Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24

She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.

Step 3: 4x + y = 24

4(5) + y = 24

20 + y = 24
-20 -20

y = 4




Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)


+ 12x + 3y = 72
14x = 70

→ x = 5



Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.

Step 3: 4x + y = 24

4x + 4 = 24
-4 -4

4x = 20

x = 5


Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)


Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28

→ y = 4



“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”

Explain how you know that a system of equations has no solution.

Answers

Answer 1

Answer:

Step-by-step explanation:

A system of equations has no solutions if you end up with a contradiction. For example, the system of two equations

y = 2x + 4

y = 2x

If you subtract the second equation from the first, you get

0 = 4

an obvious contradiction. If you were to graph the equations, you would see that the lines are parallel. They never intersect, so there is no point that satisfies both equations.


Related Questions

Which expression is equivalent to 6(-7k - 2) + 6k?
-12k - 36
-K - 12
-36k - 2
-36k - 12

Answers

Answer:

-36k - 12 that is the answer

Cameron is on page 21 of his book. He reads 112 pages per minute and wants to read to at least page 84 tonight. The inequality 21+112t≥84 models this situation, where t is time in minutes. Which represents the time it will take Cameron to reach his goal?

Answers

Answer:

t ≥ 0.5625

Step-by-step explanation:

Given:

21 + 112t ≥ 84

112t ≥ 84 - 21

112t ≥ 63

t ≥ 63/112

t ≥ 0.5625

t = time in minutes

ill give brainliest!! help!

Answers

Answer:

I would say c hopefully I'm sry if it is wrong

Answer:

c

Step-by-step explanation:

Each wooden cube has a volume of 1/8 cubic foot. In total, how many wooden cubes will fit in the box

Answers

Answer:

Number of wooden cubes in the box = 240

Step-by-step explanation:

A toy company uses the Box shown below to package wooden cubes each wooden Cube has a volume of 1/8 cubic feet in total how many wooden cubes will fit in the Box

Volume of the box = length × width × height

= 5 ft × 3 ft × 2 ft

= 30 ft³

Each wooden cube has a volume of 1/8 cubic foot

how many wooden cubes will fit in the box?

Number of wooden cubes in the box = Volume of the box ÷ volume of the wooden cube

= 30 ft³ ÷ 1/8 ft³

= 30 × 8/1

= 240

Number of wooden cubes in the box = 240

PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!

Answers

Answer:

It's A

Step-by-step explanation:

It is A because your adding and going up.

Answer:

c. [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

b = time spent reading

a = pages (book length)

Dividing the time spent reading by the number of pages in the book would result in getting an average reading speed of pages read per minute.

Mr.Lee bought 4 tires for his car,and he paid P10,000 pesos.How much would cost if he only bought 2?

Answers

Answer:

P5000pesos

Step-by-step explanation:

Given data

Cost of 4 tires is P10,000 pesos

we want to find the cost of two tires

Hence if 4 tires cost P10,000 pesos.

             2 tires will cost x

cross multiply we have

4x= 10,000*2

4x= 20000

x= 20000/4

x= P5000pesos

Hence two tires will cost  P5000pesos

can someone please help!​

Answers

Answer:

fraction 4/12 or 1/3

decimal .333333333

percent 33%.333333

Step-by-step explanation:

The campers at camp sleep-a way voted on a dinner choice for their last night at camp. There were 188 campers who voted on either hot dogs or spaghetti. 3 times as many campers voted for hot dogs as voted for spaghetti. How many campers voted for hot dogs

Answers

Answer:

141 campers voters for hotdogs

Step-by-step explanation:

h+ s = 188

h = 3s

3s + s = 188

4s = 188

s = 47

h = 141

The number of campers who voted for hot dogs is 141.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of campers = 188

The number of campers who voted for hot dogs.

= 3x

The number of campers who voted for spaghetti.

