Solve the two-step equation. 5.1 = –3x – 4.2 1. Add 4.2 to both sides. 2. Divide both sides by -3. The solution is x = _________.
Answers
Answer:
5.1 = -3x - 4.2
-3x - 4.2 = 5.1
-3x = 5.1 + 4.2
-3x = 9.3
x = 9.3/-3
x = -3.1
Answer:
-3.1 =x
Step-by-step explanation:
5.1 = –3x – 4.2
Add 4.2 to each side
5.1+4.2 = –3x – 4.2+4.2
9.3 = -3x
Divide each side by -3
9.3 / -3 = -3x/-3
-3.1 =x
Related Questions
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
AND PLEASE ACTUALLY EXPLAIN/DESCRIBE!
Answers
In a box plot, also known as a box-and-whisker plot, the data is dispersed and represented visually to provide a summary of the distribution and key characteristics of the dataset. Let's describe how the data is dispersed in the box plot for the given data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
1. Median (Q2): The median represents the middle value of the dataset when arranged in ascending order. In this case, the median is around 27 or 28, as it lies between the values 27 and 30.2. Lower Quartile (Q1): The lower quartile marks the boundary between the lower 25% of the data and the upper 75%. It is located approximately around 22 or 23, as it falls between the values 21 and 24.3. Upper Quartile (Q3): The upper quartile marks the boundary between the lower 75% of the data and the upper 25%. It is located around 34 or 35, as it lies between the values 33 and 36.4. Interquartile Range (IQR): The IQR is the range between the upper and lower quartiles (Q3 - Q1). In this case, the IQR is approximately 12 (35 - 23).5. Whiskers: The whiskers represent the range of the data excluding any outliers. They extend from the lower quartile (Q1) to the minimum value and from the upper quartile (Q3) to the maximum value. However, in some cases, the whiskers can also be defined based on certain criteria, such as 1.5 times the IQR. Outliers, if present, are depicted as individual data points beyond the whiskers.6. Outliers: Outliers are data points that significantly deviate from the rest of the dataset. In this case, there are no clear outliers based on the data provided.7. Box: The box in the box plot spans from the lower quartile (Q1) to the upper quartile (Q3) and represents the middle 50% of the data. In this case, the box spans approximately from 23 to 35.By observing the box plot, we can see that the data is moderately dispersed, with the majority of values concentrated around the median. The range of the data is approximately 20 to 38, with some variability within the dataset.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Minimum value: 18
First quartile (Q1): 22
Median: 29
Third quartile (Q3): 36
Maximum value: 38
The box plot is created using these values. A box is drawn from Q1 to Q3 with a line inside the box at the median. Whiskers are drawn from the box to the minimum and maximum values. Any data points beyond the whiskers are plotted as individual points.
In this box plot, the data is dispersed fairly evenly, with no outliers beyond the whiskers. The box is centered around the median, indicating that the data is roughly symmetric. The lower half of the data is slightly more spread out than the upper half, as indicated by the longer whisker on the left side of the box. Overall, the box plot shows that the data is relatively consistent, with no extreme values.
what is 100/2+50/2
:D
Answers
Answer:
The answer is \( \frac{150}{2} \), but when simplified, is 75.
Answer:
75
Step-by-step explanation:
100/2 + 50/2
50 + 25
75
Hope this helps :D
A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour. At 2 p.m., the amount of oil left in
the lantern is 63 ounces. At 5 p.m., the amount of oil left in the lantern is 61 ounces.
Based on the average rate of oil burning per hour, how much oil, in ounces, was in the lantern at 12 noon? Show your work.
Answers
Answer:
64.33 ounces
Step-by-step explanation: The rate at which the oil burns.
1 hour = 2/3 ounce
At 2 pm = 63 ounces
At 5 pm = 61 ounces
The amount of oil at 12 noon is 64.33 ounces.
Christine drew the figure shown below. Madison changes Christine's figure so that
it has every side equal and every angle equal. What figure does Madison make?
