64x^4+1408x^3+11616x^2+ 42592x+ 58549
How does A compare to B?
Answer:
a. [tex]A\geq B[/tex]
Step-by-step explanation:
[tex]sin\frac{\pi }{2} =1[/tex]
and
[tex]cos(-\pi )=-1[/tex]
Answer:
Sin (pi/2) > Cos (-pi)
Step-by-step explanation:
Sin (pi/2) = 1
Cos (-pi) -1
Write the following integers in order from least to greatest. -2, -4, 0, -6, -5
The following integers from least to greatest are as follows:
0, -2, -4, -5, -6
Answer:
-6, -5, -4, -2, 0
Step-by-step explanation:
Find them on the number line and read them from left to right.
__
You can also enter the numbers into a spreadsheet and use the 'sort' function.
_____
The key understanding here seems to be that negative numbers with a larger magnitude are smaller or less than negative numbers with a smaller magnitude:
-6 is less than -5
And all negative numbers are less than zero or any positive numbers.
A number by which another number is to be divided is called
Answer:
Step-by-step explanation:
If we had a division problem that read "16 divided by 8 equals 2", the 8 would be outside the division sign, the 16 would be under the division sign, and the 2 would be sitting on top of the division sign. The 8 is called the divisor, the 16 is called the dividend, and the 2 is called the quotient.
The answer you want, then, is "dividend"
The number by which another number is divided is called a divisor. This applies to many mathematical operations, including division, multiplication, and calculations involving exponents, such as in scientific notation.
Explanation:A number by which another number is to be divided is called a divisor. When we consider a division operation, we usually think of it as a 'dividend' divided by a 'divisor' equals a 'quotient'. If you take an example of 16 ÷ 4 = 4, here, 16 is the dividend (the number being divided), 4 is the divisor (the number that divides the dividend), and the resulting 4 is the quotient (the result of the division).
Similarly, this concept can be applied to complex mathematical operations such as multiplication and division in scientific notation or logarithmic expressions. For example, in scientific notation, when you want to divide two numbers, you divide the numbers out front and subtract the exponents.
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A dance club ordered shoes for all of its members. The shoe sizes are shown in the table.
Ten members of the dance club were selected for a special performance. The shoe sizes are shown in the table.
What is the sample mean for the data?
Enter your answer, as a decimal, in the box
The Answer is 7.7
Add all the Shoe size From the second Table
7+7+10+6+9+6+8+7.5+8.5+8=77
77 divide by the number of Shoe size
There are 10 shoe size So,
77/10=7.7
Hope this Help:)
Answer:
7.7
Step-by-step explanation:
The mean (or average) is the sum of the data points divided by the number of data points.
μ = (7 + 7 + 10 + 6 + 9 + 6 +8 + 7.5 + 8.5 + 8) / 10
μ = 77/10
μ = 7.7
Find the sum of a finite geometric series.
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is ______ inches.
Answer: 17 in.
Step-by-step explanation:
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is 17 in.
Answer with explanation:
⇒Side of largest equilateral triangle in which three equilateral triangles are inscribed = 16 inches
Perimeter of a triangle = Sum of three sides of triangle
Perimeter of equilateral triangle having side length 16 inches = 16 +16+16=48 inches
⇒→Second equilateral triangle which is inscribed in this equilateral triangle having side length half of that equilateral triangle in which it is inscribed
[tex]=\frac{16}{2}\\\\=8[/tex] inches
Perimeter of equilateral triangle having side length 8 inches = 8 +8+8=24 inches
⇒→Third equilateral triangle which is inscribed in this equilateral triangle having side length half of that equilateral triangle in which it is inscribed
[tex]=\frac{8}{2}\\\\=4[/tex] inches
Perimeter of equilateral triangle having side length 4 inches =4+4+4=12 inches
⇒→Fourth equilateral triangle which is inscribed in this equilateral triangle having side length half of that equilateral triangle in which it is inscribed
[tex]=\frac{4}{2}\\\\=2[/tex] inches
Perimeter of equilateral triangle having side length 2 inches =2+2+2=6 inches
→≡Total Perimeter of all four Equilateral Triangle
=48 +24+12+6
= 90 inches
Which is a reason to save money regularly?
