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lina2011 [118]
1 year ago
9

The first number in a pattern is 84. The pattern follows the rule divide by 2 then add 10. Find the next three terms and then de

scribe the pattern.
Mathematics
1 answer:
Tomtit [17]1 year ago
7 0

Answer: 52 , 36 , 28

I goygot these numbers by following the rule . Each time you divide by 2 so u get the half and then add 10 . I see the numbers are even and they are decreasing so they are getting smaller . Hope it helps

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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
Anton [14]

Answer:

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
  • If y is directly proportional to x (y ∝ x) , then \frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}  <em>OR</em>  y = k x, where k is the constant of proportionality

∵ The stopping distance d of an automobile is directly

   proportional to the square of its speed s

- That means d ∝ s²

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

∵ A car requires 75 feet to stop from a speed of 30 miles per hour

∴ d = 75 feet

∴ s = 30 miles/hour

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour

∵  The car require to stop from a speed of 48 miles per hour

    on the same road

- Change the mile to feet

∴ 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

   and s_{2} by 253440 feet/hour

∴ \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

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

4 0
2 years ago
What is the factor tree for 184
Troyanec [42]
Look at the picture.

184 = 2 x 2 x 2 x 23

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3 years ago
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5/10, 7/12, 4/6
Hope this helps!
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3 years ago
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What is -3.8 as a fraction in simplest form
Paul [167]
-3.8 is -3 8/10 which is -3 4/5 simplified
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3 years ago
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If 15% of the total ticket sales is $375 what is the value of the total ticket sales
bixtya [17]
15% = 15/100 = 0,15

<span>total ticket sales = </span>$375 : 0.15 = $2,500
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