why do you multiply by 4/3 when you have 1/2x+2=3/4y when solving for y?

Answers

Answer 1

Step-by-step explanation:

You multiply by 4/3 because you are essentially "dividing" both sides by 4/3. You have to take the reciprocal of 3/4 which is 4/3 in order to cancel out the 3/4 because 4/3 x 3/4 will be 1. So the problem will look like this:

(1/2)x + 2 = (3/4)y

4/3[(1/2)x + 2] = 4/3 x 3/4y

4/3[(1/2)x + 2] = y

4/6 x + 8/3 = y

y = 2/3(x) + 8/3

And then from here, if they gave a value for x and y, you can solve for the 2 variables.


Related Questions

What is the slope of the line shown.

Answers

Answer:

The answer is negative one half. If I am wrong let me know because the picture is a little hard to read.

Step-by-step explanation: To find the slope, you look at the Y axis and see where the line crosses perfectly(or goes through) the Y axis first. Then, you look at the x axis and see where the line crosses perfectly on the x axis. For example, the line crosses the Y axis at negative, and the line crosses the X axis at positive 2.  The vertical line is the y axis and the horizontal line is the x axis.

-7g-12=-9g-28
Whats g

Answers

Answer:

g=-8

Step-by-step explanation:

5. Use the two given points and calculate the slope.
(3, 4), (5,9)

Answers

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

For this situation we have the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], where each variable represents a coordinate (e.g. in this case 4 could be [tex]y_{1}[/tex]). So first, let's define which coordinates will be the values of these variables:

(3,4): [tex]x_{1}, y_{1}[/tex]

(5,9): [tex]x_{2}, y_{2}[/tex]

Now we need to replace each variable with its given value: [tex]m = \frac{9-4}{5-3}[/tex]

And then do the subtraction to simplify: [tex]m=\frac{5}{2}[/tex]

Therefore, the slope of the line that passes through the points (3,4) and (5,9) is [tex]\frac{5}{2}[/tex].

The answer is 5/2. Cause of the slopes points so it would be 5/2.

Which of the following does not always maintain a shape's congruency?

A) Translation
B) Reflection
C) Dilation
D) Rotation

Answers

Answer:

C

Step-by-step explanation:

Dialation because when a shape is made bigger it cannot be mapped back on its self correctly

Ayah akan membuat sebuah kolam ikan hias. Kolam tersebut berbentuk lingkaran dengan panjang diameter 80 cm, luas tanah yang di perlukan untuk membuat kolam adalah??​

Answers

Answer:

[tex]A=5024\ cm^2[/tex]

Step-by-step explanation:

Father will make an ornamental fish pond. The pool is circular with a diameter of 80 cm, the area of ​​land needed to make a pool is ??

The diameter of a circular pool, d = 80 cm

It means that,

Radius, r = d/2

r = 40 cm

We need to find the area of the land needed to make a pool. The area of a circular path is given by :

[tex]A=\pi r^2[/tex]

Put the values in the above formula.

[tex]A=3.14\times (40)^2\\\\A=5024\ cm^2[/tex]

So, it will require [tex]5024\ cm^2[/tex] area of land to make a pool.

g(x) = 2 log(x - 1)
what is the inverse

Answers

Answer:

[tex]g^{-1}(x)=1+10^{x/2}[/tex]

Step-by-step explanation:

Inverse Function

Let's call:

[tex]y=2 log(x-1)[/tex]

Divide by 2:

[tex]y/2=log(x-1)[/tex]

Assuming the base of the log is 10, apply exponential base 10:

[tex]10^{y/2}=x-1[/tex]

Solving for x:

[tex]x=1+10^{y/2}[/tex]

Swap variables:

[tex]y=1+10^{x/2}[/tex]

Calling this function the inverse:

[tex]\boxed{g^{-1}(x)=1+10^{x/2}}[/tex]

a rectangular tank is 76cm long, 50cm wide and 40cm high, how many litres of water can it hold?​

Answers

Answer:

Volume of a cuboid or rectangular tank = side × side × side

or

volume of a cuboid or rectangular tank = length× width × height

volume of the rectangular tank = 76 × 50 × 40

volume of the rectangular tank = 152000cm³

Therefore the rectangular tank can hold 152000cm³ litres of water

A bag with 10 marbles has 2 red marbles, 4 yellow marbles, and 4 blue marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in simplest form.

Answers

Answer:

2/20 or 1/10

Step-by-step explanation: i hope this helps.

