solve the following equation and verify your answer.
[tex] \\ [/tex]
[tex] \huge \purple{ \frac{3x - 1}{5} - \frac{x}{7} = 3}[/tex]

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{3x-1}{5}[/tex] - [tex]\frac{x}{7}[/tex] = 3

Multiply through by 35 ( the LCM of 5 and 7 ) to clear the fractions

7(3x - 1) - 5x = 105 ← distribute parenthesis and simplify left side

21x - 7 - 5x = 105

16x - 7 = 105 ( add 7 to both sides )

16x = 112 ( divide both sides by 16 )

x = 7

To verify the answer substitute x = 7 into the left side of the equation and if equal to the right side then it is the solution

[tex]\frac{3(7)-1}{5}[/tex] - [tex]\frac{7}{7}[/tex]

= [tex]\frac{21-1}{5}[/tex] - 1

= [tex]\frac{20}{5}[/tex] - 1

= 4 - 1

= 3 = right side

Then x = 7 is the solution to the equation


Related Questions

A nurse gave an 8 year old child a dose of 6 mL of medicine. What would be the adult equivalent of this dosage

Answers

Ok read first heheheh where

Solve the proportion
x/10=9/5

Answers

Answer:

X = 10*9/5

= 2*9

= 18

Answer = 18

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

First way (equivalent fractions):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]\frac{x}{10}=\frac{18}{10}[/tex]

[tex]x=18[/tex]

Second way (cross multiplication):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]5x=90[/tex]

[tex]x=18[/tex]

23. What lines intersect to form the circumcenter of a triangle?
angle bisectors
midsegments
altitudes
perpendicular bisectors

Answers

Answer:

  (d)  perpendicular bisectors

Step-by-step explanation:

The circumcenter is the center of the circumcircle of the triangle. Each vertex of the triangle lies on that circle. The sides of the triangle are chords of the circle.

The perpendicular bisector of a chord is a line that intersects the center of the circle containing the chord. Hence, the perpendicular bisectors of the sides of a triangle will intersect the circumcenter.

A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.
Complete the table to determine the values of m and b.



Answers

Answer:

m= 2

b=9

Step-by-step explanation:

-4, 1 -3,3

put it into y2-x2 divided by y1-x1

y2= 3

x2= 1

y1= -3

x1=-4

3-1 divided by -4--3= 2/1    =2x

get one of the points either -4,1 or -3,3

If you use -4,1    -4=x 1=y

put it into y=mx+b and you get 1= -4(2)+b    simplify

1=-8+b add 8 to other side b=9

Does the table represent a function? Why or why not?

Answers

Answer:

B

Step-by-step explanation:

A function is happens when each input only has one output. In this table 4 and 5 have the same output, therefore this is not a function.

Solve.
(-2/3)(-1/4)

A. -2/7
B. -2/12
C. 2/12
D. 2/7


Answers

Answer:

C. 2/12

Step-by-step explanation:

multiplication  and when two negatives are multiplied together they always equal a positive i hope this helps have a great day :)

1/3 times 3/4 times 1/3 as a fraction so basically what is 0.08333333333 as a fraction

Answers

Answer:

mark me brainliest

Step-by-step explanation:

To write 0.08333333333 as a fraction you have to write 0.08333333333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.08333333333 = 0.08333333333/1 = 0.8333333333/10 = 8.333333333/100 = 83.33333333/1000 = 833.3333333/10000 = 8333.333333/100000 = 83333.33333/1000000 = 833333.3333/10000000 = 8333333.333/100000000 = 83333333.33/1000000000 = 833333333.3/10000000000 = 8333333333/100000000000

And finally we have:

0.08333333333 as a fraction equals 8333333333/100000000000

Answer:

Step-by-step explanation:

Its 1×3×1 on top And 3×4×3 on the bottom. That is 3/36, but simplify it...that's 1/12 if you answer has a one on top, you could take your .08333 and use the x^-1 button on your calculator. Also there are calculators that do fraction to decimal and decimal to fraction conversions. They have buttons like F>D and D>F

what is the ration of 8 lions and 4 tigers

Answers

Answer:

the ration is 2:1 when simplified

Which expression is equivalent to 24x+18y

A- 6 (4x) + 3 (6y)
B- 2 (12x) + 2 (6y)
C- 12x+ 12x + 12y+ 12y
D-6y + 6x + 6y + 6x + 6y

Answers

Answer:

A- 6 (4x) + 3 (6y)

Step-by-step explanation:

6 (4x) + 3 (6y) equals 24x+18y

How many solutions do 5-2x=2x-5

Answers

Answer:

1 solution is the answer

How i can answer this question?, NO LINKS, if you answer correctly i'll give u brainliest!

