Answer: b. one solution: (2.5, 0).
Step-by-step explanation:
y = 2x - 5
-8x - 4y = -20
-8x - 4y = -20
-8x - 4 * (2x - 5) = -20
-8x - 8x + 20 = -20
20 + 20 = 16x
16x = 40
x = 40/16
x = 2.5 y = 2x - 5 = 2 * 2.5 - 5 = 5 - 5 = 0
(x, y) = (2.5, 0)
The system of equations will have a unique solution (2.5, 0)
What is system of equations?A system of equations is a set or collection of two or more equations with the same variables. The common solutions are the intersecting points of the equations.
Given is a system of linear equations y = 2x-5 and -8x-4y = -20
y = 2x-5......(i)
-8x-4y = -20
Rearranging the equation,
8x+4y = 5
2x+y = 20
y = 20-2x.......(ii)
Solving the equation,
20-2x = 2x+5
15 = 4x
x = 2.5
Put x = 2.5 in eq(i)
y = 2(2.5)-5
y = 0
Now, determining how many solutions do this system has,
Ratios of the coefficient,
1/1, 1/4, -1
Since, 1/1 ≠ -1
Therefore, the system of the equation has only one solution.
Hence, the system of equations will have a unique solution (2.5, 0)
Learn more about system of equations, click;
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Pls help. Last question
Answer:
180
Step-by-step explanation:
i think
you don't have to do them all but thank you so much for you help
Answer:
52-LCM=40 53-LCM=18 54-LCM=24 55-LCM=56
Step-by-step explanation:
If a point is on the the orgin of a coordinate table, would it also be on the y-axis?
( Giving Brainlest to the best answer )
Answer: Yes,
Step-by-step explanation: Think about it, its on the orgin so it would really be on both the x and y-axis.
Hope this helps! Have a good day!
A top view sink is in the shape of a semicircle. (it's 50 inches)
Part A: Find the radius of the sink.
Part B: Find the arc length of the sink. (Use 3.14 for)
Answer:
we are not able to answer this because you did not put answers nor a question
Find the quotients.
48 ÷ 3=
.
Divide 54 apples into 6 equal groups. How many apples are in each group?
apples are in each group.
Answer:
48 divided by 3 = 16
Step-by-step explanation:
If you divided 54 apples into 6 groups, 9 apples are in each group.
The table below models the cost, y, of using a high-efficiency washing machine and a standard washing machine over x number of years.
Which equation represents the cost of the high-efficiency washing machine over a given number of years?
Which equation represents the cost of the standard washing machine over a given number of years?
After how many years of use would the washing machines cost the same amount?
Which washing machine would be the more practical purchase if kept for 9 years?
Q1: y = 25x + 500
Q2: y = 30x + 400
Q3: 20 years
Q4: Standard washing machine
Step-by-step explanation:1 - First Problem"Which equation represents the cost of the high-efficiency washing machine over a given number of years?"
NOTE: There will be a lot of reading at first, however, it covers the process of the first question and the second.
1.1 - Pinpointing key terms
This is a useful skill that never stops being practiced. The trick to it in this situation is to cross-examine information which, in our case, is the word problem and the graph.
Doing this we will notice this;
"Which equation represents the cost of the high-efficiency washing machine over a given number of years?"
For further clarification, we will look specifically at these two columns in our chart to answer the first problem
1.2 - Deciding which formula would best represent the data
The slope-intercept formula is used to measure data trends, and as such we can use it, and its rules, here. (Technically f(x) in general is universally recognized for this.)
1.3 - Determine which column to assign as the x values and which to assign as y values
Our y-axis is what we're measuring for, and that we want to find, and our x-axis is for the values that which our y values change in correlation to.
