what is the solution of the system of equations below? 2a + 3b = 12 and a = 1/2b - 6
Answers
Answer:
[tex]a= - 3 \\ b = 6[/tex]
Answer:
a=-3, b=6
Step-by-step explanation:
1) First, take a=1/2b-6 and plug it into 2a+3b=12
2(1/2b-6)+3b=12
2) Multiply out the 2
b-12+3b=12
3) Combine like terms
4b-12=12
4) Isolate b by adding 12 to the other side
4b=24
5) Divide by 4 so b doesn't have a variable in front
b=6
To solve for a:
You know that b=6, and a=1/2b-6 so you can plug in b to solve for a
a=1/2(6)-6
Solve the equation to get a
a=3-6
a=-3
Attached is a written explanation
Related Questions
6. The graph below shows the distance of three runners compared to the time during a race. Which of the following is not a true statement based on the graph? A, B, C. Distance Time
questions in photo
F. Runner B gradually increased his speed.
G. Runner A started in 2nd place and finished 1st
H. Runner C ran the furthest distance.
J. Runner C gradually decreased his speed.
Answers
Answer:
Its H. they all ran the same distance, so C didn't run the furthest, they just took the most time.
Please help needed in 5 mins
Answers
Answer:
93.75 square feet
Step-by-step explanation:
[tex]((12.5+6.25)/2)*10[/tex]
so (18.75/2)*10
93.75 square feet
Please help solve the quadratic equation
Answers
Answer: To use the calculator: Enter the corresponding values into the boxes below and ... to and add to. i) In a quadratic equation in the form ax2 bx c 0, if.
Step-by-step explanation:
According to the information, we can infer that some coordinates of this quadratic equation are: (-2, -3), (-1, -0.75), (0, 0), (1, -0.75), and (2, -3)
How to solve the quadratic equation?To solve the quadratic equation, we need to set the equation equal to zero:
-0.75x^2 = 0Now, we can divide both sides by -0.75 to isolate x^2:
x^2 = 0/(-0.75)x^2 = 0Taking the square root of both sides, we get:
x = 0Therefore, the solution to the quadratic equation s(x) = -0.75x^2 is x = 0.
According to the previous information, we can infer that the equation s(x) = -0.75x^2 represents a downward facing parabola. Here are 5 possible coordinates on this curve:
(-2, -3)(-1, -0.75)(0, 0)(1, -0.75)(2, -3)Learn more about parabola in: https://brainly.com/question/31142122
#SPJ1
let's say I start something at 10:20 pm on the 18 of April and I finish that thing at 12:06 am 19th of April. How much time did I spend doing that thing (Would like a explaination)
Answers
First, let's convert the start time to 24-hour format, which is 22:20. Then, we can subtract 22:20 from 00:06 (12:06 am).
00:06
- 22:20
____
01:46
Therefore, you spent 1 hour and 46 minutes doing that thing.
1 hour is 60 minutes, at 11:00 pm you would have spent 40 minutes doing what you had started so from 10:20pm to 11:00pm 40 minutes passed. Then you would add 60 minutes from 11:00pm to 12:00am.
( although 12:00 is marked as we know that 12:00 am marks the earths rotation of a day which means at 12:00am the sun has begun to reach your point of rotation on earth) from 12:00am to 12:06am it has past 6 minutes
40mins + 60mins+6mins=106mins
1 hour goes into 106mins so
106-60= 46
You spent 1 hour and 46mins
What is the answer?I am very confused just cant find the answer can you help me?
Answers
Answer:
The answer is 4 1/3
Step-by-step explanation:
If you have any questions ask me please!
4 1/3 laps total equaling 3 miles
pls mark as brainliest hope this helps you
It my last attempt need help I will give 20 points
Answers
Answer:
The Correct answer is the
Bottom plot
Answer:
The top plot
Step-by-step explanation:
Box and Whisker Plot
box plot
Description
A Box and Whisker Plot (or Box Plot) is a convenient way of visually displaying the data distribution through their quartiles.
The lines extending parallel from the boxes are known as the “whiskers”, which are used to indicate variability outside the upper and lower quartiles. Outliers are sometimes plotted as individual dots that are in-line with whiskers. Box Plots can be drawn either vertically or horizontally.
Although Box Plots may seem primitive in comparison to a Histogram or Density Plot, they have the advantage of taking up less space, which is useful when comparing distributions between many groups or datasets.
Here are the types of observations one can make from viewing a Box Plot:
What the key values are, such as: the average, median, 25th percentile, etc.
