A. 3x+5-x-2x=1 has only one solution.
To have exactly one solution, the equation must be consistent (have a solution) and not have infinitely many solutions. An equation will have infinitely many solutions if both sides of the equation simplify to the same expression, meaning that any value of x that satisfies one side of the equation will also satisfy the other side. Therefore, we need to simplify each equation and check for consistency and the possibility of infinitely many solutions.
A. 3x + 5 - x - 2x = 1
Simplifying, we get:
0 = -6x - 4
6x = -4
x = -2/3
This equation is consistent and has exactly one solution, x = -2/3.
B. 8 - 2(x + 1) = 6x + 6
Simplifying, we get:
6 - 2x = 6x + 6
-8x = 0
x = 0
This equation is consistent, but it simplifies to -8x = 0, which means that any value of x will satisfy the equation. Therefore, this equation has infinitely many solutions.
C. 5x + 3 + x = 3(2x + 1)
Simplifying, we get:
6x + 3 = 6x + 3
0 = 0
This equation simplifies to 0 = 0, which means that any value of x will satisfy the equation. Therefore, this equation has infinitely many solutions.
D. 4(x - 4) = 2x + 2(x - 4)
Simplifying, we get:
4x - 16 = 4x - 8
-16 = -8
This equation simplifies to -16 = -8, which is not true for any value of x. Therefore, this equation is inconsistent and has no solutions.
Therefore, the only equation that has exactly one solution is A. 3x + 5 - x - 2x = 1.
Learn more about linear equations:
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A. 3x+5-x-2x=1 has only one solution.
To have exactly one solution, the equation must be consistent (have a solution) and not have infinitely many solutions. An equation will have infinitely many solutions if both sides of the equation simplify to the same expression, meaning that any value of x that satisfies one side of the equation will also satisfy the other side. Therefore, we need to simplify each equation and check for consistency and the possibility of infinitely many solutions.
A. 3x + 5 - x - 2x = 1
Simplifying, we get:
0 = -6x - 4
6x = -4
x = -2/3
This equation is consistent and has exactly one solution, x = -2/3.
B. 8 - 2(x + 1) = 6x + 6
Simplifying, we get:
6 - 2x = 6x + 6
-8x = 0
x = 0
This equation is consistent, but it simplifies to -8x = 0, which means that any value of x will satisfy the equation. Therefore, this equation has infinitely many solutions.
C. 5x + 3 + x = 3(2x + 1)
Simplifying, we get:
6x + 3 = 6x + 3
0 = 0
This equation simplifies to 0 = 0, which means that any value of x will satisfy the equation. Therefore, this equation has infinitely many solutions.
D. 4(x - 4) = 2x + 2(x - 4)
Simplifying, we get:
4x - 16 = 4x - 8
-16 = -8
This equation simplifies to -16 = -8, which is not true for any value of x. Therefore, this equation is inconsistent and has no solutions.
Therefore, the only equation that has exactly one solution is A. 3x + 5 - x - 2x = 1.
Learn more about linear equations:
https://brainly.com/question/2030026
4. In one year, a theme park had approximately 2 x 10^7 guests. In the same year, a second theme park had approximately 4 x 10^6 guests. Which is a true statement about the number of guests each theme park had?
Mark only one oval.
F. The first theme park had about 5 times as many guests than the second.
G. The second theme park had about 2 times as many guests than the first
H. The first theme park had about 10 times as many guests than the first.
J. The first theme park had about 2 times as many guests than the first.
Solve and show each step
Answer:
Step-by-step explanation
10 raised to the of 7
=10*10*10*10*10*10*10
=10000000
= 2*10000000
=20000000
10 raised to the power of 6
10*10*10*10*10*10
=1000000
=2*1000000
=2000000
S0, 1st year 1st theme park
=20000000
and 2nd year 2nd theme park
=20000000
Comparision of 20000000 and 2000000
SO, the correct answer is option h The first theme park had 10 times as many guests the the first.
Solve and show each step
Answer:
[tex]m = \frac{725 - 400}{50 - 25} = \frac{325}{25} = 13[/tex]
So the correct answer is J. c = 13p + 75
Below is a single die and a spinner with the numbers from 1 to 8.
(A) if the die is tossed and the pointer is spun what is the problability of getting a 5 on the die and a 7 on the spinner?
(B) What is the problability of getting a number less than 3 on the die and a number greater than 5 on the spinner?