A. You will always have a steady income source
B. You need access to funds for frivolous spending
C. You can qualify for opportunities that might otherwise be impossible
D. You can pay less with credit purchases
(my answer is D)
Answer:
The answer is C I believe
Answer:
C. You can qualify for opportunities that might otherwise be impossible
The volume of the cylinder is 5275 ft and the height is 23 find the diameter please explain this is for school tomorrow
[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} V=5275\\ h=23 \end{cases}\implies 5275=\pi r^2(23)\implies \cfrac{5275}{23\pi }=r^2 \\\\\\ \sqrt{\cfrac{5275}{23\pi }}=r\implies 15.144\approx r~\hspace{10em}\stackrel{diameter=2r}{d\approx 30.288}[/tex]
Randall recorded 8 songs on his most recent CD the total length of the CD is 49 minutes find a until rate to represent the average length per song on the CF Please help I don't understand
Answer:
6.125 minutes per song
Step-by-step explanation:
Unit rates are based on a single unit of something. Like price per 1 gallon of gas; price for 1 pound of bananas; miles driven per 1 gallon of gas, etc. What we are looking for in minutes per song.
Use a proportion to solve this with minutes on top and number of songs on the bottom. We know that 49 minutes = 8 songs, and we want to know how many minutes (x) per 1 song:
[tex]\frac{min}{song}:\frac{49}{8}= \frac{x}{1}[/tex]
Cross multiply to get
8x = 49 so
x = 6.125 minutes per song
The question asked was about finding the average length of songs on a CD. We calculated this by dividing the total length of the CD (49 minutes) by the total number of songs (8), which gives us an average song length of 6.125 minutes.
Explanation:The subject of the question is average, a fundamental concept in mathematics. In this particular question, we need to find out the average length of the songs on Randall's CD. We know that the total length of his CD is 49 minutes, and he has recorded 8 songs on it. Finding the average involves dividing the total by the number of units.
The steps to find the average length per song are as follows:
Add up the total amount - in this case, it's 49 minutes.Count the number of units - here, it's 8 songs.Divide the total (49 minutes) by the number of units (8 songs).Upon carrying out this calculation, we discover that the average length of each song is approximately 6.125 minutes.
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As a contestant on a televised game show, Akash gets to spin the big prize wheel, which has a radius of 2 yards. What is the prize wheel's diameter?
Answer:
4 yards. The radius is half the diameter of the circle and the length of one point of the circle to the center of the circle.
Step-by-step explanation:
Final answer:
The diameter of a prize wheel with a radius of 2 yards is calculated by multiplying the radius by 2, resulting in a diameter of 4 yards.
Explanation:
Akash, a contestant on a game show, gets to spin a prize wheel with a radius of 2 yards. The diameter of a circle is twice the length of its radius. Therefore, to find the prize wheel's diameter, we simply need to multiply the radius by 2.
Calculating Diameter:
Diameter = 2 × Radius
Diameter = 2 × 2 yards
Diameter = 4 yards
The prize wheel's diameter is 4 yards.
Which is the equation in slope-intercept form for the line that passes through (-2, 15) and is perpendicular to 2x + 3y = 4?
A. y = 2/3x + 18
B. y = 3/2x + 18
C. y = 3/2x - 12
D. y = -3/2x + 18
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2x + 3y = 4 into this form
Subtract 2x from both sides
3y = - 2x + 4 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{4}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex], hence
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation of the perpendicular line
To find c substitute (- 2, 15) into the partial equation
15 = - 3 + c ⇒ c = 15 + 3 = 18
y = [tex]\frac{3}{2}[/tex] x + 18 → B
The equation of the line that passes through (-2, 15) and is perpendicular to 2x + 3y = 4 is y = 3/2x + 18.
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the equation of the line that is perpendicular to 2x + 3y = 4, we need to first find its slope.
We can rearrange the equation into slope-intercept form (y = mx + b) by solving for y:
2x + 3y = 4
3y = -2x + 4
y = (-2/3)x + 4/3
So the slope of line 2x + 3y = 4 is -2/3.
