100PTS PLEASE GIVE EXPLANATION
(I really need help please)

2x + 6y= 12

X + 3y= 6


In solving the system of equations shown above, Sean showed the following steps:

Step 1: x = 6 – 3y

Step 2: 2(6-3y) + 6y = 12

Step 3: 12 – 6y + 6y = 12

Step 4: 12 = 12


Sean’s work is correct. However, there are no variables in Sean’s final step. What can he state as the solution of the system?

Answers

Answer 1

Answer:

The system has infinitely many solutions

Step-by-step explanation:

There are no variables left. And the final equation is correct.

It means the system is going to be correct for any value of variables. So there are infinitely many solutions

Answer 2

Answer:

Step-by-step explanation:

There are two equations in the question

[tex]2x+6y=12\ -->Equation\ 1\\\\x+3y=6\ -->Equation\ 2\\\\[/tex]

If we take 2 common from the first Equation it becomes,

[tex]2(x+3y)=12\\\\x+3y=12/6\\\\x+3y=6\\[/tex]

Now we can see that both the Equations are similar which means they would have the same graph.

Since both the equations have the same equation of line they have infinitely many solutions which means both the lines intersect at each and every point on the line, since both the lines are on top of each other.

We can also see that in Step 4 where 12 = 12 there are no variables in the equation which also means that the work is correct and Sean can say that the system of equations is consistent and dependent which means they have infinite number of solutions


Related Questions

add 2f+5g+7h and 3f+6g+8h

Answers

5f+11g+15h



Explanation:

2f+5g+7h+3f+6g+8h

You just combine the like terms
5f+11g+15h

Answer:

Step-by-step explanation:

Add the like terms

5f+11g+15h

Which of the following values can be replaced with M so that this table of values represents a function? Select all that apply.
a. 9
b. 8
c. 7
d. -2
e. 5

Answers

A and d also e prolly

Which ordered pairs are solutions to the inequality 3x-4y>5

Answers

Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

[tex]3x-4y>5[/tex]

All we need is to find any random value of 'x' and then solve the inequality.

For example, putting x=3

[tex]3\left(3\right)-4y>5[/tex]

[tex]9-4y>5[/tex]

[tex]-4y>-4[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-4y\right)\left(-1\right)<\left(-4\right)\left(-1\right)[/tex]

[tex]4y<4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4y}{4}<\frac{4}{4}[/tex]

[tex]y<1[/tex]

So, at x = 3, the calculation shows that the value of y must be less

than 1 i.e. y<1 in order to be the solution.

Let us take the random y value that is less than 1.

As y=0.9 < 1

so putting y=0.9 in the inequality

[tex]3\left(3\right)-4\left(0.9\right)[/tex]

[tex]=9-3.6[/tex]

[tex]=5.4[/tex]

As 5.4 > 5

Means at x=3, and y=0.9, the inequality is satisfied.

Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.

If a certain medicine cures 85% of the people who take it,what is the probability that, if 6 people take the medicine, exactly 4 will be cured?

Answers

Answer:

if 6 people take the medicine, around 5 people will get cured if the cure probability is 85%.

Step-by-step explanation:

Given that a certain medicine cures 85% of the people who take it.

As 6 people take the medicine, we need to determine how many will be cured.

As

85% = 85/100 = 0.85

All we need is to multiply 6 with 0.85.

i.e. 6 × 0.85 = 5 (Rounded to the nearest 1 or  the Ones Place)

Thus, if 6 people take the medicine, around 5 people will get cured if the cure probability is 85%.

Convert 5.7 yards to feet

Answers

Answer:

17.1 ft

Step-by-step explanation:

2 (4x - 1 ) = 8x -1. Is it one solution no solution or infintely

Answers

Answer:

one solution

Step-by-step explanation:

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

8x -1 = 8x-1

A department store buys 300 shirts for a total cost of $7,200 and sells them for $30 each. Find the percent markup.

Answers

Answer:

80%

Step-by-step explanation:

because 7200 / 300 equals 24 and 24 / 30 equals .8 so its 80% and if you want to check the answer you take 30 * .8 OR 80% and it gives you 24

The percent markup is 25%.

What is percent markup?

Markup percentage is calculated by dividing the gross profit of a unit (its sales price minus it's cost to make or purchase for resale) by the cost of that unit.

Given that, A department store buys 300 shirts for a total cost of $7,200 and sells them for $30 each.

Cost of one shirt = 7200 / 300 = $24

And they sold at $30 each,

Percent markup = 30-24 / 24 × 100

= 25%

Hence, the percent markup is 25%.

Learn more about Markup percentage, click;

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Select the line segment
A.
B.
C.
D.

Answers

Answer:  D i think

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

simplify the expression:
1. -0.8b^2+7.4b+(5.6b-0.2b^2)
2. (7.3y-y^2+4)+0.5y^2-(8.7y-2.4y^2)
PLZ HELP!!!!!
URGENT!

