Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work

Answers

Answer 1

Answer:

[tex]x=\frac{d+c}{a-b}[/tex]

Step-by-step explanation:

The equation is:

a x - c = b x + d

so we subtract b x from both sides to group the terms that contain x on the left:

a x - b x - c = d

add c to both sides to isolate the terms in x on the left:

a x - b x = d + c

extract "x" as common factor on the left:

x (a - b) = d + c

divide both sides by the quantity (a - b) to isolate the "x":

x = (d + c) / (a - b)

or:    [tex]x=\frac{d+c}{a-b}[/tex]


Related Questions

which statement and reason are missing in the proof? A=A; reflexive

Answers

Answer:

a i guess there isnt a queston here

Step-by-step explanation:

Answer: hello there! the answer is a. <A ≅ <A; reflexive property, hope this helps :)

Step-by-step explanation: i just completed the unit practice test and got 100%

Complete the third step to solve the equation,
3 + 2x=-6x + 4
1.
Isolate the variable term on one side:
3 + 8x = 4
2.
Isolate the constant on the other side:
8x = 1
3.
Solve forx:
22
I need help with thissss

Answers

1. 1/8. 2. 1/8. 3. 1/8.

which expression is equivalent to the given expression. pls help :)

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\(a^{m})^{n} =a^{mn}[/tex]

[tex]\frac{(4m^{2}n)^{2}}{2m^{5}n}=\frac{4^{2}(m^{2})^{2}n^{2}}{2m^{5}n}\\\\\\=\frac{16m^{4}n^{2}}{2m^{5}n}\\\\\\=\frac{8m^{4}n^{2}}{2m^{5}n}\\\\\\=8m^{(4-5)}n^{(2-1)}\\\\\\=8m^{-1}n[/tex]

Sawyer got a gift card for his birthday and
wants to use it for a new video game. The game
costs $60, but his gift card only covers 50% of
that. His mom agrees to cover the rest, but says
he must pay the money back in three weeks.
How much does he have to pay each week if he
pays the same amount each week?

Answers

Answer:

30

Step-by-step explanation:

50/100×60

0.5×60=30

30

Write the constant term in 5a3b + 2ab2 + 3.

Answers

Answer:

the answer will be this

What is the answer to 3x + 4x - 2x

Answers

Answer:

5x

Step-by-step explanation:

3x + 4x - 2x

7x - 2x

5x

And that's on periodt

Answer:

5x

[tex]3 + 4 - 2[/tex]

[tex]7 - 2[/tex]

[tex]5[/tex]

At a garage, 820 cars were given a safety test. if 75% of them passed the safety test, how many cars were rejected?

Answers

Answer:

205 cars were rejected

Step-by-step explanation:

  x                  75

____             ____

820              100

cross multiply

100x=61500

simplify

x=615

820-615

anwer:205

hope it helps!

Davis has 15 quarters . Each quarter is 1 3/4 mm thick . If Davis stacked up all 15 quarters on top of each other , how tall would the stack be ?

Answers

Answer:

26 1/4

Step-by-step explanation:

1 3/4*15=26 1/4

If Davis has 15 quarters . Each quarter is 1 3/4 mm thick . If Davis stacked up all 15 quarters on top of each other , then 105/4 is the tallness of the stack.

What is Multiplication?

multiplication is a method of finding the product of two or more numbers.

Given,

Davis has 15 quarters

Each quarter is [tex]1\frac{3}{4}[/tex] mm thick.

We need to find the height, If Davis stacked up all 15 quarters on top of each other

This can be achieved by adding  [tex]1\frac{3}{4}[/tex]  for fifteen times or we can use multiplication.

We have to multiply 15 with  [tex]1\frac{3}{4}[/tex] .

Firstly   [tex]1\frac{3}{4}[/tex] is converted to improper fraction.

 [tex]1\frac{3}{4}[/tex] =7/4

Now 7/4×15

=105/4mm

Hence 105/ 4 is the tallness of stack.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ2

What is the slope of y + 2 = -2(x-3)

Answers

The Answer: -2
Recall that the slope is represented by the letter m in the equation : y=mx+b

Work:

Answer: -2 is the slope of the equation.

