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jenyasd209 [6]
4 years ago
8

Hat is the solution to the equation 3/3(4c + 16)=2c+9 ? c =

Mathematics
2 answers:
marusya05 [52]4 years ago
7 0
If it is \frac{3}{3(4c+16)}=2c+9, go to AAAAAA
if it is (\frac{3}{3})(4c+16)=2c+9, go to BBBBB

AAAAAAAAA
\frac{3}{3(4c+16)}=2c+9
\frac{1}{4c+16}=2c+9
times 4c+16 to both sides
1=(2c+9)(4c+16)
distribute
1=8c^2+68c+144
minus 1 both sides
0=8c^2+68c+143
use quadratic formula
c=\frac{-17- \sqrt{3} }{4} or \frac{-17+ \sqrt{3} }{4}




BBBBBBBBBBBB
(3/3)(4c+16)=2c+9
1(4c+16)=2c+9
4c+16=2c+9
minus 2c both sides
2c+16=9
minus 16 both sides
2c=-7
divide both sides by 2
c=-7/2
c=-3.5





if it is \frac{3}{3(4c+16)}=2c+9,
c=\frac{-17- \sqrt{3} }{4} or \frac{-17+ \sqrt{3} }{4}


if it is (\frac{3}{3})(4c+16)=2c+9, c=-3.5



aivan3 [116]4 years ago
3 0
Acutly its really simple Let's solve your equation step-by-step.<span><span><span>3/3</span><span>(<span><span>4c</span>+16</span>)</span></span>=<span><span>2c</span>+9</span></span>Step 1: Simplify both sides of the equation.<span><span><span>3/3</span><span>(<span><span>4c</span>+16</span>)</span></span>=<span><span>2c</span>+9</span></span><span>Simplify: (</span><span><span><span><span>(<span>3/3</span>)</span><span>(<span>4c</span>)</span></span>+<span><span>(<span>3/3</span>)</span><span>(16)</span></span></span>=<span><span>2c</span>+9</span></span>(Distribute)<span><span><span>4c</span>+16</span>=<span><span>2c</span>+9</span></span>Step 2: Subtract 2c from both sides.<span><span><span><span>4c</span>+16</span>−<span>2c</span></span>=<span><span><span>2c</span>+9</span>−<span>2c</span></span></span><span><span><span>2c</span>+16</span>=9</span>Step 3: Subtract 16 from both sides.<span><span><span><span>2c</span>+16</span>−16</span>=<span>9−16</span></span><span><span>2c</span>=<span>−7</span></span>Step 4: Divide both sides by 2.<span><span><span>2c/</span>2</span>=<span><span>−7/</span>2</span></span><span>c=<span><span>−7/</span>2</span></span>Answer:<span>c=<span><span>−7/</span><span>2</span></span></span>
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120 beats per 45 seconds
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Answer: 120 beats per 45 seconds

Step-by-step explanation:

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3 years ago
A random sample of 16 statistics examinations was taken. The average sample score was 76.2 with a sample variance of 144. The 99
dlinn [17]

99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

<h3>What is the margin of error in statistics?</h3>

The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

The interval will be calculated as below:-

Confidence interval = mean +/- margin of error (E)

mean = 76.2

variance = 144

sd = sqrt(variance) = sqrt(144) = 12

n = 16

Degree of freedom (df) = n - 1 = 16- 1 = 15

Confidence level (C) = 99% = 0.99

Significance level = 1 - C = 1 - 0.99 = 0.01 = 1%

t-value corresponding to 15 df and 1% significance level is 2.95

The margin of error will be:-

E = t×sd/√n = 2.95 ×  12/√16 = 8.85

The interval will be:-

Lower limit = mean - E = 76.2 - 8.85 = 67.35

Upper limit = mean + E = 76.2 + 8.85 = 85.05

Therefore, the 99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

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4 0
2 years ago
The sum of 4 twelves and 7 sixteens
dolphi86 [110]

Answer: 160

Step-by-step explanation:

So here they are telling you that there are 4 twelves, a.k.a 4 groups of 12. Which means that you have to multiply 4 x 12 = 48

Then there are 7 sixteens, a.k.a 7 groups of 16.

Which also means that you have to multiply 7 x 16 = 112

Add both numbers and there you have your answer!

I hope you found my answer helpful! :)

8 0
3 years ago
Pq is parallel to rs the length of rp is 6cm the length of pt is 18cm the length of qt is 21cm what is the length of sq
nata0808 [166]
If this is the picture the answer is 7cm 

8 0
3 years ago
Read 2 more answers
Can someone help me with this question
Tasya [4]
I’m pretty sure you add 78+55= 133
180-133=47
so 9x+2=47
subtract 2 from 47 and itself
so 9x=45
divide 9 and 45 by 9
so x=5
8 0
3 years ago
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