These figures are similar. The area of one is given. Find the area of the other.
15in and 21in
Area=196in^2
Answers
Answer:
100
Step-by-step explanation:
The ratio of the area is the square of the ratio of the length of the sides.
ratio of lengths of sides: 15/21 = 5/7
ratio of areas: (5/7)² = 25/49
196 in.² × 25/49 = 100 in.²
Related Questions
which analysis technique simulates a model's outcome many times to provide a statistical distribution of the calculated results?
Answers
The answer is that the Monte Carlo analysis simulates a model’s outcome many times to provide a statistical distribution of the calculated results.
Now, what is Monte Carlo analysis technique?
Monte Carlo Analysis is a risk management technique used to conduct a quantitative analysis of risks.
This mathematical technique is used to analyze the impact of risks on your project — in other words, if this risk occurs, how will it affect the schedule or the cost of the project?
So, Monte Carlo Analysis gives you a range of possible outcomes and probabilities to allow you to consider the likelihood of different scenarios.
For example, let’s say you don’t know how long your project will take. You have a rough estimate of the duration of each project task. Using this, you develop a best-case scenario (optimistic) and worst-case scenario (pessimistic) duration for each task.
You can then use Monte Carlo to analyze all the potential combinations and give you probabilities of when the project will complete.
Other major benefits of this technique is -
1. It Provides early indication of how likely you are to meet project targets.
2. Can be used to create a more real budget and schedule.
3. Predicts the likelihood of schedule .
4. Gives quantitative measure of risks to assess impacts
5. Provides objective data for decision making.
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Solve a triangle proof
Answers
the triangle of the given figures are congruent and ∠1 = ∠2.
What is congruent by SAS?
The side-Angle-Side congruence rule is referred to as ASA. Two triangles are said to be congruent according to this rule if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle. See if the two triangles given, ABC and XYZ, are congruent according to the ASA rule by looking at the image provided below. According to the ASA congruence rule, two triangles are said to be congruent if two of their respective sides and angles are equal to those of two other triangles and their respective sides and angles, respectively.
In the triangle ΔABD and ΔAED
Here AD is a common side
AB = AE
BC = EC
So both triangles are congruent.
So we can have ∠1 = ∠2
Hence, the triangle of the given figures are congruent and ∠1 = ∠2.
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Work out:
(1.2 × 10′²) × (2 × 10ª)/3 x 10-5
Give your answer in standard
form.
Answers
The standard form of the expression is [tex]0.000286 \times 10^a[/tex].
What is a standard form?
A standard form is a document that contains predetermined information in a specific format, such as a contract or agreement. Standard forms are often used to ensure uniformity and efficiency among different parties. Standard forms may include a variety of information, including contact details, payment information, and other important details related to a transaction. By utilizing a standard form, individuals and organizations are able to save time and effort when completing administrative tasks. Standard forms can also be used to ensure that all parties involved in a transaction are aware of the terms and conditions.
The given expression is
[tex]=(1.2 \times 10^2) \times \frac{(2 \times 10^a)}{3} \times 10^{-5}\\\\=129 \times\frac{2}{3}\times\frac{10^a}{3}\times0.00001\\\\=0.000286 \times 10^a[/tex]
Hence, the standard form of the expression is [tex]0.000286 \times 10^a[/tex].
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Kiera's lemon cookie recipe calls for 5 cups of sugar. How much sugar would Kiera use to make 3 5/8 batches of cookies?
Answers
Answer:18 1/8
Step-by-step explanation:
5x3=15
5x5/8=25/8=3 1/8
15+3 1/8=18 1/8
is it possible for the results of a study to show a non-zero correlation, even though the correlation for the general population is zero?
Answers
True, is it possible for the results of a study to show a non-zero correlation, even though the correlation for the general population is zero.
When a correlation is statistically significant, it is a significant and strong correlation. Even a very slight association can be statistically significant with a very large sample size.
While the correlation for the entire population is zero, it is nevertheless feasible for a sample to have a true, non-zero correlation.
When there is no association in a correlational analysis, what happens?
The variables fluctuate in opposite directions when there is a negative correlation. There is no association between the variables if there is zero correlation.
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Triangle A'B'C' is a reflection of triangle ABC across line BC. Prove that ray BC is the angle bisector of angle ABA'.