Answers

Answer:

6t+4

Step-by-step explanation:

Answer:

answer is 6t+4 other person is correct too

Classify the following triangle

(Chose multiple)

-Equilateral
-Isosceles
-Scalene
-Acute
-Equiangular
-Obtuse
-Right

Answers

Answer:

Scalene

Acute

Obtuse

Step-by-step explanation:

≠ Equailateral because all the sides in the given triangle are not equal nor are the three angles 60°

≠ Isosceles because the triangle doesn't have two equal sides nor two equal angles

= Scalene as all the sides are of different lengths and so are all the angles with different degrees.

= Actue because QPO and PQO are less than 90°, thus they are acute angles

≠ Equiangular because none of the given angles are of the same degree.

= Obtuse as POQ is greater than 90°

≠ Right because the given triangle does not have a right angle

Q6 (i) please i don’t know what i’m doing wrong

Answers

Start by squaring the numbers on both sides to get rid of the square root on both the left and right sides to get:

x + 5 = 5^2 – x

x + 5 = 25 – x

Then rearrange to make x the subject.

x + 5 = 25 – x

2x + 5 = 25

2x = 20

x = 10

Answer:

x = 4

Step-by-step explanation:

Square both sides

x+5 = 25-10sqrt(x)+x

20 = 10sqrt(x)

sqrt(x) = 2

Square both sides again

x=4

Verify sol

x = 4

who wants to help i really dont wanna do this question

Answers

Answer:

71

Step-by-step explanation:

(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)

(50) + (21) = 71

i need atleast 5 volunteers for the magic trick

Answers

What magic trick??

Are you gonna do a magic??

Sorry for a lot of questions.

Jovie is maintaining a camp fire. She has kept the fire steadily burning for 101010 hours with 151515 logs. She wants to know how many hours (h)(h)left parenthesis, h, right parenthesis she could have kept the fire going with 9 logs. She assumes all logs are the same.
How many hours can Jovie keep the fire going with 9 logs?

Answers

Answer:

Step-by-step explanation:

101010:151515 is the same as 2:3 or 2 logs for 3 hours. Using that you can set up your equation as such:

2:3

x:9

And then multiply across:

2x9 = 3x

18/3 = x

6 = x

Jovie can keep the fire running for 6 hours with 9 logs.

Another way to do this is to divide the log numbers, 9/3 = 3, and then multiply the hours by this number, 2x3 = 6.

Hope that helps

Investors buy a studio apartment for $150,000. Of this​ amount, they have a down payment of $37,500.

a. Their odwn payment is what percent of the purchase price?
b. what percent of the purchase price would a 67,500 down payment be?


a. The down payment is __?__% of the purchase price.
(Type a whole number.)

b. A 67,500 down payment would be __?__% of the purchase price.
(Type a whole number.)

Answers

Divide the down payment by the purchase price then multiply by 100 to get the percent.

A. 37,500 / 150,000 = 0.25

0.25 x 100 = 25%

B. 67,500/150,000 = 0.45

0.45 x 100 = 45%

algebra 1
F(x) passes through 0, -1 and 5 , 14
G(x) passes through -6 , -1 and -1, 14

Describe two types of transformations that can be used to transform f(x) to g(x)

Solve for k in each type of transformation.

Write an equation for each type of transformation that can be used to transform f(x) to g(x).

