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astra-53 [7]
3 years ago
10

a 27-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piec

e is 5 times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces
Mathematics
1 answer:
MrMuchimi3 years ago
5 0

<u>Step-by-step explanation:</u>

27 = x + 3x +5x

27 = 9x

3 = x

Board 1: (3)(1) = 3 inches

Board 2: (3)(3) = 9 inches

Board 3: (3)(5) = 15 inches

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2x + 6 - 7x + 4 = x + 9 - 6x​
san4es73 [151]
There are no values of X that make the equation true therefore there is no solution
3 0
3 years ago
How do you solve it?
Elis [28]

At heart we're being asked for a line through two points,


(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})


In general the line through (a,b) and (c,d) is


(y-b)(c-a)=(x-a)(d-b)


Check that you understand why both (a,b) and (c,d) are on this line.


Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,


(v - 355)(49 - 40) = (T - 40)(360 - 355)


9(v - 355) = 5(T - 40)


v-355 = \frac 5 9 T - \frac{200}{9}


v= \frac 5 9 T - \frac{200}{9} + 355


v= \frac 5 9 T + \frac{2995}{9}


That's our answer; let's check it.


When T=40, v = (5/9)40 + (2995/9) = 355 good


When T=49, v= (5/9)49 + (2995/9) = 360 good




7 0
3 years ago
What is the recursive rule for the following sequence: -5, -3, -1, 1…
Irina18 [472]
a_{n} = a_{n-1} + 2

So C.
4 0
3 years ago
How do you work this out?
Katarina [22]
Because ABCD is a rectangle, the length of CD is 12 cm.

We need to determine the length of DE.  If we can do that, then the sum of the lengths of CD and DE represents the unknown:  the length of CE.

To find the length of CE, we have to "solve" the upper triangle.

Here's an outline of what to do:

1.  Show that BC=AD and find the length.
2.  Note that angle CAD is 60 degrees.  Why?
3.  Note that angle EAD is 30 degrees.  Why?
4.  Find the length of ED
5.  Add ED and DC, that is, ED + 12 cm.  This is your answer.

Please ask questions if need be.
5 0
3 years ago
PLEASE GIVE ME A VALID ANSWER IM GIVING ALOT OF POINTS!
seraphim [82]

Answer:

Step-by-step explanation: It is 1/2 of 14 = 7 hours to the moot

And plug in 7 hours to the equation  4*7+14*7=126 divide that by 2 and the distance is 63

3 0
3 years ago
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