= x

Now,

3x + x = 188

4x = 188

x = 47

Now,

3 x 47

= 141

Thus,

141 campers voted for hot dogs.

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-10(d+1)=-14
What is the value of d

Answers

Answer:

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

Step-by-step explanation:

-10 (d+1) = -14

-10d -10 = -14

-10d = -14 + 10

-10d = -4

d = 4/10

d= 2/5

D=2/5

Decimal form : d= 0.4

Find 15· 2 2/3 using the Distributive Property.

Answers

Answer:

12.67

hope it's helpful ❤❤❤

THANK YOU.

A circular running track is
1/8
mile long. Elena runs on this track, completing each lap in
1/24
of an hour.
What is Elena's running speed, in miles per hour? Type just the number answer..

Answers

Answer:

3 miles per hour

Step-by-step explanation:

Speed is defined as the distance covered per unit time, which can be expressed mathematically as follows;

Speed = Distance/Time

The given parameters are;

The length of the circular running track = 1/8 mile

The time it takes Elena to complete a lap = 1/24 hour

Therefore, we have;

Elena's running speed = The distance Elena completes/(The time it takes Elena to complete the given distance)

∴ Elena's running speed = The 1/8 mile track/(1/24 hour)

[tex]Elena's \ running \ speed =\dfrac{\dfrac{1}{8} \ mile }{\dfrac{1}{24} \ hour } = \left (\dfrac{1 }{8} \times \dfrac{24}{1 } \right ) \ \dfrac{mile}{hour} = \dfrac{24}{8} \ \dfrac{mile}{hour} =3 \ mile/hour[/tex]

Elena's running speed = 3 mile per hour.

The school band is selling t-shirts for a fundraiser. The initial cost for a steamer to apply the decals is $100. It is predicted that the cost of material for each shirt is $12. The function that shows the band's average cost per t-shirt after x t-shirts are sold is:

Answers

Answer: Vertical asymptotes is x = 0 and the horizontal asymptotes is y = 12.

The average cost approaches to 12 when the number of shirts increases.

Step-by-step explanation:

Since we have given that

Initial cost for a steamer to apply the declas = $100

Cost of material for  each shirt = $12

Function representing the band's average cost per t-shirt  after x t-shirt are sold is given by:

We need to find the vertical asymptotes , horizontal asymptotes and the average cost to make a t-shirt approaches as the number of t-shirts increases,

For vertical asymptotes , we will make denominator equal to zero.

So, it will be

Thus, vertical asymptotes is x= 0.

Similarly,

For horizontal asymptotes, we first check the degree of both numerator and denominator.

Since we can see that both have the same degree i.e. 1.

So,

So, the horizontal asymptotes is y = 12.

When the number of shirts increases ,The average cost to make a T-shirt approaches is given by

Hence, the average cost approaches to 12 when the number of shirts increases.

Answer:

The vertical asymptote is x = 0

The horizontal asymptote is y = 12

The average cost to make a t-shirt approaches $12 as the number of t-shirts made increases.

Step-by-step explanation:

Point R (-8, -6) is translated using the transformation rule (x, y) --> (x + 5, y + 8). What is the ordered pair of the Image R'? Please write your response as (x, y),

Answers

Answer:

(-3, 2).

Step-by-step explanation:

-8 -----> -8 + 5 = -3

-6 -----> -6 + 8 = 2.

Hello!

For this problem, all you have to do is add 5 to the x-value and add 8 to the y-value of the Point R.

(-8, -6) --> (-8 + 5, -6 + 8) --> (-3, 2)

what is a quadrant in math

Answers

A quadrant is one of the 4 divided areas of a coordiante plan.

A car dealership sells 4 SUV’s for every 3 cars.
If the dealership sold 18 cars, how many SUV’s were sold?

Answers

Answer:

24 SUV's

Step-by-step explanation

18 divided by 3=6

6 times 4 is 24

24 SUV's sold

Which perfect square lies between the whole numbers 40 and 50?