Answer:
(A) P(5 on die) = 1/6, P(7 on spinner) = 1/8
(1/6)(1/8) = 1/48
(B) P(less than 3 on die) = 2/6 = 1/3
P(greater than 5 on spinner) = 3/8
(1/3)(3/8) = 1/8
May somebody help with this please!
Answer:
5 ft
Step-by-step explanation:
In order to find the missing side length, we need to take a look at what has been given to us.
From what I see, this shape looks like two rectangles connect at their ends.
What do we know about rectangles?
-Rectangles have 2 sets of sides that are equal length, totaling 4 sides.
So, let's say we know the length of the longest side of the tallest rectangle.
-That side length is 15ft.
Now, we know that the opposite side of that imaginary rectangle has to be of equal length of 15ft. But, only 10 ft are show...
Since we know that there are more than 10 ft we must subtract 10 ft from the 15 ft to get the side length marked as "?", or what should have been left at that side.
15ft - 10ft = 5ft
math
screenshots
every question will ask to find the slope.
thank you
happy/hoppy easter-eve
what value of x makes this equation true -(x+3)=2(x-3)
A. 0
B. 1
C. 2
D. 3
Answer:
To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:
Step 1: Distribute the negative sign on the left side of the equation:
-(x + 3) = 2(x - 3)
=> -x - 3 = 2(x - 3) (using the distributive property)
Step 2: Expand the right side of the equation:
-x - 3 = 2x - 6
Step 3: Add x to both sides of the equation to isolate the x term on one side:
-x + x - 3 = 2x + x - 6
=> -3 = 3x - 6
Step 4: Add 6 to both sides of the equation:
-3 + 6 = 3x - 6 + 6
=> 3 = 3x
Step 5: Divide both sides of the equation by 3 to solve for x:
3/3 = 3x/3
=> 1 = x
So, the correct value of x that makes the equation true is B. 1.
PLEASE MARK BRAILYISTT :D
Answer:
B, one
Step-by-step explanation:
In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.
Can someobody help me solve this question? brainly + ASAPP!!!!!!!
Answer:
Step-by-step explanation:
All the sides:
178+100+200+220+160+320+178+360
=1716 cm
The requried surface area of the given prism is 1716 square centimeters.
What is the surface area?The surface area is the total area that covers the surface of a three-dimensional object. It is calculated by adding up the area of all the faces or surfaces of the object. For example, the surface area of a cube can be calculated by adding up the areas of all six faces.
Here,
The surface area of the given prism is given as:
Surface area = 5*20 + 10*20 +20*8 + 11*20+2[5*10+16*8]+16*20+20*18
Surface area = 1716 square centimeters
Thus, the requried surface area of the given prism is 1716 square centimeters.
Learn more about the surface area here:
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Please help I have 5 minutes!!
0.2 x (5 - 0.7) + 1.8 / 2 as
P E M D A S
Answer:
1.76
Step-by-step explanation:
Using the PEMDAS order of operations, we get:
0.2 x (5 - 0.7) + 1.8 / 2
= 0.2 x 4.3 + 0.9
= 0.86 + 0.9
= 1.76
So the answer is 1.76
Hope this helps!
Solve, and show every step
In a game of chance, players spin the pointer of a spinner with six equal-sized sections.
The outcomes of the game are shown in the table below.
Which outcome has a frequency closest to its expected frequency?
A)1
B)2
C)3
D)4
Answer:
D)4 i think because it is the one landed on the most.
A swimmer can complete 1 lap across a pool in 1/3 minute. If she maintains that pace, how many laps will she have completed in 10 minutes?
Will it be less than or greater than 10?
Answer: If the swimmer can complete 1 lap across a pool in 1/3 minute, she can complete 3 laps in 1 minute.
In 10 minutes, she would complete:
3 laps/minute x 10 minutes = 30 laps
Therefore, the swimmer will have completed 30 laps in 10 minutes if she maintains that pace.
Since 30 laps is greater than 10, it means that the swimmer will complete more than 10 laps in 10 minutes.
Step-by-step explanation:
A right rectangular prism has a height of 17.5 centimeters. The area of the base of the prism is 18 square centimeters. What is the volume, in cubic centimeters, of the right rectangular prism? (6.GM.2)
The volume of a right rectangular prism is given by the formula V = lwh, where l, w, and h represent the length, width, and height of the prism, respectively. Since the prism is right and rectangular, the length and width are perpendicular to each other.
