a rectangle has a length of x3y4 inches and a width of xy7 inches . Which expression represents the ratio of the length of the rectangle to do width of the rectangle? (NEED HELP ASAP)
Answers
Answer:
A. x²/y³
Step-by-step explanation:
Given the following data;
Length = x³y⁴
Width = [tex] xy^{7}[/tex]
Ratio = length/width
[tex] Ratio = \frac{x^{3}y^{4}}{xy{^7}}[/tex]
Simplifying the equation by applying the law of indices (division), we have;
[tex]\frac{x^{3}}{x} = x^{3} - x^{1} = x^{3-1} = x^{2} [/tex]
[tex]\frac{y^{4}}{y^{7}} = y^{4} - y^{7} = y^{4-7} = y^{-3} [/tex]
Hence, rearranging the above values;
[tex] Ratio = \frac{x^{2}}{y^{3}}[/tex]
Therefore, the expression that represents the ratio of the length of the rectangle to the width of the rectangle is A. x²/y³.
Related Questions
help me pls i want to pass my math class
Answers
Answer:
d
Step-by-step explanation:
The function is nonlinear. Linear is a straigt line and this function has a curve. You can find that by thinking of the story or placing it on a graph.
Answer:
d
Step-by-step explanation:
the answer is non-linear because a linear function would only have the first part not 9x+4
What can be concluded about triangles RST and VTU?
The triangles are congruent and similar with a
proportional relationship of 1.
The triangles are congruent but not similar.
The triangles are similar but not congruent.
There is not enough information to determine if the
triangles are congruent or similar
Answers
Answer: It is A
Step-by-step explanation: Just did it on edg2020
Answer:
A
Step-by-step explanation:
A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10
a pound. How many pounds of wooden blocks and plastic bricks should be used to make a
10-pound mixture that would sell for $80?
Answers
Answer:
4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Step-by-step explanation:
Let w = wooden block
Let p = plastic bricks
Given the following data;
Price of wooden block per pounds = $5
Price of plastic brick per pounds = $10
*Translating the word problem into an algebraic equation*
For the 10-pound mixture;
[tex] w + p = 10[/tex] .........equation 1
For the $80 mixture;
[tex] 5w + 10p = 80[/tex] ..........equation 2
Solving the linear equation by using the substitution method;
Making w the subject in equation 1:
[tex] w = 10 - p[/tex] .......equation 3
Substituting "w" into equation 2;
[tex] 5(10 - p) + 10p = 80 [/tex]
Simplifying the equation, we have;
[tex] 50 - 5p + 10p = 80 [/tex]
[tex] 50 + 5p = 80 [/tex]
Rearranging the equation, we have;
[tex] 5p = 80 - 50[/tex]
[tex] 5p = 30 [/tex]
[tex] p = \frac {30}{5} [/tex]
p = 6 pounds (For the plastic brick).
To find w;
Substituting "p" into equation 3;
[tex] w = 10 - 6[/tex]
w = 4 pounds (For the wooden block).
The amount of Kelly’s paycheck varies directly with the number of hours she works. Kelly receives $133.25 for 13 hours of work.
(a) Write a direct variation equation that relates the amount of Kelly’s paycheck, p, to the number of hours, h, Kelly works.
(b) Use the equation to find the number of hours Kelly works when her paycheck is $246.
(c) Use the equation to find the amount of Kelly’s paycheck when she works 40 hours.
MUST SHOW ALL WORK WILL MARK BRAINLEST TO WHOEVER ANSWERS CORRECTLY
Answers
Answer:
A)
[tex]y=10.25x[/tex]
B)
24 hours
C)
$410
Step-by-step explanation:
We are given that Kelly’s paycheck varies directly with the number of hours she works.
We know that she received $133.25 for 13 hours of work.
Part A)
The standard form for the direct variation equation is:
[tex]y=kx[/tex]
Where k is the constant of variation.
Here, y is the paycheck amount and x is the number of hours Kelly worked.
