ax + by = c
To solve each literal equation for the given variable

Answers

Answer 1

Answer:

Step-by-step explanation:

For a:

ax = c - by

a = (c - by)/x

For x:

ax = c - by

x = (c - by)/a

For b:

by = c - ax

b = (c - ax)/y

For y:

by = c - ax

y = (c - ax)/b


Related Questions

In February, Paul's electric bill was three dollars more then one-half his gas bill. If the electric bill was ninety-two dollars, what was the gas bill?

Answers

Answer:

49$

Step-by-step explanation:

working together Alberto and Amanda can paint a fence in 4.12 hours. had she done it alone it would have taken Amanda 10 hours. find how long it would take Alberto to do it alone.

Answers

Answer:

10 hrs

Step-by-step explanation:

4.12/2 = 2.06 hrs / person

Which of the following problems can be represented by the equation below? 5x - 15 = 15x

Answers

Answer:

6

Step-by-step explanation:

5x-15=15x

    +15  +15

5x=30

5/5=1

30/5=6

1=6 or x=6

Your answer to 5x-15=15x is -3/2

#1 Shane bought 4 shirts for $17 and 4 pants. He spent a total of $71.
How much did each pant cost?


#2 Julie has 4 more apples than Sam. Julie and Sam have a total of 30
apples. Find the number of apples Julie has


Help me out please

Answers

Each pant cost $13.50 because 71-17=54 and 54/4=13.5. Julie has 17 apples.

Find x, when p(x) = -1,

Answers

Answer:

positive or negative 4

Step-by-step explanation:

p(x) is another form of saying y. plug in -1 as the y value. then look where on the graph it touches the line

Which polynomial is in standard form?
A)
2x - 3x2 - 4x} + 6x4 + 8
B)
2x4 - 7x² - 6x² + 3x + 9
5 + 7x2 + 6x + 3x5 + x
D)
5 + 7x3 - 6x² + 3x + 9x

Answers

Answer:

A

Step-by-step explanation:

1. Diquan bought a shirt for $20 and paid 10% in sales tax. What was total cost of
the shirt

Answers

Answer:

22 dollars

Step-by-step explanation:

20/10=2 dollars + 20= 22

i dont get this question.

Answers

It is 12 - 2/3 = 18, then solve :)
hope that helps :D

A community is planning to build a rectangular garden. The width of the garden is 17 /4 feet (ft), and the perimeter of the garden is 24.5 ft. The community planners want to spread mulch on the entire garden. How many square feet of mulch will be needed?

Answers

Answer:

34 square feet

Step-by-step explanation:

First, you need to find the other side of the garden in order to find the area a=l*w

The formula to find the length is, p-w*2=x x÷2=l

because, perimeter is l+l+w+w and area is just l*w

4.25*2=8.50

24.50-8.50=16

16÷2=8

l=8

So now we need to multiply the length and width to get the area.

8*4.25=34 sq. ft.

I hope that helps!

Which are perfect square trinomials? Select two options. x2 − 9 x2 −100 x2 − 4x + 4 x2 + 10x + 25 x2 + 15x + 36
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C and D

Step-by-step explanation:

i just took the quiz

From the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25

Determining perfect square trinomials

Recal that,

An expression is a perfect square trinomial if it takes the form ax² + bx + c and satisfies the condition b² = 4ac

For x² -9

a = 1, b = 0, c = -9

0² ≠ 4(1)(-9)

0 ≠ -36

∴ x² - 9 is NOT a perfect square trinomial

For x² - 100

a = 1, b = 0, c = -100

0² ≠ 4(1)(-100)

0 ≠ -400

∴ x² - 100 is NOT a perfect square trinomial

For x² -4x +4

a = 1, b = -4, c = 4

(-4)² = 4(1)(4)

16 = 16

x² - 4x +4 is a perfect square trinomial

For x² +10x +25

a = 1, b = 10, c = 25

(10)² = 4(1)(25)

100 = 100

x² +10x +25 is a perfect square trinomial

For x² +15x +36

a = 1, b = 15, c = 36

(15)² ≠ 4(1)(36)

225 144

∴ x² - 4x +4 is a NOT perfect square trinomial

Hence, from the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25

Learn more on Determining perfect square trinomials here: https://brainly.com/question/2514855

please help help help

Answers

Answer:

I'm fairly sure its 4.93 grams.