Now,
Since we want a line that is perpendicular to this line, we know that its slope will be the negative reciprocal of -2/3, which is 3/2.
Now we have the slope and a point (-2, 15) that the line passes through.
We can use the point-slope form to write the equation:
y - 15 = 3/2(x + 2)
Simplifying:
y - 15 = 3/2x + 3
y = 3/2x + 18
Thus,
The equation of the line that passes through (-2, 15) and is perpendicular to 2x + 3y = 4 is y = 3/2x + 18.
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Please help me out..!!!!!
Answer:
y = 178.3 ft
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan27° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{350}[/tex]
Multiply both sides by 350
350 × tan27° = y, hence
y = 178.3
Identify the measure of arc UPR. PLEASE HELP!! I don't understand!!
Answer:
189°
Step-by-step explanation:
∠UPR = ∠UOP + ∠POQ + ∠QOR = 81° + 56° + 52° = 189°
The histograms below show the ages of dogs at four different shelters. For which set of data is the mean most likely greater than the median?
Answer: the answer is a
Answer:
a
Step-by-step explanation:
A square has side length of 16.5 in. If the area is multiplied by 9, what happens to the side length?
Answer:
The side length is multiplied by the scale factor of 3, which makes it 49.5
Step-by-step explanation:
The scale factor goes as follows
length : scale factor
area: scale factor squared
Volume : scale factor cubed
Since we increased the area by 9, that would be the scale factor squared
Take the square root of 9, which is 3, and that is the scale factor
We want to know what happens to the length
It is multiplied by the scale factor
16.5*3 = 49.5
Which of the following is not an example of exponential growth or decay? A. a t-shirt shrinks by 2% after each wash B. a one time bonus of 10% of a worker’s annual salary C. a yearly pay increase of 3% each year D. a savings account growing by 3% each year
Final answer:
Option B, a one-time bonus of 10% of a worker’s annual salary, is not an example of exponential growth or decay because it does not involve a percentage change being applied repeatedly over time to a changing base amount.
Explanation:
The question asked is: Which of the following is not an example of exponential growth or decay? The options are: A. a t-shirt shrinks by 2% after each wash, B. a one time bonus of 10% of a worker’s annual salary, C. a yearly pay increase of 3% each year, D. a savings account growing by 3% each year. To answer this, we must recognize that exponential growth or decay refers to processes that grow or decrease at a rate proportional to their current size. This means the amount of increase or decrease changes over time, as it is a percentage of an ever-changing base amount.
Options A, C, and D all describe situations where the quantity changes by a fixed percentage over time, indicative of exponential growth (or decay, in the case of shrinking). Option A discusses a t-shirt shrinking by 2% after each wash, meaning each time it shrinks, it does so based on its current size, which is a characteristic of exponential decay. Option C talks about a yearly pay increase of 3% each year, and Option D describes a savings account growing by 3% each year; both are examples of exponential growth. Therefore, the answer is Option B, a one-time bonus of 10% of a worker’s annual salary, as it does not describe a situation where the growth rate is applied over time to an ever-changing base amount.
Select the margin of error that corresponds to the sample mean that corresponds to each population: A population mean of 25, a standard deviation of 2.5, and a margin of error of 5%.
A.) 25
B.) 20
C.) 30
PLEASE ANSWER FAST I DONT KNOW HOW TO DO THIS :(
Answer:
I think it is 25.
Step-by-step explanation:
Answer with explanation:
Population Mean = 25
Standard Deviation =2.5
[tex]Z_ {Score} =\frac{5}{100}\\\\Z_ {Score} =0.05\\\\Z_{0.05}=0.5199[/tex]
Let ,Margin of error= m
And, Sample Population = n
[tex]m=Z_{0.05} \times \frac{\sigma}{\sqrt{n}}\\\\ m=0.5199 \times \frac{2.5}{\sqrt{25}}\\\\m=0.5199 \times 0.5\\\\m=0.25995[/tex]
m= 0.2599 × 100%
m=25.99%=26%
Option A: 25=Margin of error
Which system of linear inequalities has the point (3,-2) in its solution set?
