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alexdok [17]
2 years ago
13

Nora made 3 gallons of lemonade.

Mathematics
2 answers:
denis23 [38]2 years ago
8 0

Answer:

B. 3 * 4 * 2

Step-by-step explanation:

<u><em>Given</em></u>

Size of lemonade = 3 gallons

Number of pint = ?

To solve this question, we have to convert 3 gallon to its equivalence in pints

First, it should be noted that, from the standard rate of conversion

1 gallon is equivalent to 8 pints;

i,e.

1 gallon = 8 pints.

If the above statement is true, then we get the corresponding value of 3 pints by multiplying 3 to both sides of the equation

3 * 1 gallon = 3 * 8 pints

3 gallons = 3 * 8 pints (<em>Expanding </em><em>8</em><em> in terms of 2's)</em>

3 gallons = 3 * 2 * 2 * 2 pints (Multiply 2 by 2)

3 gallons = 3 * 4 * 2 pints

Hence, the number of pints that correspond to 3 gallons of lemonade made by Nora is 3 * 4 * 2

weqwewe [10]2 years ago
3 0
Answer is b



Expiation
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The probability comes out to be 9/32.

Deducing Arrival Time Possibility

All the possible arrival times by Alice and Bob, in minutes after 5 PM, is constrained by the values of given values of x and y,

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Here, let the values of x represent how many minutes after 5 PM Alice arrives at the party.

Let the y values represent the time in minutes that Bob arrives at the party after 5 PM.

Calculating the Required Probability

The times that concern us, however, are obtained by the following probability function,

x + y ≤ 45.

And x = 0, y = 0, and x + y ≤ 45 define the constraints of this probability function. Thus the perimeter of such a graph will be given as,

(45² / 2) = 1012.5 square units

Since the total area of the various arrival times is 60 x 60, or 3600 square units, the probability that Alice and Bob will arrive together after 5 o'clock in the evening in less than 45 minutes is therefore = 1012.5 / 3600 = 9/32

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2 years ago
Which math sentence can be used to determine if this triangle is a right triangle?
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Answer:

12^2 + 15^2 = 18^2

Step-by-step explanation:

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3 years ago
A dealer offers a $35,000 car with a downpayment of $3,000 and 65 easy monthly payments of $539.99. How much monthly interest ra
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9.68%

Step-by-step explanation:

cost of car = $35,000

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total monthly payment= 65×539.99= 35099.35

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2 years ago
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3 years ago
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Which equation could generate the curve in the graph below
Setler79 [48]
The curve has been attached and the answer choices are:

y = 3x² – 2x + 1

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</span>
The attached graph has a vertex in the first quadrant. Therefore, the coordinates of the vertex would be both positive.

Let's start with first equation:

                                               y = 3x² – 2x + 1

using the equation of axis:
                                            x = -b/2a
                                            x = 2/6
                                            x = 1/3
SUbstituting the value of x in the main equation to get the y-coordinate of the vertex.
                                               y = 3(1/3)² – 2(1/3) + 1
                                               y = 3/9 – 2/3 + 1
                                               y = 1/3 – 2/3 + 1
                                               y = (1 - 2 + 3)/3
                                               y = 2/3

Hence, the vertex would be:
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Also, the leading coefficient is positive, so the parabola would be concave up.

Thus the final answer choice will be:

                                             y = 3x² – 2x + 1

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