1. Solve the system of equations by substitution:
y = x - 2
4x – 3y = 11

Answers

Answer 1

Answer:

x = 5

y = 3

Step-by-step explanation:

y = x - 2

4x - 3y = 11

substitute y in the second equation with x - 2

4x - 3(x - 2) = 11

open the parenthesis

4x - 3x + 6 = 11

x + 6 = 11

subtract 6 from both sides of the equation

x + 6 - 6 = 11 - 6

x = 5

now substitute x for 5 in the original equation.

y = x - 2

y = 5 - 2

y = 3


Related Questions

Write the equation of the line that passes through the points (-7, -3) and
(-2,-1)

Answers

Answer:

y = 2/5x - 1/5

Step-by-step explanation:

The first step is to find the slope. We can do this by doing y2- y1/x2 - x1, you can name any number 1 or 2 as long as the x and y are right.

-1 - (-3)/-2 - (-7) = 2/5

Now that we know that the slope is 2/5 we can use the formula

y - y1 = m(x - x1)

y + 3 = 2/5(x +7)

y + 3 = 2/5x + 2 4/5

y = 2/5x - 1/5

Help ya girl out with this one please ASAP <3

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

[tex]6x+6x-7=5\\12x-7=5\\12x=12\\x=1[/tex]


Write your answer with a positive exponent only.

Answers

Answer:

1/z

Step-by-step explanation:

(z^-6)/(z^-5)

=[(z^(-6+5)]

=z^-1

=1/z

Question in the picture

Answers

Answer:

The Internet started in the 1960s as a way for government researchers to share information. ... This eventually led to the formation of the ARPANET (Advanced Research Projects Agency Network), the network that ultimately evolved into what we now know as the Internet.

What are both of these shaded as?

Answers

Answer:

1 whole and 15/100= 1.15

Step-by-step explanation:

The first box is 1 whole, in total there are 100 squares. All u need to do is count the number of squares

9, 2, 1,5,9, 7, 1, 2, 2, 5, 6
What is the median for the set of data?

Answers

Answer:

3.5

Step-by-step explanation:

9, 2, 1,5,9, 7, 1, 2, 2, 5, 6

rearrange

1, 1, 2, 2, 2, 5, 5, 6, 9, 9

2+5=7

7/2=3.5

Answer:

its either 3.5

Step-by-step explanation:

1, 1, 2, 2, 2, 5, 5, 6, 7, 9, 9 basically see which number is in the middle basically  your adding the middle and then dividing by 2 and eureka...

four friends use an online coupon to get a $15 discount on each concert ticket buy. they spent $312 for the four tickets. what was the price of one ticket without the discount?

Answers

one ticket without the discount is $93

Find the slope of the line through points (3, -8) and (0.4). *​

Answers

Answer:

slope is -4

Step-by-step explanation:

To find the slope with points, you do (y2-y1)/(x2-x1)

4-(-8)=12

0-3=-3

12/-3=-4

M=-4
Pls mark me brainliest

which is the equation of a line that has a slope of 1/2 and passes through point (2,-3)

Answers

Answer:

y = (1/2)x - 4

Step-by-step explanation:

y = mx + b

y = (1/2)x + b

-3 = (1/2)(2) + b

-3 = 1 + b

b = -4

y = (1/2)x - 4

Can somebody help me !!

Answers

Answer:

My answer would be $76.49 around that change somewhere? I'm hoping that I was close to the right answer. Wish there were answer options I could go off of.

Step-by-step explanation:

A negative number is raised to an even exponent. The result is
zero
one
O positive
negative

Answers

Answer:

positive I guess that's the answer

Answer:

positive

Step-by-step explanation:

Two laboratory technicians are running product quality tests. One technician takes 6 minutes less than the
other. What equation would give the amount of time, t, it would take to run the tests if the technicians work
together to split the work on the different tests?

Answers

Answer:

The time it will take will be ;

t = (2x -6)/(x^2-6x)

Where x is the amount of time

in minutes taken by the technician who is slower

Step-by-step explanation:

We want to write the time it would take to run the tests if the technicians work together.

Let the time taken by the first technician be x minutes

The time that would. taken by the second is 6 minutes less which is (x -6) minutes

So if they work together, how long will it take?

That would be ;

t = 1/x + 1/(x-6)

t = (x + x -6)/(x(x-6))

t = (2x -6)/(x^2 -6x)

The time it will take if they both work together is ;

t = (2x -6)/(x^2-6x)

where x minutes is the amount of time taken by the technician who is slower of the two

what is 14.876 - 4.96

Answers

Answer:

9.916 is the answer

the answer is 9.916 can i get brainliest please

please need help by october 31, 2020 help!!!!!!

Answers

Answer:

1.)c=±√58

Step-by-step explanation:

According to Pythagorean theorem, square of the hypotenuse is equal to the sum of the squares of other two sides

a^2+b^2=c^2

Short sides-a and b

Long side=c

I will do number 1 for you as an example.