If there are any outliers and what their values are.
If the data is symmetrical or not.
How tightly is the data grouped.
If the data is skewed and if so, in what direction.
Two of the most commonly used variation of Box Plot are: variable-width Box Plots and notched Box Plots.
fill in the blanks this is on simple probability if that helps
Answers
Answer:
[tex]\large \boxed{\mathrm{ion \ even \ know \ fr \ }}[/tex]
In the diagram of a fan below, CA = 9.5 in. this is the distance from the center to a point on the fans blade. what is the distance point A travels in one rotation of the fans blade
Answers
Answer:
About 59.66 inch
Step-by-step explanation:
To find the circumference you first have to find the diameter which is the double the radius. Since 9.5 is the radius of this circle, the diameter is, 9.5x2=19.
With the diameter of 19, you multiply the 19 with pie which is approximately 3.14. The answer is 19x3.14=59.66
C = 2 * pi * r
C = 2 * pi * 9.5
C = 59.69 in.
So point A travels a distance of approximately 59.69 inches in one rotation of the fan's blade.
another word problem with metric units....help
Answers
Answer:
4.4
Step-by-step explanation:
I think
In the data set below, what is the interquartile range?
23 58 58 64 76 87
Answers
Answer: IQR= 18
Step-by-step explanation:
First, you need to put the numbers in order from least to greatest, which they already are.
23, 58, 58, 64, 76,87
then, you draw an imaginary line down the middle of the numbers (between 58 and 64), and then you find the number in the middle of these. The Q1 is 58, and the Q3 is 76. In order to find the Interquartile range (IQR), you simply subtract the two.
76-58= 18
And you have your answer
Hope this helps!
Answer:
44
Step-by-step explanation:
First, we need to find the median in the data set.
It's between 58 and 64. To find the median, we add those two numbers and then divide by 2.
58 + 64 = 122
122 ÷ 2 = 61 (Mark this point in between the numbers on the data set)
median = 61
23, 58, 58, | 64, 76, 87
Now that we have the median, we have to find the upper quartile and the lower quartile in order to find the interquartile range.
Lets find upper quartile first. In order to do that, add up all the numbers to the right of the data set from the median point, then divide by 2.
64 + 76 + 87 = 227
227 ÷ 2 = 113.5
The same goes for the lower quartile (to the left).
23 + 58 + 58 = 139
139 ÷ 2 = 69.5
Lastly, to find the interquartile range, simply subtract the lower quartile from the upper quartile.
113.5 - 69.5 = 44
Therefore interquartile range = 44.
sorry if Im wrong
Rewrite each equation without absolute value for the given conditions: [tex]y=|x-5|+|x+5|[/tex] if x<-5
Answers
Answer:
y = 10, if x < -5
Step-by-step explanation:
10. The graph shows the amount in Harold's savings account over a certain number of weeks. Find the rate of change and record it in the grid. Amount In Savings ($)
questions in photo
Answers
Answer:
-10.5
Step-by-step explanation:
Pick two points that the line overlaps. We can see the points are on (0,63) (2,42) and (4,21). Lets use (2,42) and (4,21). To find the rate of change (m) the formula needed is y^2 - y^1 divided by x^2 - x^1. 21-42=-12 over 4-2=2. So we get -10.5 for the rate of change.
Answer:
rate of change is -10.5
Step-by-step explanation:
can i have some help
What is the perimeter of this composite shape? ___ ft.
Use 3.14 for "pi" and round to the nearest hundredths place
Answers
Answer:
36.85 ft
Step-by-step explanation:
3 feet on either end + 6 feet on either side + circumference of the circle
3 + 3 + 6 + 6 + circumference of the circle
18 + circumference of the circle
You can find the circle's diameter by subtracting 6 from 12. You get 6. You can find the radius by dividing the diameter by 2. You get 3.
The formula for circumference is 2·π·Radius
2 · π · 3 = 6 · π = 6 · 3.14 ≈ 36.85
Find the line parallel to y = -2x - 5
that includes the point (-1, 3).
Enter the y value of the point.
(× –
Remember: y - y₁ = m(x - x₁)
y- [?] =
Answers
Using the point-slope form: y - y₁ = m(x - x₁)
Plug in the values: y - 3 = -2(x - (-1))
Simplify: y - 3 = -2(x + 1)
Now, we can find the y value of the point:
y - 3 = -2(-1 + 1)
y - 3 = 0
y = 3
So, the y value of the point is 3.
