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Andreas93 [3]
3 years ago
12

Solve the equation: 9 (x − 9)−3 = −4 (2x + 4) 4 -4 100 68

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0

Answer:


Step-by-step explanation:

Applying BODMAS here;

We first solve what is in the brackets:

9x - 81 -3 = -8x - 16

We then put the like terms together:

9x + 8x = -16 + 81 + 3

We then do the addition:

17x = -16 + 84

We then do the subtraction:

17x = 68

Simplifying this gives:

x = \frac{68}{17} = 4

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Semmy [17]
Answer: 6

explanation:
set up proportions
(4+2)/9 = 4/x
6/9 = 4/x
simplify
2/3 = 4/x
cross multiply
2x = 12
divide
x = 6
8 0
3 years ago
Find the distance between the two points in simplest radical form.<br> (3,9)and (0,2)
Aleks04 [339]

Answer:

7.62

Step-by-step explanation:

use distance formula

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3 years ago
Exponent Practice:<br> x^2/3=64
docker41 [41]
X^2/3 = 64
x^{2} =64^{3}
x = 64^{3/2}

it is easier to first find square root of 64 and than power it to 3
square root of 64 is 8 which means our equation now looks like:
x = 8^3
now the answer is after powering 8 to 3:
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3 years ago
Ana's manager is trying to figure out how much to charge for a chair that just arrived. If the wholesale price of the chair is $
Veronika [31]

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7 0
3 years ago
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
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