Answers

Answer:

The perfect square number between 40 and 50 is 49 which is a square of 7.

Answer: the perfect square that lies between 40 and 50 is 49

Sheldon wants to feed his strawberry plants 2 more times and his tomato plants two more times. He will use the same amounts of plant food as before . How much plant food will he need? Does he have enough left to do so/ explain your answer using words or numbers

Answers

Answer:

He doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time

Step-by-step explanation:

On sunday , sheldon bought 4 1/2 kg of plant food. He uses 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. b. Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will be need? Does he have enough left to do so.

Total food bought = 4 1/2 kg

Strawberry feed = 1 2/3 kg

Tomato feed = 1/4 kg

Total food used on Sunday = Strawberry + tomato

= 1 2/3 + 1/4

= 5/3 + 1/4

= (20+3)/12

= 23/12 kg

Total food remaining after Sunday = Total food bought - used food

= 4 1/2kg - 23/12kg

= 9/2 - 23/12

= (54-23)/12

= 31/12 kg

= 2 7/12 kg

Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time.

Strawberry = 2 × 1 2/3kg

= 2 × 5/3

= 10/3 kg

Tomato = 1 × 1/4kg

= 1/4 kg

Total food needed to feed strawberry two more times and tomato 1 more time

= 10/3 kg + 1/4 kg

= (40+3)/12

= 43/12 kg

= 3 7/12 kg

He will need 3 7/12 kg of food

He has 2 7/12 kg of food left

Therefore, he doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time

if f(x)=2x^2-5, then what is the remainder when f(x) is diode by x-1

Answers

The first method is where you divide your polynomial by the divisor. Second is the quick and easy way where you just substitute the value for x and get the remainder. Hope it helps

After performing division, the remainder obtained will be equal to -7.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given equation for division in the question,

2x² - 5 is divided by x - 1.

x - 1) 2x² - 5 ( 2x - 2

       2x² - 2x

             = -2x - 5

                -2x + 2

                       = -7

So, the quotient obtained is 2x - 2 and the remainder is -7.

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A taxi travels 2 hours to make a 220 km trip. How fast does it travel?

Answers

He would be driving approximately 110 km an hour

Answer:

= 110 km/h

Step-by-step explanation:

speed = km / 1 hr

distance = 220

time = 2 hrs

speed = 220 / 2 = 110 km/h

(Hope its right!)

Use synthetic division to divide the polynomials.
(4a^3 – a² + 4a + 2) /
(a - 3

Answers

Answer:

Step-by-step explanation:

3_|  4      -1      4     2

                12    33  111          

       4       11     37   113

4a^2 + 11a + 37 + 113/(a -3)

A reporter was shot while driving a moving car. Investigators are unsure if the shooting was random or if it was a targeted attack. A tree blocks the visibility of the street after
65 feet, and would likely have been a random attack if the car was farther away when hit. Because the car continued to move after the driver was struck, investigators need to determine the distance the car was away from the building when the shot occurred. Use the information provided to determine the distance of the car.

Answers

Find the scale from the 6 inch height of the triangle on the car to the 30 ft height on the building:

30 feet = 30 x 12 = 360 inches.

360 inches / 6 inches =  60

The scale is 60

Now multiply the base of the triangle on the car by 60 to get the distance of the car from the building:

15 inches /12 inches = 1.25 feet

1.25 feet x 60 = 75 feet.

The car was 75 feet from the building.

Answer:The car was 75 feet from the building.

