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il63 [147K]
4 years ago
11

3. Find the value of X 11x-2 19x+3 9x+1 PLEASE LOOK AT PICTURE

Mathematics
1 answer:
Mila [183]4 years ago
5 0

Answer:

x=4

Step-by-step explanation:

1) first write it down --> 11x-2+9x+1=19x+3

2) then combine like terms on the left side of the equation. --> 20x-1=19x+3

3) Then subract 19x on both sides --> x-1=3

4) After add 1 to both sides --> x=4

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The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f
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The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

Step-by-step explanation:

  • Direct proportion means that two quantities increase or decrease in the same ratio
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∵ The stopping distance d of an automobile is directly

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- That means d ∝ s²

∴  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

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- Change the mile to feet

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∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour

∵  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

- Substitute the values of d_{1} by 75 feet, s_{1} by 158400 feet/hour

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∴ \frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}

∴  \frac{75}{d_{2}}=\frac{25}{64}

- By using cross multiplication

∴ 25 × d_{2} = 75 × 64

- Divide both sides by 25

∴ d_{2}  = 192 feet

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Step-by-step explanation:

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