Answers

Answer:

1. -b^2+13b

2. 1.9y^2-1.4y+4

Step-by-step explanation:

1. -0.8b^2+7.4b+(5.6b-0.2b^2)

Simplify: -0.8b^2+7.4b+5.6b-0.2b^2

Add like terms: (-0.8b^2-0.2b^2)= -1b^2/-b^2 (7.4b+5.6b)= 13b

Answer: -b^2+13b

2. (7.3y-y^2+4)+0.5y^2-(8.7y-2.4y^2)

Simplify: 7.3y-y^2+4+0.5y^2-8.7y+2.4y^2

Add like terms: (2.4y^2-y^2)= 1.9y^2 (7.3y-8.7y)= -1.4y (don't forget about the 4)

Answer: 1.9y^2-1.4y+4

write two numbers that multiply to the value on top and add to the value on the bottom.

Answers

Answer:

1 and 19

Step-by-step explanation:

I believe this is a factoring problem.

Example:

If we have the equation x^2-2x-3

We can find two numbers that multiply to -3 that add to -2

The two numbers are -3 and 1

(x-3)(x+1)= So x=3 and x=1

Answer:

1 and 19

Explanation:

1x19=19

1+19=20

pls help the answers are listened below I am so sorry but thank you

Answers

Answer:

x=-6

Step-by-step explanation:

5x+2=6x+8

-5x     -5x

2=x+8

-8   -8

-6=x

HELP ME WITH THIS QUESTION PLZZZZZZZZZZZ, ALSO PLEASE SHOW UR WORK I NEED HELP I DON'T UNDERSTAND THISSSSSS

Answers

Answer: Jon has the best rate

Step-by-step explanation:

Which ordered pair gives a solution of the system of equations represented in the graph below?

Answers

Answer:

b

Step-by-step explanation:

The answer is b I believe

Your welcome:)

If x = 2, what is the value of x(15 - x)?
A.
26
B.
28
C.
13
D.
49

Answers

Answer:

A. 26

Step-by-step explanation:

We can just put in the value of x into the equation.

x(15 - x) = 15x - x²

            = 15 × 2 - 2²

            = 30 - 4

            = 26

Divide,
7)16.52 -

PLEASE ANSWER QUICK

Answers

Answer:

0.42347247428

Step-by-step explanation:

my calcuator

7/16.52

Answer:

9.52

hope it helpsssssssssssssss

-2n - 10n + 3 = -n + 5

Answers

This is what I got and I am sure this the answer

How much interest will you pay on a loan of $2,620, with a 3% interest rate, paid over 5
years?

Answers

Answer:

You'll pay $3013

Step-by-step explanation:

Amount to pay=$2620+Interest accrued

A=$2620+($2620×0.03×5)

A=$2620+$393

A=$3013

Which two elements are most likely to have similar physical properties?
A. copper and zinc
B. copper and silver
C. cadmium and indium
D. gallium and cadmium

Answers

B would be you’re answer


Hope you get everything done

Answer:

b

Step-by-step explanation:

Lara's puppy weighs 3.5 pounds and will gain approximately 0.5 pounds per
month.
Monica's puppy weighs 2 pounds and will gain 1 pound per month.
After how many months will both puppies weigh the same amount?

Answers

3 months

We can use a systems of equations to find when the values will equal each other, with x equal to months

Lara's Puppy: 0.5x+3.5

Monica's Puppy: x+2

Now create an equation for these puppy's weights to equal each other, and solve:

0.5x+3.5=x+2

0.5x=1.5

x=3

How do you name a ray?

Answers

Answer:

By two points.

In the figure at the top of the page, the ray would be called AB because starts at point A and passes through B on its way to infinity. Recall that points are usually labelled with single upper-case (capital) letters

Step-by-step explanation:

Answer:

By two points.

In the figure at the top of the page, the ray would be called AB because starts at point A and passes through B on its way to infinity. Recall that points are usually labelled with single upper-case (capital) letters

Step-by-step explanation:

Solve the following system of equations graphically on the set of axes below
y = 3x - 6
y = -x+2

Answers

Answer:

y = 3x - 6

y = -x+2

marking brainliest to whoever gives me the write answer

Answers

The page is black. Try reposting please
I would like brainliest please because the answer is a black screen

Jenny is an architect and is working to find the side length of a room in a house plan she is
reviewing. She knows that she can find the side length from the area using the formula 8 =
A. She could also find the side length using the perimeter with the formula 9 = she wants to see
what the design would look like with an equal perimeter and area. She graphs the formulas and
hnds the intersection point. What does this intersection point tell her?
O Cannot be determined
The measure of the side length
The side length that creates an equal perimeter and area,
The total perimeter and area of the room

Answers

Answer: At first I though O but you would be able to use A because you are able to make that 9 = to that 8

Step-by-step explanation:

The intersection point tells her the side length that creates an equal perimeter and area.

