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Studentka2010 [4]
3 years ago
7

Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hou

rs. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Mathematics
2 answers:
EleoNora [17]3 years ago
8 0

Answer:

The answer is y = 13

y = 5.5x + 2

x = 2

(5.5 * 2) + 2

(11) + 2 = Y or 13

Elodia [21]3 years ago
5 0

Answer:

C

Step-by-step explanation:

y = 5x + 3

y = 5.5x + 2

0.5x = 1

x = 2

y = 13

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Circle R has a radius of 6 inches. Points S, T, and U lie on circle R, clockwise in alphabetical order. If m∠TRS = 98°, what is
Alecsey [184]
<span>You are given circle R that has a radius of 6 inches. And then you are given points S, T, and U that lie on circle R, clockwise in alphabetical order. Also you are given m∠TRS = 98°and you are asked to find the m∠TUS. To solve this, you have to draw the circle first.

Draw a circle with R being a point at the center of it. Then place the points S, T and U around the circle. So that would mean any point, S, T and U that connects on R would have a value of 6 inches. Also, these are your radius.

You also know that m</span>∠TRS = 98°. You know that the circle, if you will base your angle from the center or its interior angle is just equal to 360°. To get the m∠TUS, subtract 360 to 98.

360° - 98° = 262°
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6 0
3 years ago
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Maria has three red dresses, 2 white dresses, and one blue dress . What is the probability she will wear a blue dress at her par
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Answer:

1/6

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there are 6 dresses altogether and 1 blue dress.

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The graph above represents the following polynomial function.
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Answer:

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Step-by-step explanation:

Note: There is no graph. I assume you mean "zeroes/roots" by "solutions".

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/(x^2-2x-3)

x=0


x^2-2x-3 = x^2+x-3x-3 = x(x+1) + ( -3(x+1) = (x-3)(x+1)

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5 0
3 years ago
3t + 7 = 2 +5t , then find the value of t.​
n200080 [17]

Answer:

t = 5/2

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

3t + 7 = 2 + 5t

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

  1. [Subtraction Property of Equality] Isolate <em>t</em> terms:                                        7 = 2 + 2t
  2. [Subtraction Property of Equality] Isolate <em>t</em> term:                                         5 = 2t
  3. [Division Property of Equality] Isolate <em>t</em>:                                                        5/2 = t
  4. Rewrite:                                                                                                             t = 5/2
6 0
3 years ago
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