Answers
Answer: Square
Step-by-step explanation:
A shape that has four equal sides and four equal angles would be a square
After the changes made by Christine in the diagram the figure obtained will be a square.
What is a square?A quadrilateral with 4 equal sides is called a square. There are numerous items in our surroundings that have a square. Identical sides & internal corners that are both 90 degrees distinguish each square.
The following list includes some of a square's key characteristics:
A quadrilateral having 4 corners and four vertexes is called a square.The square's four quadrants are equal to one another.A square's diagonals are equal to one another.Each vertex of a square has a 90° internal angle.360° is the total of all sides and angles.To know more about square:
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What is the distance of the trip if Ken drives 7 hours at the speed of 65mph?
Answers
Answer:
455 miles
Step-by-step explanation:
Distance = Speed x Time
X = 65 x 7
X= 455 miles
If you are going 65 miles PER hour, then to find the total distance traveled, you'd mutiply the amount of time you have with how fast you are going.
Answer:455 miles
Step-by-step explanation:
Just multiply 65 by 7.
The ratio that compares the measurements of a model and the real object is called what?
Answers
Answer:
Unit Scale
Step-by-step explanation:
A unit scale is a ratio that compares the dimensions of an actual object to the dimensions of a scale drawing or model that represents the actual object. Neither value in a unit scale has to equal 1.
Find the domain , Help ! Help ! Help !
Answers
Answer:
The domain is all real numbers, the range is all positive numbers and the asymptote is x = 0 so the answer is the last option.
PLEASE ANSWER FAST!!!!
On a family camping trip, 5 backpacks can fit in the trailer for every 3 people. If 9 people are going on the trip, how many backpacks can fit?
12 backpacks
14 backpacks
15 backpacks
24 backpacks
Answers
Answer:
15
Step-by-step explanation:
3 people=5 bags
3+3+3=9
5+5+5= 15
Can someone help please and explain how you got your answer and please don't play around I really don't wanna fail. Ill give brainlist too.
Answers
Answer:
5
Step-by-step explanation:
Hello There!
The mean is pretty much the average
So to find the mean we first add up all of the values
2+3+6+6+7+8+8=40
Then we count the amount of points
There are 8 points
our final step is to divide the total value by the total number of points
40/8=5
so the mean (average) would be 5
Mr. Ledger buys a box of 24 donuts for a lesson in his math class about circumference.
Write an equation for the number of donuts y that are left at the end of the day when x donuts are used during the lesson.
Last year, Mr. Ledger used 18 donuts during the lesson. This year, he used 22 donuts.
Place points on the graph to show how many donuts are left at the end of last year's lesson and this year's lesson.
Answers
Answer:
donuts L that are left at the end of the day when U donuts are being used during the day: y=24-x. You minus x, the # of donuts being used from 24, the total amount of donuts. To get your y.
Step-by-step explanation:
I need to write a short explanation on linear equations but I cant find a great way to word it. I only need to write about 3-4 sentences to explain it, someone please help with this.
Answers
Answer:
A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.
An example is y = 8x - 9
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answers
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
Find the lengths and slopes of the diagonals to name the parallelogram. Choose the most specific name. E (-2, -4), F(0, -1), G(-3. 1) H(-5, -2) Note: Be prepared to explain your answer to this type of question on the test using length and slope. a) Rectangle b) Triangle c) Rhombus d) Square ---------------------------------------------------------------------------------------------------------------------------- What would prove the parallelogram PWRS is a rhombus? P(-1, 3), Q(-2, 5), R(0, 4), S(1, 2) a)Length of QR is 2.2 and slope of QR is -2 b) Slope of QR and PS is -2 and Slope of RS and QP is -1/2 c) Length of QS and PR is 4.2 d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2
Answers
Detailed explanation:
The diagonals of the parallelogram must be measured in order to ascertain its name. Let's figure out these numbers:
The slope of the EF is equal to (y2 - y1) / (x2 - x1) = (-1 - (-4)) / (0 - (-2)) = 3 / 2.
