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
natulia [17]
3 years ago
10

The value of y directly varies with x, and y=5.4 when x =9. Find y when x= negative 10

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \textit{we also know that }
\begin{cases}
y=5.4\\
x=9
\end{cases}\implies 5.4=k9\implies \cfrac{5.4}{9}=k
\\\\\\
\cfrac{\quad \frac{54}{10}\quad }{9}=k\implies \cfrac{54}{10}\cdot \cfrac{1}{9}=k\implies \cfrac{3}{5}=k\qquad thus\qquad \boxed{y=\cfrac{3}{5}x}
\\\\\\
\textit{when x = -10, what is \underline{y}?}\qquad y=\cfrac{3}{5}(-10)
You might be interested in
The perimeter of the kitchen is 528 inches if the width of the kitchen is 120 inches what is the length of the kitchen
butalik [34]

Answer: 144 inches.


Step-by-step explanation:

1. To solve this problem you must remember the formula for calculate the perimeter of a rectangle, which is shown below:

P=2l+2w

Where l is the lenght and w is the width.

2. You know the perimeter and the width, then you can solve for the length, as following:

P-2w=2l\\l=\frac{P-2w}{2}\\l=\frac{(528in)-(2*120in))}{2}\\l=144in



7 0
3 years ago
The exponent indicates how many times the ( blank) is used as a factor.
stepladder [879]
Base number, like in the equation 4², 4 is the base number
8 0
3 years ago
You collect a total of $75 in donations from three people. The three donations are in the ratio 4 to 4 to 7. How much is each of
worty [1.4K]
Each smaller donation was for $20 The largest donation was $15 greater than the smaller donation. First, determine the size of each donation. Since they are in a ratio of 4:4:7, it's easiest to add the ratios together (4+4+7) = 15. Then divide the total donation by that sum (75/15) = 5. Finally, multiply 5 by each of the ratios. 5 * 4 = 20, 5 * 4 = 20, and 5 * 7 = 35 So the 2 smaller donations were $20 each, and the largest donation was for $35. The largest donation was $35 - $20 = $15 larger than one of the smaller donations.
7 0
3 years ago
As part of a college literature course, students must select three classic works of literature from the provided list and comple
monitta

Answer:

B. List each book on a separate piece of paper, place them all in a hat, and pick three

D. Number the books from 1 to 9 and use a random number table to produce 3 different one digit numbers corresponding to the books selected

Step-by-step explanation:

A simple random sample is a subset of a statistical population where every member has an equal chance of being selected.For example in a company with 500 workers, names of 100 workers can be selected from a hat containing the names of 500 workers.

8 0
3 years ago
Read 2 more answers
Find the equation of a line that is perpendicular to 4x+6y=1 that has a greater y intercept compared to 2x+3y=18
Marina86 [1]

Answer:

4y = 6x + 40

Step-by-step explanation:

The general equation of a straight line is y = mx + b

m is the slope and b is the y-intercept

let us write both equations in this form;

we have this as;

6y = -4x + 1

y = -4x/6 + 1/6

and;

2x + 3y = 18

3y = -2x + 18

y = -2x/3 + 6

So firstly we want to find an equation that is perpendicular to the first

When two lines are perpendicular, their slopes has a product of -1

The slope of the first line is -4/6

let the slope of the line we want be m

As per they are perpendicular;

-4/6 * m = -1

-4m/6 = -1

-4m = -6

m = 6/4

So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6

we can choose 10

and we have the equation as:

y = 6x/4 + 10

multiply through by 4

4y = 6x + 40

7 0
3 years ago
Other questions:
  • You should have ____ revolving credit lines. A. 3. B. 1 to 3. C. 2. D. 2 to 6
    13·2 answers
  • Anyone can help me out on this? :)
    15·1 answer
  • Whats the answer of 0.02x0.7
    15·2 answers
  • The measurement of the circumference of a circle is found to be 68 centimeters, with a possible error of 0.9 centimeter. (a) App
    6·1 answer
  • What Are The Areas Of The Squares Off Of The Legs❓
    5·1 answer
  • Please answer my question please
    5·1 answer
  • Which of the following is equal to the expression listed below?
    7·1 answer
  • Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2
    10·1 answer
  • Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total earni
    10·2 answers
  • Find the code word by completing the maze below. To complete the maze you must determine what type of triangle is formed by the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!