Step-by-step explanation:

thanks if you helped​

Answers

Answer:

The slope is 0
The line is a horizontal line
The line has no y-intercept

Solve for x in this equation: 3/4 + l 5-x| = 13/4

There are multiple other questions as well

Answers

1. 3/4
2. im not sure if it means after taking away 3/4, but if it is, its 10/4

x=10/4 and -30/4 i believe, im not too good with fractions, sorry if its wrong :((
Take the constants to the right side of the equation
|5-x|=13/4-3/4
|5-x|=5/2

When you remove the absolute value on the left side, you have to put a plus or minus sign, +- on the right side.

5-x=+-5/2

Solve for the positive equation:
5-x=5/2
-x=-5/2
x=5/2

Solve for the negative equation:
5-x=-5/2
-x=-15/2
x=15/2

Solution: x= 5/2, 15/2

(GIVING BRAINLIEST!!)

Describe an example of how gravity acts on a falling object and one way an object can overcome gravity.

Answers

Answer:

when you drop a pencil it will fall to the ground when you are in space if you drop a pencil than if will float

Step-by-step explanation:

The speed limit is 35 mph

Which equation represents the statement?

[tex]a. \: s < 35[/tex]
[tex]b. \: s \leqslant 35[/tex]
[tex]c. \: s > 35[/tex]
[tex]d. \: s \geqslant 35[/tex]

Answers

Answer:

[tex] b.~~s \le 35 [/tex]

Step-by-step explanation:

The speed limit is the maximum allowed speed. If the speed limit is 35 mph, you can drive at 35 mph or less than 35 mph. You need to show a speed that is less than or equal to 35 mph.

Answer:

[tex] s \le 35 [/tex]

The table below shows the U.S. average life expectancy at birth, in years,
in various decades.
Years since
1930
Life
Expectancy at
Birth
10
62.9
68.2
20
69.7
30
70.8
40
73.7
50
75.4
60
77.0
70
80
78.7
Us

Answers

Answer:

the answer is c

Step-by-step explanation:

because all the other ones are wrong besides d and c and I did the math and it was c

Answer:the answer is d

Step-by-step explanation:

What does acosd mean?​

Answers

Answer:

Y = acos( X ) returns the Inverse Cosine (cos-1) of the elements of X in radians. The function accepts both real and complex inputs. For real values of X in the interval [-1, 1], acos(X) returns values in the interval [0, π].

Step-by-step explanation:

extra poing again happy thanks giving

Answers

Answer:

Thanks for points :)

Step-by-step explanation:

I like ice cream :D

Answer:

TY!! :)

have a great day!

Step-by-step explanation:

please help. image below

Answers

the answer is c .............


A number line going from negative 10 to positive 10. A point is at negative 6.
What is the opposite of the graphed integer?

The opposite is .

Answers

the answer is 6

your welcome!

lol

Answer:

6

Step-by-step explanation:

(●'◡'●)

Help me please!! I’ll mark as brilliant

Which graph represents the solution set of this inequality?

-11 - 2d >_ 1

Answers

Answer:

letter a is the correct answer

Answer:

Graph C

Step-by-step explanation:

Khan

BTW: its 100% correct

PLEASE HELP ASAP PLEASE An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, the store offers a free bottle of the additive to customers who drive SUV's, who then provide information about their gas mileage on the store website. A customer argues that the type of vehicle could be a confounding variable in this study.

Which statement best describes the effect of the confounding variable?

Because vehicles of different sizes may respond similarly to the additive, it should be easy to conclude whether the additive improves gas mileage.
Because vehicles of different colors may show differences in gas mileage, the additive may improve the gas mileage in some vehicles but not in others.
Because owners of different types of vehicles may choose not to use the additive, those vehicles will not show an improvement in gas mileage.
Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

Answers

Answer:

Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

Step-by-step explanation:

Edge 2021

Whether the addition increases gas mileage for all vehicles may be difficult to determine.

What is sample space?

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

The type of vehicle is a confounding variable because it is related to both the independent variable (use of the fuel additive) and the dependent variable (gas mileage), and it could potentially influence the results of the study if not controlled for.

This is because the size of the vehicle, a complicating variable, may alter gas economy independently of the addition, making it challenging to assess the additive's actual impact. As a result, the study's findings might be erroneous or misleading.

