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Sonja [21]
2 years ago
15

My and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 8 to the number and multip

lied the sum by 3, it would equal 9. Which equation could Stephanie use to find the number, x?
A.
3 + (x + 8) = 9

B.
8(x + 3) = 9

C.
3(x + 8) = 9

D.
3(x) + 8 = 9
Mathematics
1 answer:
Vinil7 [7]2 years ago
6 0
C.
3(x+8)=9
Always make sure u do PEMDAS so since the number that Amy picked is unknown we will label it X. Next step was x added to 8 which will look like this x+8 but wants the sum multiplied by 3 so since we don't know the answer we will close it in parenthesis and multiply it by 3 which will look like 3(x+8) and lastly add the equal sign and the number 9.
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5/2x+1/4=12 solve for x
aniked [119]

Answer:

4/5 (2x + 5) − 4 =1

4/5(2x +5) = 1 +4

4/5 (2x +5) = 5

2x + 5 = 5 / (4/5)

2x + 5 = 5 (5/4)

2x + 5 = 25/4

2x = 25/4 - 5

2x = 25/4 - 20/4

2x = 5/4

x = (5/4) / 2

x = (5/4) (1/2)

x = 5/8

x = 0.625

7 0
3 years ago
Read 2 more answers
A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)
Maksim231197 [3]

Answer:

a

  The 95% confidence interval is  0.0503  <   p < 0.1297

b

The sample proportion is  \r p =  0.09

c

The critical value is  Z_{\frac{\alpha }{2} } =  1.96

d

 The standard error is  SE   =0.020

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  200

     The number of defective is  k =  18

The null hypothesis is  H_o  :  p  =  0.08

The  alternative hypothesis is  H_a  :  p > 0.08

Generally the sample proportion is mathematically evaluated as

            \r p =  \frac{18}{200}

            \r p =  0.09

Given that the confidence level is  95% then the level  of significance is mathematically evaluated as

        \alpha  =  100 -  95

        \alpha  =  5\%

        \alpha  =  0.05

Next we obtain the critical value of  \frac{ \alpha }{2} from the normal distribution table, the value is  

        Z_{\frac{\alpha }{2} } =  1.96

Generally the standard of error is mathematically represented as

          SE   =  \sqrt{\frac{\r p (1 -  \r p)}{n} }

substituting values

         SE   =  \sqrt{\frac{0.09  (1 -  0.09)}{200} }

        SE   =0.020

The  margin of error is  

       E =  Z_{\frac{ \alpha }{2} }  * SE

=>    E =  1.96  *  0.020

=>   E =  0.0397

The  95% confidence interval is mathematically represented as

     \r p  -  E  <  \mu <  p <  \r p  + E

=>   0.09 - 0.0397  <  \mu <  p < 0.09 + 0.0397

=>  0.0503  <   p < 0.1297

7 0
3 years ago
PLEASE HELP!!!!! I NEED THIS FAST!!!!!!
ioda
Who says V1=V2?
if we simplify we get
(2/3)pir₁³=12pir₂²
for V1 to equal V2


a.
solve for r₁ to find r₁ as a function of r₂
(2/3)pir₁³=12pir₂²
times 3/2 both sides and divide by pi
r₁³=18r₂²
cube root both sides
r₁=∛(18r₂²)

if solve for r₂
(2/3)pir₁³=12pir₂²
divide by 12pi both sides
(1/18)r₁³=r₂²
squer root both sides
√((1/18)r₁³)=r₂



double radius of pond which is r1
√((1/18)r₁³)=r₂
r₁ turns to 2r₁ to double radius
√((1/18)(2r₁)³)=r₂double
√(8(1/18)(r₁)³)=r₂double
(√8)(√((1/18)(r₁)³))=r₂double
√((1/18)r₁³)=r₂ so
(√8)(r₂)=r₂double
(2√2)(r₂)=r₂double
the radius of the tank is multipled by 2√2
5 0
3 years ago
105 students in 3 Classes
podryga [215]

Answer:

35

Step-by-step explanation:

just divide em

8 0
2 years ago
BRAINLEST PLUS 10 PTS <br> Solve for x pls
Anna11 [10]

Answer:

x=39

Step-by-step explanation:

3 0
3 years ago
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