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zimovet [89]
4 years ago
5

A soccer club spent $97.50 on trophies from a custom trophy company. The cost of manufacturing x custom trophies is $18.50 for t

he setup cost, plus $12.50 per trophy. To ship the trophies, the company charges a standard fee of $4 per order plus $2.50 per trophy. How many trophies did the soccer club order? Show your work and explain your reasoning in the space below.
Mathematics
1 answer:
Tomtit [17]4 years ago
6 0
They bought 5 trophies total

1st trophy cost $37.50
($18.50+$12.50+$4+$2.50=$37.50)
Each additional trophy cost $15
($12.50+$2.50=$15)

They spent $97.50 total
$97.50-$37.50=$60
Additional trophies $15
$15*X=$60
4 trophies=$60+$37.50 for 1st trophy
$60+$37.50=$97.50


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Helen [10]
Solving for A.

STEP 1 ● Add -bx to both sides.
ax^2 + bx + c + -bx = 0 + -bx
ax^2 + c = -bx

STEP 2 ● Add -c to both sides.
ax^2 + c + -c = -bx + -c
ax^2 = -bx -c

STEP 3 ● Divide both sides by x^2
ax^2 / x^2 = -bx -c / x^2
a = -bx -c / x^2

ANSWER ● a = -bx -c / x^2

Hope I helped
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1. Solve the following problem. Show ALL steps to receive full credit.
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3 years ago
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Find the volume of each cylinder. (use nr = 3.14)
alexandr1967 [171]

Answer:

V = 8591.04 ft³

General Formulas and Concepts:

<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>

Volume of a Cylinder: V = πr²h

  • V is volume
  • r is radius
  • h is height

Step-by-step explanation:

<u>Step 1: Identify</u>

Radius <em>r</em> = 12 ft

Height <em>h</em> = 19 ft

<u>Step 2: Find Volume</u>

  1. Substitute in variables [Volume of Cylinder]:                                               V = π(12 ft)²(19 ft)
  2. Evaluate exponents:                                                                                      V = π(144 ft²)(19 ft)
  3. Multiply:                                                                                                           V = 2736π ft³
  4. Substitute π:                                                                                                   V = 2736(3.14) ft³
  5. Multiply:                                                                                                           V = 8591.04 ft³
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<em><u>Answer: </u></em>

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