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telo118 [61]
3 years ago
5

Jordan and her family enter a race around a track. Jordan take 10 minutes to run a lap, her sister 12 minutes and Katie 20 minut

es. If they race together for 60 minutes how many times will they meet at the starting line together during the race
Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0
They will be finished at 6:56
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Find the 8th term of the geometric sequence 10,-40, 160, ...
Mars2501 [29]

Answer:

-163,840

Step-by-step explanation:

Because the pattern is -4 you just multiply it through until you get to the 8th term. ;)

5 0
3 years ago
20% of the size of the side angle​
den301095 [7]
Can you explain your question?
8 0
2 years ago
Solve the system using substitution.<br> y - 3x = 1<br> 2y - x = 12<br> ([?], [])
anyanavicka [17]

Answer:

(2, 5)

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

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y - 3x = 1

2y - x = 12

<u>Step 2: Rewrite Systems</u>

y - 3x = 1

  1. Add 3x on both sides:                    y = 3x + 1

<u>Step 3: Redefine Systems</u>

y = 3x + 1

2y - x = 12

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    2(3x + 1) - x = 12
  2. Distribute 2:                         6x + 2 - x = 12
  3. Combine like terms:           5x + 2 = 12
  4. Isolate <em>x</em> term:                     5x = 10
  5. Isolate <em>x</em>:                              x = 2

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    2y - x = 12
  2. Substitute in <em>x</em>:                       2y - 2 = 12
  3. Isolate <em>y </em>term:                        2y = 10
  4. Isolate <em>y</em>:                                 y = 5
4 0
2 years ago
1. A right triangle is shown below. Use the Pythagorean Theorem to determine the lengths of each side. Phythagorean Theorem: a2
erik [133]
This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
L = 25
Total = 4x^2 + 20x + 25

(x + 3)(x + 3) = x^2 + 6x + 9 by the same method

 (2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.

4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
5x^2 + 26x + 34 = 4x^2 + 28x + 49 Collect everything on the left.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x + 3 will have no meaning.
x - 5 = 0
x = 5

2x + 5 = 2*5 + 5 = 15
x + 3 = 5 + 3 = 8
2x+ 7 = 2*5 +7 = 17

Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289

a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer
 


5 0
3 years ago
What is log6^e f rewritten using the power property?
marishachu [46]

Given expression : log_6e^f ..

We need to apply power property of logs to rewrite it.

According to log rule of exponents:

log_b a^n = n log_b(a)

If we compare given expression with the rule the exponent part is f, base is 6.

Therefore, we need to bring exponent f in front of log.

Therefore, log_6e^f  = flog_6 e.

<h3>And correct option is second option flog_6 e.</h3>
4 0
3 years ago
Read 2 more answers
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