What is perimeter?

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Jenny is an architect and is working to find the side length of a room in a house plan she is reviewing.

She knows that she can find the side length from the area using the formula 8 = A.

She graphs the formulas and finds the intersection point.

The intersection point of the two equations represents the solution where the side length satisfies both the equations, giving an equal perimeter and area. Therefore, the intersection point tells her the side length that creates an equal perimeter and area.

To learn more about the perimeter of a shape:

https://brainly.com/question/28161250

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In 8-11, Explain how to get the variable alone in each equation

8. 8y = 5.6

9. x ➗ 15.2 = 3

10. u ➗ 8.7 = 12

11. 31.4 = 3.14y

Answers

Step-by-step explanation:

8. You divide each side by 8

[tex] \frac{8y}{8} = \frac{5.6}{8} [/tex][tex]y = \frac{5.6}{8} [/tex]

9. You multiply each side by 15.2

[tex]x = 3 \times 15.2[/tex]X=45.6

10. You multiply bith sides by 8. 7

[tex]u= 12 \times 8.7[/tex]

11. You divide both sides by 3.14

[tex]3.14y = 31.4 \\ y = \frac{31.4}{3.14} \\ y = 10[/tex]

Hope this helps, have a wonderful day

A box of dried fruit has 54 calories in 3 servings. How many calories are there per serving?

Answers

Answer:

18 per serving

Step-by-step explanation:

54/3=18   just divide to find the unit rate

YOU GET 100 POINTS plus BRALLIST!!!
PLEASE DON'T SCAM OR TROLL ME BECAUSE I WILL REPORT YOU and you will lose double the points and will lose your account!
evaluate the following expressions.
a. −58.49−(−95.09)
b. −20.04−74.14
c. −9.73+6.48
d. −69.2+(−5.81)
e. 22.47+(−76.5)
GOOD LUCK!!!

Answers

Answer:

A. 36.6

B. -94.18

C. -3.25

D. -75.01

E. -54.03

Answer:

a. 36.6

b. - 94.18

c. - 3.25

d. - 75.01

e. -54.03

Step-by-step explanation:

Hope this helps, have a great day

Giving brainlest to whoever answers this is URGENT

Answers

Answer:

ok so it'll be the first one

Answer:

Step-by-step explanation:

m= (y2-y1)/(x2-x1)

slope is the diference in y-coordinates over the diference in x-coordinates

Find the value of x
(8x-1) (4x+7)

Answers

Answer:

The value of x = 7

Step-by-step explanation:

Given the right triangle

Right angle = 90°α = (4x+7)°β =  (8x-1)°

We know that the sum of angles of a triangle is 180°.

so

Right angle + α + β =  180°

90° + 4x+7 + 8x-1 = 180

Group like terms

[tex]4x+8x+90+7-1=180[/tex]

Add similar elements: :4x+8x=12x

[tex]12x+90+7-1=180[/tex]

[tex]12x+96=180[/tex]

[tex]12x=84[/tex]

Divide both sides by 12

[tex]\frac{12x}{12}=\frac{84}{12}[/tex]

[tex]x = 7[/tex]

Therefore, the value of x = 7

what do i put the box like <6 but with the line under? cause when i checked if it was right it said it was wrong

Answers

Since it’s a closed circle it would be x≥6 with the line

Solve for x:
2x - 14 = 3x + 6

Answers

Answer:

x = - 20

Step-by-step explanation:

[tex]2x - 14 = 3x + 6[/tex]

Move 3x to the other side of the equation

[tex]2x - 3x - 14 = 6 \\ - x - 14 = 6[/tex]

Move -14 to the right side of the equation.

[tex] - x = 14 + 6 \\ - x = 20[/tex]

Multiply both sides by - 1

[tex] - ( - x) = - 20 \\ x = - 20[/tex]

We have the final answer as

x = - 20

Hope this helps you

Answer: add 14 to both sides of the equation

2x-14=3x+6

2x-14+14=3x+6+14

Simplify

add the numbers

2x-14+14=3x+6+14

2x=3x+6+14

add the numbers

2x=3x+6+14

2x=3x+20

subtract 3x from both sides of the equation

2x=3x+20

2x-3x=3x+20-3x

simplify

Combine like terms

2x-3x=3x+20-3x

-x=3x+20-3x

Combine like terms

-x=3x+20-3x

-x=20

Divided both sides of the equation by the same term

-x=20

-x/-1=20-/-1

Simplify

Cancel terms that are in both the numerator and denominator

-x/-1=20/-1

x=20/-1

Divide the numbers

x=20/-1

x=-20

So the answer is x=-20

Hope this helps... Stay safe and have a great day/night!!! :D

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