Learn more about sample space here:

brainly.com/question/30206035

#SPJ3

I made a 3.5 hour phone call, it cost $10. How much would 1 hour be?

Answers

Answer:

1 hour would cost $0.35.

Step-by-step explanation:

Divide 3.5 by 10.

g(n) = n + 2; Find g(6)

Answers

Answer:

g(6)=8

Step-by-step explanation

they give you that the value of n is 6 so substitute it into the equation and solve. g(6)=6+2

g(6)=8

A professional volleyball
team won 28 games and
lost 22. What percent of
their games did they lose?
What fraction represents the
number of games they won?

Answers

Answer: Lost 44%, Games won: 28/50

Step-by-step explanation:

Percentage = (part / whole) * 100

The total number of games the team played is 28 + 22, which equals 50.

Percentage of losses = (22/50) * 100 = 44%

Fraction of wins = 28/50

6. A music video website received 5.000
comments on a new song they released
The next day, the artist performed the song
on television and an additional 1500
comments were made on the website. What
was the percent of increase? ​

Answers

Answer:

30%

Step-by-step explanation:

To be able to calculate the percent of increase between two numbers, you have to divide the increase by the initial number and multiply by 100:

Increase= 1,500

Initial number=5,000

Percent of increase=(1,500/5,000)*100

Percent of increase=0.3*100

Percent of increase=30%

According to this, the answer is that the percent of increase was 30%.

Help please
1/4 (8x + 12y +16z)

Answers

Answer:

8+12+164

Step-by-step explanation:

I started swimming at 8am.
12
9
3
6
When I finished swimming, the minute hand of the clock had turned 360°
What time did I finish swimming?

Answers

Answer:

360° will be when the clock has passed an hour, e.g. from 12 to 12. One hour is 60 minutes from 12 to 12, your answer is 9am

Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months’ worth in an emergency fund. If you only want to put 50% of your discretionary monies toward the emergency fund each month, how many months will it take to fully fund it, excluding interest accrual? (Note: Round up to the next whole month.) 4 months 6 months 10 months 11 months

Answers

Answer:

Answer is wrong

Step-by-step explanation:

Couldn't tell you how to get the answer I just know that when I got this answer wrong it told me the right answer.

In fact, most of the answers for this portion are wrong on here.

10.  $1,201.33

11.  $629.23

12. $7.74

13. $347.51

14. $3,753.78

15. 6

16. $25.24

17. $416.70

18. $2,903.67

19. $22.96

The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below.
24 26 24 27
27 24 29 26
34 30 30 28
23 30 24 19
14 26 26 26
Find the median number of vehicles going through the line in a 15-minute period.
A: 27 vehicles B: 25.85 vehicles C: 30 vehicles D: 26 vehicles

Answers

Answer:

The correct answer is: Option D: 26 vehicles

Step-by-step explanation:

Median is the middle value of a sorted data set.

The formula for median depends on the number of values in the dataset.

First of all we have to arrange the given data in order

So,

14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34

Counting the values in the dataset

n = 20

As the number of values is even, the formula for median will be

[tex]M = \frac{1}{2}(\frac{n}{2}th\ value+(\frac{n}{2}+1)th\ value)[/tex]

Putting the values

[tex]M = \frac{1}{2}(\frac{20}{2}th\ value+(\frac{20}{2}+1)th\ value)\\M=\frac{1}{2}(10th\ value +[10+1]th\ value]\\M= \frac{1}{2}(10th\ value + 11th\ value)[/tex]

The 10th value in dataset is 26 and 11th is also 26 so

[tex]M = \frac{1}{2}(26+26)\\M = \frac{1}{2}(52)\\M = 26[/tex]

Hence,

The correct answer is: Option D: 26 vehicles

What implications can you draw based on the coefficient of variation from these two data sets?

Summary statistics for WEIGHT and HEIGHT (both ratio variables) of American adults in different units:

Weight Height

Mean 160 pounds 66 inches

SD 30 pounds 4 inches

You cannot compare these two data sets using a coefficient of variation because they are in different units

A. That both sets of data are equally variable.

B. That the weight data is more variable than the height data.

C. That the height data is more variable than the weight data.

Answers

Answer:

B. That the weight data is more variable than the height data.

Step-by-step explanation:

Given that :

_________ Weight _____ Height

Mean ___ 160 pounds ___ 66 inches

SD _____ 30 pounds ____ 4 inches

The Coefficient of variation is the ratio of the standard deviation and mean of a particular variable.