A=3

B=7

C=x

3^2+7^2=c^2

58=c^2

Dont forget to square 58

c=±√58

I do not know which formula is being used for this question, please answer step by step thanks!

The Hudson Record Store is having a going-out-of-business sale.CDs normally sell for $18.00.During the first week of the sale, all CDs will sell for $15.00.Written as a fraction, what is the rate of discount?What is the rate expressed as a percent?Round your answer to the nearest hundredth of a percent.During the second week of the sale, the same CDs will be on sale for 25% off the original price.What is the price of a CD during the second week of the sale?

Answers

Written as a fraction, what is the rate of discount?

Original Price = $18

Discounted Price = $15

Discount is $3 as 18-15 is 3.

As a fraction, the discount rate is $3/$18 also equal to $1/$6

What is the rate expressed as a percent? Round your answer to the nearest hundredth of a percent.

1/6 is approximately 0.167

0.167 = 16.67%

As a percent, the discount rate is 16.67%

During the second week of the sale, the same CDs will be on sale for 25% off the original price. What is the price of a CD during the second week of the sale?

Using the formula,  Amount of Discount = Discount Rate · Original Price we can find the amount of discount for the 2nd week.

Let x be the amount of discount.

x = 25% · $18

x = $4.50

The amount of discount is $4.50

Calculate the cost of the CDs during the second week: $18 - $4.50 = $13.50

The price of a CD during the second week of the sale is $13.50

What is the constant rate of this? Please show your work.

Answers

Answer:

3

Step-by-step explanation:

To find the answer, heres what you need to do.

Basically, you divide each number on the right by the number on the left.

15/5= 3

24/8=3

36/12=3

72/24=3

Since all of the answers are 3, your answer is 3

Answer:

3

Step-by-step explanation:

Slope Formula:

y2 - y1/x2 - x1

Let's use (5, 15) and (8,24)

(x1, y1) = (5, 15)

(y1, y2) = (8, 24)

Substitute:

y2 - y1/x2 - x1

24 - 15/8 - 5

Solve:

24 - 15/8 - 5

9/3

= 3

Therefore the slope, or constant rate is 3.

Tip: look at the relationship between Cost and Time.

15/5 = 3

24/8 = 3

36/12 = 3

72/24 = 3

Dividing is a simple way to find the slope!

You're in the business of supplying snacks to school canteens. The process involves procuring the ingredients (raw materials); cooking the snacks in a two-room place, for which you pay rent; and supplying the snacks to 50 school canteens, using your personal car. You have hired six workers, and you pay them on an hourly basis. How would accounting help you run this business?

Answers

Step-by-step explanation:

Alright on accounting you might want to take into consideration the following

based on the production and delivery process

1. The cost of ingredient/raw material

2. the cost of rent for the two rooms

3. the cost of logistics for transporting the products

4. the payment per hour for 6 workers

With all the above well accounted for, it will help you have a perfect record of expenses and the total cost of production, you can then estimate the cost of producing a unit of the snacks.

You can then estimate the the revenue to be generated based on the price tagged on one unit.

Also, you can estimate the break even point based on a properly accounted business

2(x + 4) - 6 = 5x - 17

Answers

Answer:

x=6.3  :)

Step-by-step explanation:

2(x+4)-6=5x-17

2x+8-6=5x-17

2=3x-17

19=3x

19/3=6.3

Answer:

2(x+4) -6 = 5x-17

2x + 8 - 6 = 5x - 17

8 -6 + 17 = 5x - 2x

2 + 17 = 3x

19 = 3x

divide both side by the coefficient of x which is 3

19/3 = 3x/3

x = 19/3

x = 6 1/3. or 6.33

Suppose m is the line with equation y = −4 and ΔA'B'C is mapped to ΔA"B"C" by applying the glide reflection T3, 0 Rm.
What are the coordinates of ΔA″B″C″?

Answers

Answer:

The coordinates of ΔA''B''C'' are;

A''(-1, -3), B''(-2, -6), C''(1 , -7)

Step-by-step explanation:

A glide reflection involves the reflection of the preimage over a given line, followed by the translation of the resulting image along the given line

Given that the coordinates of the triangle ΔA'B'C' are;

A'(-4, -5), B'(-5, -2), C'(-2, -1), we have by reflection across the line y = -4

A''(-4, -4 + 1) = A''(-4, -3)

B''(-5, -4 - 2) = B''(-5, -6)

C''(-2, -4-3) = C''(-2, -7)

Translation of A''B''C'' by T 3, 0, we have;

A''(-4, -3)  → T₃, ₀ → A''(-4 + 3, -3) = A''(-1, -3)

B''(-5, -6)  → T₃, ₀ → B''(-5 + 3, -6) = B''(-2, -6)

C''(-2, -7) → T₃, ₀ → C''(-2 + 3, -7) = C''(1 , -7)

The coordinates of ΔA''B''C'' are therefore;

A''(-1, -3), B''(-2, -6), C''(1 , -7).

