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Galina-37 [17]
3 years ago
8

2 Points

Mathematics
1 answer:
LiRa [457]3 years ago
5 0

Answer:

A. a = $3, p = $6

Step-by-step explanation:

Let the cost of a bucket of apple=a

Let the cost of a bucket of peaches=p

6 buckets of apples and 4 buckets of peaches costs $42.

  • 6a+4p=42

8 buckets of apples and 2 buckets of peaches costs $36.

  • 8a+2p=36   (Multiply by 2 to make the coefficient of p 4)
  • 16a+4p=72

We solve the two resulting equations simultaneously

6a+4p=42

16a+4p=72

Subtract

-10a=-30

Divide both sides by -10

a=$3

Next, we substitute a=$3 in any of the equation to solve for p

6a+4p=42

6(3)+4p=42

4p=42-6(3)

4p=42-18

4p=24

Divide both sides by 4

p=$6

Therefore, a bucket of apple costs $3 and a bucket of peaches costs $6.

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Very easy math question
charle [14.2K]

Answer:

C. 179 ft²

Step-by-step explanation:

Area of circular path or walkway

= π × (R + r) × width

Where

R= Outer radius

r = Inner Radius

Diameter = 16 feet

Width = 3 feet

Inner Radius = Diameter/2

= 16 feet/2 = 8 feet

Outer Radius = 8 + 3 = 11 ft

Hence:

= π × (11 + 8) × 3

= π × 19 × 3

= 179.07078125 ft²

Approximately = 179 ft²

The area of the circular walkway = 179ft²

Option C is correct.

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3 years ago
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Identify the variables, the constant, the coefficients, and the exponents in the algebraic
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Variables: x and y
Coefficients: 5 and 2
Constants: 4
Exponents: 2 (if 3y is being squared)
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3 years ago
Find the mean absolute deviation of the data. {83,73, 83,59, 24}
Alina [70]
18.32-is-your-answer,because-when-subtracting-the \\ mean-you-take-the-absolute-value.
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Given (21,7) and (x,<br> 1), find all x such that the distance between these two points is 17.
Dmitriy789 [7]

Answer:

21+/-sqrt(253)=x

So one value for x is 21+sqrt(253)

and another is 21-sqrt(253)

Problem:

Given (21,7) and (x,1), find all x such that the distance between these two points is 17.

Step-by-step explanation:

Change in x is x-21

Change in y is 7-1=6

distance^2=(change in x)^2+(change in y)^2

17^2=(x-21)^2+(6)^2

289=(x-21)^2+36

Subtract 36 on both sides:

289-36=(x-21)^2

253=(x-21)^2

Take square root of both sides:

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Add 21 on both sides:

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