Answers
Proof of ray BC is the angle bisector of angle ABA' is given.
What are angle bisectors?Angle bisectors are lines that cut across the angle under consideration. The term "bisect" means to divide into two equal portions. The considered angle is therefore divided in half by the bisected halves.
A graph will move exactly to the other side of an axis, such as the x-axis, as if it were a mirror when it is reflected along that axis.
Because it is symmetrical, each point is as far from the axis of reflection as its mirror counterpart.
Triangle A'B'C' is a mirror of triangle ABC over line BC, as shown by the provided issue.
Therefore, <A'B'C' = <ABC
by virtue of congruent triangles' characteristics. Means that if the sides' lengths are equal, the angles' measures are equal, and they may be overlaid.
Therefore, the ray BC is the angle, bisector of angle ABA'.
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Lian gives his friend Patti a lottery ticket for her birthday. The ticket cost Lian $2, and the back of
the ticket says, "The overall odds of winning a prize with this ticket are 1: 50, and the expected
return for this ticket is $0.89."
Lian says, "If 1,000 people each bought one of these tickets, they'd have spent $2,000 in total
and get back about $890"
Patti says, "The probability that one of these tickets wins a prize is 0.89, on average."
Answers
Answer: Lian is correct.
Step-by-step explanation:
He is correct because he is one person and ticket cost him 2 dollars.
So by doing simple multiplication we multiply both variables by 1,000 to get 1,000 people spend 2,000 dollars.
Answer:
Lian is correct
Step-by-step explanation:
Khan Academy
100 POINTS IF YOU CAN ANSWER THIS
Which of the following number of selected people having received a ticket would constitute an unusual event?
A. 4
B. 5
C. 1
D. 2
Answers
Answer: B
Step-by-step explanation:
Answer: The answer is D. 2 | 0.25
Step-by-step explanation:
I don't really have a good explanation, but I hope it helps!
Which system of inequalities is shown?
Answers
The equations of inequalities are y < 4 and y > x.
What is inequality?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
The line of the graph is not solid. The lines of the graph is dotted. Thus the inequality sign will be less than or greater than.
One graph line is parallel to x-axis and it intersect y axis at (0,4).
The equation of the line that is parallel to x-axis and it intersect y axis at (0,a), then the equation of the line is y = a
The equation of the line parallel to x-axis is y = 4.
The equation of line that passes through origin is y = mx
The line passes through the point (1,1).
Putting x = 1 and y = 1 in y = mx:
1 = m
Therefore the equations of lines are y = x and y = 4
The inequality will be y < x or y > x for the line y = x.
The inequality will be y < 4 or y > 4 for the line y = 4.
(-2,0) is a point on the shaded area.
Putting x = -2 and y = 0 in y > x
0 > -2 true.
The inequality is y > x
Putting x = -2 and y = 0 in y < 4
0 < 4 true.
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paige spends 1 hour on her homework she spends equal amount of time on all subjects, if paige spends 1/2 on spanish how much hours does she study
Answers
The number of subjects that Paige would study D. 2 subjects.
How to calculate the number of subject studiedIt should be noted that Paige would study for one hour. She spends 1/2 an hour, or 30 minutes, on a subject.
An hour is 60 minutes. If Paige studied 2 subjects, then she would of studied for 60 minutes.
30 + 30 = 60
So, if Paige spends 1/2 hour on Spanish, she would study 2 subjects to reach an hour.
Therefore, the correct option is D.
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Complete question
Paige spends 1 hour on her homework. She spends equal amounts of time on all subjects. If Paige spends 1/2 hour on Spanish, how many subjects does she study?
3 subjects
1 subject
4 subjects
2 subjects
Can someone pls help me with this
Answers
The Rule is [tex]2^x[/tex].
The type of function is exponential.
Formula is [tex]y=2^x[/tex].
What does exponential function mean?
A mathematical function of the following format is an exponential function:
[tex]f(x)=a^x[/tex], where a is a constant which is also called the base of the function and x is a variable.
The information we can get from the given table is
when x=-2, y= 1/4=[tex]2^{-2}[/tex]
when x=-1, y=1/2=[tex]2^{-1}[/tex]
when x=-0, y=1=[tex]2^0[/tex]
when x=1, y=2=[tex]2^1[/tex]
when x=2, y=4=[tex]2^2[/tex]
when x=3, y=8=[tex]2^3[/tex]
By observing all the points, we know that [tex]y=2^x[/tex].