Answer:

A″(−1, −3), B″(−2, −6), C″(1, −7)

option A

cylindrical container has a height of 24 inches. Currently, the container is filled with water to a height of 18 inches. A leaky faucet drips into the container, causing the height of the water in the container to increase by 2 inches per hour. The equation below can be used to find t, the number of hours it would take to fill the container.

18 + ?t = 24

What number should be the coefficient of t?

Answers

Answer:6

Step-by-step explanation:

Answer:

6 would be the coefficient

Step-by-step explanation:

So what we are trying to do is solve for t.

18 + t = 24

-18         -18

t = 6

It would take 6 hours to fill the container.

Hope that helps and have a great day!

8
The first term of an arithmetic sequence is 5. The third term of the sequence is 13.
Which of the following expressions represents the nth term of the sequence?
A 4n +1
B) 4n + 5
5n+1
D) 5n + 5

Answers

Answer:A 4n+1

Step-by-step explanation: found the answer key

If the first term of an arithmetic sequence is 5 and the third term of the sequence is 13 then the nth term is A) 4n +1.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference(d).

aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, The first term of an arithmetic sequence is 5.

The third term of the sequence is 13.

As we can conclude that for 2 terms the common difference is increased by 8.

∴ Common difference (d) = 8/2 = 4.

Now, we know the nth term of an arithmetic sequence is,

aₙ = a₁ + (n - 1).d.

aₙ = 5 + (n - 1)×4.

aₙ = 5 + 4n - 4.

aₙ = 4n + 1.

learn more about arithmetic sequence here :

https://brainly.com/question/10396151

#SPJ2

Solve this equation for B: A=BC+D

Answers

Step-by-step explanation:

Simple algebra

A=BC+D

A/C=B+D

(A/C)-D=B

What is the total cost of a piano that costs $1200 with a markup of 75%

Answers

Answer:

900

Step-by-step explanation:

2100
Because it’s a markup which means the price will go up so you multiply 1200 by .75 to get 900 is 75% of 1200 then you add the 900 to 1200 to get 2100

 A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 13 feet per second. One​ day, the equipment elevator begins to descend. After 33 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 12 ​seconds? At that​ time, which elevator is​ deeper?

Answers

Answer:

The position of the equipment elevator is 180 feet deep

The position of the miner's elevator is 156 feet deep

The equipment elevator is deeper.

Step-by-step explanation:

From the question,

For the equipment elevator

Velocity (v) = 4 feet/second

and for the miner's elevator,

Velocity (v) = 13 feet/second

To determine the position of each elevator, the position can be related to the distance covered.

From

Velocity = Distance / Time

Distance = Velocity × Time

Now, from the question,

The equipment elevator first descends for 33 seconds, after which the miner's elevator then start to descend both elevators descend for another 12 seconds. That is, the equipment elevator descends for a total of (33+12) seconds while the miner's elevator descends for 12 seconds.

Now, for the equipment elevator

Velocity = 4 feet/second

Time = (33 + 12 seconds) = 45 seconds

From

Distance = Velocity × Time

Distance = 4 × 45

Distance = 180 feet

The position of the equipment elevator is 180 feet deep

For the miner's elevator,

Velocity = 13 feet/second

Time = 12 seconds

Also, from

Distance = Velocity × Time

Distance = 13 × 12

Distance = 156 feet

The position of the miner's elevator is 156 feet deep

Hence, the equipment elevator is deeper.

find the value
f(-7)

Answers

Answer:

-7f

Step-by-step explanation:

move -7 to the left of f

what is -4x+6y=21 on the graph

Answers

Answer:

Step-by-step explanation:

7 Chris needs to cut a roll of twine into 16 equal lengths for a
project. If the roll of twine measures 900 inches, how long
will each length of twine measure?

Answers

Answer:

I am pretty sure it is 56 because all you have to do is dvided and it comes out to 56.25 but you cant have .25 because that is not an equal peice so yeah I think it is 56

Answer:56.25

Step-by-step explanation:I had same problem it was correct

7)
Lenny accidentally drops his matchbox car into a graduated cylinder. The car has a mass of 10 grams and the water level in the cylinder rises from 41 ml to 46 ml. Determine the density of the matchbox car. The formula for density is D =
m
v
.
A) 0.5 g/ml
B) 2 g/ml
C) 15 g/ml
D) 50 g/ml

Answers

Answer:

B

Step-by-step explanation:

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)​

Answers

Answer:

Do answer C

Step-by-step explanation:

Have a conco with me in the comments please

Answer:

A. M

B. P

C. R

D. Q

Step-by-step explanation:

M = -8

N = -5

P = 0

Q = 8

R = 10

S = 11

PLSSSS!!!!! HELP!!!! ME!!!!! I !!!!! WILL!!!! MARK U!!!!!!!!!!!!

Answers

Answer:

i want to see david not mark

Step-by-step explanation:

duck what is plant? Been wonder tht=at fir long tim. Seen mary sheelly at the frank book!! You seen? HMMMM???!?! Im tired of this instagram ad go away! Its find out!!! Me too!!!

Answer:

I'm pretty sure its 5...

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