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frez [133]
3 years ago
15

Algebra There were 4 times the number of students in fourth grade at the basketball game.How many students attended the basketba

ll game? Write and solve an equation.

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

Answer:

200 students attended the basketball game

Step-by-step explanation:

The complete question in the attached figure

Let

x ------> the number of students in fourth grade

s -----> the number of students at the basketball game

we know that

The number of students at the basketball game is four times the number of students in fourth grade

so

The linear expression is

s=4x -----> equation A

x=50\ students\ in\ fourth\ grade -----> equation B

substitute equation B in equation A and solve for y

s=4(50)

s=200\ students\ at\ the\ basketball\ game

therefore

200 students attended the basketball game

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A line passes through the points (4, 3) and (- 2, 1) . The slope of this line in simplest form is
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Answer:

m=\frac{1}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, 3)

Point (-2, 1)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                     m=\frac{1-3}{-2-4}
  2. Subtract:                        m=\frac{-2}{-6}
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In simplest radical form, what are the solutions to the quadratic equation 6 = x2 - 10/?
pickupchik [31]

Answer:

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Step-by-step explanation:

Given

6 = x^2 - 10x

Required

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x^2 - 10x - 6 = 0

Using the quadratic formula, we have:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

Where

a = 1

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So, we have:

x = \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*(-6)}}{2*1}

x = \frac{10 \± \sqrt{100 +24}}{2*1}

x = \frac{10 \± \sqrt{124}}{2}

Split the roots

x = \frac{10 \± \sqrt{4 * 31}}{2}

Express \sqrt 4 as 2

x = \frac{10 \± 2\sqrt{31}}{2}

Split the fraction

x = \frac{10}{2} \± \frac{2\sqrt{31}}{2}

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