A.y < -3
y ≤ 2/3x - 4
B.y > -3
y ≥ 2/3x - 4
C.y < -3
y ≥ 2/3x - 4
D.y > -2
y ≤ 2/3x - 4
(the answers come with graphs but sorry I couldn't find a way to put them all in)
Answer:
Option B.
Step-by-step explanation:
we know that
If a ordered pair is a solution of the system of inequalities
then
the ordered pair must satisfy both inequalities of the system
Verify each case
Case A) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
[tex]-2< -3[/tex] ----> is not true
therefore
The ordered pair is not a solution of the system A
Case B) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
[tex]-2> -3[/tex] ----> is true
Inequality 2
[tex]-2 \geq \frac{2}{3} (3)-4[/tex]
[tex]-2\geq -2[/tex] ----> is true
therefore
The ordered pair is a solution of the system B
Case C) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
[tex]-2<-3[/tex] ----> is not true
therefore
The ordered pair is not a solution of the system C
Case D) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
[tex]-2>-2[/tex] ----> is not true
therefore
The ordered pair is not a solution of the system D
Answer:
i think it is b as well! on edg
Step-by-step explanation:
How many solutions does the system of equations have? 2x + 3y = 6 y=-2/3x-1A. 0 B. 1 C. 2 D. infinite
Answer:
0
Because -2/3x-1=2-2/3x
-2/3x+2/3x=2+1
0=3
and that's wrong, so there is no solution.
ANSWER
A. 0
EXPLANATION
The first equation is
2x + 3y = 6
The second equation is
y=-2/3x-1
Let us rewrite the first equation in slope-intercept form.
3y =-2x+ 6
[tex]y = - \frac{2}{3} x + 2[/tex]
We can see that both equations has the same slope,
[tex] m = - \frac{2}{3} [/tex]
but different y-intercepts.
This implies that the two lines do not intersect because they are parallel.
Therefore the system has no solution.
i would appreciate help. tyvm
Answer:
4) reflexive property of congruence
5) SAS theorem
6) property of Congruent triangles
Step-by-step explanation:
Given:
In ΔXYZ, line YW ⊥ XZ
Also XW≅ZW
Now
4) by reflexive property of congruence that states that any line,object or figure is congruent to itself
hence YW≅YW
5) By SAS theorem that states that if the two corresponding sides and the angle between those sides of two triangles are congruent then the two triangles are said to be congruent.
Hence ΔWXY≅ΔWZY
6) By property of Congruent triangles that states that if two triangles are congruent then their corresponding sides are also congruent.
Hence XY≅ZY !
Given that f (x) = x^2 - 5x + 6, evaluate the function f (-2).
Answer:
f(- 2) = 20
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x)
f(- 2) = (- 2)² - 5(- 2) + 6 = 4 + 10 + 6 = 20
The value of the function f(x) = x² - 5x + 6 at x = -2 is 20 after plugging the value of x is -2 in the function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = x² - 5x + 6
Plug x = -2
f(-2) = (-2)² - 5(-2) + 6
f(-2) = 4 + 10 + 6
f(-2) = 20
Thus, the value of the function f(x) = x² - 5x + 6 at x = -2 is 20 after plugging the value of x is -2 in the function.
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If f(4) = 12 and f '(x) ≥ 3 for 4 ≤ x ≤ 9, how small can f(9) possibly be?
Answer:
27
Step-by-step explanation:
If the slope of f(x) is no less than 3, then the value of f(9) can be no less than 27.
f(x) ≈ f(4) +f'(x)·(x-4)
f(9) = 12 +3(9 -4) = 27 . . . . . for f'(x) = 3.
For larger numbers of f'(x), f(9) will be larger.
We want to find the minimum possible value of f(9) given that:
f(4) = 12f'(3) ≥ 3 for 4 ≤ x ≤ 9We will see that the smallest value that f(9) can take is 27.
We know that the derivate of f(x) gives the slope to the tangent line to the graph of f(x) in a given point where it is evaluated.
If this slope is positive, the function is increasing. So if we want to find the minimum value for f(9), then we need to take the smallest slope possible (knowing that it is positive).
