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
Rus_ich [418]
1 year ago
10

dle" class="latex-formula">
Find the gradient of the linear relation
Mathematics
2 answers:
vladimir1956 [14]1 year ago
8 0
  • 3y-5x=10

Isolate y

  • 3y=5x+10
  • y=5/3x+10/3

Compare to slope intercept form y=mx+b

Slope=m=5/3

kompoz [17]1 year ago
7 0

Answer:

\dfrac{5}{3}

Step-by-step explanation:

To find the gradient (slope) of the given <u>linear relation</u>, use <u>arithmetic operations</u> to isolate y:

Given relation:

3y-5x=10

Add 5x to both sides:

\implies 3y-5x+5x=10+5x

\implies 3y=5x+10

Divide both sides by 3:

\implies \dfrac{3y}{3}=\dfrac{5}{3}x+\dfrac{10}{3}

\implies y=\dfrac{5}{3}x+\dfrac{10}{3}

<u>Slope-intercept form of a linear equation</u>

y = mx+b

where:

  • m is the slope (gradient)
  • b is the y-intercept

Comparing the rewritten equation with the slope-intercept formula, the gradient (slope) of the given linear relation is ⁵/₃.

Learn more about linear equations here:

brainly.com/question/27317293

brainly.com/question/27781455

You might be interested in
Aisha just received a paycheck from her new job she spends some of it buying music online and saves the rest in a bank account h
postnew [5]
Set y equal to 25 because this is the amount of money Aisha wants to save. This gives you 25 = 50-1.99x. Now we can solve for x, which is the variable. First, subtract 50 from both sides so that you can get the variable, x, by itself. After subtracting 50 from both sides, you are left with -25 = -1.99x . If it is easier for you, you can put the numbers on opposite sides so it reads -1.99x = -25 . Now divide both sides by -1.99 so that x is by itself. So -1.99x ÷-1.99 = 1x which is equal to just x and -25÷-1.99 = about 12.56, which is a decimal. (Remember that when you divide a negative number by a negative number, it becomes a positive number) Finally we have x = 12.56 (or 1x = 12.56) with 12.56 being equal to the number of songs Aisha can buy if she also wants to save money in her bank account. However, nobody can buy only .56 or part of a song. Round down to the nearest whole number, which is 12. This is how many songs she can buy and it makes sense because it is 12 entire songs, not 12 and just the chorus of a song. If you want to check, you can plug in 12 for x and she shouod have a little more than $25 in her bank account. So Aisha can buy 12 songs is she wants to save $25. I hope this helped :)
3 0
3 years ago
Three more than a number is 15
podryga [215]

Answer:

The number is 12

Step-by-step explanation:

If 15 is three more than the number is three less so you do, 15 - 3 which is 12.

I hope this helps

7 0
2 years ago
A patient who originally weighed 340 pounds lost 60 pounds. What percent of his original weight did he lose?
Semenov [28]

Answer:

82.35%

Step-by-step explanation:

60 divided by 340=0.17647058823

Multiply that by 100 and you get 17.647058823

Next, round and you get 17.65

100-17.65=82.35

4 0
2 years ago
A person is trapped in a burning building 60feet off the ground. A rescuer has a 70 foot ladder, but for safety purposes the lad
Neko [114]
Yes because, if the building is 60 ft from the ground and the ladder is 70 ft,shouldn’t it escalate an extra 10 ft because this is technically an emergency and it can be considered to be used as a reason for safety purposes, if I’m not mistaken
3 0
2 years ago
Anything helps please help me!
dimaraw [331]
5 1/2 = 11/2
11/2 x 3/4 = 33/8 = 4 1/8
answer is B. 4 1/8
8 0
3 years ago
Other questions:
  • When you roll a die, what kind of probability are you using
    9·1 answer
  • Solve the equation -4x=-40 x=
    13·2 answers
  • A shipping clerk can process 8 orders every 22 minutes. How many minutes will it take to process 14 orders
    6·2 answers
  • 26. The cost of a television set has increased continuously by 2%. In 1999, the average
    9·1 answer
  • Suzie made a mistake in the following problem.
    10·2 answers
  • The local high school football team, the Falcons, has a contest where three letters are chosen out of the seven letters F, A, L,
    10·1 answer
  • To draw a line that is parallel to 9x+12y=16, what should the slope of the line be?(1 point)
    15·1 answer
  • Given the function rule f(x) = x2 - 5x + 1, what is the output of f(-3)? (1 point)
    8·1 answer
  • Please help I don't know how to solve also can you explain<br>​
    7·1 answer
  • (06.04 MC)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!