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SVEN [57.7K]
2 years ago
10

3 (x+2)+9<6(x-3) solve the inequality and write the solution using interval notation​

Mathematics
1 answer:
Darya [45]2 years ago
6 0

Answer:

(11, ∞).

Step-by-step explanation:

3 (x+2)+9<6(x-3)

3x + 6 + 9 < 6x - 18

-3x < -18 - 6 - 9

-3x < -33

x > 11       (Note the inequality flips as we are dividing by a negative value).

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7 0
1 year ago
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What is the area of this composite figure?
VLD [36.1K]

Answer:

36.56

Step-by-step explanation:

the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)

6 0
2 years ago
Please help! Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact valu
Nadya [2.5K]

Answer:

The \ area \ of \ the \ figure = 4\dfrac{1}{2} \cdot \pi + 18 \ cm^2

Step-by-step explanation:

Given that the figure is made up of portion of a square and a semicircle, we have;

BC ≅ AB = 6 cm

The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²

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5 0
3 years ago
William is 3 years older than Charmaine.The sum of 3 times charmaines age and 2 times Williams age is 76.How old are William and
astra-53 [7]
Charmaine= x
William=x+3
3 times Charmaine = 3x
2times William = 2x+6
5x+6=76
5x=76-6
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X=14
Charmaine is 14
William is 3 years older so is 17

Check:
17x2= 34
14x3=42
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So Charmaine is 14
William is 17
4 0
2 years ago
A ladybugs length measures 2cm express this measurement in meters explain your thinking include an equation with an exponent in
Ksivusya [100]
All we really need to do here is to convert 2 cm to meters.  There are 100 cm in 1 meter, so the appropriate cm to meters conversion factor is 

1 meter
-----------
100 cm

Thus, 

2 cm       1 m
-------- * ----------- = (1/50) m = 0.02 m      or  2.0*10^(-2) m     (answer)
    1        100 cm
7 0
2 years ago
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