Answers

f(x)=0,-1,5,14
g(x)= -6, -1, -1, 14
g(x)=f(x)+k
-6= 0+k
K=-6
A)
B) g(x)=f(x)+k
-1=-1+ k
k=-1+1=0
> 5.0
q(x)=f(x)+k
-1=5+k
k=-1-5=-6
g×=f×+k
14= 14+k
k= 0
K=-6,0,-6,0

A freight ship has been moving at 19 miles per hour for the past 2 days. Hugo recorded that the ship moved 155 miles yesterday and 92 miles today. For how many hours has Hugo been keeping track of the​ ship?

Answers

Answer:

13 hours

Step-by-step explanation:

155 + 92 = 247

247 / 19 = 13

pls help due soon i’ll mark brainliest

Answers

I can't see anything dude, you on something?

which polynomial function in factored form represents the given graph below?

Answers

Answer:

Question:which polynomial function in factored form represents the given graph below?

Answer:If a polynomial of lowest degree p has zeros at x=x1,x2,…,xn x = x 1 , x 2 , … , x n , then the polynomial can be written in the factored form: f(x)=a(x−x1)p1(x−x2)p2⋯(x−xn)pn f ( x ) = a ( x − x 1 ) p 1 ( x − x 2 ) p 2 ⋯ ( x − x n ) p n where the powers pi on each factor can be determined by the behavior of the graph

Step-by-step explanation:

CARRY ON LEARNING

BRAINLILEST NA LANG KUNG TAMA SALAMAT

(1 point)
9. Find the coordinates of A' (the new point), if A is A (-12. 4) translated 3 units to the right and
2 units down.
O(-15, 2)
O(-9,2)
O(-15, 6)
O(-9,6)

Answers

The new coordinates are (-9,2)

Which line plot (s) represents 2/4?

Answers

Answer:

Number 1= 5th vertical line

number 2= 2nd vertical line

number 3= halfway between 2nd and 3rd vertical line

Step-by-step explanation:

Please help!!!! :) thank you!

Answers

Answer:x-3

Step-by-step explanation:

f(x) = 3√3x
g(x) = 3x+2​

Answers

Answer:

A

Step-by-step explanation:

A worker earns $30 every 4 hours. How much would the worker earn in 19 hours?

Answers

Step-by-step explanation:

30/4 = 7.5 per hour

now,

7.5 × 19 = 142.5

$142.5

Answer:

$142.50

Step-by-step explanation:

30 divide by 4 = 7.5

So each hour the worker would earn $7.50

7.5 x 19= The worker will earn 142.50 after working 19 hours.

Complete all 4 problems

Answers

Answer:

7)-6a

8)7

9)x-1

10)8-k

Step-by-step explanation:

Here in every steps we took like terms to be added and finally there are no more like terms we cannot add nor subtract and we get answer

Answer:

7. -6a

8. 6x +5

9. x + 1

10. -k + 8

Step-by-step explanation:

7. A=1  1-7= -6  a - - 7a = -6a

8. 3x + 3x= 6x

6-1=5

6x+5

9. -8x + 9x = x

3-2 =1

x+1

10. 4+4 =8

k- 2k= -k

-k + 8

- is dilated to be ' ' ' '. The original is the center of dilation.


What scale factor is used to create the dilation?

Answers

The scale factor is 5

In the first image, you can see that the pre image square it 1 unit long and the image is 5. How do you get 1 to 5, you multiply by 5. So the scale factor is 5.

F. A marketing company offers to pay $25 to the first 100 people who respond to its advertisement
and complete a questionnaire regarding its client's product. This will produce which type of
sample?
A. simple random sample
C. voluntary response sample
B. convenience sample
D. multistage cluster sample


HELPP ASAP PLZZZZZZZ LIKE RNN plzzzzzzz

Answers

Answer:

Convenience sample

Step-by-step explanation:

Getting paid to respond

B would be correct I think

While Jayden was at school, his house lost electrical power. By
the time the electrical power came back on the temperature inside the
house was 86°F. The air conditioner immediately started to cool the
house.Let f(x) represent the temperature, in degrees Fahrenheit, of
Jayden's house x minutes after the air conditioner started to cool the
house.What is the meaning of the statement f(25)=78?

Answers

Answer:

after 25 minutes the temperature was at 78 degrees

Step-by-step explanation:

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