5

After simplifying the expressions on each side of an equation, you observed that the coefficients of x and the constants

on each side of the equal sign were the same. What kind of solution(s) do you expect for this equation?

No solution

Infinitely many solutions

One unique solution

T

Answers

Answer 1

Answer:

The solution has infinitely many solutions.

Step-by-step explanation:

Correct option is - The solution has infinitely many solutions.

The expression is of the form -

ax + b = ax + b

In the expression , any value of x will satisfy

So, we get infinitely many solution

For example -

for x = 1

a(1) + b = a(1) + b

⇒ a + b = a + b

satisfied.

for x = 2

a(2) + b = a(2) + b

⇒ 2a + b = 2a + b

satisfied.

Hereon, for any value of x , it satisfies.


Related Questions

Find the third, fifth, and eleventh terms of the sequence described by the rule.
A(n) = - 6+ (n - 1)(6)
A(3)= ?

Answers

Answer:

A(3) = 6

A(5) = 18

A(11) = 54

PLS MARK AS BRAINLIEST

A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represent the number of large tables and y represent the number of small tables. The expression 10A + 6B, which represents the total number of people you can seat using A large tables and B small tables, is called a linear combination. For instance, 150 people could be seated using 6 large tables and 15 small tables. Use that expression to enter an equation in standard form that models all the different combinations of tables the restaurant could use. Then identify at least one possible combination of tables other than (6, 15).

The equation is . Another possible combination is

Answers

Answer:

15

Step-by-step explanation:

Which fraction is greater than 2/5? 3/10, 7/10, 2/4, 3/6

Answers

Answer:

all of them are except for 3/10

Step-by-step explanation:

Answer:

3/6

Step-by-step explanation:

plz mark as brainliest

thank you

19NBoli

Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. If they conduct rounds at the same time. After how many minutes they will rounds together again?

Answers

Answer:

[tex]Time = 11\frac{2}{3}\ min[/tex]

Step-by-step explanation:

Given

[tex]Security\ A = 2\ mins, 20\ secs[/tex]

[tex]Security\ B = 1\ mins, 40\ secs[/tex]

Required

After how many minutes, will they round together

First, convert the given time to minutes

[tex]Security\ A = 2\ mins, 20\ secs[/tex]

[tex]Security\ A = 2\ mins+ 20\ secs[/tex]

[tex]Security\ A = 2\ mins+ \frac{20}{60}\ min[/tex]

[tex]Security\ A = 2\ mins+ \frac{1}{3}\ min[/tex]

[tex]Security\ A = 2\frac{1}{3}\ min[/tex]

[tex]Security\ B = 1\ mins, 40\ secs[/tex]

[tex]Security\ B = 1\ mins+ 40\ secs[/tex]

[tex]Security\ B = 1\ mins+ \frac{40}{60}\ min[/tex]

[tex]Security\ B = 1\frac{2}{3}\ min[/tex]

So, we have:

[tex]Security\ A = 2\frac{1}{3}\ min[/tex]

[tex]Security\ B = 1\frac{2}{3}\ min[/tex]

List out the multiples of the time of both security personnel take round.

[tex]Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...[/tex]

[tex]Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...[/tex]

In the above lists, the common time is:

[tex]Time = 11\frac{2}{3}\ min[/tex]

This implies that they go on round after [tex]11\frac{2}{3}\ min[/tex]

Pls hurry and help!!!!! 3х + 3 = Зу
2x – 6у = 2. Solve the equations by using elimination (adding) show work

Answers

Answer:

Step-by-step explanation:

3x - 3y = -3

2x - 6y = 2

-6x + 6y = 6

2x - 6y = 2

-4x = 8

x = -2

-4 - 6y = 2

-6y = 6

y = -1

(-2, -1)

"What is the difference between a ratio and its related rate and unit rate?"

Answers

Answer:

Step-by-step explanation:

The ratio is the relationship of two numbers. ... A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.

The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.

What is a ratio?

It shows how many times one value is contained in another value.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Ratio and unit rate

Ratio and unit rate both are written in the form of a numerator and a denominator.

