$\left\{\begin{array}{ccc}2x-3y=-27&|\cdot3\\-3x+2y=23&|\cdot2\end{array}\right\\\underline{\left\{\begin{array}{ccc}6x-9y=-81\\-6x+4y=46\end{array}\right}\ \ \ \ |\text{add both sides}\\.\ \ \ \ \ \ -5y=-35\ \ \ \ \ |:(-5)\\.\ \ \ \ \ \ \ \ y=7\\\\\text{put the value of y to the first equation}\\\\2x-3(7)=-27\\\\2x-21=-27\ \ \ \ |+21\\\\2x=-6\ \ \ \ |:2\\\\x=-3\\\\\text{Answer:}\ x=-3,\ y=7\to\boxed{(-3,\ 7)}$

6 0

3 years ago

Find the volume of the cylinder using the given formula

insens350 [35]

Answer:

B. 1469.52 cubic units

Step-by-step explanation:

6 squared is 36, 36 x 13 is 46s, 468 x 3.14(pie) is 1469.52

3 0

3 years ago

A rectangular sheet of paper was folded in half 6 times. In the middle of this folded sheet, two holes were drilled. Then, the s

laiz [17]

Answer:

There will be 128 holes

Step-by-step explanation:

Simply think of each fold as doubling the number of holes. So since we have 6 folds, that will be 2^6 and then we have 2 holes in those folds, which makes 2*2^6 == 2^7 == 128 holes. Cheers.

7 0

3 years ago

In a group of 343 children, 104 have a swing set, 126 have a trampoline and 42 have a swing set and trampoline. How many have a

Tresset [83]

Answer:

None of the above

4 0

3 years ago