We want to find the high-efficiency cost, we'll as a result assign that column as the y values, at any given year, which in this case was given
1.4 - Find the slope
To do this we'll use the slope formula
[tex]Slope = m = \frac{rise}{run} = \frac{change~in~y}{change~in~x} = \frac{y_2~-~y_1}{x_2~-~x_1}[/tex]
1.4.1 - Defining variables of slope formula
[tex]x__1[/tex] means the first x value of two consecutive points
[tex]x__2[/tex] second x value
(Must be to the right of the first point on a graph, greater than)[tex].^{*Note~1}[/tex]
NOTE: [tex]y__{2}[/tex] [tex]is~derived~from~the~y~value~that~corresponds~with~x__2[/tex]; [tex]and[/tex] [tex]y__1[/tex] [tex]from~x__1[/tex]
Further help in understanding this concept
To help you visualize I'll convert the variables to points
[tex]\left[\begin{array}{ccccc}Number~of~years&|&high-efficiency~cost&|&point\\1&|&525&|&(1, 525)\\2&|&550&|&(2, 550)\\3&|&575&|&(3,575)\end{array}\right][/tex]
1.4.2 -Putting it all together
In this case, we'll use (1, 525) and (2, 550)
As a result of defining of variables section, our x1 and y1 is (1, 525) and our x2 and y2 is (2, 550)
So, now lets plug and solve
(y2-y1)/(x2-x1)
On top:
y2 - y1 = 550-525 = 25
On the bottom
x2 - x1 = 2 - 1 = 1
Therefore our slope is 25/1 which is 25
1.5 - Finding our y-intercept, b, for y = mx + b
All we need to do now that we know the slope, and that we have a chart, is continue the trend in reverse to find y
because our slope was 25/1 that means that y increases by 25 for every increase of 1 that occurs in our x;
The reverse is for every decrease of 1 x, y decreases by 25
Using that we'll need to decrease our x and y accordingly until x equals 0
(1, 525)
- (1, 25)
(0, 500)
Our y intercept, b, in this case is 500
Therefore now we have the needed information to complete the formula
y = mx + b
y = 25x + 500
2 - Second Problem"Which equation represents the cost of the standard washing machine over a given number of years?"
2.1-2 - Assigning x and y
y = Standard Cost
x = Number of years (given)
y = mx + b
2.3 - Find the slope
[tex]Slope = m = \frac{rise}{run} = \frac{change~in~y}{change~in~x} = \frac{y_2~-~y_1}{x_2~-~x_1} = \frac{460~-~430}{2~-~1} = \frac{30}{1} = 30[/tex]
2.4 - Find the y-intercept, b, using the slope
(1, 430)
- (1, 30)
(0, 400)
y-intercept = b = 400
2.5 - Plug it in slope-intercept form
y = mx + b
y = 30x + 400
3 - Third Problem"After how many years of use would the washing machines cost the same amount?"
We need to set the two equations equal to each other, and thanks to the fact they're both equal to y, this allows us to do so through substitution
3.1 - Write the equations
y = 25x + 500
y = 30x + 400
3.2 - Substitute an equation in for the y of the other and simplify and solve algebraically
30x + 400 = 25x + 500
- 400 -400
-25x -25x .
5x = 100
x = 20
After 20 years they will be equal
4 - Fourth Problem"Which washing machine would be the more practical purchase if kept for 9 years? "
To answer this we just plug in 9 for x in each equation and see which is cheaper
4.1 - Rewrite
High Efficiency
y = 25x + 500
Standard
y = 30x + 400
4.2 - Plug in
High Efficiency
y = 25(9) + 500
Standard
y = 30(9) + 400
4.3 - Solve
High Efficiency
y = 25(9) + 500
y = 225 + 500
y = 725
Standard
y = 30(9) + 400
y = 270 + 400
y = 670
In this case the standard would cost less therefore our answer is the standard washing machine
Number 11 and 12 I will add points!
Answer:
11 is 27m i can't see the question for 12 tho
Step-by-step explanation:
7x4 +90+600x8999+21 x 5/7
Answer:
5399533
Step-by-step explanation:
Ehh
Please answer this one question, please don't just answer one part of it.
Answer:
31, 33, 35, 37, 39, 43, 45
Step-by-step explanation:
Answer:
31, 33, 35, 37, 39, 43, 45
Step-by-step explanation:
Hope I helped
Have a great day
Choose the equation for the line in slope-intercept form.
you can just copy this answer and get brainly
Use the coordinate plane to plot the point (3, 6). Then complete the statements that explain how to plot the point.