The ratio is a measure of two units contained in a whole amount.

Example: 3 apples and 3 mangoes are contained in a bag

The ratio of apple and mango is 3:3 = 1:1

The unit rate is also a measure between two units but the denominator should always be one.

Example: A man can run 10 miles in 10 hours

In one hour 1 mile.

The unit ratio is 10miles per hour.

Thus,

The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ6


Classify the following polynomials by the number of terms and degrees
-2x^3 +5x

Answers

Answer:

A third degree binomial

Step-by-step explanation:

The highest power is 3 hence the 3rd degree

and there are 2 terms hence the bi-nomial

a+b=10, c+d=18, a+c=12, b+d= 16. find the value of A,B,C and D? ​

Answers

Answer:

1

5

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If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

Answer

12

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Patrick Ivers, former mathematics & English instructor

Answered June 26, 2018

If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

The puzzle is solved by defining each variable in terms of another variable & a number & then making substitutions. Begin by taking each sum to define one of the variables in terms of the other. (Different combinations are available, but I’ll follow the a,b,c order.)

a+b=8 becomes a=8-b

b+c=10 becomes b=10-c

c+a=12 becomes c=12-a

Now subtract two of the equations that contain the same variable. I’ll pick two that contain an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. Adding b to both sides to isolate c gives c=b+4. From above we can take b=10-c to substitute for b in c=b+4, giving us c=(10-c) + 4). Simplify the right side to c=14-c, add c to both sides, giving 2c=14, & then divide both sides by 2 to obtain c=7.

Replace the c in b=10-c with 7 to

Continue Reading

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Related Answer

Paul K. Young, Former PhD candidate in Mathematics

Answered September 28, 2016

If A = B and B = C, does A = C?

In mathematics = is assumed to be a transitive relationship. Transitivity means precisely what you stated: A = B and B = C implies A = C.

While it’s possible to use = to represent a non-transitive relationship this would be considered an abuse of notation. A ~ B or R(A, B) would be a better way to express the relation in this case.

Similar assumptions are made about operators like + and *. + is generally assumed to be commutative, whereas * can be used for noncommutative operations like matrix multiplication. E.g. A * B != B * A.

Equality in programming is another story entirely.

In many languages = is the assignment operator and == is the equality operator. Assignment is not transitive - it’s not even a relation.There are cases where the equality operator doesn’t define a transitive relation.

1.Write an equation that models the following verbal statement and show/explain how you know your translation is correct.

Five less than four times a number is equal to three times the number.







2. Alejandra stayed 3 nights in a hotel for a total of $254.91. If each night was the same price, what did Alejandra pay per night? Show your thinking, use units to label your answer!

Answers

Answer:

Step-by-step explanation:

4x-5 = 3x

Yoshi has a rope 30 feet long. He must cut it in pieces that are 1/4 foot long will he get more or fewer than 30 pieces

Answers

Answer:

More

Step-by-step explanation:

If we divide 30 by .25 we will get 120

PLEASE HELP ITS REALLY URGENT

Answers

Y= 8x+8
Since it tells you that x=8 when y is 0 you know that the y-intercept is 8.

en una rampa inclinada un ciclista avanza una distancia horizontal de tan solo 77 metros ¿cuál es la altura en metros de esa rampa​

Answers

Answer:

English?

Step-by-step explanation:

If 2.22 moles of ammonia (NH3 ) decomposes according to the reaction shown, how many moles of hydrogen (H2 ) are formed? A. 1.11 moles of H2 B. 3.33 moles of H2 C. 6.66 moles of H2 D. 2.22 moles of H2

Answers

Answer:

C. 3.33 moles

Step-by-step explanation:

Ammonia decomposes

[tex]2NH_3\rightarrow N_2+3H_2[/tex]

We have to find the moles of hydrogen formed in 2.22 moles of ammonia.

From the reaction

2 moles of ammonia gives 3 moles of hydrogen

1 mole of ammonia  produce hydrogen=3/2 moles

2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles

Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia

=[tex]\frac{6.66}{2}=3.33[/tex]moles

Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.

