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Veronika [31]
3 years ago
12

Explain how you can use 4S facts to solve 8×3?

Mathematics
2 answers:
Otrada [13]3 years ago
4 0
8X3 equals 24
3x 8 equals 24

Eight rows of 3 =24
3 rows of 8 = 24

Y_Kistochka [10]3 years ago
3 0

Answer:

Using 4's facts we could separate 8 into 2(4), then 2(2)(2), and then multiply them one time by three. So, we would have 2(2)(2)(3)=2(2)6=2(12)=24.

In most of the cases, using 4's facts implies to also used doubles. This is an strategy to help children to multiply by 4, using the well-known 2's multiplications facts. In other words, the fact is to make easier the multiplication, using other resources that children already know.

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5x + 2 can be expressed as​
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Suppose a railroad rail is 5 kilometers and it expands on a hot day by 12 centimeters in length. Approximately how many meters w
jolli1 [7]

Answer:

  about 17 meters

Step-by-step explanation:

We can use the Pythagorean theorem to put an upper bound on the height of the bump in the rail. This assumes half the expanded rail length (d+e) is the hypotenuse of a right triangle whose legs are the bump height (b) and the 2500 meter distance (d) from the center of the rail to its end.

The Pythagorean theorem relates these distances this way:

  b^2 + d^2 = (d+e)^2

Expanding the square on the right, we can simplify the expression to find b.

  b^2 = (d^2 +2de +e^2) -d^2

  b^2 = e(2d +e)

  b = √(e(2d +e))

Using lengths in meters, we can fill this in to calculate b.

  b = √(.06(2·2500 +.06)) = √300.0036

  b ≈ 17.32 . . . . meters

_____

<em>Comment on this solution</em>

We don't expect rails to tear loose from the rail bed and rise up to a height matching that of a 3-story building. That is why there are typically expansion joints and shorter rail lengths used in the construction of railways.

The height is a little lower if we take physics into account and distribute the stress in the rail along its length. No doubt the final curve is somewhat more complicated than the triangle we have assumed.

If it were an ellipse, the height might only be 9.4 meters, with the steepest rise occurring near the ends of the rail. The math for this model is beyond the scope of this answer.

7 0
3 years ago
Sarah rolls a fair dice 96 times.
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Answer:

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Step-by-step explanation:

8 0
3 years ago
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Write an equation in slope-intercept form for the line that passes through (-3, 5), and is perpendicular to the graph of 5x - 6y
Rudiy27

Answer:

y=(-6/5)x+8.6

Step-by-step explanation:

If a line is perpendicular to 5x-6y=9, then it must have a slope that is the negative reciprocal.

1) Fine the slope of the first line by setting the equation equal to y.

5x-6y=9

5x-9= 6y

(5/6)x-1.5=y

slope= 5/6

2) Find the negative reciprocal of the slope

slope: 5/6

reciprocal: 6/5

negative reciprocal: -6/5

3) We now get to use the points (-3, 5) by plugging them into slope-intercept form. The goal is finding the y-intercept.

y=mx+b

5=(-6/5)(-3)+b

5=(-18/5)+b

5= -3.6+b

b= 8.6

4) Now we put everything back in slope-intercept form.

y=(-6/5)x+8.6

7 0
4 years ago
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