harrison is playing a board game that has a path of 100 space. after his first turn,he is 1/5 of the way along the spaces. on his second turn, hemoves1/4 fewer spaces than he moved on his first turn. on his third turn, he moves 1 1/4 times as many spaces than he moved on his first turn. what space is he on after three turns.
Answers
The Space after three turns is 60.
- The calculation is as follows;
The board is 100 spaces.
His first turn he moves 1/5 of the spaces
So, 1/5 of 10 = 20 spaces.
Now
His second turn he moves 1/4 fewer spaces.
This means he moves 1-1/4 = 3/4 of the spaces he did in the first turn.
Now 3/4 of 20 = 15 spaces.
Now
His third turn he moves 1 1/4 times the number of spaces he did the first turn.
= 1 1/4
= 1 + 1/4
= 4/4 + 1/4
= 5/4;
Now
5/4 of 20
= 25 spaces.
So, overall it should be
= 20+15+25
= 60 spaces.
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The correct answer is:
Space 60.
Explanation:
The board is 100 spaces.
His first turn he moves 1/5 of the spaces; 1/5 of 100 = 1/5(100) = 1/5(100/1) = 100/5 = 20 spaces.
His second turn he moves 1/4 fewer spaces. This means he moves 1-1/4 = 3/4 of the spaces he did in the first turn. 3/4 of 20 = 3/4(20) = 3/4(20/1) = 60/4 = 15 spaces.
His third turn he moves 1 1/4 times the number of spaces he did the first turn.
1 1/4 = 1 + 1/4 = 4/4 + 1/4 = 5/4; 5/4 of 20 = 5/4(20) = 5/4(20/1) = 100/4 = 25 spaces.
Altogether he has moved 20+15+25 = 60 spaces.
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The amount paid for first place pay when second place pays $36 is $60.
Given
First and second place in a contest uses a ratio to share a cash prize.
When first place pays $100, second place pays $60.
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The quantitative relation between two amounts shows the number of times one value contains or is contained within the other:
Let, x be the amount paid in the first place when the second-place pays.
Then,
Hence, the amount paid for first place pay when second place pays $36 is $60.
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Answer:
Step-by-step explanation:
Using a proportion
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Let x be the number of packs of paper.
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See below
Step-by-step explanation:
2x+4 / x^2-x-6
= 2(x+2)/(x-3)(x+2)
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Answer:
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Step-by-step explanation:
Step 1:
8 - 1/3x = 16 Equation
Step 2:
- 1/3x = 8 Subtract 8 on both sides
Step 3:
x = 8 ÷ - 1/3 Divide
Step 4:
x = 8 × - 3 Multiply
Answer:
x = - 24
Hope This Helps :)
The solution to the equation 8 - (1/3)x = 16 is x = -24.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Given equation 8 - (1/3)x = 16
1. Begin by isolating the term with the variable, (1/3)x,
by subtracting 8 from both sides of the equation:
8 - 8 - (1/3)x = 16 - 8
-(1/3)x = 8
2. Next, multiply both sides of the equation by -3 to eliminate the fraction:
-3 * (-(1/3)x) = -3 * 8
x = -24
Therefore, the solution is x = -24.
Learn more about Equation here:
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