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alexgriva [62]
3 years ago
14

One-fifth the sum of one-half and one-third. WRITE IN A EXPRESSION FORM

Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0

Answer:

1/6

Step-by-step explanation:

1/2 + 1/3 = 5/6

1/5 of 5/6 = 5/30

5/30 can be simplified as 1/6.

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Solve for the following system of equations.<br> -7x+6y=9<br> -2x-5y+16<br><br> x=?<br> y=?
Alex17521 [72]

Answer:

x = -3 and y = -2

Step-by-step explanation:

It is given that,

-7x + 6y = 9     ----(1)

-2x - 5y = 16    -------(2)

<u>To find the solution of given equations</u>

eq(1) * 2 ⇒

-14x + 12y = 18 ------(3)

eq(2) * 7 ⇒

-14x - 35y = 112   ---(4)

eq (3) - eq(4) ⇒

-14x + 12y = 18 ------(3)

<u>-14x - 35y = 112 </u>  ---(4)

    0   4y = -94

y = 94/(-47) = -2

Substitute the value of y in eq (2)

-2x - 5y = 16    -------(2)

-2x - 5*-2 = 16

-2x +10 = 16

-2x = 6

x = 6/-2 = -3

Therefore x = -3 and y = -2

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3 years ago
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What is the area of the sector having a radius of 8 and a central angle of 5pi/3 radians?
Naya [18.7K]

Answer:

  160π/3 units² ≈ 167.55 units²

Step-by-step explanation:

The appropriate area formula is ...

  A = (1/2)r²θ

Filling in the numbers, you have ...

  A = (1/2)(8²)(5π/3) = 160π/3 ≈ 167.55 . . . . square units

8 0
3 years ago
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