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zheka24 [161]
3 years ago
14

>
1. \sf{\:Find\:the\:sum\;of\:}\frac{3}{2a}\:and\:\frac{1}{6a}\\\sf{in\:simplest\:form.}
\\
What's the answer? ;-;​
Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

\frac{3}{2a}  +  \frac{1}{6a}  \\  \\  \frac{9}{6a}  +  \frac{1}{6a}  =  \frac{9 + 1}{6a}  \\  \\  =  \frac{10}{6a}  =  \frac{5}{3a}

I hope I helped you^_^

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What is the value of x in the equation 6(х + 1) — 5х = 8 + 2(x — 1)?
Licemer1 [7]

Multiply the first bracket by 6.

Multiply the second bracket by 8

6(x+1)-5x= 8+2(x-1)

6(x)+6(1)-5x= 8+2(x)+2(-1)

6x+6-5x= 8+2x-2

6x-5x+6= 8-2+2x

x+6= 6+2x

Move +2x to the other side. Sign changes from +2x to -2x.

x-2x+6= 6+2x-2x

-x+6= 6

Move +6 to the other side. Sign changes from +6 to -6.

-x+6-6= 6-6

-x=0

Multiply by -1 for -x and 0

-x(-1)= 0(-1)

x= 0

Answer: x= 0

6 0
3 years ago
A bag of marbles comes with 8 purple marbles 12 red marbles and six blue marbles what is the ratio of red marbles to all the mar
ASHA 777 [7]

Answer:

6:13 or 6/13

Step-by-step explanation:

the total number of marbles is 26

the total number of red marbles is 12

6 to 13

6:13 OR 6/13

<em>(I was not sure if I was supposed to leave it as 12:26 or simplify it to 6:13, but I think 6:13 is more reasonable since it is asking for a ration)</em>

5 0
4 years ago
The average customer waiting time at a fast food restaurant has been 7.5 minutes. The customer waiting time has a normal distrib
tatuchka [14]

Answer: C . H_0:\mu\geq7.5 and H_a:\mu

Step-by-step explanation:

Definition:

Null hypothesis(H_0) is a statement about the population parameter according to the objective raised by the researcher . It contains '=' , '≤' and  '≥' signs.

Alternative hypothesis(H_a) is also a statement about the population parameter but against null hypothesis  . It contains '≠' , '<' and  '>' signs.

Let \mu be the average customer waiting time for the population.

Given : The average customer waiting time at a fast food restaurant has been 7.5 minutes.

Objective of test : After using new system ,  the average customer waiting time is at least 7.5 or less than 7.5.

Then, the null and alternative hypothesis for this scenario will be :

H_0:\mu\geq7.5

H_a:\mu

4 0
4 years ago
The semi circle and isosceles triangle have the same base AB and the same area. Find angle x. Show workout.
Nina [5.8K]
r= \frac{AB}{2} \\ \\A_{semi\:circle }=\frac{r^2\pi}{2} \\ \\A_{triangle}=A_{semi\:circle }=\frac{r^2\pi}{2} \\ \\A_{triangle}= \frac{2r\times h}{2} =rh \\ \\\frac{r^2\pi}{2}= rh \\ \\h=\frac{r\pi}{2} \\ \\ \tan{x}= \frac{h}{r} = \frac{\frac{r\pi}{2}}{r} =\frac{\pi}{2} \\ \\x=\arctan{\frac{\pi}{2}}&#10;\\&#10;\\x \approx 57.52^o
7 0
3 years ago
A company installs 5,000 light bulbs. the lifetimes of the lightbulbs are approximately normally distributed with a mean of 500
Sergio039 [100]
First, determine the z-score of 675. 
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The z-score of 500 is,
                               z = 0. 
Subtracting the z-scores will give us 1.75. This is equal to 0.9599. 
                        = 0.9599 - 0.5 = 0.4599
Multiplying this to the given number of light bulbs,
                             n = 0.4599 x 5000 = 2299.5
Therefore, there is approximately 2300 light bulbs expected to last between 500 to 675 hours.
5 0
3 years ago
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