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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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Leviafan [203]
√(x + 9) - 4 = 1
√(x + 9) - 4 (+4) = 1 (+4)
√(x + 9)(²) = 5(²)
x + 9(-9) = 25(-9)
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hope this helps

6 0
3 years ago
Can you answer this quickly please
Citrus2011 [14]

Answer:

Question 5.

a) 118°

b) 131°

Step-by-step explanation:

<u>Part a:</u>

I'm sorry I find it tricky to explain this, you would get more confused than you are now.

<u>Part b:</u>

All four interior angles of a quadrilateral are equal to 360° so

75°+ 86°+ 68°+m°= 360°

229° +m° = 360°

m°= 360°-229°

m°= 131°

<h2 />

3 0
2 years ago
Multiply. write the product in lowest terms. (2/3) (- 5/7)
Arturiano [62]
-10/21
2×-5=-10
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8 0
3 years ago
Lengths of segments
mina [271]

Answer:

Triangles:

10 m, 21 m, 29 m

10 m, 29 m, 37 m

Not triangles:

10 m, 14 m, 29 m

10 m, 29 m, 40 m

Step-by-step explanation:

For a triangle to exist, the sum of any two sides of a triangle must be greater than that of the third side.

Let us check each of the options.

Option 1: 10 m, 14 m, 29 m

The sum of lengths 10 m and 14 m must be greater than 29 m.

10 + 14 = 24 < 29

So, this is not a triangle.

Option 2: 10 m, 21 m, 29 m

10 + 21 = 31 > 29

21 + 29 = 50 > 10

29 + 10 = 39 > 21

Therefore, it is a triangle.

Option 3: 10 m, 29 m, 37 m

10 + 29 = 39 > 37

29 + 37 = 66 > 10

37 + 10 = 47 > 29

Therefore, it is a triangle.

Option 4: 10 m, 29 m, 40 m

10 + 29 =39 < 40

So, this is not a triangle.

4 0
3 years ago
A farmer recently sold a large plot of land. The sale decreased his total acreage by 10%.
ivanzaharov [21]

Answer: t - 0.1t and 0.9t

Step-by-step explanation:

Let the original acreage be represented by t.

Since there was a sale which ended up reducing the acreage by 10%, the expression for the new acreage will be:

= t - (10% × t)

= t - (0.1 × t)

= t - 0.1t

= 0.9t

Therefore, the equivalent expressions will be "t - 0.1t" and 0.9t

8 0
2 years ago
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