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3 years ago

A board 24 inches long is cut into two pieces in the ratio 3:5.Find the length of each piece.

2 answers:

7 0

The answer would be 9 and 15.
This is because when splitting you could name the two pieces 3x and 5x. You could then add those pieces together (creating 8x) to set it equal to 24 (8x=24). Then solving that equation x=3. You plug x back into the original equations you created so 3x3=9 and 5x3=15.

hichkok12 [17]3 years ago

7 0

Step-by-step explanation: Since the two pieces of the board are in the ratio 3:5, we can represent the pieces as 3x and 5x.

So let's call 3x our first piece and 5x our second piece.

Now since we know that the original board is 24 inches long,

our two pieces must add to 24 inches.

So we can setup the equation 3x + 5x = 24.

Simplifying on the left side we have 8x =24.

Now divide both sides by 8 to get x = 3.

So the length of the first piece, 3x, is 3(3) or 9 inches.

The length of the second piece, 5x, is 5(3) or 15 inches.

Finally, make sure to check the answer back in

the original problem to see if it makes sense.

In this case, 9 inches + 15 inches = 24 inches so our answer checks.

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A group of hikers are 675 ft from the base of Guadalupe peak, which is 8749 ft tall. what is the angle of elevation when they lo

Strike441 [17]

Tangent (angle) = opposite / adjacent
tangent (angle) = 8,749 / 675
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arc tangent (13) = 85.601 Degrees
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3 years ago

Order from last to greatest- 1/3,0.3,33%,8/25,33.6%

KIM [24]

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3 years ago

An air traffic controller spots two planes at the same altitude flying toward each other. their flight paths form a right angle

7nadin3 [17]

Let the units of the problem be miles and hours. The first plane's distance from point p can be described by

... x = 150 -450t

The second plane's distance from point p can be described by

... y = 200 -450t

Since their flight paths are at right angles, the Pythagorean theorem can be used to describe the distance between them (s).

... s² = x² + y²

... s² = (150 -450t)² + (200 -450t)² = 22500 -135000t +202500t² +40000 -180000t +202500t²

... s² = 40500t² -315000t +62500 = 2500(162t² -126t +25)

... s = 50√(162t² -126t +25)

4 0

3 years ago

Jeremy earned x number of dollars mowing lawns in the month of June. His brother, Matthew, earned twice plus $4 of what Jeremy e

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The answer would be D. $43

6 0

3 years ago

Read 2 more answers

I need the answer for number 4 please!!

Harman [31]

Answer:

-3 - false

0 - true

1 - true

2 - false

4 - true

Step-by-step explanation:

the "zeros" of a function are its x-intercepts

(because that is when the function = zero [0])

So, we can look at the x-intercepts of the graph to find the zeros:

at 0, 1, and 4 the function = 0, meaning that those are zeros of the function

hope this helps!! have a lovely day :)

3 0

2 years ago