes 4 1/2 cups of orange juice, 2 1/4 of ginger ale and 6 1/3 cups of strawberry lemonade to make some punch. What is th

e total number of the cups of punch that peter makes
Mathematics
1 answer:
zzz [12.3K]1 month ago
8 0
To combine these quantities, we first need to determine their least common multiple, enabling us to have matching denominators, since adding fractions requires this.

Let's identify some multiples for each.
For this, increment by each respective denominator:
4 1/2 (denominator is 2): 2 4 6 8 10 12 14
2 1/4 (denominator is 4): 4 8 12 16
6 1/3 (denominator is 3): 3 6 9 12 15

Next, identify the lowest common multiple among all three denominators. For clarity, circle these. In this instance, the number is 12.

Next, we need to scale each denominator to reach 12, applying the same multiplier to the respective numerator:

4 1/2 (multiplied by 6 for both top and bottom) =
4 6/12

2 1/4 (multiplied by 3) = 2 3/12

6 1/3 (multiplied by 4) = 6 4/12

Now, sum these fractions to arrive at 12 13/12, which simplifies to 13 1/12.

Therefore, Peter has prepared a total of 13 1/2 cups.

I hope this clarifies things! Please let me know if anything is unclear or if some part seems incorrect!:))
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Kevin wanted to go snowboarding for his vacation. Explain how he could make his decision regarding whether to go to Resort A or
lawyer [12517]

Response:

Resort A experiences a more uniform snowfall, indicating less fluctuation. In contrast, Resort B has a greater median snowfall and a higher interquartile range, making it likely for Kevin to encounter better snowfall conditions there.

Thanks:) I just completed it edg

Detailed explanation:

5 0
1 month ago
Read 2 more answers
On a track and field team, 8% of the members run only long-distance, 32% compete only in field events, and 12% are sprinters onl
lawyer [12517]

Answer:

0.40

Step-by-step explanation:

The percentage of members who engage only in long-distance running is 8%

Therefore, the probability that a member focuses solely on long-distance running is P(A) = 0.08

The percentage of members who participate exclusively in field events is 32%

Thus, the probability of a member competing only in field events is P(B) = 0.32

The percentage of members acting as sprinters is 12%

So, the probability that a member is a sprinter is P(C) = 0.12

We need to determine the probability that a team member is either an exclusive long-distance runner or an only field event competitor, which equates to finding P(A or B). Since these two events cannot occur simultaneously, we can express this as:

P(A or B) = P(A) + P(B)

Substituting the known values results in:

P(A or B) = 0.08 + 0.32 = 0.40

Thus, the likelihood that a randomly selected team member runs exclusively long-distance or participates solely in field events stands at 0.40

7 0
13 days ago
Hospital sends an invoice to a patient. The patient schedules a payment plan in which she makes an initial payment of $1,451 the
lawyer [12517]
In the first month, she made a payment of $1451

In the second month, she paid one-third of that, which amounts to:
1451/3 = 483.66

For the third month, she pays one-third of 483.66 as indicated, meaning she takes one-third of the prior month's payment.

483.66/3 = 161.22

In the fourth month, her payment was

161.22/3 = 53.74

Altogether, her total payments amounted to:

$2149.62 - B.

Hope this information is helpful:)
3 0
1 month ago
Read 2 more answers
Set G is the set of positive integers divisible by 4 in set if is the set of perfect squares list the first five elements of set
Inessa [12570]
Set G consists of: G={4, 8, 12, 16, 20, 24, 28, 32, 36,...} Set F represents the perfect squares: F={1, 4, 9, 16, 25, 36, 49, 64, 81, 100...} Within set F, the numbers 4, 16, 36, 64, and 100 are multiples of 4. The result is: {4, 16, 36, 64, 100}.
5 0
1 month ago
Steve and Ed stand next to each other and throw footballs in the air. The path of Steve’s football is described by the equation
tester [12383]
The question clearly seeks the highest values from both functions, meaning the vertices of each.

<span>The graph depicting the path of Ed’s football indicates the vertex's coordinates (the peak of the graph).
</span>
Specifically,

(h,k) = (1.5, 7.5)

Where (h,k) represents the vertex's location.

Conversely,<span>the trajectory of Steve's football is defined by the equation:
y = - 2x
²</span> + 5x + 4<span>To find the axis of symmetry, we use the formula:x = - b
÷ 2a
Where:

a = -2</span>
b = 5

Consequently,

x = - 5 ÷ - 4

x = 5 / 4




x = 1.25
Now substituting this x-value back into the main equation to determine y.
y = - 2x² + 5x + 4

y = - 2(1.25)² + 5(1.25) + 4

y = - 3.125 + 6.25 + 4


y = 7.125


Thus, the vertex (h,k) = (1.25, 7.125)
As observed from the calculations

Ed’s

<span>football attains a higher height.</span>

5 0
14 days ago
Read 2 more answers
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