We know that Kelly received $133.25 for 13 hours of work. Hence, y = 133.25 when x = 13:
[tex]133.25=13k[/tex]
Solve for k:
[tex]k=10.25\\[/tex]
Therefore, our constant of variation is 10.25.
We can substitute this into our equation:
[tex]y=10.25x[/tex]
Therefore, our direct variation equation is:
[tex]y=10.25x[/tex]
Contextually, the equation tells us that Kelly earns $10.25 per hour.
Part B)
Using the equation, we can determine the the number of hours Kelly worked to earn $246. We can substitute 246 for y:
[tex]246=10.25x[/tex]
Solve for x:
[tex]\displaystyle x=\frac{246}{10.25}=24[/tex]
Therefore, x = 24.
Therefore, Kelly must’ve worked 24 hours for her paycheck to be $246.
Part C)
We can use our equation. This time, we will substitute 40 for x and evaluate. Hence:
[tex]y=10.25(40)=\$410[/tex]
So, Kelly will earn $410 for working 40 hours.
Factorise: (a) 3x2 + 27y2 + z2 - 18xy + 6 √3yz -2 √3zx (b) 27 x3 + 125y3 (c) (2a – 3b + c )2
(d) 1 a3 + b3 + 125 c3 - 15 a b c (e) [x – 1/x y]3 (f) x4 y4 – x y
64^4
(g) 8x3 – (2x – y)3 (h) a6 _ b6
Answer please
Answers
Answer:
(a) [tex]3x^2 + 27y^2 + z^2 - 18xy + 6 \sqrt{3} yz -2 \sqrt{3} zx[/tex]
this can be written as
[tex](-x\sqrt{3})^2 + (y3\sqrt{3})^2 + (z)^2 +2 ( -x\sqrt{3} )( y3\sqrt{3}) + 2( y3\sqrt{3})(z) + 2(z)( -x\sqrt{3})[/tex]
which is equivalent to
[tex]a^2+ b^2 + c^2 + 2ab + 2bc + 2ac = (a+b+c)^2[/tex]
[tex](-x\sqrt{3} + y3\sqrt{3} + z)^2 = (-x\sqrt{3} + y3\sqrt{3} + z)(-x\sqrt{3} + y3\sqrt{3} + z)[/tex]
(b)[tex]27 x^3 + 125y^3[/tex] = [tex](3x)^3 + (5y)^3[/tex]
which is same as [tex]a^3 + b^3 = (a+b)(a^2 +b^2 -ab)[/tex]
= [tex](3x + 5y)(9x^2 + 25y^2 -15xy)[/tex]
(c) [tex](2a - 3b + c )^2[/tex] = (2a -3b +c)(2a -3b+c)
(d) [tex]a^3 + b^3 + 125 c^3 - 15 a b c[/tex]
this is same as
[tex]a^3 + b^3 +c^3 - 3abc[/tex] = [tex](a+b+c)( a^2+b^2+c^2 -ab-bc-ac)[/tex]
= [tex](a + b + 5c)(a^2+b^2 +25c^2 -ab -5bc -5ac)[/tex]
(e) [tex](x - 1/x y)^3[/tex] = [tex](x - 1/xy)(x - 1/xy)(x - 1/xy)[/tex]
(f) [tex]x^4 y^4 - x y64^4 = xy( x^3y^3 - 64^4) = xy( x^3y^3 - (256)^3) \\ = xy( xy - 256 )(x^2y^2 + 65536 + 256xy)[/tex]
(using the property of [tex]a^3 -b^3 = (a-b)(a^2+b^2 +ab)[/tex] )
(g) [tex]8x^3 - (2x - y)^3 = (2x)^3 - (2x-y)^3 \\ = (2x - 2x + y)(4x^2 + (2x-y)^2 + 2x(2x-y))\\ = y(8x^2 + y^2 -6xy +4x)[/tex] using the same property above
(h)
[tex]a^6 -b^6 = (a^2)^3 - (b^2)^3 = (a^2-b^2)( a^4+b^4 +a^2b^2)\\ = (a-b)(a+b)( a^4+b^4 +a^2b^2)[/tex]
Write an equation in point slope form of the line with the slope of 4 that passes through (-2,-5)
Answers
Answer:
y=4x+3Step-by-step explanation:
m =4
[tex](-2,-5)=(x_1,y_1)[/tex]
Substitute values into slope intercept form
[tex]y-y_1=m(x-x_1)\\\\y-(-5)=4(x-(-2))\\\\y+5=4(x+2)\\\\y+5=4x+8\\\\y=4x+8-5\\\\y=4x+3[/tex]
what is the consent term in the expression 6x^3y+8x^2+5x+7 PLZ HELP ME. NO THERE IS NO ANSWER CHOICES. giving brainliest to right answer
Answers
Answer:
+ 7
Step-by-step explanation:
The constant term in the polynomial is the only term with no variable attached to it.
