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tatyana61 [14]
2 years ago
6

Which of the following demonstrates the Distributive Property?

Mathematics
1 answer:
Lunna [17]2 years ago
5 0
The answer would be "<span>3(4a + 2) = 12a + 6". With the distributive property, the number outside of the parenthesis is multiplied to each component inside the parenthesis individually. Ex: 3x4a=12a, 3x2=6.</span>
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What is the sum of all of the odd numbers from 1 to 59? <br> Answer 900
jasenka [17]
The sum of all the odd numbers from 1 to 59 is 900.
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3 years ago
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A car Travel 476 miles on 14 gallons of gas. Write an eqation relating the distance d to the nuber of gallons
Klio2033 [76]
476miles per 14gallons of gas

is the same as 476 / 14 = 34

so 34miles / 1gallon of gas.

34x =578 where x is the number of gallons

578 / 34 = 17gallons
3 0
3 years ago
(01.05) Use the graph below to answer this question: graph of line going through negative 1, 4 and 2, 0 Find the average rate of
dsp73

1) Find the graph of a line passing through (-1, 4) and (2, 0).

The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:

\frac{4-0}{-1-2} =\frac{4}{-3}

The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:

y=\frac{-4}{3} x+b

To find b, substitute x and y for one of the given coordinate pairs:

0 = (-4/3)(2) + b

0 = -8/3 + b

8/3 = b

Substitute the b value into the equation to finish the line:

y=\frac{-4}{3} x+\frac{8}{3}

4 0
2 years ago
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The digit 4 in 49,308 has a value blank times as much as the 4 in 4,061
Step2247 [10]
Digit 4 in 49,308 is ten thousands and the 4in 4061 is thousands
8 0
3 years ago
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Can someone help me for this question please? I just keep getting wrong answer! Pls someone explain to me step by step! ASAP!!!
Kobotan [32]

Answer:

  84 feet

Step-by-step explanation:

This problem involves several steps. The first step is to realize that the given figure does not show the required number of vertical stringers. It shows 5, but there will be 7 of them. The given diagram is helpful in that it shows a vertical stringer on the centerline of the arches.

The second step is to write a function that will tell you how long the stringer will be. I find it convenient to write the equation for an arch shape such as this using the parent function h(x) = 1-x^2. This parent function gives an arch of height 1 and width 1 from center (a total width of 2). You want an arch that is 16 ft high and 40 ft wide (one side from center), so you must scale this parent function both horizontally (by 40) and vertically (by 16). It becomes ...

  H(x) = 16(1 -(x/40)^2)

The taller arch is twice this height, so the length of a vertical stringer at position x is

  vertical length = 2H(x) -H(x) = H(x)

That is, the function H(x) we defined can be used to find the length of the stringers.

The third step is to find the stringer lengths. It can save some energy if you realize that the problem is symmetrical, so that the stringer at x=-30 is the same length as the one at x=30. We need to find stringer lengths every 10 feet from -40 feet to +40 feet. Of course, the ones at ±40 feet are zero length, because that is where the two arches meet.

  H(-30) = 16(1 -(3/4)^2) = 7

  H(-20) = 16(1 -(1/2)^2) = 12

  H(-10) = 16(1 -(1/4)^2) = 15

  H(0) = 16

Then the fourth step is to add up the stringer lengths, rounding the result as required.

  7 +12 +15 +16 +15 +12 +7 = 16 + 2(34) = 84 . . . . feet (no rounding needed)

Finally, you need to answer the question asked:

  The sum of vertical stringer lengths is 84 feet.

5 0
3 years ago
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