- 2x + 3y = 14
x + 2y = 7

Answers

Answer:

          x = -1 ,   y = 4

Step-by-step explanation:

x + 2y = 7   ⇒  x = 7 - 2y

- 2x + 3y = 14

- 2(7 - 2y) + 3y = 14

-14 + 4y + 3y = 14

-14 +7y +14 = 14 +14

   7y = 28

     y = 4

x = 7 - 2y = 7-2(4) = 7 - 8 = -1

If the diameter of a circle is 50 yards, the radius is

Answers

Answer:

r = 25 yds

Step-by-step explanation:

The diameter is twice the radius, so the radius is 1/2 of the diameter

r = 1/2 d

r = 1/2 ( 50 yds)

r = 25 yds

answer: r=25yd

Hope this helps!

Complete the following equality. 11 ft = in.

Answers

Answer:

11 ft =132in

Step-by-step explanation:

first u multiply the length value which is 12

11 x 12 = 132

PLEASE HELP
find the value of x !

Answers

Answer:

x = 32

Step-by-step explanation:

So we are given the measures of two of the three interior angles. 98° and 50°. We are also given that the value of the third interior angle is equal to x°. Remember, the sum of the interior angles of a triangle is 180°. Knowing this, we can make the equation:

x + 98 + 50 = 180

Now we solve for x. Subtract 50 from both sides.

x + 98 = 130

Subtract 98 from both sides.

x = 32

So the value of x is 32.

I hope you find my answer and explanation to be helpful. Happy studying.

please help i need it quickly i only have 5 minutes left. ill give brainliest.

Answers

Answer:

A

B

C

Step-by-step explanation:

A

11=4(7)-17

11=28-17

11=11

B

-13=4(1)-17

-13=4-17

-13=-13

C

-1=4(4)-17

-1=16-17

-1=-1

-6 = 3/8x - 2 + 1/8x
Answers:
x = -16
x = 8
x = -8
x = -4

Answers

Answer:

x = -8

Step-by-step explanation:

Hope This Helps!

Plz mark Brainliest

Answer:

x=−8

Step-by-step explanation:

Let's solve your equation step-by-step.

−6=3/8x−2+

1/8x

Step 1: Simplify both sides of the equation.

−6=3/8x−2+1/8x

−6=3/8x+−2+1/8x

−6=(3/8x+1/8x)+(−2)

(Combine Like Terms)

−6=1/2x+−2

−6=1/2x−2

Step 2: Flip the equation.

1/2x−2=−6

Step 3: Add 2 to both sides.

1/2x−2+2=−6+2

1/2x=−4

Step 4: Multiply both sides by 2.

2*(1/2x)=(2)*(−4)

If f(x)=3x^2-2 and g(x)=2x+4, Find (f-g)(x). Explain your process

Answers

The answer would be 3x^2-2x-6 (APEX

factorise x2-10x-24 plz help ​

Answers

Answer:

(х-4)(х-6)

Step-by-step explanation:

х¹= 4

х²=6

easy

Answer:

(x - 12)(x + 2)

Step-by-step explanation:

Given

x² - 10x - 24

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 12 and + 2 , since

- 12 × + 2 = - 24 and - 12 + 2 = - 10 , thus

x² - 10x - 24 = (x - 12)(x + 2) ← in factored form

Which of the following lists the numbers in asending order: -3/8, -0.32, -2/7, -0.3​

Answers

Answer:

its -3/8

Step-by-step explanation:

-3/8 < -0.32 < -0.3 < -2/7

HELP!!!!On Monday, Josh went to the Farmer's Market. He bought 5 peaches and 2 watermelons for $7.75. On Thursday, Josh went back to the Farmer's Market and bought 3 peaches and 4 watermelons for $10.95. Which of the following systems of equations can be used to determine the cost for one peach (p) and one watermelon (w)?

1. 5p+2w=$7.75
3p+4w=$10.95

2. 5p×2w=$7.75 (Wrong)
3p×4w=$10.95

3. 5w+2p=$7.75
3w+4p=$10.95

4. 5w×2p=$7.75
3w×4p=$10.95

Answers

Answer:

1. 5p+2w=$7.75

3p+4w=$10.95

Step-by-step explanation:

Just make sure the sign is adding and the w and p are in the right spots

Answer: 1. 5p+2w=$7.75

3p+4w=$10.95

Step-by-step explanation: did the test n got it correct, hope this helped :)

A company offering short term loans agrees to lend Nick $1,200 . The amount (plus interest) is repayable in one year, and the interest rate is 12% per month. What is the total amount that must be repaid? Give your answer in dollars to the nearest dollar. Do not include commas or the dollar sign in your answer. For example if your answer is $1,234.56 enter 1235 .