Therefore the rule for the table is [tex]f(x)=2^x[/tex].
The Formula for the given table is [tex]y=2^x[/tex].
The type of function is exponential.
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For spring break this year your family decided to visit Michigan, but it snows the first weekend you are there. You decide to make a snowman. If the bottom ball is 3 feet across, the middle ball is 2 feet across, and the top is 1 foot across, how much snow is needed to build the whole snowman? Round your answer to the nearest cubic foot.
Answers
The snow is needed to build the whole snowman is 19 cubic foot. Hence option A is the correct option.
What is a sphere?
The collection of points in three dimensions that are all the same distance from the center (the radius) or the outcome of rotating a circle around one of its diameters. A sphere's parts and characteristics are comparable to those of a circle.
Given that the diameter of the bottom ball is 3 feet, the diameter of middle ball is 2 feet, and the diameter of the top ball 1.
The radius of a sphere is the half of its diameter.
The radius of the bottom ball is 3/2 feet =1.5 feet
The radius of the middle ball is 2/2 feet = 1 feet.
The radius of the top ball is 1/2 feet = 0.5 feet.
The volume of a sphere is 4/3 × ∏r³.
The volume of bottom ball is 4/3 × ∏ × (1.5)³ cubic foot.
The volume of middle ball is 4/3 × ∏ × (1)³ cubic foot.
The volume of middle ball is 4/3 × ∏ × (0.5)³ cubic foot.
The total amount of snow is
4/3 × ∏ × (1.5)³ + 4/3 × ∏ × (1)³ + 4/3 × ∏ × (0.5)³
= 4/3 × ∏ [1.5³ +1³ + 0.5³ ]
= 4/3 × ∏× 4.5
= 18.84
≈ 19 cubic foot
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Point C is 3/4 of the way from point A(−4, −2) to point B(8, 6). What are the coordinates of C?
Answers
The coordinates of C are (8/7, 10/7) if point A is (-4, -2) and point B is
(8, 6)
What is section formula?The section formula aids in finding a point's coordinates so that the line connecting two points can be divided in a ratio. This involves both internal and external activities. P (x, y) = (c, m, plus a, plus n, plus d, plus b, plus n). The Section formula is used to determine the ratio by which a line segment is divided by a point either internally or externally in coordinate geometry. It is used to identify a triangle's centroid, incenter, and excenter. Physics uses this technique to determine equilibrium points, the centers of mass of systems, and other things.
A(-4, -2), B(8, 6)
m:n=3:4
((3(8)+4(-4))/(3+4) , ((3(6)+4(-2))/(3+4))
=((24-16)/7, (18-8)/7)
=(8/7, 10/7)
Therefore, the coordinates of C are (8/7, 10/7)
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What is the slope of y = − 5 + 4x
Answers
pls help due tommaorw
(i also have other unanswered questions posted)
Answers
40 PTS
TWO PART QUESTION NEED! :)))
You decide to invest $500 into a 4-year CD that pays 2.85% interest
compounded monthly.
Use the compound interest formula:A = P(1 + r/n) ^nt to give:
Part a. The future value in 4 years.
Part b. The interest gained in 4 years.
Answers
The future value of investment is $560.30, and interest gained in 4 years is 136.8%
What is compound interest?The interest regarding loan or investment that increases exponentially with respect to time is called compound interest.
Why is compound interest used?We use compound interest so as to enhance our investment in a large scale.
Given, Amount invested, P= $500
compound interest rate, r= 2.85%
number of time period, t = 4 years
number of times interest applied per time period, n =12 (as interest compound monthly)
Final amount, A
we used compound interest formula, A= P(1+r/n)∧nt
A= 500(1+0.0285/12) ∧12×4
Final amount, A= $560.30
The future value = $560.30
Interested gained in 4 years with compound monthly =2.85x12x4 =136.8%
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Look at the triangles shown below.
5
Which statement is TRUE?
Answers
Answer: B
Step-by-step explanation:
vertical angles are =
a number increased by 4 is 12
Answers
Answer: x=8
Step-by-step explanation:
This would be your equation:
x+4=12
Solve.
x=12-4
x=8
Explanation: 12-4=8
Write a rule for the glide reflection that maps ABC with vertices A(-4,-2), B(-2, 6).
and C(4, 4) to A'B'C' with vertices A'(4, -2), B(6, -6), and C'(12,-4).