Option C is true.

C. 3.33 moles

Use I = PRT to solve.
(time is in years)
1 = $270,000
P = $150,000
R = 12%
Find T.

Answers

Answer:

Time T = 15 year

Step-by-step explanation:

Given:

Interest I = $270,000

Principal P = $150,000

Rate R = 12% = 0.12

Find:

Time T

Computation:

I = PRT

270,000 = (150,000)(0.12)(T)

270,000 = (18,000)(T)

Time T = 15 year

Find the measure of Angel 1 and 2.

Answers

You could use a ruler maybe or is it not that kind of question

I need help please help me solve the the table

Answers

Answer:

cool

Step-by-step explanation:

A car dealership decreased the price of a certain car by 14%. The original price was $48,200.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price = { x Original price
(b) Use your answer in part (a) to determine the new price.
New price: $0

Answers

Answer:

a) New price = 0.86 * Original price

b) New price = 0.86 * 48200 = $41452

Step-by-step explanation:

Help me find the answer to this please. And also explain how to slove these problems.​

Answers

Answer:

B and C

Step-by-step explanation:

Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.

A minimum point occurs where all the nearby values are higher than that of the point in question.

A maximum point occurs where all the nearby points are lower than the point in question.

By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)

By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.

I've highlighted areas of interest below so hopefully that's helpful :>

can anyone pls help me with this question I'm stuck ​

Answers

Answer:

I think 24

let b=3

l=4

and h=2

Answer:

864

Good luck!

The number of country A forces in country B decreased to approximately 34,000 in 2014 from a high of about 100,000 in 2008. The amount of country A funding for country B security forces also decreased during this period. The function f (x) = -1.330x + 5.149x +5.517 can be used to estimate the amount of country A funding for country B security forces, in billions of dollars, x years after January 2007. In what year was the amount of country A funding for country B security forces about $ 10.5 billion?

Answers

Answer:

2009

Step-by-step explanation:

The question can be interpreted as:

[tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]

Required

Determine x when f(x) = 10.5

Substitute 10.5 for f(x) in [tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]

[tex]10.5 = -1.330x^2 + 5.149x + 5.517[/tex]

Collect Like Terms

[tex]-1.330x^2 + 5.149x + 5.517-10.5=0[/tex]

[tex]-1.330x^2 + 5.149x -4.983=0[/tex]

Using quadratic formula

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = -1.330[/tex]

[tex]b = 5.149[/tex]

[tex]c = -4.983[/tex]

[tex]x = \frac{-5.149 \± \sqrt{5.149^2 - 4*-1.330*-4.983}}{2*-1.330}[/tex]

[tex]x = \frac{-5.149 \± \sqrt{0.002641}}{-2.660}[/tex]

[tex]x = \frac{-5.149 \± 0.0514}{-2.660}[/tex]

Split:

[tex]x = \frac{-5.149 + 0.0514}{-2.660}\ or\ x = \frac{-5.149 - 0.0514}{-2.660}[/tex]

[tex]x = \frac{-5.0976}{-2.660}\ or\ x = \frac{-5.2004}{-2.660}[/tex]

[tex]x = 1.92\ or\ x = 1.96[/tex]

Both values of x approximates to 2.

So:

[tex]x = 2[/tex]

2 years after 2007 is 2009.

Hence, the funding is about $10.5 billion in 2009

Home Depot sells an $1850 gas grill on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $160.

What is the total cost of the grill on the installment plan?

Answers

Answer:

Total cost of the grill installment plan = 2290

Step-by-step explanation:

370 + 1920 = 2290

If a card is randomly selected, what is the probability of drawing spade or club?

Answers

If it is a standard deck of cards then it should be 26/52 which is equal to 50%.