Answers

Answer:

The total amount is 1214.4

Step-by-step explanation:

Given

principal p=$1200

interest rate r= 12%= 12/100= 0.12

time t= 1

n= 12

we know that the compound interest formula is

A=p(1+r/n )^nt

A=1200(1+0.12/12)^1*12

A=1200(1+0.01)^12

A=1200(1.001)^12

A=1200*1.012

A=1214.

Answer:

Correct answers:

$2928$

Step-by-step explanation:

$2928$

We express the interest r in decimal form, so we have r=12%=12100=0.12. The principal is P0=$1,200, so the interest is I=P0⋅r⋅t=$1,200⋅0.12⋅12=$1,728. The interest paid is $1,728, so the total amount repayable is $1,200+$1,728=$2,928.

Jamie wants to purchase some books and plans for the library period the plants each cost $14 and each book cost $9.
Jamie can spend no more than $38. let b represent the number books purchased and p represent the number of plants purchased.
which inequality represents the situation?​

Answers

Answer:

38 ≥ 14p + 9b

Step-by-step explanation:

Answer:

83≤14p+9b

Step-by-step explanation:

What is the exponential form of the expanded form below? 10-10-10-10.10 O5-10 O5 O10 O10​

Answers

Answer:

10101010.10051050010010

Step-by-step explanation:

Ralph drove 272 miles in 4 hours. What was his average
speed? (per single hour – unit rate)PLEASE HELP MEE

Answers

answer: 68

work:

all you basically do is just divide 272 by 4

If Ralph drove 272 miles in 4 hours then 68 miles per hour is the average speed

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that Ralph drove 272 miles in 4 hours

We need to find his average speed

The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time

Speed=Distance/ Time

Average speed=272/4

=68 miles per hour

Hence, if Ralph drove 272 miles in 4 hours then 68 miles per hour is the average speed

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ2

Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
3x - y = 7
2x - 2y = 2
A. (2,-2)
B. (2,2)
C. (3,-1)
D. (3,2)

Answers

3x - y = 7
-> y = 3x - 7
2x - 2y = 2
Use the substitution method
2x - 2 ( 3x - 7 )=2
2x - 6x + 14 =2
-4x = 2-14
X = -12/-4
X = 3
Sub x = 3 into the eq y= 3x - 7
Y= 3*3-7
Y = 2 so the answer is D

Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+5=2(x+1)

Answers

Answer:

-2x + y = -3

Step-by-step explanation:

First, distribute the right side:

y+5 = 2x+2

Then, subtract both sides by 2x:

-2x + y + 5 = 2

Lastly, subtract both sides by 5:

-2x + y = -3

Hope this helped. If it did, please consider giving brainliest? :)

0.8,2/3,0.67,70% in order

Answers

Answer:

Step-by-step explanation:

1. 2/3

2. 0.67

3. 70%

4. 0.8

The following angle measures could form a triangle
(a)
31º , 84º , 75°
A True
B) False

(b) Explain why the angel measures form a triangle or do not form a triangle?

Answers

Answer:

They don't form a triangle because all triangles degrees have to add up to 180 if you add them all up its 190 so no they don't form a triangle.

Step-by-step explanation:

84+75+31=190

(2x + 3) + (1x + 2) =

Answers

3x+5


Combine like-terms
(2x+1x)+(3+2)

True or False?
If, |al = |b|, then either a = b or a = - b

Answers

Answer:

true

Step-by-step explanation:

Victoria filled up her car with gas before embarking on a road trip across the country. The car uses 1.75 gallons of gas for every hour driven, and after driving for 4 hours, there were 7 gallons of gas left in the tank. Write an equation for G,G, in terms of t,t, representing the number of gallons of gas remaining in Victoria's gas tank after tt hours of driving.

Answers

Answer:

G = 14 - 1.75(t)

Where G is the number of gallons of gas remaining;

14 represents the amount of gas in gallons in the full gas tank of the vehicle

t is the number of hours

Step-by-step explanation:

Here, we want to write an equation.

We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left

In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons

So therefore since we have 7 gallons left, the amount of gallons in the full tank of the vehicle will be 7 + 7 = 14 gallons

Hence, the equation we want to write will be;

G = 14 - 1.75(t)

Estimate the product of 2774 x 28

Answers

77,672 would be the product.
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