Diagonal GH: [(x2 - x1)2 + (y2 - y1)2] is the length of the GH.
= √[(-5 - (-3))² + (-2 - 1)²]
= √[(-2)² + (-3)²]
= √[4 + 9] = √13
Slope of GH is equal to (y2 - y1)/(x2 - x1) = (-2 - 1)/(-5 - (-3)) = -3 / -2 = 3 / 2
Let's examine the outcomes now:
The parallelogram is a rhombus if the lengths of both diagonals are equal (EF = GH) and the slopes of both diagonals are equal (slope of EF = slope of GH).
In our case, EF = GH = √13, and the slopes of EF and GH are both 3/2. Therefore, the parallelogram is a rhombus.
Therefore, the correct answer is c) Rhombus.
For the first question, the most specific name for the parallelogram defined by the coordinates E, F, G, and H is d) Square because the lengths of the sides and the diagonals are equal.
For the second question, the statement that would prove the parallelogram PWRS is a rhombus is d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2, as it shows that all sides of the parallelogram are congruent.
To determine the most specific name for the parallelogram defined by the given coordinates, we need to analyze the properties of the shape based on the lengths and slopes of its diagonals.
Let's analyze each option:
a) Rectangle: In a rectangle, opposite sides are parallel and equal in length.
Diagonals are also congruent.
To determine if the parallelogram is a rectangle, we need to find the lengths of the diagonals.
Using the distance formula, we find that the length of EF is approximately 4.47 units, while the length of GH is approximately 4.24 units.
Since the diagonals are not congruent, the parallelogram is not a rectangle.
b) Triangle: A triangle is a three-sided polygon, which is not applicable to the given parallelogram.
c) Rhombus: In a rhombus, all sides are congruent.
The diagonals of a rhombus are perpendicular bisectors of each other. To determine if the parallelogram is a rhombus, we need to compare the slopes of the diagonals.
The slope of EF is -3/2, while the slope of GH is -3/2.
Since the slopes are equal, and the lengths of the sides are not given, we cannot determine if the parallelogram is a rhombus solely based on the given information.
d) Square: A square is a special type of rectangle and rhombus, where all sides are congruent and all angles are right angles.
Since we cannot determine if the parallelogram is a rhombus, we cannot conclude that it is a square.
In conclusion, based on the given information, we cannot determine the most specific name for the parallelogram defined by the coordinates.
For the second question, to prove that the parallelogram PWRS is a rhombus, we would need to show that the lengths of the sides are congruent and that the diagonals are perpendicular bisectors of each other.
However, based on the given options, we do not have the required information to prove that PWRS is a rhombus.
For similar question on parallelogram.
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An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to care for each dog. Pat noticed the shelter spent $89.50 caring for cats and dogs on Wendesday.
A.) Define varaibles and write an equation to represent the possible number of cats and dogs that could have been at the shelter on wendesday.
Answers
Answer:
Equation: 2.35x+5.50=89.50
ANSWER FOR A.) 95.8
Step-by-step explanation:
A.) 2.35×8=18.8
5.50×14=77
18.8×77=95.8
Jake has $200 in his savings account. He works a part-time job and plans on depositing $40 per week into the savings account. Which inequality can be used to find w, the number of weeks after starting to deposit the money into his account, it will take Jake to have more than $1,000 in the account?
a 200 + 40w > 1,000
b 200w + 40 > 1,000
c 200w + 40 < 1.000
d 200 + 40w < 1,000
Answers
Compare values using <, >, or =
| - 8 | and | -3.5|
Answers
Answer:[-8]>[-3.5]
Step-by-step explanation:
either [-8] is the opposite or it is asking whole value. either way [-8] is bigger
At the end of October 2018 your balance is $74.25. Use your knowledge of rational numbers to summarize (tell a story) what happened to your account balance from the end of September to the end of October using a minimum of five transactions.
Answers
Answer:Wait, so the one asking this question is the man?