Answers
The glide reflection that maps ABC to A'B'C' is given as follows:
Reflection over the line y = x - 9.Translation right 8 units.What is a glide reflection?The glide reflection is a combination of a reflection with a translation.
The line of reflection passes through the midpoint of a pair of vertices, being perpendicular to the vertex.
The midpoint of segment A'B' is given as follows:
x = (4 + 6)/2 = 5.y = (-2 - 6)/2 = -4.The slope of this segment is given as follows:
m = (-6 - (-2))/(6 - 4) = -1.
Then the slope of the reflection line is of:
m = 1.
(as the reflection line is perpendicular to the segment, meaning that the multiplication of their slopes is of -1).
Then:
y = x + b.
When x = 5, y = -4, then the intercept b is calculated as follows:
-4 = 5 + b
b = -9.
Thus the reflection line is of:
y = x - 9.
Then the translation is given subtracting the coordinates of one of the vertices, as follows:
4 - (-4) = 4 + 4 = 8 units right.-2 - (-2) = -2 + 2 = 0 units vertically.More can be learned about glide reflections at https://brainly.com/question/5612016
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90°
bº
aº
110°
what is the value of a+b?
Answers
The value of a+b is 67.5+52.2=120.1 degree.
Which is the value of B?
The middle number, the one immediately following the x, is the b-value. A and C are also numerals, much as the letter B. These can all have any number. They all work together to show you how the quadratic function will be graphed. If you haven't used your y = mx + b equation in a while, dust it off and use the three values you were given for x, y, and m to solve for the b-value, which is the value of the y-intercept. The equation is then solved for the last variable: b, the y-value intercept's.
[tex]\begin{aligned}& 360-90=270 \\& 270-2=135 \\& 180-135=45 \\& \frac{45}{2}=22.5 \\& 90-22.5=67.5 \\& b=67.5^{\circ}\end{aligned}[/tex]
90 *67.8+a 110 =360
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Determine which of the lines, if any, are parallel or perpendicular. Explain.
Line A: 4x-3y=2
Line B: y=4/3x+2
Line C: 4y+3x=4
Answers
Answer:
Line A parallel
Line B perpendicular
Line C parallel
the economic policy institute periodically issues reports on worker's wags. the institute reported that mean wags for male college graduates were $37.39 per hour and for female college graduates were $27.83 per hour in 2020. assume the standard deviation for male graduates is $4.60, and for female graduates it is $4.10. (12 points) what is the probability that a sample of 50 male graduates will provide a sample mean within $1.00 of the population mean, $37.97? what is the probability that a sample of 50 female graduates will provide a sample mean within $1.00 of the population mean $27.83? in which of the preceding two cases, part (a) or part (b), do we have a higher probability of obtaining a sample estimate within $1.00 of the population mean? why? what is the probability that a sample of 120 female graduates will provide a sample mean more than $0.60 below the population mean, 27.83?
Answers
The probability that a sample of 120 female graduates will = 0.8905
what is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
= |y -µ| ≥ 0.60
z = y -µ /σ√n
= 0.60/4.10√120
= 0.60/0.3742770
=1.60
Pr ( y -µy) ≤ 0.60 = P |z|≤1.60
=P ( -1.60≤ Z≤ -1.60)
=P (Z ≤ 1.60) -P ( Z≤ -1.60)
= 0.9452 - 0.0547 using z table
= 0.8905
Female graduates
mean = 27.83
sd = 4.10
sample = 120
µx = 27.83
σx = σ/√n
= 4.10/√120
a) P (X bar > 27.83)
= P (X bar -µx)/ σx > 27.83-27.83/4.10/√120
= P ( z > -1.60)
= 0.9452
For men
Mean=µ=37.39
Sd=σ=4.60 ,n=50
Probability that sample mean within $1.00 of the population mean
u-1=37.39-1=36.39
u+1=37.39+1=38.39
P = (36.39 <X bar < 38.39)
= P [tex]\frac{36.39-37.39 }{4.60/\sqrt{60} } < \frac{X bar - µ}{σ/\sqrt{n} } < \frac{39.39-37.39}{4.60/\sqrt{60} }[/tex]
= P ( -1.6839 < Z <1.6839
= P ( -1.68 < Z <1.68)
= P (Z < 1.68) - P(Z < -1.68)
= 0.9535- 0.0465
= 0.9070
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A college student is deciding how many hours to work at a part time job(x) and how many hours to work at an internship (y). The job pays $24 and hour, and the internship pays $12 an hour. The student needs to work less than 15 hours a week but needs to earn at least $240 a week to pay expenses. Write 2 systems of inequalities to represent all the combinations of number of hours the student can work at the job and internship
Answers
Answer:
x + y < 152x + y ≥ 20-------------------------------
Total hours worked is x + y.