We are given that the height of the prism is 17.5 centimeters and the area of the base is 18 square centimeters. Since the base is rectangular, we can find the length and width by dividing the area by one of the dimensions and multiplying by the other. Let's say the length is x and the width is y, then:
xy = 18 (area of base)
y = 18/x (solve for y)
Now, we can substitute the value of y in terms of x into the formula for the volume:
V = lwh = xyh = (18/x)(x)(17.5) = 315 cubic centimeters
Therefore, the volume of the right rectangular prism is 315 cubic centimeters.
What is the value of the expression 2 + 32 ⋅ (3 − 1)? (5 points) 20 22 23 32
You have to use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), and solve in that order. Your question is:
2 + 32 ⋅ (3 − 1)
First, solve the Parentheses part of the question. 3-1 is 2. Your question is now:
2+32*2
Now, solve the multiplication part of the question. 32*2 is 64. Your question is now:
2+64
This is now an easy problem to solve.
The answer is 66.
Hope this helps! :)
ANSWER QUICK PLS
look at the trapezium below, work out the size of angle
angle tuv
angle vwt
give your answer in degrees
Answer:
Step-by-step explanation:
107 is the answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Triangle NMO is drawn with vertices N(−4, −2), M(−1, −1), O(−4 , −5). Determine the image coordinates of N′M′O′ if the preimage is translated 7 units to the left.
N′(3, −2), M′(6, −1), O′(3, −5)
N′(−4, −9), M′(−1, −8), O′(−4, −12)
N′(−4, 5), M′(−1, 6), O′(−4, 2)
N′(−11, −2), M′(−8, −1), O′ (−11, −5)
Answer:
Triangle NMO has vertices N(-4,-2), M(-1,-1), and O(-4,-5). To translate the triangle 7 units to the left, we subtract 7 from the x-coordinate of each vertex. This gives us:
N' = (-4 - 7, -2) = ( -11, -2)
M' = (-1 - 7, -1) = (-8, -1)
O' = (-4 - 7, -5) = (-11, -5)
So the image coordinates of N'M'O' are N'(-11, -2), M'(-8, -1), and O'(-11, -5). Therefore, the answer is D. N′(−11, −2), M′(−8, −1), O′ (−11, −5).
Help pls Much appreciated
Answer:156.7
Step-by-step explanation:700-543.3
.....................
Answer: 258 cubic inches
Answer:
258 cubic inches
hope you like it : )
Estimate: 12 8/9 - 4 2/11
A) 9
B) 10
C) 8
D) 7
Can someone help pls
Answer:
5.6 : 2.4
Step-by-step explanation:
HELPP PLS PLSSSSSS, LOOK AT IMAGE!!!!!!!!!!!
Answer: 1/2
Step-by-step explanation:
1,2,7 out of 6 3/6=1/2
Answer:
2/6
Step-by-step explanation:
1 and 2 are factors of 14 while the rest are not so that is 2 and there are 6 total sides so it would be 2/6
Find the solution for each equation.
Answer:
5x(x - 4) = 10 X = 6
18 + x = 20 X = 2
18= x X 10 - 22 X = 4
Step-by-step explanation.
Answer:
1. X= 6
2. X= 4
3. X= 2
Step-by-step explanation:
Please help I'm struggling with this I have so much homework to do
Answer:
Look at Explaination
Step-by-step explanation:
Im very busy rn so i cant provide an answer, but I can easily explain mean median and mode. Mean is all the numbers added up divided by the amount of numbers there are.
Ex: 1,2,3,4,5 is the number list so you add 1,2,3,4, and 5. Then you divide that sum by 5 because there is 5 numbers there.
Median is simply just the middle of the list, for ex 1,2,3,4,5 3 is the median, but if it is 1,2,3,4,5,6 then you would make it 3.5.
