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Margarita [4]
3 years ago
7

Tom and Diane start to race.Tom took 4 seconds to run 6 yards.Diane ran 5 yards in 3 seconds. If they continued to run at the sa

me speeds,who would get to 30 yards first? Show how you figured out. Who runs faster? How can you compare their speeds?
Mathematics
1 answer:
sergiy2304 [10]3 years ago
8 0
\frac{4}{6}= \frac{t}{30}   \\  \\ 120=6t \\  \\ 20=t

It would take Tom 20 seconds.

\frac{3}{5}= \frac{d}{30}   \\  \\ 90=5d \\  \\ d=18

It would take Diane 18 seconds.

Diane would get to 30 yards first.

You can compare their speeds by finding the unit rate. To do this, you have to divide the yards by the seconds.

\frac{6}{4}=1.5 \\  \\  \frac{5}{3}= 1.67

Tom can run 1.5 yards in 1 second and Diane can run 1.67 yards in 1 second.

Diane runs faster.
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1) Find the missing side. Give your<br> answer in simplest radical form.
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Answer:

x = 4√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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  7. Subtraction
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  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

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Step-by-step explanation:

<u>Step 1: Define</u>

Leg <em>a</em> = 8

Leg <em>b</em> = 4

Hypotenuse <em>c</em> = <em>x</em>

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                            8² + 4² = x²
  2. Evaluate exponents:                                                                                         64 + 16 = x²
  3. Add:                                                                                                                   80 = x²
  4. [Equality Property] Square root both sides:                                                    √80 = x
  5. Rewrite:                                                                                                             x = √80
  6. Simplify:                                                                                                             x = 4√5
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2 years ago
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