Earning from the part time job is 24x, from the internship is 12y.
Inequality for the number of hours:
x + y < 15Inequality for the earning:
24x + 12y ≥ 240This can be simplified by dividing all terms by 12:
2x + y ≥ 20Answer:
[tex]\begin{cases} x+y < 15\\24x+12y \geq 240 \end{cases}[/tex]
[tex]\begin{cases} x+y < 15\\2x+y \geq 20 \end{cases}[/tex]
Step-by-step explanation:
Part-time job
Let x be the number of hours worked.$24 = pay per hour.Internship
Let y be the number of hours worked.$12 = pay per hour.The student needs to work less than 15 hours a week:
[tex]\implies x+y < 15[/tex]
The student needs to earn at least $240 a week:
[tex]\implies 24x+12y \geq 240[/tex]
Therefore, the system of inequalities is:
[tex]\begin{cases} x+y < 15\\24x+12y \geq 240 \end{cases}[/tex]
The second inequality can be simplified by dividing each term by 12:
[tex]\implies \dfrac{24x}{12}+\dfrac{12y}{12} \geq \dfrac{240}{12}[/tex]
[tex]\implies 2x+y \geq 20[/tex]
Therefore, a second system of inequalities is:
[tex]\begin{cases} x+y < 15\\2x+y \geq 20 \end{cases}[/tex]
To solve the system of equalities, graph both inequalities and shade the overlapping region.
Any (x, y) point in the overlapping region is a solution to the system of inequalities.
Josephine started to watch a movie the movie starts at 18:30 the movie was 1 hour and 53 minutes long but part way through it she paused it for 16 minutes what time did the movie end?
Answers
Answer:
The movie ended at 7:39 a.m.
Step-by-step explanation:
She started at 6:30. 53 minutes added to that would be 7:23. Another 16 minutes added to that would be 7:39.
The movie will end at 20:39.
What is time conversion?Conversion Time means a time which falls after the Calculation Time and is the time at which the admission of the Ordinary Shares arising on Conversion to the Official List becomes effective.
Given that, Josephine started to watch a movie the movie starts at 18:30 the movie was 1 hour and 53 minutes long but part way through it, she paused it for 16 minutes
The total time taken = 1 hour + 53 minutes + 16 minutes = 1 hours + 69 minutes
= 1 hour + 60 minutes + 9 minutes
= 1 hours + 1 hours + 9 minutes
= 2 hours + 9 minutes
Therefore, total time she took for movie is 2 hr 9 min
Since, the movie started at 18:30,
Therefore, 18:30 + 2 hour 9 minute
= 20 hours + 39 minutes
Hence, The movie will end at 20:39
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x = [?]
4x-2 3x + 14
Answers
What is the equation of a line, in slope-intercept form, which passes through (4, -1) and has a slope of 1/3
Answers
Answer:
The answer is y = 0.333x + -2.332
Step-by-step explanation:
All you have to do is put above values in equation, which should get you to:
-1 = 0.333 (4) + b
-1 = 1.332 + b
-2.332 = b
b = -2.332
y = 0.333x + -2.332
Need help asap.
Calculate the residuals for the scatterplot.
Answers
The residuals of the regression are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61
How to determine the residuals?The regression equation is given as:
y = 0.138x + 1.166
Next, we calculate the predicted values (y) at the corresponding x values.