According Two data from the 2010 United States Census 83.7% of Americans lived in the metropolitan area suppose maria researcher takes a random sample of 125 Americans and find that 98 live in the Metropolitan area let P hat represent the sample proportion of Americans that live in a metropolitan area what are the mean and standard deviation of the sampling distribution of P hat provide your answer rounded to three decimal places

Answers

Answer:

Mean is 83.7%

And, the standard deviation is 0.033

Step-by-step explanation:

The computation of the mean and the standard deviation is as follows:

Let us assume the P be the sample proportion

Mean is 83.7%

And, the standard deviation is

[tex]= \sqrt{\frac{p(1-p)}{n} } \\\\=\sqrt{\frac{0.837(1-0.837)}{125} }[/tex]

= 0.033

Need help on this question, please help!

Answers

Answer:

I think it is 50

Step-by-step explanation:

You got the answer from the person on top lemme have a thank you please

Jon borrows $8.75 from his friends to pay
for snacks, and $13.50 from his sister to go
to the movies. How much money does he
need to repay?

Answers

The answer is C

$8.75+$13.50= $22.25
$22.25 or answer C if you add them together

Suppose that c is a number for which the equation c÷c = 1 is false. What is c?

Answers

Answer:

Hope it help

Mark me as brainliest

Step-by-step explanation:

Which statement describes the graph

Answers

Answer:

Your answer is A

Step-by-step explanation:

I hope I helped :)

Your answer is going to be A.

What's the slope of -x+2y=5​

Answers

Answer:

Slope = (1/2)

Step-by-step explanation:

Rearrange the equation into the y = mx + b format.

-x + 2y = 5

2y = x + 5

y = (1/2)x + (5/2)

m represents slope, which is (1/2) in this question.

By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 86 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 566 mg of cholesterol. How much cholesterol is in each item?

Answers

Answer:

cholesterol in egg= 273 mg

cholesterol in cupcake = 18 mg

cholesterol in slice of pizza = 9 mg

Step-by-step explanation:

Given data:

1 egg , 1 cupcake , 1 slice of pizza  = 300mg

3 cupcakes , 4 slices of pizza = 90mg

2 eggs , 1 cupcake = 564mg

Let egg be x , let cupcake be y and let pizza be y

x + y + z = 300 (equation 1)

0x + 3y + 4z = 90 (equation 2)

2x + y + 0z = 564 (equation 3)

Using equation 1 and equation 2

x + y + z = 300 (Multiply equation by 3)

0x + 3y + 4z = 90

3x + 3y +3z =900

0x +3y +4z = 90  (Subtracting the equations)

3x - z = 810  (equation 4)

Using equation 2 and equation 3

0x + 3y + 4z = 90

2x + y + 0z = 564 (Multiply equation by 3)

0x + 3y + 4z = 90

6x +3y + 0z = 1692 (Subtracting the equations)

-6x +4z =-1602  (equation 5)

Solving equation 4 and equation 5

3x - z = 810  therefore z =3x -810

Substituting z into equation 5

-6x +4(3x - 810) =-1602  

-6x + 12x - 3240 = -1602

6x = -1602+3240

6x = 1638

x = 273

Substituting x into z = 3x - 810

z = 3(273) - 810

z = 819-810

z = 9

Using equation 1 to find y

x + y + z = 300

273 + y + 9 = 300

282 + y = 300

y = 300-282

y = 18

a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. find the speed of the boat as she paddles the lake if the river current is 2 km/h. Pls answer. You'll get 100 points.

Answers

Answer:

5 km/h or 6 km/h

Step-by-step explanation:

Let the speed of the boat be xSpeed against the current in the river is x - 2

Time in the river:

6/(x - 2)

Time in the lake:

15/x

The difference:

6/(x - 2) = 15/x - 1

Solve for x to find the speed of the boat

Multiply both sides by x(x - 2) to clear the fraction:

6x = 15(x - 2) - x(x - 2)6x = 15x - 30 - x² + 2xx² - 11x + 30 = 0(x - 5)(x - 6) =0x -5 = 0, x - 6 = 0x = 5 km/h, x = 6 km/h

Answer:

5km/hr or 6km/hr

Step-by-step explanation:

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