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r-ruslan [8.4K]
3 years ago
15

MULTIPLE CHOICE

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

Step 1) Multiply 2 by 3

<em>5x+6 = 2x+3x+6</em>

Step 2) Combine like terms

<em>5x+6 = 5x+6</em>

Step 3) Add 5x and 6 to both sides

Answer:

<em>0 = 0</em>

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The sum of two positive numbers is 16 and their difference is 2 . the larger number is?​
Aleonysh [2.5K]

Answer:

9

Step-by-step explanation:

7 + 9 = 16

9 - 7 = 2

The larger number is 9

Hope that helps!

8 0
2 years ago
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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
Lisa [10]

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



5 0
1 year ago
What is 24^3 - 9 + 8? Factorize if possible please!
Ahat [919]

Answer:

13,823

Step-by-step explanation:

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Francesca bought a rectangular piece of fabric that is 2/3 yard long and 3/4 yard wide. What is the area, in square yards, of th
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Answer:

area \:  = length  \times width \\  =  \frac{2}{3} \times  \frac{3}{4}  \\  =  \frac{(2 \times 3)}{(3 \times 4)}   \\ =  \frac{6}{12}  \\ area =  \frac{1}{2} square \: yards

6 0
3 years ago
Can someone please help me find the horizontal asymptote of this graph I dont undestand
Andreas93 [3]

9514 1404 393

Answer:

  p = 0

Step-by-step explanation:

The graph is of an exponential function. An exponential function always has a horizontal asymptote of 0.

  p(t) = 5×2^t

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The horizontal asymptote is p = 0.

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