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harkovskaia [24]
3 years ago
15

a nut mixture of peanuts and macadamia nuts at a small fair is $1.00 per pound of peanuts and $3.26 per pound of macadamia nuts.

over the entire day, 131 pounds of the nut mixture were sold for $248.52. If p is the number peanuts and n is the number of macadamia nuts, then the system of equations that model this scenario is
Mathematics
2 answers:
Studentka2010 [4]3 years ago
6 0
This answer seems really hard but just don't overthink it. You pretty much don't have to do any math. It took me forever to do this because I was thinking so hard but i re-read it and the answer was right infront of me.

1.00p + 3.26n = $248.52
Elena-2011 [213]3 years ago
4 0

Answer:

  • n + p = 131
  • 3.26n + 1.00p = 248.52

Step-by-step explanation:

A system of equations refers to having more than one equations to solve more than one variable with.

The first equation is just using the weight of the nuts. Knowing that a total of 131 pounds of nuts were sold, and that the total weight is the sum of the weight of macadamias(n) and peanuts(p):

<em>n + p = 131</em>

The second equation is using the price of the nuts. Knowing that a total $248.52 was made, and that the total is the sum of the money made from macadamias and peanuts:

<em>3.26n + 1.00p = 248.52</em>

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At Prairieview Middle School, 100 students participate in at least one of three after-school clubs: soccer club, art club, and g
Tresset [83]

Answer:

17

Step-by-step explanation:

Number of students in soccer club, n(S) = 50

Number of students in Art club, n(A) = 53

Number of students in Gaming club, n(G)

n(S \cup A\cup G) = 100

n(S \cap A\cap G) = 9

n(S \cap A) = 20

n(A \cap G) = 35

n(G \cap S) = 29

Formula:

n ( A ∪ B ∪ C ) =  n(A) + n(B) + n(C) – n ( A ∩ B ) – n(B ∩ C) – n (A ∩ C) + n( A ∩ B ∩ C )

Putting the values:

100 = 50 + 53 + n(G) - 20 - 35 - 29 + 9

100 = 112 + n(G) - 84

n(G) = 72

Number of students in gaming club only = n(G) - n(G \cap S) - n(A \cap G) + n(S \cap A\cap G)

= 72 - 35 - 29 + 9

= <em>17</em>

6 0
3 years ago
Find the median of the following data 20,14,6,25,18,13,19,10,9,12
vivado [14]

Step-by-step explanation:

1. Arrange all the numbers in ascending order.

2. Since there are 10 numbers, there will be 2 numbers in the middle, add those two middle numbers and divide by 2.

3. The result is your answer.

5 0
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Q1) If Q is directly proportional to P and Q = 28 when P = 4, (i) express Q in terms of P, (ii) find the value of Q when P = 5,
marysya [2.9K]

Answer:

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ii) Q= 35

iii) P= 6

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Q3) B=4

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=4x%5E%7B0%7D%20x16x%5E%7B0%7D" id="TexFormula1" title="4x^{0} x16x^{0}" alt="4x^{0} x16x^{0}"
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Answer:

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Step-by-step explanation:

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8 0
2 years ago
Please answer asap if u know the answer!!!! completing a square. thank you!!!!
Tema [17]

Answer:

D

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form using the method of completing the square.

Given

f(x) = 3x² - 24x + 10

We require the coefficient of the x² term to be 1 , thus factor out 3

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3 years ago
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