Step-by-step explanation:
if u are, go suck a bag of d^cks
I want to make sure im doing this right, if you could help it would be great
Answers
Answer:
84
Step-by-step explanation:
7(9+3) you multiply 7 to both numbers like this
63+21 and then you can simplify
84
If you need the other 3 done just comment on this question to tell me
Also please mark brainliest
Answer:
Step-by-step explanation:
1.84
2.32
3.30
4.88
1.
84 because PEMDAS(parenthesis/Exponents/Multiply/Divide/Add/Subtact) says you do parenthesis first. So you add 9 and 3 to get 12. The you do 12*7 to get 84.
help quickly please!! :(
Answers
A trip takes 4 hours to complete. The average rate of speed for the 1st hour is half the rate of the second hour. the second hour is twice the rate of the third and fourth hour. The average rate of change for the entire trip is 9 miles per hour. What was the average rate of speed for first hour of trip?
Answers
Answer:
cool
Step-by-step explanation:
What is 19/20 as a decimal? Explain how you got your answer.
Answers
Answer:
0.95
Step-by-step explanation:
To make a fraction an exact decimal, you will need to divide it. 19 will be the dividend, and 20 will be the divisor (so you get an accurate decimal)
So when you divide, you will get 0.95.
Answer: 0.95
Step-by-step explanation: It's important to understand that decimals represent fractions with denominators of 10, 100, 1,000, 10,000, etc...
In order to write 19/20 as a decimal, we need to find a fraction
equivalent to 19/20 with a 100 in the denominator.
Notice that if we multiply the numerator and the denominator
of 19/20 by 5, we get the equivalent fraction 95/100.
Since the hundredths place is two places to the right of the
decimal point, we can write 95/100 as 0.95.
So 19/20 is equivalent to 0.95.
Plz, Help ASAP!
Inequalities
Answers
Explanation:
There is already 20 bags and 35 bags are filled per hour. So 35 is the rate of change and 20 is the constant
35x+20 ≥1,000
-20 -20
35x ≥980
Divide both sides by 35 to isolate x
=28
Flip the sign because you divided
x≤28
Can anyone please help me with this? You need to find the equation to solve for x, the value of x, and the value of each angle measure for all 5 questions. I will give brainliest
Answers
Answer:
1. a) 3x + 21 = 6x - 60
b) x = 27
c) angle measure = 102º
2. a) 12x - 18 = 8x + 10
b) x = 7
c) angle measure = 66º
3. a) 7x + 9 + 5x + 3 = 180 (simplified: 12x + 12 = 180)
b) x = 14
c) 107º; 73º
4. a) 3x + 10 + 3x -28 = 180 (simplified: 6x -18 = 180)
b) x = 33
c) 109º; 71º
5. a) 12x + 15 = 15x
b) x = 5
c) 75º
Step-by-step explanation:
1. a) they're the same angle so set them equal to each other: 3x + 21 = 6x - 60
b) solve from the equation above
3x + 21 = 6x - 60 subtract 3x from both sides
21 = 3x - 60 add 60 to both sides
81 = 3x divide both sides by 3
x = 27
c) plug back into each equation (they should be the same, but do both just to check)
3(27) + 21 = 81 +21 = 102º
6(27) - 60 = 162 - 60 = 102º
2. a) again, they're the same angle measure so set them equal to each other: 12x - 18 = 8x + 10
b) solve the equation for x
12x - 18 = 8x + 10 subtract 8x from both sides
4x - 18 = 10 add 18 from both sides
4x = 28 divide both sides by 4
x = 7
c) plug back into each equation (they should be the same, but do both just to check)
12(7) - 18 = 84 - 18 = 66º
8(7) + 10 = 56 + 10 = 66º
3. a) the sum of the two angles is 180º so 7x + 9 + 5x + 3 = 180
if you want the equation simplified: 12x +12 = 180
b) solve for x, i will be using the simplified equation
12x + 12 = 180 subtract 12 from both sides
12x = 168 divide both sides by 12
x = 14
c) plug into each equation to get the two angle measures
7(14) + 9 = 98 + 9 = 107º
5(14) + 3 = 70 + 3 = 73º
4. a) the sum of the two angles is 180º so 3x + 10 + 3x -28 = 180
if you want it simplified: 6x -18 = 180
b) solve for x, i will be using the simplified equation
6x - 18 = 180 add 18 to both sides
6x = 198 divide both sides by 6
x = 33
c) plug into each equation to get the two angle measures
3(33) + 10 = 99 + 10 = 109º
3(33) - 28 = 99 - 28 = 71º
5. a) they're the same angle measure so set them equal to each other: 12x + 15 = 15x
b) solve for x with the equation above
12x + 15 = 15x subtract 12x from both sides
15 = 3x divide both sides by 3
x = 5
c) plug back into each equation (they should be the same, but do both just to check)
12(5) + 15 = 60 + 15 = 75º
15(5) = 75º
Please need help ASAP
Answers
△ABC ~ △DEF as shown in the diagram below:
Which of the following proportionality statements is correct?
