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DanielleElmas [232]
3 years ago
14

3/8 (c+8) = -3/2 I need help with this

Mathematics
1 answer:
Delvig [45]3 years ago
4 0

Answer:

c = -12

Step-by-step explanation:

Solving for a variable with fractions can sometimes seem difficult, but getting rid of the fractions first will help.  In order to get rid of a fraction, you can multiply by its reciprocal on both sides of the equation.  The reciprocal is the opposite form of the fraction where the numerator becomes the denominator and the denominator becomes the numerator.  For example:

\frac{3}{8}*\frac{8}{3}=\frac{24}{24}=1

So, the recriprocal of \frac{3}{8} is \frac{8}{3}

Start by multiplying both sides of the equation by \frac{8}{3}:

(\frac{8}{3})(\frac{3}{8})(c+8) = \frac{-3}{2}(\frac{8}{3})

c + 8 = \frac{-24}{6}=-4 or c + 8 = -4 so c = -12

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Solve the following equation for X: 1/2(5x+12)=2x-3 show your work
Debora [2.8K]
1/2(5x + 12) = 2x - 3
5/2 x + 6 = 2x - 3
5/2 x - 2x = -3 - 6 = -9
5x = 2 x -9 = -18
x = -18/5
5 0
3 years ago
PLS HELP ASAP WILL GIVE BRAINLIEST AND 100 POINTS
konstantin123 [22]
<h2><u>Part A</u>: He started with 4 miles. </h2>

<u>Explanation Part A</u>:    51.664 = (x((1.2⁷)-1)) / 0.2

<h2>
<u>Part B</u>: The equation is 51.664 = (x(1.2⁷)-1)/0.2</h2>

<u>Explanation</u>: n = 7 and on day 7 he traveled 51.664 so Sn = 51.664.

We get the second part of the equation because each day is increased by 20% so we have r = (1.2x) / x = 1.2

So our top half will be x multiplied by ((1.2)⁷-1) because it's the 7th day and we are increasing by 1.2x - 1.

Our bottom half is 1.2 - 1 which equals 0.2

<h2><u>Part C</u> : 103.83 miles</h2>

<u>Explanation: </u> We now have x which is 4 so we plug x into the equation above and remove the 51.664. We also change the 1.2⁷ to 1.2¹⁰ because it's the 10th day not the 7th.

Our equation now looks like (4(1.2¹⁰)-1) / 0.2 which is equal to 103.83 miles.

5 0
3 years ago
Guy's y'all plzz answer this who knows about it...and also exam is near​
Yanka [14]

Answer:

Step-by-step explanation:

Okay so I will explain the first one.

2 to the power of 4 = 2x2x2x2

2 to the power of 6 = 2x2x2x2x2x2

2 to the power of 4 = 2x2x2x2

2^4 = 16

2^6 = 64

When you are multiplying powers you add.

+

When you subtract you takeaway.

-

So you would do

4+6+4

= 14

Meaning 2 to the power of 14

2x^{14}

So what is 2 to the power of 14.

You would do

2x2x2x2x2x2x2x2x2x2x2x2x2x2

The answer is 16384

You can also use a calculator

GOOD LUCK FOR YOUR TEST!

7 0
3 years ago
a race car drivers time in seconds to complete 12 laps is plotted on a graph, what is the dependent variable?
Ipatiy [6.2K]
The time it took to complete 12 laps.
The independent, however, would be the car's speed or something like that.
6 0
3 years ago
Answer ASAP, Will give brainliest
erastova [34]

Answer:

Step-by-step explanation:

1) ABCD is a trapezium. AB ║ CD

∠ADC + ∠DAB  = 180°  { Co interior angles}

110° + ∠DAB = 180

         ∠DAB = 180 -110

∠DAB = 70°

2) Sum of all angles of trapezium = 360°

∠A + ∠B + ∠DCB + ∠D = 360

70° + 50° + ∠DCB + 110° = 360

                 230 + ∠DCB = 360

                            ∠DCB = 360 - 230

∠DCB = 130°

3) For finding the height, use Pythagorean theorem

height² + base² = hypotenuse²

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              height² = 64

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height = 8 m

4) a = AB = x m

  b = 9 m

h = height = 8 m

Area of trapezium = 120 m²

\frac{(a+b)*h}{2}\\\\  = 120

\frac{(x+9)*8}{2} =120\\\\\\(x +9)*4 = 120

x + 9 = 120/4

x + 9 = 30

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x = 21 m

AB = 21m

                             

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