1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
steposvetlana [31]
2 years ago
14

Solve and show work:

Mathematics
2 answers:
Katyanochek1 [597]2 years ago
7 0

Im a keep editing since this is timed.


#1 x-8a/6=3a-2x


Multiply each term by 6 to remove fraction .


6(x-8a/6)= 3a(6)-2x(6)


X-8a=18a-12x


Add 12x both sides


X+12x-8a=18a-12x+12x


13x-8a= 18a


Add8a both sides


13x-8a+8a=18a+8a


13x=26a

Divide each side by 13


13x/13=26a/13


X= 26a/13


Reduce and cancel common factor .


X= 13(2a)/13(1)


X=2a/1


X=2a


Problem #2

3x-2a=7a find a


Subtract 3x both sides


3x-3x-2a=7a-3x


-2a=7a-3x


Subtract 7a both sides

-2a-7a=7a-7a-3x


5a=-3x

Divide both sides by 5

5a/5=-3x/5


A= -0.6 or -3/5


Problem#3

3(bx-2ab)=b(x-7a)+3ab


Distributed property


3(bx)+3(-2ab)=b(x)+b(-7a)+3ab


Simplify

3bx-6ab=bx-7ab+3ab


Add -7a plus 3ab on right side


3bx-6ab= bx-4ab


Subtract bx both sides


3bx-bx-6ab= bx -bx -4ab


Simplify


2bx-6ab= -4ab


Add 6ab both sides


2bx-6ab+6ab=6ab-4ab


2bx=2ab


Divide 2b both sides


X= 2ab/2b


Cancel 2 common


X= ab/b


X=a




Elena L [17]2 years ago
3 0

Answer:

For solving an equation for a variable, we need to isolate the variable in the left side of the equation,

1. Given equation,

\frac{x-8a}{6}=3a-2x

x-8a = 18a - 12x ( By cross multiplication ),

12x+x-8a-18a=0

13x-26a=0

13x = 26a

\implies x = 2a

2. 3x-2a=7a

-2a-7a=-3x

-9a=-3x

\implies a = \frac{x}{3}

3. 3(bx-2ab)=b(x-7a)+3ab

3bx-6ab = bx - 7ab + 3ab

3bx - bx = 6ab - 7ab + 3ab

2bx=2ab

\implies x = a

4. \frac{2x+3b}{9}=\frac{x-b}{2}

4x+6b = 9x - 9b

4x - 9x = -6b - 9b

-5x=-15b

x=3b ( For x )

b=\frac{x}{3}  ( For b )

You might be interested in
A manager that owns 3 local area Car Maintenance Garages was researching certifications of mechanics that worked for her company
kvasek [131]

Answer:

B. 1/2

Step-by-step explanation:

In the picture attached, the Venn diagram is shown

amount of ASE certified brakes mechanics: 4+2+2+1 = 9

amount of mechanics: 4+2+2+1+3+3+3 = 18

The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2

7 0
2 years ago
Which two factors of 48 contain a factor that is a prime number
seraphim [82]

Answer:

3 and 16

Step-by-step explanation:

6 0
2 years ago
A recipe submitted to a magazine by one of its subscribers’ states that the mean baking time for a cheesecake is 55 minutes. A t
EastWind [94]

Answer:

t=\frac{59.4-55}{\frac{3.239}{\sqrt{10}}}=4.296    

The degrees of freedom are given by:

df=n-1=10-1=9  

The p value for this case is given by:

p_v =P(t_{(9)}>4.296)=0.001  

And for this case the p value is lower than the significance level so we have enough evidence to reject the null hypothesis and then we can conclude that true mean is higher than 55.

Step-by-step explanation:

Information given

We have the following data: 54 55 58 59 59 60 61 61 62 65

The sample mean and deviation can be calculated with the following formulas:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X-i -\bar x)^2}{n-1}}

\bar X=59.4 represent the sample mean

s=3.239 represent the sample standard deviation

n=10 sample size  

\alpha=0.05 represent the significance level

t would represent the statistic  

p_v represent the p value

System of hypothesis

We want to test if the true mean is higher than 55, the system of hypothesis would be:  

Null hypothesis:\mu \leq 55  

Alternative hypothesis:\mu > 55  

Replacing the info given we got:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

And replacing the info given we got:

t=\frac{59.4-55}{\frac{3.239}{\sqrt{10}}}=4.296    

The degrees of freedom are given by:

df=n-1=10-1=9  

The p value for this case is given by:

p_v =P(t_{(9)}>4.296)=0.001  

And for this case the p value is lower than the significance level so we have enough evidence to reject the null hypothesis and then we can conclude that true mean is higher than 55

8 0
3 years ago
What is the value of the expression show when n= 6<br> “8 less than the quotient of 42 and a number”
NeX [460]

Answer:

-1

Step-by-step explanation:

Your answer is -1 because you replace the variable n with 6. 42/6 = 7. 8-7 = -1

8 0
3 years ago
Which steps can be used to solve for the value of y?<br>(2013<br>(y +57) = 178​
tigry1 [53]

Answer: y = 121

(y+57) = 178

y+57= 178

y = 178 -57

y = 121

6 0
2 years ago
Other questions:
  • A prime polynomial cannot be written as a product of lower-degree polynomials. Which polynomial is prime? A)8x2 – 10x – 3 b)8x2
    8·2 answers
  • What is the arithmetic rule to the sequence: <br>1/3,4/3,7/3<br><br>find: f(10)
    10·1 answer
  • -15 + 8x = x+3<br> Help me please!!
    8·1 answer
  • Which phrase provides the best definition of sedimentary rocks?
    12·2 answers
  • Benny is 12 years old. He is currently 200% of his sisters age. What percent of Benny's age will his sisters age be in 4 years?
    10·1 answer
  • Find the slope of the line 25 POINTS WILL MARK BRANLIST
    10·1 answer
  • For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
    9·1 answer
  • You weigh a random sample of adult golden retrievers and get the following results: 55, 64, 58, 61, 69, 64, 59, 69, 72, and 65.
    5·1 answer
  • 1 1/3 Divided by 5/6
    12·2 answers
  • 13. Find the equation of the line through the points (3, -1) and (6, 7).
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!