Step-by-step explanation:

you take the origional water of 45.1ml and the new 52.3ml, and find the difference, which in this case is 7.2ml.

the density formula is D=M/V

D= Density

M=Mass

V=Volume

so it would be

D= 35.49/7.2

which is 4.93.

again this is just from what I remember of science class.

Answer: 4.93g/cm^3

Step-by-step explanation:

Formula for Density: D = mass / volume

We know that the mass of the unknown object is 35.49g

Mass = 35.49g

To find the volume

Initial water level: 45.1 mL

Final water level: 52.3mL

52.3cm^3 - 45.1cm^3 = 7.2cm^3

Volume = 7.2cm^3

Density = 35.49g/7.2^3

Density =

Ming made a triangular picture frame out of cardboard. The sides of the frame are 6.75 in., 6.75 in., and 8.375 in. Ming uses the addition below to determine the amount of string she needs to decorate the edges of the frame.

675 + 675 + 8.375 = 9.725. The 675 values are lined up with the 375 portion of 8.375.

Which explains Ming’s error?

Answers

Answer:

She should have included the decimal in 6.75 and aligned the decimal points to add 6.750 + 6.750 + 8.375 = 21.875.

Step-by-step explanation:

6.750

  6.750

+ 8.375

21.875

I hope this helps

Answer:

The answer is A

Step-by-step explanation:

I took the test

Question 9

A roller coaster has 4 cars, each with the same number of seats. There are 21 passengers seated in
the roller coaster, but 3 seats are empty. Write an equation that can be used to determine the
number of seats in each car.

Answers

Answer:

[tex]4n = 24[/tex]

Step-by-step explanation:

Given

[tex]Cars = 4[/tex]

[tex]Empty = 3[/tex]

[tex]Occupied = 21[/tex]

Required

Determine an equation to find number of seats

Let the number of seats in each car be represented by n;

If [tex]1\ car = n[/tex]

Then:

[tex]4\ cars = 4 * n[/tex]

[tex]4\ cars = 4 n[/tex]

This implies that there are 4n total seats

Solving further:

[tex]Occupied\ Seats + Empty\ Seats = Total[/tex]

Substitute values for the above parameters:

[tex]21 + 3 = 4n[/tex]

[tex]24 = 4n[/tex]

Reorder

[tex]4n = 24[/tex] ---- This equation can be used to solve for n

Hailey makes a necklace with 24 blue beads and 32 purple beads. She wants to make a bracelet that uses the same ratio of blue beads to purple beads. She plans to use 6 blue beads for the bracelet. How many purple beads should Hailey use

Answers

Answer:

8

Step-by-step explanation:

Ratio of blue beads to purple: 24:32

Reduce it using four and it becomes 6:8

question 7 pls help i need help pls

Answers

Answer:

112

Step-by-step explanation:

m<pmo + m<qmn = m<pmn 90+22=112

Answer:

112

Step-by-step explanation:

add 90 and 22

can you give me a real-world problem that involves multiplying a fraction and a whole number?

Answers

Answer:

Rishi spent 3/4 of an hour for 2 days working on his science project . kyle spent 1/4 of an hour for 6 days working on his science project. who spent more time working on his science project.

Step-by-step explanation:

rishi and kyle spent the same amount of time.

6/4 and 6/4 hours

What is the missing coefficient?
x2 + 4x
+
2x
x2 + x
please help me​

Answers

6
x^2 + 6x since 4x + 2x = 6x

Show the proper algebraic steps to solve 5x + 34 = 2(1 -7x)

Answers

Answer:

x=-1.68

Step-by-step explanation:

5x + 34 = 2(1 -7x)

5x+34=2-14x

5x+14x=2-34

19x=-32

x=1.68

Solve this
equation for m
y = mx + b

Answers

Answer:

m is represented as the slope

Step-by-step explanation:

The answe is the first one

17. A man can row at 8 km/hr in still water. If the
river is running at 2 km/hr, it takes him 48
minutes to row to a place and coming back. How
far is the place ?
(a) 1 km
(b) 2 km en
(c) 3 km
(d) 4 km

Answers

Answer:

(c) 3 km

Step-by-step explanation:

Speed in still water: 8 km/h

Speed of river: 2 km/h

Speed downstream: 8 km/h + 2 km/y = 10 km/h

Speed upstream: 8 km/h - 2 km/h = 6 km/h

total time both ways: 48 minutes = 48/60 hour = 0.8 hour

time to go upstream: t

time to go downstream: 0.8 - t

speed = distance/time

s = d/t

d = st

Upstream:

d =  st

d = 6t

Downstream:

d = st

d = 10(0.8 - t)

The distance upstream and downstream is the same.