So, we have:
y = 0.138 * 18 + 1.166 = 3.65
y = 0.138 * 21.9 + 1.166 = 4.19
y = 0.138 * 18 + 1.166 = 3.65
y = 0.138 * 20 + 1.166 = 3.93
y = 0.138 * 18 + 1.166 = 3.65
y = 0.138 * 0.7 + 1.166 = 1.26
y = 0.138 * 21.9 + 1.166 = 4.19
y = 0.138 * 0.7 + 1.166 = 1.26
y = 0.138 * 16.7 + 1.166 = 3.47
y = 0.138 * 15.5 + 1.166 = 3.31
The residuals are then calculated using:
Residual = Actual value - Predicted value
So, we have:
Residual = 3.7 - 3.65 = 0.05
Residual = 3.69 - 4.19 = -0.5
Residual = 3.8 - 3.65= 0.15
Residual = 4 - 3.93 = 0.07
Residual = 4 - 3.65= 0.35
Residual = 1.11 - 1.26 = -0.15
Residual = 3.69 - 4.19 = -0.5
Residual = 1.11 - 1.26 = -0.15
Residual = 3.5 - 3.47 = 0.03
Residual = 3.92 - 3.31 = 0.61
Hence, the residuals are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61
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Answer:
The residuals of the regression are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61
How to determine the residuals?
The regression equation is given as:
y = 0.138x + 1.166
Next, we calculate the predicted values (y) at the corresponding x values.
So, we have:
y = 0.138 * 18 + 1.166 = 3.65
y = 0.138 * 21.9 + 1.166 = 4.19
y = 0.138 * 18 + 1.166 = 3.65
y = 0.138 * 20 + 1.166 = 3.93
y = 0.138 * 18 + 1.166 = 3.65
y = 0.138 * 0.7 + 1.166 = 1.26
y = 0.138 * 21.9 + 1.166 = 4.19
y = 0.138 * 0.7 + 1.166 = 1.26
y = 0.138 * 16.7 + 1.166 = 3.47
y = 0.138 * 15.5 + 1.166 = 3.31
The residuals are then calculated using:
Residual = Actual value - Predicted value
So, we have:
Residual = 3.7 - 3.65 = 0.05
Residual = 3.69 - 4.19 = -0.5
Residual = 3.8 - 3.65= 0.15
Residual = 4 - 3.93 = 0.07
Residual = 4 - 3.65= 0.35
Residual = 1.11 - 1.26 = -0.15
Residual = 3.69 - 4.19 = -0.5
Residual = 1.11 - 1.26 = -0.15
Residual = 3.5 - 3.47 = 0.03
Residual = 3.92 - 3.31 = 0.61
Hence, the residuals are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61
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Step-by-step explanation:
What is the order of this matrix?
Answers
Answer: C
Step-by-step explanation:
It should be 5 x 3, considering that rows come before the columns.
What is the experimental probability that the coin will land on heads?
Answers
Step-by-step explanation: Without more information, it is impossible to determine the experimental probability that a coin will land on heads. The experimental probability of an event is determined by performing experiments and observing the results. For example, if we were to flip a coin 10 times and it landed on heads 6 times, we could say that the experimental probability of the coin landing on heads is 6/10, or 0.6. However, without knowing the results of any experiments, it is impossible to determine the experimental probability of the coin landing on heads.
Answer: We should ASSUME 1/2 or 50%
Step-by-step explanation: Since we don't know the exact number of times the person flipped the coin, we must infer you mean he/she flips the coin once. So, If a coin has 2 sides and the probability is 100% total, we can write an expression to help us solve:
P(Probability)= 100/2
P= 50% or 1/2
How I got 50% or 1/2 is I took the whole probability (100%) and divided it by 2. (2 sides on a coin)
I hope this helped (at least)
PLEASE EXPLAIN AND SHOW YOUR WORK THANK YOU!!
Solve as a MIXED NUMBER:
-2.25 + 0.4x = -2.8
THANK YOU!!!
Answers
Answer:
x=-1 3/8
Step-by-step explanation:
-2.25 + 0.4x = -2.8
-2.25 + 2.25 + 0.4x = -2.8 + 2.25 ==> add 2.25 on both sides to isolate x
0.4x = -0.55
(0.4x = -0.55)*20 ==> multiply the equation by 20 to remove decimals
8x = -11
x=-11/8
x=-(3+8)/8 ==> turn x into a mixed number
x=-3/8 - 8/8
x=-3/8 - 1 ==> simplify
x=-1 - 3/8
x=-(1 + 3/8)
x=-1 3/8
