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Brilliant_brown [7]
3 years ago
9

The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship b

etween the mass and the volume of the pieces of metal.
MASS (grams)            VOLUME (cubic cm.)
34.932                               4.1
47.712                              5.6
61.344                              7.2
99.684                              11.7
Mathematics
1 answer:
galben [10]3 years ago
8 0
In effect, there is a proportional relationship between the mass and the volume of the pieces of metal. The equation of the line that adapts to the given data is given by: y = 0.1174x. Therefore the proportionality constant is 0.1174
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The diameter of a circle measures 28 mm. What is the circumference of the circle?
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Answer:

C = 87.92 mm

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Circumference Formula: C = πd

  • <em>C</em> is circumference
  • <em>d</em> is diameter

Step-by-step explanation:

<u>Step 1: Define</u>

Diameter <em>d</em> = 28 mm

<u>Step 2: Solve</u>

  1. Substitute in variables [Circumference Formula]:                                          C = 3.14(28 mm)
  2. [Circumference] Multiply:                                                                                 C = 87.92 mm
8 0
3 years ago
At a regional soccer​ tournament, tickets for two adults and seven students cost ​$60. Tickets for three adults and eleven stude
den301095 [7]

Answer:

The price of an adult ticket is $9 and the price of a student ticket is $6

Step-by-step explanation:

Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:

2x + 7y = 60

3x + 11y = 93

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:

6x + 21y = 180

-6x - 22y = -186

Add them together:

-y = -6

y = 6

Then, plug in 6 as y into one of the equations to solve for x:

2x + 7y = 60

2x + 7(6) = 60

2x + 42 = 60

2x = 18

x = 9

So, the price of an adult ticket is $9 and the price of a student ticket is $6

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3 years ago
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Pavlova-9 [17]
-13x=78
-13x/-13=78/-13
Answers: X=-6
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3 years ago
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Answer:

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Step-by-step explanation:

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The solution is in the attachment

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