Start at the
✔ origin
.
Move 3 units
✔ right
.
Move 6 units
✔ up
.
Plot a point.
Answer:
Start at the
✔ origin
.
Move 3 units
✔ right
.
Move 6 units
✔ up
.
Plot a point.
Step-by-step explanation:
Answer:
Origin, Right, Up
Step-by-step explanation:
helppppppp pleaseeeee!!
Answer:
increasing-positive slope
decreasing-negative slope
constant-zero slope
Step-by-step explanation:
Positive slope would be the graph increasing because the line would be going up and to the right.
Negative slope would be the graph decreasing because it would be going down, and to the right.
Zero slope would be constant since it does not change.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
The first person to get this right gets brainliest
Draw three lines with slope 2, and three lines with slope 1/3. What do you notice?
Answer:
for every inch the line goes to the right, it drops by 1/3 of an inch
Step-by-step explanation:
Using two of the points on the line, you can find the slope of the line by finding the rise and the run
The slope of a line represents the rate of change of the line.
When a line has a slope, then such line is represented by a linear equation.
A linear equation is represented as:
[tex]\mathbf{y = mx + b}[/tex]
Where m represents slope, and b represents the y-intercept.
This means that, the following line equations have a slope of 2
[tex]\mathbf{y = 2x}[/tex]
[tex]\mathbf{y = 2x + 1}[/tex]
[tex]\mathbf{y = 2x - 1}[/tex]
And the following line equations have a slope of 1/3
[tex]\mathbf{y = \frac 13x}[/tex]
[tex]\mathbf{y = \frac 13x + 1}[/tex]
For the line equations with a slope of 2.
As the line runs (horizontally) by 1 point, it rises by 2 points (vertically)
For the line equations with a slope of 1/3
As the line runs (horizontally) by 1 point, it rises by 1/3 points (vertically)
See attachment for the drawing of the lines
Read more about slopes at:
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What is the sum 1 1/6+2 3/8=
Answer:
3 13/24
Step-by-step explanation:
Rewriting our equation with parts separated
Start by taking apart the fractions and figuring it out one by one.
1 1/6 + 2 3/8
1+2= 3! that's the start then you move on
the LCD is 24, so it's.on the bottom!
Find the LCD and you will get 4/24 + 9/24= 13/24
then add the 3
and the answer is
3 13/24
Answer: 3 13/24
I hope the answer helps you!
Mark me as brainiset if you think it is right
The Carter family went to Brixx pizza for dinner Saturday night. Their meal costs a total of $54.65 and they want to leave their waiter a 20% tip. How much should the tip be?
Find the volume of the given cylinder. Use 3.14 forn and round to the nearest tenth.
8 in. 8in.
16077 in
2.845.7 in
6.430.7 in
4019 in
Answer:
i think it is 1 or 5
Step-by-step explanation:
The required volume of the given cylinder will be 1607.7 cubic inches.
What is the volume of a cylinder?The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it
V = πr²h
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
Given that the radius and height of a cylinder are 8 in. and 8 in. respectively
The volume of a cylinder V = πr²h
As per the given question,
Here r = 8 in. and h = 8 in.
The of a cylinder = 3.14 × (8)² × (8)
Apply the multiplication operation,
The volume of a cylinder = 1607.7 cubic inches
Therefore, the required volume of the given cylinder will be 1607.7 cubic inches.
Learn more about the volume of the cylinder here :
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find the circumference. round the answer to the nearest tenth.
Answer:
c
Step-by-step explanation:
Plz Answer This Mathematics Question??? NEED HELP ASAP
Which could be used to evaluate the expression Negative 6 (4 and two-thirds)?
