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umka21 [38]
3 years ago
15

A red horse and a black horse raced on a 1-mile-long circular racetrack. The red horse completed the race in 120 seconds, and th

e black horse completed the race in 150 seconds. Which choice correctly describes the speed of the horses?
Mathematics
1 answer:
galben [10]3 years ago
5 0

Answer: The speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.

Step-by-step explanation:

Given: A red horse and a black horse raced on a 1-mile-long circular racetrack.

Time taken by red horse = 120 seconds

Time taken by black horse = 150 seconds

Speed = \dfrac{Distance}{Time}

So, speed of red horse =\dfrac{1}{120}\text{ mile per second}

Since 1 mile = 5280 feet

Speed of red horse = \dfrac{5280}{120} =44\text{ feet per second}

Similarly,

Speed of black horse = \dfrac{5280}{150} =35.2\text{ feet per second}

Hence, the speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.

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\frac{1}{10} \times 200 = 20

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7 0
3 years ago
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Any awnsers will give brainless
DedPeter [7]

For the first, simply plug in the value of x given (x = 2) into the equation: \left\frac{3}{4}x^2 + 5\right.|_{x=2} = \frac{3}{4}\left ( 2^2 \right )+5 = 8.

So, 8 would be your answer.

For the second, the sum of x and 2 would be expressed as x + 2. Twice this sum would be written as 2(x+2). Finally, 8 less than twice that sum would be written as 2(x+2) - 8, which would be your expression.

For the last question, the coefficient refers to the number directly in front of the variable, x. So you need only to check what the x would simplify to in each equation and look for the expression where x has no coefficient (i.e., its coefficient is 1). For Hunter, the coefficient would be 15 (5 × 3x = 15x); for Michael, the coefficient would be 11 (6x + 5x = 11x); for Nate, the coefficient would be 1 (x = 1x); and for Spencer, the coefficient would be 2 (2x = 2x). Thus, Nate's expression has a coefficient of 1 when simplified.

3 0
2 years ago
Pls help me on number 2 I will mark brainliest
viktelen [127]

Answer:

A

Step-by-step explanation:

7 0
2 years ago
Please help. I will give Brainliest! I pinky promise! Please refer to all 3 pictures attached!
emmainna [20.7K]

Answer:

Step-by-step explanation:

B. the vertex is (-6,-2)

C. 1

D. X= -6  Y=  -1

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6 0
2 years ago
I need help 2(4+2x)≥5x+5
timofeeve [1]

Answer:

x ≤ 3

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  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2(4 + 2x) ≥ 5x + 5

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

  1. [Distributive Property] Distribute 2:                                                                 8 + 4x ≥ 5x + 5
  2. [Subtraction Property of Equality] Subtract 5x on both sides:                       8 - x ≥ 5
  3. [Subtraction Property of Equality] Subtract 8 on both sides:                        -x ≥ -3
  4. [Division Property of Equality] Divide -1 on both sides:                                 x ≤ 3
5 0
2 years ago
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