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2 years ago

1/3(c+1)=1/6(3c-5) explain & show steps!

1 answer:

3 0

1. simplify 1/3 ( c + 1 ) to c + 1/3 ( c + 1 over 3 = 1/6 (3c - 5)

2. simplify 1/6 (3c - 5) to 3c - 5 over 6 ( c + 1 over 3 = 3c - 5 over 6 )

3. multiply both sides by 6 [The LCM of 3, 6] 2(c + 1) = 3c - 5

4. expand (2c + 2 = 3c - 5)

5. subtract 2c from both sides (2 = 3c - 5 - 2c)

6. simplify 3c - 5 - 2c to c - 5 (2 = c - 5)

7. add 5 to both sides (2 + 5 = c)

8. simplify 2 + 5 to 7 (7 = c)

9. switch sides (c = 7 )

so in conclusion the answer is 7.

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Whats the square root of -56

Mashutka [201]

The square root of -56 is 7.4833 (feel free to round it up to 7.5)

I hope this helps you!

4 0

3 years ago

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It's a system of equations x=-4y x+6y=18

Misha Larkins [42]

Subsitute -4y for x

-4y+6y=18
2y=18
divide both sides by 2
y=9
sub back

x=-4y
x=-4(9)
x=-36

(x,y)
(9,-36)

3 0

3 years ago

In her last basketball game, Carla scored 46 points. In the current game, she has scored 24 points so far. How many more two-poi

KatRina [158]

Answer:

Carla needs to make at least 11 two-pointer shots in the surrent game

Step-by-step explanation:

The first thing we can do is to find the difference between the number of points that Carla scored in her first game and her second game.

This will be 46 - 24 = 22 points difference

Carla needs to make a certain number of two-pointers to get at least the same score she had in her previous game.

We can get this number of two-pointers that needed to be made by dividing the difference in scores by 2

i.e number of two-pointer shots = 22/2 =11 shots

Therefore, Carla needs to make at least 11 two-pointer shots to be able to get the same score in her current game.

8 0

3 years ago

Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express

sammy [17]

Answer:

Step-by-step explanation:

$given \\ f(x) = x ^{2} + 10x + 21 \: and \: g(x) = x + 7$

$as \: we \: know \: (f.g)x \: is \: same \: as$

$f(g(x))$

$so \:$

$f(x + 7) = ( x + 7) ^{2} + 10(x + 7) + 21$

$f(x + 7) = {x}^{2} + 14x + 49 + 10x + 70 + 21$

$f(x + 7) = x^{2} + 24x + 140$

$therefore$

$(f.g)x = {x}^{2} + 24x + 140$

3 0

3 years ago

In a population distribution, a score of x=57 corresponds to z=-0.25 and a score of x=87 corresponds to z=1.25. Find the mean an

Serggg [28]

Here is dependence between scores and x-values:

$Z_i=\dfrac{X_i-\mu}{\sigma},$

where $\mu$ is the mean, $\sigma$ is standard deviation and i changes from 1 to 2.

1. When i=1, $Z_1=-0.25,\ X_1=57,$ then

$-0.25=\dfrac{57-\mu}{\sigma}.$

2. When i=2, $Z_2=1.25,\ X_2=87,$ then

$1.25=\dfrac{87-\mu}{\sigma}.$

Now solve the system of equations:

$\left\{\begin{array}{l}-0.25=\dfrac{57-\mu}{\sigma}\\ \\1.25=\dfrac{87-\mu}{\sigma}.\end{array}\right.$

$\left\{\begin{array}{l}-0.25\sigma=57-\mu\\ \\1.25\sigma=87-\mu.\end{array}\right.$

Subtract first equation from the second:

$1.25\sigma-(-0.25\sigma)=87-57,\\ \\1.5\sigma=30,\\ \\\sigma=20.$

Then

$1.25=\dfrac{87-\mu}{20},\\ \\87-\mu=25,\\ \\\mu=87-25=62.$

Answer: the mean is 62, the standard deviation is 20.

3 0

3 years ago

Read 2 more answers