1

How do you solve #2j/7 - 1/7 = 3/14#?

Question

How do you solve #2j/7 - 1/7 = 3/14#?
How do you solve #2j/7 - 1/7 = 3/14#?

Answers

Rewrite with a common denominator or multiply through to remove the denominators then solve using standard arithmetic manipulations.

Explanation:

Note that there are two possible answers depending upon the interpretation of #2j/7#

Interpretation 1 : #2j/7# is intended to be a multiplication: #2(j/7)#
#2(j/7) - 1/7 = 3/14#
If we multiply all terms on both sides by #14# we get
#color(white)("XXXX")##4j - 2 = 3#
#color(white)("XXXX")##rarr j = 5/4#

Interpretation 2: #2j/7# is intended to be a mixed fraction#2+(j/7)#
(It is unusual, but not impossible, that a variable is part of a mixed fraction).

#2+(j/7) - 1/7 = 3/14#
Again, if we multiply all terms on both sides by #14# we get
#color(white)("XXXX")##28 +2j -2 = 3#
#color(white)("XXXX")##rarr 2j+26 = 3#
#color(white)("XXXX")##rarr 2j = -23#
#color(white)("XXXX")##rarr j = -23/2#


Similar Solved Questions

1 answers
10. The region bounded by y = x², y = 3x, is revolved about the x-axis....
10. The region bounded by y = x², y = 3x, is revolved about the x-axis. a) Sketch the region b) Sketch the solid and a representative shell. c) Set-up the integral to find the volume using cylindrical shells. DO NOT SOLVE!!!...
1 answers
SHORT TRUTH TABLE METHOD Determine the validity using the short truth table method. P>Q,~R>~S,~(Q&~S):~PvR
SHORT TRUTH TABLE METHOD Determine the validity using the short truth table method. P>Q,~R>~S,~(Q&~S):~PvR...
1 answers
You wish to buy a car for $12,000 at a 5% annual interest rate, compounded monthly....
You wish to buy a car for $12,000 at a 5% annual interest rate, compounded monthly. The loan will be repaid in 5 years with monthly payments. What is your monthly payment (calculated with the equations on the next page)? Compare your answer to that obtained with the built in function, PMT. Be sure t...
1 answers
Ms, Ayeesh has had dysmenorrheal and menorrhagia for several months. she is also anemic because of...
Ms, Ayeesh has had dysmenorrheal and menorrhagia for several months. she is also anemic because of the presence of a large fibroid seen by the ultrasound, a hysterectomy was recommended. after it was removed the uterus was opened to reveal multiple fibroids bulging into the uterine cavity and displa...
1 answers
Pall An experiment shows that a 114 mL gas sample has a mass of 0.170 g...
Pall An experiment shows that a 114 mL gas sample has a mass of 0.170 g at a pressure of 723 mmHg and a temperature of 34 °C. What is the molar mass of the gas? ΑΣΦ g/mol Submit Request Answer A Review | Constants 1 Periodic Table An experiment shows that a 248 - mL gas sample ha...
1 answers
Number 3 apply the theorem to find the desired Laplace transform. 2. L{x? e3*} 3. L{x...
number 3 apply the theorem to find the desired Laplace transform. 2. L{x? e3*} 3. L{x sinh6x} 5. L{x sin 8x} 6. L{x? e4x}...
1 answers
Oxygen O2O2 has a molar mass of 32.0 g/molg/mol. What is the average translational kinetic energy...
Oxygen O2O2 has a molar mass of 32.0 g/molg/mol. What is the average translational kinetic energy of an oxygen molecule at a temperature of 299 KK ? A- Suppose an oxygen molecule traveling at this speed bounces back and forth between opposite sides of a cubical vessel 0.17 mm on a side. What is the ...
1 answers
Exercise 15-11 a-b (Part Level Submission) The following are the job cost related accounts for the...
Exercise 15-11 a-b (Part Level Submission) The following are the job cost related accounts for the law firm of Sheridan Associates and their manufacturing equivalents: Law Firm Accounts Supplies Salaries and Wages Payable Operating Overhead Service Contracts in Process Cost of Completed Service Cont...
1 answers
Problem 9-10 Cost of Equity The earnings, dividends, and stock price of Shelby Inc. are expected...
Problem 9-10 Cost of Equity The earnings, dividends, and stock price of Shelby Inc. are expected to grow at 6% per year in the future. Shelby's common stock sells for $25.75 per share, its last dividend was $2.50, and the company will pay a dividend of $2.65 at the end of the current year. a. Us...
1 answers
Three pipes are in parallel configuration with a total head loss of 20.3 m. The pipe...
Three pipes are in parallel configuration with a total head loss of 20.3 m. The pipe data are: Pipes' data Pipe L (m) D (m) Absolute roughness (mm) Relative roughness (Absolute roughness / D) 1 100 0.08 0.24 0.003 2 150 0.06 0.12 0.002 3 80 0.04 0.20 0.005 Use density = 1000 kg/m^3...
1 answers
You are planning to make monthly deposits of $100 into a retirement account that pays 9...
You are planning to make monthly deposits of $100 into a retirement account that pays 9 percent interest compounded monthly. If your first deposit will be made one month from now, how large will your retirement account be in 21 years?...
1 answers
QUESTION 2 (40 MARKS) Figure Q2 show Binary to Gray code converter block diagram. Based on...
QUESTION 2 (40 MARKS) Figure Q2 show Binary to Gray code converter block diagram. Based on that figure, design: (a) Circuit using logic gates. Obtain the truth table and represent Yo, Y1, Y2 and Y3 in minimized SOP Boolean algebra term. Draw the circuit using logic gates (CO2:P03 - 20 Marks) (b) Cir...
1 answers
What about monopolies: for some of us, we still live in areas where there is NO competition for basic, necessary services (which are not luxuries, or for that matter, choices) such as water, and as su...
What about monopolies: for some of us, we still live in areas where there is NO competition for basic, necessary services (which are not luxuries, or for that matter, choices) such as water, and as such, we are at "the mercy" of these companies that do provide the service....
1 answers
How are supplier relationships different in lean systems?
How are supplier relationships different in lean systems?...
1 answers
D Question 15 5 pts How many boundary conditions do we need to specify for the following differential equation? 1эт...
D Question 15 5 pts How many boundary conditions do we need to specify for the following differential equation? 1эт two O four O one none O three D Question 15 5 pts How many boundary conditions do we need to specify for the following differential equation? 1эт two O four O ...
1 answers
O KINETICS AND EQUILIBRIUM Deducing a rate law from the change in concentration over time A...
O KINETICS AND EQUILIBRIUM Deducing a rate law from the change in concentration over time A chemistry graduate student is studying the rate of this reaction: 2H, PO, (aq) — P,0, (aq) +3H ,0 (aq) She fills a reaction vessel with H, PO, and measures its concentration as the reaction proceeds: ti...

-- 0.046089--