Then we must use f'(x) = 3
Now, we can integrate this to get:
f(x) = 3*x + b
Where b is a constant of integration, to find the value of b, we can use the fact that f(4) = 12, then:
12 = f(4) = 3*4 + b
12 = 12 + b
12 - 12 = 0 = b
Thus the equation is just:
f(x) = 3*x
Now we can evaluate this in x = 9 to get:
f(9) = 3*9 = 27
The smallest value that f(9) can take is 27.
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HELP! AND PLS EXPLAIN!
Name the point. Write the result in the form a + bi.
Answer:
-7+6i
Step-by-step explanation:
On the Cartesian x-y plane, a point is located by giving the ordered pair of its coordinates. A point in this position on the x-y plane would have coordinates (-7, 6). That is, it is located 7 units to the left of the vertical axis, and 6 units above the horizontal axis.
The complex plane is similar in many ways, but each point represents a single number (not a pair of numbers). That single number has two parts: a real part and an imaginary part. The real part is measured by the real axis, a horizontal axis that looks very much like the x-axis of a Cartesian plane. The imaginary part is measured against the imaginary axis, a vertical axis that looks very much like the y-axis of a Cartesian plane.
Just as an ordered pair locates a point on the Cartesian plane, a complex number with a real part and an imaginary part locates a point on the complex plane. The imaginary part is identified by the "i" multiplier. (In some fields of study, notably Electrical Engineering, "j" is used instead of "i", because "i" has a different meaning.)
Here, your point is 7 units left of the imaginary axis, so has a real part of -7. It is 6 units above the real axis, so has an imaginary part of 6. When both parts are written together, the number is written -7+6i.
Comparing this form to a+bi, we find a=-7, b=6.
help pleaseeeeeee! thanks
Answer:
The center is at 2
Step-by-step explanation:
The spread is only from 0 to 5.
There are two clusters (one at 0-2 and one at 4-5)
The peak is at 5 not at 8
Answer:
oh i did this one the answer is B.
Suppose you had to decide between an apartment that costs $800/month for a month-to-month contract, or $650/month for an annual contract. The annual contract includes a 2-month early termination penalty if you leave before 12 months. Now, suppose you chose the annual contract. If you leave after 8 months, which option would be the most cost effective?
Answer:
the second one would be more effective because $800*12 will cost a lot more than $650+2 months penalty if u leave
Please help me out :)
Answer:
162π ft²
Step-by-step explanation:
The surface area (SA) of a sphere is
SA = 4πr² ← r is the radius
Calculate r from the volume, that is
V = [tex]\frac{4}{3}[/tex]πr³ = 972π
Multiply both sides by 3
4πr³ = 2916π ( divide both sides by 4π )
r³ = [tex]\frac{2916\pi }{4\pi }[/tex] = 729
Take the cube root of both sides
r = [tex]\sqrt[3]{729}[/tex] = 9, hence
SA = 4π × 9² = 4π × 81 = 324π
The prices of the 10 most popular truck tires at a tire store are shown here. What's the range of the prices?
$249.99, $239.99, $236.99, 223.99, 221.99
$219.99, $219.99, $212.49, $207.49, $201.49
A. $28.00
B. $48.00
C. $18.00
D. $48.50
The range of the given data is $48.50, i.e. option D.
What is range?The range is defined as a relation between a set of inputs having one output each.
We have,
The prices of the 10 most popular truck tires,
i.e.
$249.99, $239.99, $236.99, 223.99, 221.99, $219.99, $219.99, $212.49, $207.49, $201.49.
Now,
Arrange the given data in the ascending form,
i.e.
$201.49, $207.49, $212.49, $219.99, $219.99, $221.99, $223.99, $236.99, $239.99, $249.99.
Now,
We have,
The Greatest and the smallest number,
i.e.
Greatest number = $249.99
Smallest number = $201.49
So,
The range = Greatest number - Smallest number
i.e.
The range = $249.99 - $201.49 = $ 48.50
So,
The range of the given data is $48.50.
Hence, we can say that the range of the given data is $48.50, i.e. option D.
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The scatterplot shows pairs of final exam grades (x, y) for a group of students.
Which statement BEST describes the data?