Mode is the most repeated number in the list
Ex: 1,1,2,3,4,5,5,5,6,7
The Mode in the list is 5, since it is repeated 5 times. If none repeated then it is N/A if it is tied then put both numbers.
sorry but... I HAVE AN OTHER SLOPE THINGY
there's only 2 more after this one, I promise
Step-by-step explanation:
1. we can find the slope of the line using this formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
y2, y1, x2, x1 are constants from the two coordinates given, so we just plug them into the formula
[tex]\frac{-13-19}{-1-3}[/tex]
now we evaluate on both ends of the fraction
[tex]\frac{-32}{-4}[/tex]
simplify
[tex]8[/tex]
the slope is 8
2. we are given a graph which means we can simply count the slope
the slope means:
[tex]\frac{rise}{run}[/tex]
which is the change in y over the change in x , this means that we can start at a coordinate and count the slope
using this method, we get a slope of 2
3. the slope is the change in y over the change in x. the y values are decreasing by -8 while the x values are increasing by ones
this means our slope is
[tex]\frac{-8}{1}=-8[/tex]
4. we just have to use the aforementioned slope formula above
[tex]\frac{8-(-10)}{0-9}[/tex]
evaluate
[tex]\frac{18}{-9}[/tex]
simplify
[tex]-2[/tex]
the slope is -2
Solve and show each step
Answer:
The correct answer is B.
Step-by-step explanation:
First off, if you don't already know what's the vertical line test, you're guaranteed to get this question wrong.
The vertical line test is a visual way to figure out if the function is a function. You just draw a line anywhere on the paper, and see if it intersects on one point or more than one point. If it intersects at only one point, it's a function because at the end of the day, you can have only one output for each input.
Think of this as an actual function. For example, if you go to a vending machine, and you put a dollar in for a single bag of chips, the next time you put a dollar in, you should get only one bag of chips, or else the machine is broken. It won't function.
In this case, it's a function since each input has its own output, or it passes the vertical line test, it's good to go. It's not a linear function since it's not straight, but hey, it at least is a function.
Show each step and all worl
Answer:
The correct answer is the one on the bottom. The other answers shown are all wrong. The correct answer is J
Step-by-step explanation:
First off, you have to figure out what's the unit rate, so we come across two points, in this case, I came up with the orgin and (10, 2). We did the rise over the run, which gave us a unit rate of 5 of y for every x. In this case, the correct answer would be H. Even though I can't see what H is, every single other one is correct, so we have to come to the conclusion that H is the correct choice for the one that's wrong.
F matches with the unit rate since 2/10 is also equaled to 0.2/1 since it's 0.2 per piece, so the piece is the x and the 0.2 is the y.
G matches with the unit rate because it's 6 workers per 30 children. 6/30 matches with 2/10.
H matches with the unit rate since it's 9 pages per 45 minutes, making the equation 9/45, which indeed, does match 2/10.
J doesn't match with the unit rate since 10 dollars per 2 hours implies that the equation is 10/2, which gives you the unit rate of 5/1 or 5, which is the reciprocal of 1/5.
Answer:
J. Richie earns $10 every 2 hours to pet sit for his neighbor
Step-by-step explanation:
You want to identify the situation with the different unit rate.
Unit rateFor proportional relations, such as the ones given in this problem, the unit rate is calculated by dividing a value for the dependent variable by the corresponding value for the independent variable. When the coordinates are expressed as an ordered pair (x, y), the unit rate is y/x.
GraphThe graph passes through a couple of grid intersections. One of them has coordinates (10, 2). The unit rate is 2/10 = 0.2.
F GumThe unit rate is the rate for 1 unit: $0.20 for 1 piece. The numerical value of the unit rate is 0.20, same as the graph.
G DaycareThe given relation between children and workers is (children, workers) = (30, 6). The unit rate is 6/30 = 0.2, same as the graph.
H ReadingThe relation between minutes and pages is (minutes, page) = (45, 9). The unit rate is 9/45 = 0.2, same as the graph.
J EarningsThe relation between hours and earnings is (hours, earnings) = (2, 10). The unit rate is 10/2 = 5, different from the graph.
The different unit rate is ...
J. Richie earns $10 every 2 hours to pet sit for his neighbor
__
Additional comment
Calculating the unit rate as y/x only works when the relation is a proportional one. All of the situations here have proportional relations.
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What is the distance from (5, −18) to (5, 24)?
A. −42 units B. −6 units C. 6 units D. 42 units
Answer:
Step-by-step explanation:
b
i was trying to do it but I kept getting it wrong and went from 96 to 80....
I need help really bad please help!
.
I'm Just Guessing At The Possible Answers. Please post a picture of the drop-down answers...
1. Between 3 and 8
2. Well Distrubuted???
3. One Outlier (19.86)
The image of a trapezoid is shown.
What is the area of the trapezoid?
17.4 m2
20.3 m2
40.6 m2
69.6 m2