Im horrible at this stuff but I tried for you
Last attempt will give 20 points
Answers
Answer:
Unable to determine given the data.
Step-by-step explanation:
You can't determine the mode because you would need the set list of numbers, and not just the box plot.
Answer:
unable to determine the given data
Step-by-step explanation:
What is mode?The mode is the value in a set that appears most often.
In order to identify the mode, we would need the set of numbers.
Because, we are only given the box plot, we cannot find the number that appares the most , so we are unable to determine the given data.
Can you please show your work on paper if you can
Answers
Answer:
Answer is in the image below! :)
Step-by-step explanation:
If you have any questions ask me please!
cld someone pls help me i need it asap wait mb its not math its science
Answers
Answer:
Step-by-step explanation:
6345634563456345
could I have some help, please
What is the perimeter of this composite shape? ___ cm
Answers
Answer:
The answer is 54 cm!
Step-by-step explanation:
You have to add all the sides together, once you do that you will get a sum of 54 cm. So 54 cm is the answer!
If you have any questions please ask me! :)
Answer: The perimeter is 132
Translate the sentence into an equation.
Nine times the sum of a number and 6 equals 8.
Use the variable w for the unknown number.
Answers
Answer:
9 x w + 6 = 8
Step-by-step explanation:
Helpnasapvpledssd help asap pls
Answers
Answer:
lower quartile = 3
media = 8
upper quartile = 9
FINALLY!!! THE LAST SLOPE PUZZLE! PUZZLE 5!!
Answers
Answer: I have no idea how to solve this
Step-by-step explanation: need more info
Answer:
I only know 3, sorry :')
Its -3
fill in the blanks.
Triangles are both__________and________.
Answers
Answer:
two dimensional and polygonal
halp meh p|z!!!!!
People said that both of these equal the same answer but I don't think that the answers can be repeated...
I'm not sure. Maybe they can.
But I just need to double check.
Answers
Halp meh p|z!!!!! I already asked this exact question but I accidentally put in the wrong screenshot.
People said that both of these equal the same answer but I don't think that the answers can be repeated...
I'm not sure. Maybe they can.
But I just need to double check.
Answers
Answer:
it's A/ m= -2.
9. The graph below represents Randy's drive to school. Which of the following is a correct conclusion based on the graph? Distance Time
questions in photo
A. Randy stopped twice on the way to school.
B. Randy drove uphill most of the drive.
C. Randy increased his speed the entire drive. D. Randy did not make any stops on the way to school.
Answers
Answer:
The answer is A. Randy stopped twice on the way to school
Hope that helps!
Step-by-step explanation:
Someone help please i need this fast like asap
Answers
Answer:7ft2
Step-by-step explanation: 3 x 2 = 5 1 x 2 = 2 5 + 2 = 7
Answer the written question only : Explain the meaning of both values in the context of the situation.
Slope and Y-intercept and what they both mean!
Answers
Answer:
see below
Step-by-step explanation:
Slope: The slope is [tex]\frac{rise}{run}[/tex], and this means that depending on how many students are increased, then the total number of flags also increases.
Y-intercept: When x=0, when there are 0 students, how many flags are already made.
The slope is
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{44-8}{12-0}\\ =\frac{36}{12}\\ =3[/tex]
The y intercept is (0,8)
In this context, the slope represents that for every 3 students, 1 flag string is made. The y-intercept represents that when no students had made their own flag string, 8 flag strings had already been pre-made.
To answer the very last question (even though you didn't ask for it), the equation would be:
y=3x+8
Hope this helps additionally! :)
Answer:
The y-int=8 and the slope=3
Step-by-step explanation:
y-int in this situation means that they start with 8 flags.
slope means that each time there are 3 more students then there is 1 more flag. (I think)
i need some help with a math question what is the radius of a circle if the circumference is 6
Answers
Answer:
0.95493
Step-by-step explanation:
I think this is the answer you are looking for?
If you have any questions just ask me :)
The length of a cell phone is 1.4 1.4 inches and the width is 4.2 4.2 inches. The company making the cell phone wants to make a new version whose length will be 1.75 1.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answers
If the side lengths of the new phone are proportional to the old phone, then we can set up a proportion:
1.4/4.2 = 1.75/x
Solving for x, we get:
x = 5.25 inches
So the width of the new phone will be 5.25 inches.
Answer:
The answer is 5.25 inches!
Step-by-step explanation:
If you have any questions please ask me! :)
Please Help
If the area of the shaded region in the diagram below is 103 square feet, what are the dimensions of the inside rectangle?
(Please don't mind my work)