(Negative 6) (4) + (negative 6) (two-thirds)
(Negative 6) (4) times (negative 6) (two-thirds)
(Negative 6 + 4) + (Negative 6 + two-thirds)
(Negative 6 + 4) times (negative 6 + two-thirds)
Answer:The answer is (Negative 6) (4) + (negative 6) (two-thirds)
Step-by-step explanation:
So basically, Negative 6x4= negative 24. Then you have to add Negative 6 x two-thirds. So 6 times two-thirds equal 4. So now you just add 24 and 4. And that equals 28. :)
1000 grams
1 kilogram
6,000 grams
x kilograms
Answer:
6 kilograms
Step-by-step explanation:
Answer:
The answer is 6 Kilograms.
Step-by-step explanation:
Since 1000 grams are in 1 kilogram,
6 x 1000 = 6000 grams
6 being the kilograms
Given these similar triangles, what is the common ratio of triangle LJK to triangle EFG?
1.5
2
3
4
Answer:
Step-by-step explanation:
3
What is the decimal equivalent of 17/20?
A. 0.085
B. 0.117
C. 0.85
D. 8.5
Answer:
C
Step-by-step explanation:
Well its not A,B,orD because the first two are hundreths and the last one is way too big(greater than 1) so it must be C
Hope this helps :D Please mark brainliest if correct
What is the slope of the line...
Answer:
-2/5
Step-by-step explanation:
you have to do y2-y1 and x2-x1
Which choice best represents the area of a circle with a diameter of 16 cm. Use ≈3.14
Question options:
256 centimeters squared
803.84 centimeters squared
25.12 centimeters squared
200.96 centimeters squared
Answer:
200.96 centimeters squared
Step-by-step explanation:
16 / 2 = 8
3.14 x 8 x 8
Since the formula is 3.14r^2, you have to divide the diameter into 2 raidiuses to get the circle area.
A bag contains 5 yellow marbles,2 blue marbles, and 3 other marbles. If Jerome reaches into a bag without looking and picks a marble at random, what is the probability that it is blue? (Alegbra expression)
Answer:2/10
Step-by-step explanation:
Answer:
unlikely
Step-by-step explanation:
There are 10 marbles altogether, 5 are yellow, 2 are blue, and 3 are random.
There are 3 more yellow marbles than blue marbles.
There is 1 more random marble than blue marbles.
Therefore, it is unlikely Jerome will get a blue marble.
(I just realized you asked for an Alegbra expression.. sorry)
−3(n + 4) = 9
What does n equal? Can I also have an explanation please I will give brainliest if you do!
SOLVE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
p=-9
Step-by-step explanation:
9+p=-p-10+1
9+p=-p-9
-9 +p +p -9
2p=-18
p=-9
you dont have to do all the questions atleast like two
Answer:
the answer for number 1 is 72
Step-by-step explanation:
Assume the unknown value is 'Y'
18 = 25% x Y
18 = 25/100 x Y
Multiplying both sides by 100 and dividing both sides of the equation by 25 we will arrive at:
Y = 3 x 100/25
Y = 72%
Answer: 18 is 25 percent of 72
If you want to use a calculator to check my answer just simply enter 18x100÷25 and you will get your answer which is 72
Answer:
1. x =72
2. 60
3. 96
4. 5
Step-by-step explanation:
Write an equivalent expression using the associative property
7 + (3 + 8)
Answer:
(7+3)+8
Step-by-step explanation:
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 64 miles due north of the warehouse.
Coordinate grid shown from negative 48 to positive 48 on x axis at intervals of 8 and negative 48 to positive 48 on y axis at intervals of 8. A line is shown between the points labeled Airport and Warehouse. Airport is the ordered pair negative 24, 32, and Warehouse is the ordered pair 24 and negative 32. A signage showing directions North, South, East, and West is shown in the empty quadrant on the graph.
A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?
48 miles
56 miles
104 miles
128 miles
Answer:
warehouse location (24,-32)
airport location (-24,32)
distance = sqrt((x2-x1)^2 +(y2-y1)^2)=
Sqrt(24--24)62 +(32--32)^2) =
sqrt(48^2 +64^2) =80
then distance from airport to the factory = -24 to 24 = 48
80+48 = 128 miles total
Step-by-step explanation:
Answer:
128 miles
Step-by-step explanation:
It is simple math