There is no correlation between the hours studied and grades earned.
There is a negative correlation between the hours studied and grades earned.
There is a constant correlation between the hours studied and grades earned.
There is a positive correlation between the hours studied and grades earned.
Mateo wants to make a toy sailboat. He has two pieces of wood to choose from. His first piece of wood is a block that measures 18'' x 10" x 8". It weighs 46.65 lbs. His second piece of wood is a log of wood measuring 21" long, with an average circumference of 25.12". It weighs 39.25 lbs. The sailboat needs to float, but both blocks of wood are denser than wood usually is, and he's not sure either piece of wood will float. He doesn't want to get the water wet before he's applied a sealant, so he isn't willing to just drop them in the water to find out.
2a. Which common solid can he use to represent the block? Which common solid can he use to represent the log? (2 points)
2b. What is the density of the block in pounds per cubic inch? Give the formula for density and show your work. (3 points)
2c. What is the density of the log in pounds per cubic inch? Give the formula for density and show your work. Use 3.14 for π. (Hint: you can determine the radius from the circumference.) (3 points)
2d. Water has a density of about 0.0361 pounds/cubic inch. Anything rarer will float, and anything denser will sink. Which of the pieces of wood are suitable for making a toy boat that will float? (2 points)
Step-by-step explanation:
2a. The block of wood has the shape of a rectangular prism. The log has the shape of a cylinder.
2b. Density is mass divided by volume. We know the mass, but we need to find the volume.
Volume of a rectangular prism is:
V = whl
where w is the width, h is the height, and l is the length
V = (18)(10)(8)
V = 1440 in³
So the density is:
d = 46.65 lbs / 1440 in³
d = 0.0324 lb/in³
2c. Volume of a cylinder is:
V = πr²h
where r is radius and h is height.
The circumference is C = 2πr, so r = C / (2π).
r = 25.12 / (2*3.14)
r = 4.00
V = 3.14 (4.00)² (21)
V = 1055.04 in³
So the density is:
d = 39.25 lb / 1055.04 in³
d = 0.0372 lb/in³
2d. The block is less dense than water; the log is more dense than water. So he should make the boat out of the block.
The traffic light at the center of town is green for 45 seconds, then yellow for 5 seconds, then red for 40 seconds, at which point the cycle repeats. If a car approaches the traffic light at a random time, what is the probability that the traffic light will be green?
a. 1/9
b. 1/8
c. 1/2
d. 8/9
Answer:
C, 1/2 of the time.
Step-by-step explanation:
all the seconds added together is 90. 45 is half of 90, so half the time the light will be green, the cars will have a 50% chance of coming up to a green light.
Answer:
C.
Step-by-step explanation:
It takes Lisa 8 1/4 hours to give to her aunts house and takes Lisa 5 3/4 hours to get to her uncle's house how much farther does Lisa have to drive to get to her aunt's house in her uncle's house
Answer:
if she drove away she would have to drive 14 hours, or if it were i the same direction she would have to drive 2 1/2 hours
Step-by-step explanation:
8 1/4 + 5 3/4 = 14
8 1/4 - 5 3/4 = 2 1/2
Lisa has to drive an extra 2 1/2 hours to get to her aunt's house compared to her uncle's house. This is determined by converting the mixed numbers to improper fractions, subtracting the smaller fraction from the larger one, and simplifying the result.
Explanation:The subject of this question falls under Mathematics, specifically subtraction of fractions. In this question, Lisa takes 8 1/4 hours to get to her aunt's house and 5 3/4 hours to get to her uncle's house. The time difference is the extra distance she must travel to reach her aunt's house compared to her uncle's house.
First, we will convert mixed fractions to improper fractions. 8 1/4 becomes 33/4 and 5 3/4 becomes 23/4.Next, subtract the smaller fraction from the larger one: 33/4 - 23/4 = 10/4.Finally, simplify the resulting fraction to obtain the solution. 10/4 simplifies to 2 1/2.So, Lisa has to drive for an extra 2 1/2 hours to get to her aunt's house as compared to her uncle's house.
Learn more about Subtraction of Fractions here:https://brainly.com/question/9283740
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