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
Bas_tet [7]
2 years ago
11

Solve for y in terms of x (rewrite each equation so that it starts with "y=")

Mathematics
1 answer:
White raven [17]2 years ago
8 0

answers:

a. y = -6/5x + 4

b. y = 1/2x - 2

Step-by-step explanation:

a.

5y = 20 - 6x

y = 20/5 - 6/5x

y = -6/5x + 4

b.

-8y = -4x + 16

y = -4/-8x + 16/-8

y = 1/2x -2

You might be interested in
11 more than a number q is negative 15 ; Solve for the variable.
Cloud [144]

Answer:

q = -26

Step-by-step explanation:

Set up an equation where q is the unknown number:

q + 11 = -15

Solve for q by subtracting 11 from both sides:

q + 11 = -15

q = -26

4 0
2 years ago
PQR is a right angled triangle calculate the size of angle marked x
romanna [79]

Answer:

\displaystyle x \approx 37.4^\circ

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cosθ = adjacent over hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

Angle θ = <em>x</em>

Adjacent Leg = 5.8

Hypotenuse = 7.3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Cosine]:                                                                    \displaystyle cosx^\circ = \frac{5.8}{7.3}
  2. [Fraction] Divide:                                                                                             \displaystyle cosx^\circ = 0.794521
  3. [Equality Property] Trig inverse:                                                                    \displaystyle x^\circ = cos^{-1}(0.794521)
  4. Evaluate trig inverse:                                                                                      \displaystyle x = 37.39^\circ
  5. Round:                                                                                                             \displaystyle x \approx 37.4^\circ
8 0
2 years ago
When taking skinfold measurement readings only one attempt per site is necessary for an accurate reading.a. Trueb. False
Eva8 [605]

Answer: False

Step-by-step explanation: Skinfold measurements is one of the oldest ways of measuring a person's fat percentage,it's usually taken in specific areas of the body where there are Skinfolds,while taking this measurements it is expected that the person taking it does the average of 2or more repeated measurements in order to ensure that the actual thickness of that area of the body is correctly entered.

It is specifically taken from the right side of the body,where the person pinches out the Skinfolds away from the body by attaching a caliper ,this is to ensure that only the fatty laters are considered, it is mainly presented in percentage.

3 0
3 years ago
Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the
sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let y(t) be the depth of water in the barrel at time t,  where y is measured in inches and t in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

                                                 \frac{dy}{dt}=-k\sqrt{y}

where k is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by \frac{1}{\sqrt{y}}

\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k

Multiply by dt

\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt

Take integral

\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt

Integrate

2\sqrt{y}=-kt+C

Isolate y

y(t)=(\frac{C}{2} -\frac{k}{2}t)^2

We know that the water level starts at 36, this means y(0)=36. We use this information to find the value of C.

36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12

y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2

At t = 1, y = 34

34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}

So our formula for the depth of water in the barrel is

y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\

To find the time, t, at which all the water leaks out of the barrel, we solve the equation

\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0
3 years ago
Which transformation would transform the shaded figure onto the unshaded figure????
Rzqust [24]

Answer: A dilation

Step-by-step explanation:

A dilation is when you change the scale factor of an object to take up more or less space to it into the desired area.

5 0
3 years ago
Read 2 more answers
Other questions:
  • In a fireplace, about 3/4 of an 18 inch log will burn in 1/3 of an hour. How many hours will it take to burn 2 1/2 logs
    8·1 answer
  • A book sold 39,300 copies in its first month of release. Suppose this represents 6.3% of the number of copies sold to date. How
    6·1 answer
  • In the San Gabriel Mountains in California, lookout station Running Deer is 18 kilometers due west of station Lazy Bear. The bea
    14·1 answer
  • Find the value of x
    13·1 answer
  • PLEASE HELP ME. I WOULD REALLY APPRECIATE IT IF YOU DO. I REALLY NEED HELP. THANK YOU!
    11·2 answers
  • predict the percentage of high school students who​ smoke, assuming that 25 25​% of adults in the region smoke. Use 25 25​, not
    14·1 answer
  • Which measurement would Lan need to know when he buys flooring for his kitch
    5·1 answer
  • a group buys 6 hot dogs and 3 hamburgers for a total of $27.75. the hamburgers cost $1.75 more than a hot dog. what is he cost o
    8·1 answer
  • Need help on this please
    13·1 answer
  • Sophie earns $12.80 per hour babysitting. She has to repay a loan to her parents in the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!