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3 years ago

1. solve for x: 2(x+2) + 3(x-1) = 3x + 7 +

Mathematics

1 answer:

Rus_ich [418]3 years ago

5 0

x = 2(x+2) + 3(x-1) = 3x + 7

2x + 4 + 3x -3 = 3x + 7

2x + 3x - 3x = 7 - 4 + 3

2x = 6

x = 3

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A fair spinner has 12 equal sections: 5 red 4 blue and 3 green. its Spun twice what is the probability of getting the same colou

VLD [36.1K]

Answer:

25/72

Step-by-step explanation:

P( blue) = blue / total = 4/12 = 1/3

P ( blue, blue) = 1/3 * 1/3 = 1/9

P ( red) = red / total = 5/12

P ( red, red) = 5/12 * 5/12 = 25/144

P ( green) = green /total = 3/12 =1/4

P ( green , green) = 1/4 * 1/4 = 1/16

Add these together to get

P( same colour twice) = 1/9+ 25/144 + 1/16

=16/144 + 25/144 + 9/144

=50/144

=25/72

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20k%20-%20%28k%20%2B%20%20%5Cfrac%7B1%7D%7B4%7D%29%20%3D%20%20%5Cfrac

VikaD [51]

Firstly, foil -(k + 1/4) (think of the minus sign as -1):

$\frac{2}{3}k-k-\frac{1}{4}=\frac{1}{12}k+\frac{4}{12}$

Next, combine like terms:

$-\frac{1}{3}k-\frac{1}{4}=\frac{1}{12}k+\frac{4}{12}$

Next, we have to add 1/3k on both sides, but first we have to find the LCD, or lowest common denominator, of 3 and 12. To do this, list the multiples of both and the lowest one they share is their LCD. In this case, the LCD is 12. Multiply both sides of -1/3 by 4/4 and 1/12 by 1/1:

$-\frac{1}{3}\times \frac{4}{4}=-\frac{4}{12}\\\\\frac{1}{12}\times \frac{1}{1}=\frac{1}{12}\\\\-\frac{4}{12}k-\frac{1}{4}=\frac{1}{12}k+\frac{4}{12}$

Now add 4/12k on both sides of the equation:

$-\frac{1}{4}=\frac{5}{12}k+\frac{4}{12}$

Next, to subtract 4/12 on both sides we need to find the LCD of 4 and 12. It's the similar process as we did with 12 and 3. This time the LCD is also 12. Multiply both sides of -1/4 by 3/3 and 4/12 by 1/1:

$-\frac{1}{4}\times \frac{3}{3}=-\frac{3}{12}\\\\\frac{4}{12}\times \frac{1}{1}=\frac{4}{12}\\\\-\frac{3}{12}=\frac{5}{12}k+\frac{4}{12}$

Now subtract 4/12 on both sides:

$-\frac{7}{12}=\frac{5}{12}k$

Lastly, multiply both sides by 12/5, and your answer will be:

$-\frac{84}{60}=-\frac{7}{5}=k$

3 0

3 years ago

Can you help Me? I think i got the answer but im not sure can you help me?

luda_lava [24]

Answer:

think its cineplex hope I helped please mark brainliest

4 0

4 years ago

Hellppp plzzzz ??...........

solmaris [256]

Answer:

B. $\dfrac{3\sqrt{2}}{2}$

Step-by-step explanation:

The sides forming the right angle are called the legs. Since the two angles shown are congruent, the legs are congruent.

We can use the Pythagorean theorem.

$a^2 + b^2 = c^2$

$x^2 + x^2 = 3^2$

$2x^2 = 9$

$x^2 = \dfrac{9}{2}$

$x = \sqrt{\dfrac{9}{2}}$

$x = \dfrac{3}{\sqrt{2}}$

$x = \dfrac{3}{\sqrt{2}} \times \dfrac{\sqrt{2}}{\sqrt{2}}$

$x = \dfrac{3\sqrt{2}}{\sqrt{2}\sqrt{2}}$

$x = \dfrac{3\sqrt{2}}{2}$

3 0

4 years ago

a rancher is selling off 7% of her ranch each year. If she owns 2000 square miles, in about how many years will she own only 600

Nutka1998 [239]

This is an exponential decay function, or it can also be viewed as a geometric sequence, either way, it can be expressed in this circumstance as:

f=ir^t, f=final amount, i=initial amount, r=common ratio or rate, t=times ratio is applied or time.

In this case i=2000 and r=(100-7)/100=0.93 so

f=2000(0.93^t)

We are asked to find when f=600 so:

600=2000(0.93^t) divide both sides by 2000

0.3=0.93^t, take the natural log of both sides

ln0.3=t*ln0.93 divide both sides by ln0.93

(ln0.3)/(ln0.93)=t

t≈16.59

So in about 16.5 years she will own only 600 square miles. (round as appropriate for your answer)

3 0

3 years ago