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lara31 [8.8K]
3 years ago
5

Given the speeds of each runner below, determine who runs the fastest.

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0

Answer:

Debbie runs 9 feet per second: 9 ft/s

Jessica runs 1 mile  in 440 seconds: 414/50 ft/s = 207/25 ft/s = 8 7/25 ft/s

jesssica runs 131 feet in 10 seconds: since 1 mile = 5280 ft we have 1/470 mi/s = 5280/470 ft/s = 528/47 ft/s = 11 11/47 ft/s

ron runs 603 feet in 1 minute: 547 ft/min = 603/60 ft/s = 201/20 ft/s = 10 1/20 ft/s

Since:

11 11/47 > 10 1/20 > 9 > 8 7/25

Emily runs the fastest.

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What is the total amount and the amount of interest earned on $6,500 at 6% for 25 years?
Deffense [45]
Here's the equation for one year:
0.06(6500) + 6500
But because it is 25 years:
25(0.06(6500)) + 6500
1.5(6500) + 6500
We can make it simpler:
2.5(6500)
The total amount is $16350
3 0
3 years ago
Find the 17 th term of each sequence. a₁₆ = 1/5, d= 1/2
Dmitry [639]

7/10 is 17th term of sequence a₁₆ = 1/5, d= 1/2.

Given the 16th term and the common difference, we add the common difference from the 16th term to determine the 17th term:

a₁₇ =  a₁₆ + d

    =  1/5 + 1/2

    = 7/10

<h3>How to solve an equation?</h3>

To solve linear equations, utilize the steps that are provided below.

  1. Remove parentheses from each side of the equation and combine similar terms to make it simpler.
  2. To separate the variable term on one side of the equation, use addition or subtraction.
  3. To find the variable, use division or multiplication.
  4. The common denominator can be multiplied by each side of the equation to eliminate fractions.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

Learn more about  linear equations

brainly.com/question/14323743

#SPJ4

3 0
1 year ago
What is the solution to this equation 6(x-3)=3x+9
Taya2010 [7]

Your answer would be x = 9.

We can get this by first expanding the bracket 6(x - 3) and then solving:

6(x - 3) = 3x + 9

6x - 18 = 3x + 9

- 3x

3x - 18 = 9

+ 18

3x = 27

÷ 3

x = 9

I hope this helps!

3 0
3 years ago
Prove this theorem indirectly.
vladimir2022 [97]
Triangles have three sides. Of which, the angles inside add up to 180°. Now if two angles were 90° there would be no third angle. Meaning this object would just be an open shape.
3 0
3 years ago
What is the volume of the triangular prism below?
photoshop1234 [79]
The correct answer should be B
3 0
3 years ago
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