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
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?
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.
9, 2, 1,5,9, 7, 1, 2, 2, 5, 6
What is the median for the set of data?
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...
Solve this equation for B: A=BC+D
Step-by-step explanation:
Simple algebra
A=BC+D
A/C=B+D
(A/C)-D=B
Question in the picture
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.
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?
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
what is -4x+6y=21 on the graph
Answer:
Step-by-step explanation:
What are both of these shaded as?
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
what is 14.876 - 4.96
Answer:
9.916 is the answer
PLSSSS!!!!! HELP!!!! ME!!!!! I !!!!! WILL!!!! MARK U!!!!!!!!!!!!
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...
Write your answer with a positive exponent only.
Answer:
1/z
Step-by-step explanation:
(z^-6)/(z^-5)
=[(z^(-6+5)]
=z^-1
=1/z
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?
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
2(x + 4) - 6 = 5x - 17
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
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
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
please need help by october 31, 2020 help!!!!!!
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
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?
What is the total cost of a piano that costs $1200 with a markup of 75%
Answer:
900
Step-by-step explanation:
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
Answer:
B
Step-by-step explanation:
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?
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
Help ya girl out with this one please ASAP <3
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
[tex]6x+6x-7=5\\12x-7=5\\12x=12\\x=1[/tex]
find the value
f(-7)
Answer:
-7f
Step-by-step explanation:
move -7 to the left of f
What is the constant rate of this? Please show your work.
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!
Find the slope of the line through points (3, -8) and (0.4). *
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
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″?
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
Can somebody help me !!
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:
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
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
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?
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!
A negative number is raised to an even exponent. The result is
zero
one
O positive
negative
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?
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
which is the equation of a line that has a slope of 1/2 and passes through point (2,-3)
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
Write the equation of the line that passes through the points (-7, -3) and
(-2,-1)
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