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3 years ago

Find the sum of the next two numbers in the series below

Mathematics

1 answer:

Snezhnost [94]3 years ago

7 0

Answer:

74 and 110

Step-by-step explanation:

lay out the numbers and the difference between the numbers:

20,24,33,49

+4 +9 +16

and notice the different between the amount added between the numbers

4,9,16

+5 +7

It seems the amount added to the amount added increases by 2 each time

the next two numbers in the sequence above is 9 and 11.

From that we can try to figure out what will be added to the original number by adding 9 and 11 to the difference list.

4, 9, 16, 25(added 9), 36(added 11)

and we can test those values

20,24,33,49,74(added 25),110(added 36)

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3 years ago

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Step-by-step explanation:

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The bed of a pick up truck measures 4 feet by 8 feet. To the nearest inch, what is the length of the longest thin metal bar that

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4 years ago

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Valentin [98]

Answer:

Step-by-step explanation:

f(x) = a(x - h)² + k ← vertex form of parabola equation with vertex (h, k)

So:

f(x) = a(x - 6)² + (-3)

f(x) = a(x - 6)² - 3 ← vertex form of our parabola equation

Parabola goes through (8, 5) so if x=8 then f(x)=5

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That means, the equation of a parabola with vertex (6, -3) and passing through the point (8, 5):

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3 years ago

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

Dennis_Churaev [7]

Answer:

The test contains 10 three-point questions and 14 five-point questions

Step-by-step explanation:

Given equations are:

$x+y = 24\\and\\3x+5y=100$

From 2nd equation we can deduce that x represents number of 3-point questions and y represents number of 5-point questions.

Using the substitution method:

From x+y = 24

y= 24-x

Putting this valu of y in 3x+5y=100

$3x+5(24-x) = 100\\3x + 120 - 5x = 100\\-2x+120=100\\-2x = 100-120\\-2x = -20\\\frac{-2x}{-2} = \frac{-20}{-2}\\ x = 10\\Putting\ the\ value\ of\ x\ in\ x+y=24\\10+y=24\\y = 24-10\\y = 14$

Hence, the correct answer is:

The test contains 10 three-point questions and 14 five-point questions..

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4 years ago