Step-by-step explanation:

Solve the inequality: y - 18 < 55

Answers

Answer:

y < 73

Step-by-step explanation:

y−18+18<55+18

y < 73

Please write a 5 sentence summary of fidel castro's life

Answers

Answer:

Fidel Castro, in full Fidel Alejandro Castro Ruz, (born August 13, 1926, near Birán, Cuba—died November 25, 2016, Cuba), political leader of Cuba (1959–2008) who transformed his country into the first communist state in the Western Hemisphere. Castro became a symbol of communist revolution in Latin America. He held the title of premier until 1976 and then began a long tenure as president of the Council of State and the Council of Ministers. He handed over provisional power in July 2006 because of health problems and formally relinquished the presidency in February 2008.

Step-by-step explanation: Hope it helps! Please rate brainliest

Fidel Castro was born in Cuba near the city of Biran, about 750 kilometers from the capital, Havana. Around 30 years after his birth, Castro and a group of men overthrew the previous dictator, Fulgencio Batista, through the use of guerilla warfare. From this point on, Fidel Castro was considered the new leader of Cuba. Castro had a strong belief in the use of communism within his country. These beliefs lead to a stable relationship with Russia, at the same time, a very rugged relationship with America. As life went on and tensions grew the Cuban Missile Crisis was created.

pls help me find the absolute value of these
thanks in advance for any help.​

Answers

Answer:

The absolute value or modulus of a real number x (denoted by |x| ) , is the non-negative value of x without regard to its sign.

3) |0| = 0

6) |-7| - |4|

=> 7 - 4 = 3

9) - | -101 | = -101

12) |8| - |-7|

=> 8 - 7 = 1

Which of the following best describes AD?
D
А
c
A. Altitude
B. Angle bisector
C. Perpendicular bisector
D. Median

Answers

Answer:

it will option A. Altitude hope it helps

The segment AD in the given triangle describes as Altitude.

What is Triangle?

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given is a triangle ABC.

Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.

Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.

Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.

Median is the line segment joining the vertex with the mid point of the other side.

Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.

So it is altitude.

Hence the given segment is altitude.

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3+3 lol this is just to give extra points you know hope you guys help me with the actual one

Answers

After a long hard consideration I think it's 6

Josh buys a shirt on sale for $63. The original price of the shirt was $90. What percentage did he pay for the shirt

Answers

He got the shirt for 30% off

Simplify 3a2 + 4b + 2a2


a2+4b


5a2+4b


It is simplified


9a2b

Answers

I’m not sure but I think d

What are units in math?

Answers

Answer: This refers to the number assigned to a unit within a building, where applicable. ... The first two digits refer to the floor level the unit is located on, while the numbers after the hyphen sign refer to the allotted number for the particular unit.

Step-by-step explanation:

Select the correct text in the passage.
Which sentence in this excerpt from Jack London’s "To Build a Fire" best shows that the main character regrets his foolish decision to take risks and ignore what others have told him?
The old-timer on Sulphur Creek had told him about it the previous fall, and now he was appreciating the advice. Already all sensation had gone out of his feet. To build the fire he had been forced to remove his mittens, and the fingers had quickly gone numb. His pace of four miles an hour had kept his heart pumping blood to the surface of his body and to all the extremities. But the instant he stopped, the action of the pump eased down. The cold of space smote the unprotected tip of the planet, and he, being on that unprotected tip, received the full force of the blow. The blood of his body recoiled before it.The blood was alive, like the dog, and like the dog it wanted to hide away and cover itself up from the fearful cold. So long as he walked four miles an hour, he pumped that blood, willy-nilly, to the surface; but now it ebbed away and sank down into the recesses of his body. The extremities were the first to feel its absence.His wet feet froze the faster, and his exposed fingers numbed the faster, though they had not yet begun to freeze. Nose and cheeks were already freezing, while the skin of all his body chilled as it lost its blood.

Answers

Answer:

His wet feet froze the faster, and his exposed fingers numbed the faster, though they had not yet begun to freeze.

Step-by-step explanation:

I did the test on edmentum and got it right !!!

Answer: The old-timer on Sulphur Creek had told him about it the previous fall, and now he was appreciating the advice.

Step-by-step explanation:

mark on brainlist

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