Answers
Answer:
The right answer is C.
\( \frac{ac}{bc} = \frac{df}{ef} \)
Option C is correct, AC/BC=DF/FE represents proportionality relationship.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
△ABC ~ △DEF
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
ABC is a right angled triangle which have ninety degree at B
DEF is another right angled triangle with angle E is 90 degrees.
Proportionality means that as one quantity increases the other will also increase and the ratio of the quantities is the same for all values.
Among the options AC/BC=DF/FE represents proportionality relationship.
Hence, Option C is correct, AC/BC=DF/FE represents proportionality relationship.
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In the previous lesson, you created SMART goals for yourself to extend from the start of the semester to the end of the semester. This lesson introduced you to the various resources that are part of the course. How can these resources help you reach your goals?
Go back to your SMART goal chart from the previous lesson and alter one of the goals so that it incorporates the use of at least one resource.
Answers
Answer:
Improve your growth attitude, be more proactive, learn to understand yourself, be persistent despite hurdles, learn to accept your limits, learn how to make successful decisions, practice thankfulness, and stay open-minded to new opportunities are some of the ways that SMART goals can assist you.
Step-by-step explanation:
I've done this before :)
Sam deposits $1,000 into an account that pays 6% simple interest annually. He plans to take the money out after 3.5 years. What will the balance in his account be after 3.5 years? Help Please!
Answers
Answer:
$1,210
Step-by-step explanation:
6*3.5=21
1000*0.21=210
1000+210=1,210
Answer: $1,210
Hopes this helps please do as brainlist answer and have a good day.
The composite figure is made up of three simpler shapes. What is the area of the figure?
A. 80
B. 49
C. 68
D. 74
Answers
Answer: I’m pretty sure it’s 80
Step-by-step explanation:
Because the very top triangle is 4x3 which is 12 then the rectangle under it is 6x3 which is 18 then the triangle under that is 5x3 which is 15 and the triangle on the left is also 15 and the square in the middle is 4x5 which is 20 and add it all up 12+18+15+15+20=80 sry if that’s confusing.
Answer:
74 is the answer
Step-by-step explanation: You should find the area of each shape and add all the areas together to get the full area of the shape.
(base x height)+(length x breath)+(1/2 x base x height)
(10x5)+(6x3)+(1/2x3x4)
50+18+6
74 ← this is the full area of the shape
and, remember when finding the area of a triangle you should always multiply 1/2 too for example- ( 1/2 x base x height )
Which of these types of angles have the same measure after being rotated, reflected, or translated in a coordinate plane? Select all that apply.
Answers
9514 1404 393
Answer:
all of them
Step-by-step explanation:
Rotation, reflection, and translation are "rigid motions," so do not affect segment lengths or angles. Every angle type has the same measure after such a transformation.
pls help me with this math problem
Answers
Answer:
You can use this formula
A = 2 (wl + lh + hw)
to soslve that
Step-by-step explanation: