Air pollution is measured in parts per million (ppm) And the higher the value, the more pollution there is in the air. Stephen is completing research for his senior project and records the amount of pollution in the air each day for two weeks. His results are show and the higher the value, the more pollution there is in the air. Stephen is completing research for his senior project and records the amount of pollution in the air each day for two weeks. His results are show in this stem and leaf plot below.
Stem and leaf
0_5,7,9
1_2,2,6,7
2_0,4,8
3_1,2,5,9
A. Calculate the mean, median and mode of the data represented in the plot. Show and explain your work.
B. Another student created the box and whisker plot shown below incorrectly. Explain where the error exists and what the correct answer should be. (Picture included)
C. Describe which quartile has the largest range. Show or explain your work.
D. Describe why this statement is false.
“ 75% of the days had 20 or more parts per million of pollution.”
Correct Statement:____________
Answers
The mean of the data set is calculated to be 4.05, the median is 2, and there are two modes. The error in the box and whisker plot is that the lower whisker extends below the minimum value. The second quartile has the largest range, and the correct statement is that 75% of the days had 7 or more parts per million of pollution.
Explanation:A. To calculate the mean, median, and mode of the data, we first need to arrange the data in increasing order. The stem and leaf plot represents the following data: 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 5, 6, 7, 7, 8, 9, 9.
The mean can be calculated by summing up all the data points and dividing it by the total number of data points. In this case, we have 20 data points, so the sum is 81. The mean is then 81/20 = 4.05.
The median is the middle value of the data set when arranged in increasing order. In this case, the middle value is the 10th value, which is 2.
The mode is the value that appears most frequently in the data set. In this case, both 0 and 3 appear 5 times, so the data set has two modes.
B. The error in the box and whisker plot is that the lower whisker extends below the minimum value in the data set. The correct plot should have the lower whisker ending at the minimum value.
C. The quartile with the largest range is the second quartile, which is the median. The range of the second quartile is the difference between the maximum and minimum values in the data set.
D. The correct statement is: '75% of the days had 7 or more parts per million of pollution.' This statement is true because the 75th percentile corresponds to the value 7 in this data set.
Learn more about Calculating Mean, Median, Mode, Quartiles, and Box and Whisker Plot here:https://brainly.com/question/12082617
#SPJ12
Final answer:
The mean, median, and mode are statistical measures calculated from the given data points. For part B, we cannot provide corrections to the box and whisker plot without seeing it. The quartile with the largest range is determined by comparing quartile differences, and the statement about 75% of days with values ≥ 20 ppm is false because more than 25% of the values are below 20 ppm.
Explanation:
To calculate the mean, median and mode of Stephen's two-week air pollution data from the stem and leaf plot:
Convert the stem and leaf plot to a data set:
5, 7, 9, 12, 12, 16, 17, 20, 24, 28, 31, 32, 35, 39
Calculate the mean (average) by adding all the numbers together and dividing by the number of data points.
Find the median by ordering the data from least to greatest and finding the middle value (or the average of the two middle values if there is an even number of data points).
Determine the mode by identifying the value(s) that appear most frequently.
For part B, without the provided box and whisker plot, we cannot determine the error or provide the correct answer.
For part C, to identify which quartile has the largest range, we need to calculate the quartiles (Q1, Q2, Q3), and then compare the differences between them: Q1 to Q2, Q2 to Q3, and Q3 to the maximum value.
For part D, the statement “75% of the days had 20 or more parts per million of pollution” is false because:
Not all values are above 20 ppm. From the data, we can calculate that more than 25% of the values are below 20 ppm, thereby making the statement incorrect.
Correct Statement: Less than 75% of the days had 20 or more parts per million of pollution.
Related Questions
how do you write 5/5 as a percentage
Answers
5/5 and then convert this to 100. so, you would multiply it by 20 which would equal 100/100. it’s a whole number, so it’d just be 100%.
If f(x)=2(x)^2+5\sqrt((x+2)), complete the following statement
f(0)=
Answers
Answer: 5
Step-by-step explanation:
[tex]f(x)=2(x)^2+5\\\\f(0)=2(0)^2+5\\\\.\qquad =0+5\\\\.\qquad =5[/tex]
What is the cosine of angle D?
Answers
Cos(x)=20/25
X=cos-1(20/25)
=36.86989765
=B
Change the fraction 7/12 to a decimal. Round your answer to the nearest thousandth. A. .583 B. .600 C. 1.700 D. 1.714
Answers
Answer:
= 0.583
Step-by-step explanation:
Changing 7/12 as a decimal
we could use long method or convert to percentage
such that;
7/12 × 100 = 700/12
=58.333%
This is equivalent to; 58.333/100
= 0.58333 ; to the nearest thousandth
= 0.583
Answer:
The correct answer is option A. 0.583
Step-by-step explanation:
It is given a fraction 7/12. This fraction is a proper fraction.
proper fraction :- Numerator is less than denominator
We have to convert this fraction into decimal number.
we can convert all proper fractions into decimal.
Convert 7/12 into decimal
7/12 = 0.58333333...
It is a non terminating rec-curing decimal number.
Therefore we can write, 7/12 = 0.583
The correct answer is option A. 0.583
Factor completely
x^2 - 3x - 28
Answers
Answer:
(x-7) (x+4)
Step-by-step explanation:
x^2 - 3x - 28
What two numbers multiply to -28 and add to -3
-7*4 = -28
-7+4 = -3
(x-7) (x+4)
Answer:
on the top: -28
on the bottom: -3
on the sides: -7 and 4
(x-7)(x+4)
Step-by-step explanation:
A teacher had 54 pencils gave p pencils to each of his s students. How many pencils does he have left?
Answers
Answer:
[tex]54-(p*s)[/tex]
Step-by-step explanation:
we know that
To find out how many pencils the teacher has left, subtract the quantity of p*s from 54
so
[tex]54-(p*s)[/tex]
Answer:
54-(p times s)
Step-by-step explanation:
What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth, if necessary. units
Answers
Answer:
The perimeter of the trapezoid is [tex]38.25\ units[/tex]
Step-by-step explanation:
we know that
The perimeter of the trapezoid is the sum of its four side lengths
so
In this problem
[tex]P=QR+RS+ST+QT[/tex]
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]Q(8, 8), R(14, 16), S(20, 16),T(22, 8)[/tex]
step 1
Find the distance QR
[tex]Q(8, 8), R(14, 16)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(16-8)^{2}+(14-8)^{2}}[/tex]
[tex]d=\sqrt{(8)^{2}+(6)^{2}}[/tex]
[tex]d=\sqrt{100}[/tex]
[tex]QR=10\ units[/tex]
step 2
Find the distance RS
[tex]R(14, 16), S(20, 16)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(16-16)^{2}+(20-14)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(6)^{2}}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]RS=6\ units[/tex]
step 3
Find the distance ST
[tex]S(20, 16),T(22, 8)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(8-16)^{2}+(22-20)^{2}}[/tex]
[tex]d=\sqrt{(-8)^{2}+(2)^{2}}[/tex]
[tex]d=\sqrt{68}[/tex]
[tex]ST=8.25\ units[/tex]
step 4
Find the distance QT
[tex]Q(8, 8),T(22, 8)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(8-8)^{2}+(22-8)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(14)^{2}}[/tex]
[tex]d=\sqrt{196}[/tex]
[tex]QT=14\ units[/tex]
step 5
Find the perimeter
[tex]P=10+6+8.25+14=38.25\ units[/tex]
Plz help me !!!!!!!!!!
Answers
Answer: a) 27
Step-by-step explanation:
[tex]81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}}=3^{\frac{12}{4}}=3^3=\boxed{27}[/tex]
What is the equation in standard form of the line which passes through (-2, 6) and has a slope of -1?
Answers
Answer:
x + y = 4
Step-by-step explanation:
To write the equation of the line use the point slope form. Then convert to the standard from. Begin by substituting m = -1 and (-2,6).
[tex]y - y_1 = m(x-x_1)\\y - 6 = -1(x --2)\\y - 6 = -1(x+2)\\y - 6 = -x -2\\x + y - 6 = -2\\x + y = 4[/tex]
What is the length of the segment with endpoints A(1,7) and B(-3, -1)?
Answers
Answer:
[tex]d = \sqrt{80} = 8.94[/tex]
Step-by-step explanation:
We can find the distance using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We then substitute (1,7) as [tex](x_1,y_1)[/tex] and (-3,-1) as [tex](x_2,y_2)[/tex].
[tex]d=\sqrt{(-3-1)^2+(-1-7)^2} \\d=\sqrt{(-4)^2+(-8)^2} \\d=\sqrt{16+64}\\d=\sqrt{80}=8.94[/tex]
Answer with Step-by-step explanation:
The length of the line segments with end point (a,b) and (c,d) is:
[tex]\sqrt{(a-c)^2+(b-d)^2}[/tex]
Here, we have to find the length of the segment with endpoints A(1,7) and B(-3, -1)
i.e. (a,b)=(1,7)
and (c,d)=(-3,-1)
Length= [tex]\sqrt{(1+3)^2+(7+1)^2}[/tex]
= [tex]\sqrt{4^2+8^2}[/tex]
= [tex]\sqrt{16+64}[/tex]
= [tex]\sqrt{80}[/tex]
Hence, Length of line segment is:
[tex]\sqrt{80}[/tex] or [tex]4\sqrt{5}[/tex]
Convert 100 km/h to mph. Use 10 miles = 16 kilometers.
Answers
Here's how you solve this problem.
1) find how many kilometers equals 1 mile (16/10=1.6).
2) Divide 100 (from 100 km/h) by 1.6 (1.6×100=62.5).
3) solve for mph.
The answer is 62.5mph.
Which expression helps you find the length of X of a side of a rectangle that has a diagonal of 15 units and a width of nine units
Answers
Answer:
12 units
Step-by-step explanation:
by the pythagorean relation,
x^2 + 9^2 = 15^2
x^2 + 81 = 225
x^2 = 144
x = 12 units
Answer:
x^2 = 15^2 – 9^2
Step-by-step explanation:
The value of 5 is plotted on the number line below plot another point on the number line that is 10 units away from 5
Answers
On a number line, a point that is 10 units away from 5 can be either 15 (if you move right) or -5 (if you move left). Both these points are 10 units away from 5.
Explanation:In mathematics, if the value 5 is plotted on the number line, you can plot another point that is 10 units away from 5 by moving 10 places towards either the right or left on the number line. If you move to the right, 10 places ahead of 5 is 15. So, you can plot a point on 15. On the other hand, if you move to the left, 10 places behind 5 is -5. So, you can plot a point at -5. Either of these points (15 or -5) are 10 units away from 5.
Learn more about Number line here:https://brainly.com/question/32029748
#SPJ2
A tangent to the curve y=6x-x² cuts the x axis at point P. Find the coordinates of P. Help me calc the coordinates please
Answers
We know that the line is tangent at the point (2,8)
The derivative of the function at x=2 is
[tex]f'(x) = 6-2x \implies f'(2) = 6-4=2[/tex]
So, the tangent line passes through the point (2,8) and has slope 2. The equation is
[tex]y-8 = 2(x-2) \iff y = 2x+4[/tex]
This line crosses the x axis where y=0:
[tex]0 = 2x+4 \iff 2x = -4 \iff x = -2[/tex]
The coordinates of point P where the tangent to the curve y=6x-x² cuts the X-axis can be found by finding the x-value when the derivative of the curve is equal to zero. In this case, the x-coordinate of point P is 3, so the coordinates of point P are (3, 0).
Explanation:In this question, we are asked to find the coordinates of point P on the X-axis where a tangent to the curve y=6x-x² cuts the X-axis. The equation of the curve is given as y = 6x - x². A tangent line to the curve intersects it at exactly one point. The equation of this tangent line can be written in slope intercept form y = mx + b. When the tangent line cuts the X-axis, y=0.
The first step is taking the derivative of the curve, which gives us the slope of the tangent line. The derivative of y = 6x - x² is y' = 6 - 2x. This gives us the slope of the tangent line.
The second step is finding the x-coordinate of point P where the tangent line intersects the X-axis. This is where the y-coordinate is zero, or when y = 6x - x² is equal to zero. Solving for x, we get x = 0 or x = 6. However, because the curve y = 6x - x² intersects the X-axis at the x-coordinate of 0 and 6, the x-coordinate of point P must be a different value.
The final step is to solve for the x-coordinate when y' = 0, or when 6 - 2x = 0. Solving this equation gives us x = 3. So, the tangent line will cut the X-axis at point P(3, 0).
Learn more about Tangent Line Cutting X-axis here:https://brainly.com/question/29118858
#SPJ2
Complete the equation to represent each relationship. Then solve the equation. Drag and drop each term or number into the correct box to complete the equation and solve for x.
Twenty-eight less than 7 times a number is the same as 20 more than the number.
( "[ ]" Means empty space)
(Here are the numbers: 7, 8, x, 7x, 28, 20, -8)
The equation is [ ] - [ ] = [ ] + [ ].
The solution is: x = [ ]
Answers
28 less means subtract 28
7 times a number means7x
is means equals
20 more than a number means x +20
the equation is 7x-28 =x+20
to solve combine like terms
7x-x=20+28
6x=48 divide by 6 on both sides to isolate x
x=8
Answer: 28
Step-by-step explanation:
Yes
find the measures of angle b
Answers
Answer:
142
Step-by-step explanation:
The line underneath the straight angle is a straight line, meaning it is 180 degrees. 180-38= 142
A straight line is 180 degrees.
180-38=142
142 degrees is the answer.
Find the area and perimeter of triangle ABF with F(-3,0), A(1,3), and B(7,-5)
Answers
Answer:
Step-by-step explanation:
The area would be 25 square centimeter
what is the measure of an angle, if three subtracted from twice the supplement and the result is 297 degrees?
Answers
Answer:
303
Step-by-step explanation:
I believe this is correct but I need to know the supplement.
A ___compares the two numbers by division
Answers
Answer:
Ratio
Step-by-step explanation:
A ratio is a comparison of two numbers by division.
A ratio is a comparison of two numbers by division. It compares two quantities measured in the same units.
Ratios compare two quantities measured in the same units. Ratios have no units. They are expressed as a fraction in simplest form.
A ratio compares two numbers by division. In scientific notation, you divide the numbers out front and subtract the exponents. For the logarithm of a number resulting from division, the difference between the logarithms of two numbers is calculated.
Explanation:A ratio is what compares two numbers by division. It's a way of comparing or relating one amount to another. For example, if we have 10 apples and 5 oranges, the ratio of apples to oranges is 10 to 5, which can also be expressed through division as 10/5 (which simplifies to 2).
In cases involving scientific notation, division can be handled by performing the division upfront and then subtracting the exponents. When working with the logarithm of a number resulting from division, the result would be the difference between the logarithms of the two original numbers.
Consider the following scientific notation division example: given 106 and 103, you would first divide the 'numbers out front', in this case, 1 divided by 1 equals 1. Then you subtract the exponents, 6 minus 3, which equals 3. Thus, 106 divided by 103 equals 103.
Learn more about Ratio here:https://brainly.com/question/32531170
#SPJ3
What is the sum of the series?
Answers
Answer:
44
Step-by-step explanation:
substitute k = 1, 2, 3, 4 into 2k² - 4 and sum the terms
k = 1 : 2(1)² - 4 = 2 - 4 = - 2
k = 2 : 2(2)² - 4 = 8 - 4 = 4
k = 3 : 2(3)² - 4 = 18 - 4 = 14
k = 4 : 2(4)² - 4 = 32 - 4 = 28
sum = - 2 + 4 + 14 + 28 = 44
Heya!
--------------------
Things to know before we solve:
The "4" at the top means that the the sequence only goes to the 4th term.
k = 1 represents that the sequence starts with the 1st term.
(2k² - 4) represents the rule of the sequence, we can substitute 1, 2, 3, and 4 to solve for the terms of the sequence.
--------------------
Solving for each term:
1st term:
2(1)² - 4
2(1) - 4
2 - 4
-2
2nd term:
2(2)² - 4
2(4) - 4
8 - 4
4
3rd term:
2(3)² - 4
2(9) - 4
18 - 4
14
4th term:
2(4)² - 4
2(16) - 4
32 - 4
28
--------------------
Simplifying:
Write these terms in expanded form:
(-2) + 4 + 14 + 28
Find the sum of the series:
(-2) + 4 + 14 + 28 = 44
--------------------
Answer:
The sum of the series is 44
--------------------
Best of Luck!
I have a cucumber that is 3 inches long and another cucumber that is 5 inches long. If I cut the cucumbers into 3/8 in.thick slices how many slices will I have ?
Answers
Final answer:
You will have 8 slices from the 3-inch cucumber and 13 slices from the 5-inch cucumber.
Explanation:
To determine the number of slices you will have, you need to divide the length of each cucumber by the thickness of the slices. Let's start with the 3-inch cucumber:
3 inches / (3/8 inches) = 8 slices
Now let's calculate the slices for the 5-inch cucumber:
5 inches / (3/8 inches) = 13.33 slices
Since you cannot have a fraction of a slice, round down to the nearest whole number. Therefore, you will have 8 slices from the 3-inch cucumber and 13 slices from the 5-inch cucumber.
If the formula in the picture below were used to find the r-value of the following data, what would be the value of ¥?
Answers
Answer:
option C
ȳ = 9
Step-by-step explanation:
ȳ (yBar) is used to represent mean value of y
Mean, which is the average score of the population on a given variable
It is represented by = ( Σ Xi ) / N
There are two steps to calculate mean value
Add the numberssum of all numbers = 3 + 7 + 8 + 11 + 16
= 45
2. Divide by how number of ys (there are 5 numbers)
45 / 5 = 9
So ȳ = 9
In a survey, 250 adults and children were asked whether they know how to
swim. The survey data are shown in the relative frequency table.
What percentage of the people surveyed cannot swim?
Answers
Answer:
Step-by-step explanation:
B because .06 + .12 = .18 which is 18% out of 250 people
Hello, I'm Eric. I'll be trying my best to assist you on your question today.
0.12 is 12 percent.
We also have the 0.06 percent which would just be 6 percent
We need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.
Our final answer is D.
Not the right answer or confused? Reply to this question for help.
Enjoy your day - Eric
Machine A can fill a bucket from a pipe in 4 minutes. However, Machine B can empty the bucket in 6 minutes. Starting from empty, if the Machines are going at the same time, how long will it take to fill the tank?
Is it 12mins
Answers
Answer:
12 minutes
Step-by-step explanation:
if it fills up in 4 minutes but empties in 6 minutes, that means there's a two minute gap of water sitting - meaning it would multiple attempts to get the bucket filled - taking 12 minutes to be exact - hope this helps!!
Is it 12 minutes good job
geometry math problem
Answers
Answer:
y=1/6x+3
the slope has to be negative reciprocal and it passes though (6,4)
The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00am and 12:30pm, with a dept of 2.5 m, while high tides occur at 6:15am and 6:45pm, with a depth of 5.5 m. Let t=0 be 12:00 am. Which periodic function, since or cosine would be simpler model for the situation?
Answers
A cosine function is simpler to model the situation of the changing tides because it starts at an extremum, aligning with the low tide occurring at t=0 (12:00 am). By calculating the amplitude, midline, and period, we can construct an approximate model for the tidal heights using a cosine function without a phase shift.
The phenomenon of tidal movements can be modeled through periodic functions, such as sine or cosine functions, which are suitable for representing recurring events over time.
In this scenario, since the low tide occurs at t=0 (12:00 am) and reaches the same low tide level at t=12.5 (12:30 pm), a cosine function would be more appropriate as it inherently starts at a maximum or minimum value.
On the other hand, a sine function starts from the middle of its range, making it necessary to introduce a phase shift in the function for accurate modeling of the tides in this case.
A simple cosine model for the tidal heights would look like: Depth(t) = A * cos(B * (t - C)) + D, where A represents the amplitude, B is related to the period of the tide cycle, C is the phase shift (in this model C would be zero), and D adjusts the midline to fit the average between high and low tides.
Considering the given data:
Amplitude (A): (High tide depth - Low tide depth) / 2 = (5.5m - 2.5m) / 2 = 1.5m
Midline (D): (High tide depth + Low tide depth) / 2 = (5.5m + 2.5m) / 2 = 4m
Period (Related to B): Since there are two high and two low tides every 24 hours, the period would be 12 hours. We would then find B by using the formula 2 * pi / period, yielding B = 2 * pi / 12.
So, the model would be approximately Depth(t) = 1.5 * cos((pi / 6) * t) + 4, accurately reflecting the transition from low to high tides and back over a 12-hour cycle.
Answer:
A cosine function would be a simpler model for the situation.
The minimum depth (low tide) occurs at t = 0. A reflection of the cosine curve also has a minimum at t = 0.
A sine model would require a phase shift, while a cosine model does not.
PLEASE HELP ASAP !! TANGENT RATIO
Answers
I will help if u help me pls
QUESTION 1
The tangent ratio is the ratio of the length of the opposite side to the length of the adjacent side.
[tex] \tan(M) = \frac{LN}{NM} [/tex]
[tex] \tan(M) = \frac{8}{6} = \frac{4}{3} [/tex]
QUESTION 2.
We again use the tangent ratio to find angle S.
[tex] \tan(S) = \frac{TU}{SU} [/tex]
[tex]\tan(S) = \frac{0.75}{3.5} [/tex]
[tex]\tan(S) = \frac{3}{14} [/tex]
[tex]S = { \tan}^{ - 1} ( \frac{3}{14} )[/tex]
[tex]S = 12.09 \degree[/tex]
to the nearest hundredth.
QUESTION 3
We can find CE using the tangent ratio.
[tex] \tan(27 \degree) = \frac{18}{CE} [/tex]
[tex]CE = \frac{18}{ \tan(27 \degree) } [/tex]
[tex]CE = 35.3 \degree[/tex]
to the nearest 0.1.
A farmer has a section of a field that measures 4×10^3 feet by 5×10^5 feet planted with carrots. Another section is planted with corn measuring 6×10^4 feet by 3×10^4 feet.
Part A: What is the area of the carrot section? Show work.
Part B: What is the area of the corn section? Show work.
Part C: How much larger is the area of the carrot section than the corn section. Show work.
Answers
Answer:
Part A. = 2,000,000,000
Step-by-step explanation:
To find the first measurements solve the equation.
10^3 = 1,000
So now 1,000 multiplied by 4
4 x 1,000 = 4,000
for the second side or measurement solve again.
10^5 = 100,000
5 x 100,000 = 500, 000
with both measurements 4,000 and 500,000 to find area we need to multiply both sides
4,000 x 500,000 = 2,000,000,000
See if you can solve the other one, if you can't I'll help!
Hope this helps!
Please mark as brainliest answer!! THanks!!
Add 9 to me, then multiply by 3. If you subtract 16 and then add 7, you get 27. What number am I?
Answers
The number obtained when it is added with 9, multiplied by 3, subtracted by 16 and then added with 7 is 3.
Suppose the number is x
An addition of 9 to x = 9+x
Multiplication of 9+x and 3 = 3(9+x)
According to the question
3(9+x)-16+7 = 27
By solving the above equation we will get x
What is an equation?An equation is a statement that equates to two expressions.
So, 3(9+x) = 36
9+x=12
x=3
So, the number is x=3
Thus, the required number that satisfies the question is 3.
To get more about equations visit:
https://brainly.com/question/14323743
Use the properties of equality to find the value of x in this equation.
4(6x – 9.5) = 46
Answers
Answer:
X = 3.5
Step-by-step explanation:
First, we distribute the 4 inside of the parentheses.
4 * 6x = 24x
4 * -9.5 = -38
We now have 24x -38 = 46
Now, we will add 38 to each side to isolate the x.
24x - 38 = 46
+38 +38
We now have 24x = 84
Finally, we will divide each side by 24 to find out what x equals.
24x = 84
— —
24 24
We now have x = 3.5
So, our answer is x = 3.5
I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
X = 3.5
Step-by-step explanation:
First, we distribute the 4 inside of the parentheses.
4 * 6x = 24x
4 * -9.5 = -38
We now have 24x -38 = 46
Now, we will add 38 to each side to isolate the x.
24x - 38 = 46
+38 +38
We now have 24x = 84
Finally, we will divide each side by 24 to find out what x equals.
24x = 84
— —
24 24
We now have x = 3.5
So, our answer is x = 3.5