6t = 10(0.8 - t)

6t = 8 - 10t

16t = 8

t = 0.5

d = 6t = 6(0.5)

d = 3

Answer: (c) 3 km

Andrea is selling candles for a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the
candles for $10 each. The function of her profit can be modeled by c(x) = 10x - 50. The x represents the number
of candles she makes. She only has enough supplies to make 100 candles. What is the independent variable?

Answers

The independent variable would be the Candles she sells for $10

Neena is listening to a song. It has a consistent beat. She counts 11 beats in
1 seconds. What is the constant of proportionality for the relationship of beats
to minutes? Show your work.

Answers

Answer:

11beats / 1 second = 660 beats /1 minute

The town of hillside has an elevation of 50 feet above sea level. The town of Lakeside has an elevation of -35 feet. A bicyclist rides from Lakeside to Hillside,and wants to find his change in elevation. He finds the difference between his final elevation, 50 feet, and his starting elevation, -35 feet. What is the difference?

Answers

Answer:

The difference is 85 ft.

Step-by-step explanation:

Elevation 1: 50 ft

Elevation 2: -35 ft

Difference = Elevation 1 - Elevation 2

Difference = 50 - (-35)

I can simplify this expression, as subtracting a negative number is the same as adding a positive number:

Difference = 50 + 35

Difference = 85

Answer: The difference is 85 ft.

What is 1 x 10^3 in standard form? Show work of how you did it please :)

Answers

Answer:

1×10^3 = 1000

Step-by-step explanation:

so basically its 1×10×10×10

The standard form of the given scientific notation is 1000.

The given scientific notation is 1×10³.

What is the standard form of a number?

The standard form means the process of writing very large expanded form of a number into small form or small number.

Now, the standard form of 1×10³ is

1×1000

= 1000

Therefore, the standard form of the given scientific notation is 1000.

To learn more about the standard form of a number visit:

https://brainly.com/question/13139379.

#SPJ2

Which relation represents a function?
1) {(0,3),(2,4),(0,6)}
2) {(-7,5),(-7,1),(-10,3), (-4,3)}
3) {(2,0),(6,2),(6,-2)}
4) {(-6,5),(-3,2),(1,2),(6,5)}

Answers

4 bc none of the x axis numbers are the same

2. and 100 are a zero pair.jia​

Answers

Answer:

More information please

Step-by-step explanation:

There is not enough information to complete the equation.

Claudia studied for 45 minutes. Crystal studied for 5 minutes. The number of minutes that Claudia studied is how many times the number of minutes that Crystal studied?

Answers

Answer:

school sucks man but you gotta do it or else you get reported to the RUSSIANS for not doing your hw so here you goo...

9

9x5=45

A school cafeteria spent $2,700 for ingredients necessary to prepare 450 meals. What is the rate spent per meal?

Answers

Answer:

$6

Step-by-step explanation:

If we divide the amount they spend by the amount of meals they make, we get 6. So this means that they spend $6 per meal.

Which sequence of transformations confirms congruence by mapping shape I onto shape II? A. a reflection across the x-axis and then a translation 15 units left B. a 90° clockwise rotation about the origin and then a translation 25 units up C. a 90° counterclockwise rotation about the origin and then a translation 10 units left D. a 180° rotation about the origin and then a translation 10 units right

Answers

Answer:

The Answer is D.

Step-by-step explanation:

Answer: Its C

Step-by-step explanation:

I need helpppp with this question

Answers

Answer: Y = 6 and X = 5

Step-by-step explanation: Im not sure But i think that that your supposed to subtract by 2 so 8 - 2 would equal 6 and then 7-2 equals 5 so yeah

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