Weight in pounds :

Standard deviation in pounds / mean in pounds

30 / 160 = 0.1875

Height in inches :

Standard deviation in inches / mean in inches

4 / 66 = 0.060

0.1875 > 0.060

Hence, weight data is more variable than height data.

dult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 73.4 inches tall. (to 2 decimal places)

Answers

Answer:

The z score is 1.57

Step-by-step explanation:

μ = 69.0, σ = 2.8 and x = 73.4

The objective of the problem is to obtain the z-score of a man 73.4 inches tall. The required z score is derived through the following formula "{x - μ / σ}"

z = 73.4 - 69.0 / 2.8

z = 4.4 / 2.8

z = 1.571428571428571

z = 1.57

Thus, the z score is 1.57.

Other Questions
True or false: African Americans joined the army to defend the nation against Britain during the war of 1812 By what number should 81 be divided to get a perfect cube can someone please help me. Can someone help me with this A recipe requires 7/8 stick of butter for each 1 1/4 cups of flour. Find the unit rate of sticks of butter to cups of flour. After seizing control of Japan's government, Japanese military leaders:OA. formed an alliance with communist states like the Soviet Union.OB. launched a much more aggressive campaign of expansion in Asia,OC. cut off all imports from the United States and its European allies.OD. harshly criticized totalitarian leaders in Germany and Italy. Richard is 11 years older than Sushil. Caroline is 8 years younger than Sushil. If the total of their ages is 60, how old is the youngest of them? Which would absorb the most radiant energy based on its texture?a rocky mountaina glaciera frozen lakea waxy leaf How does temperature influence chemical change A soccer ball is kicked with an initial speed of 12m/s at a 30-degree angle above the horizontal. Calculate the horizontal velocity and the initial vertical velocity. [Show all work, including the calculations with substitutions with units.] Find the distance between (-6,8) and (10,-4) Which driver is communicating with others on the road in an appropriate manner help me please!!!!!!!!!!!! If solving a system of linear equations by elimination or substitution I get that 0=0, as final or intermediate step depending on the system, it means (check all that apply)I have definitely made a mistake and need to review the resultIf the system of equations is 2 linear equations in 2 variables, there is infinity number of solutionIf the system of equations is 3 linear equations in 3 variables, there might be infinite number of solutionsIf the system of equations is n linear equations in n variables, there is one unique solution A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with aletter. If numbers can be repeated but letters cannot, how many possibilities are there?a. 65.000b 60,840 58,500d. 52,650Please select the best answer from the choices providedADMalwarebytesSave and ExitMoth this and returnUpdate A Afeitarse arreglarse (el pelo) Baarsecepillarse (los dientes) cortarse el pelo despertarse (e ie) ducharse levantarse lavarse (la cara) pedir prestado, -a (a) pintarse (las uas) ponerse prepararse secarse vestirse (e i) to talk about things you need to get ready el agua de colonia el cepillo el cinturn el desodorante la ducha el gel las joyas (de oro, de plata) los labios el maquillaje el peine el pelo el saln de belleza, el secador la toalla las uas to talk about a special event la audicin la boda la cita el concurso un evento especial to talk about how you feel entusiasmado, -a nervioso, -a tranquilo, -a What is the equation of this line in standard form?6x7y=116x5y=136x7y=117x6y=11Number graph ranging from negative five to five on the x and y axes. A line is drawn on the graph that passes through the labeled points begin ordered pair negative three comma negative one end ordered pair and begin ordered pair one-half comma two end ordered pair Janis tore a ligament in her ankle. Until the injury heals, she is at most risk for which of the following?dislocating bonesO losing cartilageO producing abnormal blood cellssustaining nerve damage What is one piece of evidence that shows that tortoises and chickens have a common ancestor? *A. DNA EvidenceB. Structural EvidenceC. Fossil EvidenceD. Embryological Evidence A harbor harvest is a regular amount of a renewable resource that can be harvested without reducing the future supply. True or False