In this case that is + 7 ← constant term
Help please ASAP I don’t really understand it!!
Answers
A constant function is a
function of the form
= b . The slope of a constant function is
Answers
Answer:
The slope of the constant function is 0
Step-by-step explanation:
The equation of the constant function is f(x) = b, where b is the y-interceptThe constant function is represented graphically by a horizontal line, the y-coordinates of all points lie on it is bThe slope of any horizontal line is 0 because the difference between the y-coordinates of any two points on the line is 0, then m = 0, so its equation is y = b∵ The equation of the constant function is in the form f(x) = b
∵ The equation of the horizontal line is y = b
∴ f(x) = y
∵ The slope of the horizontal line is 0
∴ The slope of the constant function is 0
We want to get the slope of a constant function, we will see that the slope is equal to zero.
Linear functions:
A general linear function is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
For the case of the constant function we have:
y = b
Notice that we can rewrite this as:
y = 0*x + b
Then is easy to see that the slope of the constant function is equal to 0.
If you want to learn more about linear functions, you can read:
https://brainly.com/question/14323743
Which algebraic expression means "four less than three times a number"
Answers
Answer:
3x-4
Step-by-step explanation:
"3 times a number" is 3x where x is the number
"Four less than" means we subtract four from 3x
Therefore, 3x-4 is the correct algebraic expression
The bakers at healthy bakery can make 330 bagels in 5 hours. How many bagels can they bake in 13 hours? what was that rate per hour
Answers
The rate per hour is 66 bagels made in one hour
Which of the following expressions are equivalent to x+2-x
Answers
A. 2(x + 3) + 2x and 4x + 3
B. -2 + 4 (x + 3 ) and 4x + 10
C. 3x + 5 ( x - 1) and 8x - 5
D. 5x - 2 (x + 4) and 3x + 8
E. 4 - 5 (x + 2) and 5x - 6
Answer: The anwer is A. x+2-x. It is correct!
Step-by-step explanation:
Khanacademy
The graphs below show the test scores for students in different subject area and the time the students spent studying for the tests. Math Scores vs. Hours Spent Studying A graph titled math scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (2.5, 60) and (3.5, 70). Science Scores vs. Hours Spent StudyingA graph titled science scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 40) and (3.5, 50). Spelling Scores vs. Hours Spent Studying A graph titled spelling scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 80) and (4.5, 90). History Scores vs. Hours Spent Studying A graph titled history scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 50) and (2, 70). Which graph has a trend line with the least slope? Math Scores vs. Hours Spent Studying Science Scores vs. Hours Spent Studying Spelling Scores vs. Hours Spent Studying History Scores vs. Hours Spent Studying
Answers
Answer:
The answer is C)Spelling Scores vs. Hours Spent Studying
Step-by-step explanation:
This is the answer because if you look at all of the other options, then you will see that they have a steeper slope, you could also calculate and find for slope if u are still unsure :) hope this helps
The graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph
What is the slope of a line?The slope of a line is the quotient of the change in the vertical values to the corresponding horizontal values
Check below on how the trend line with the least slope can be determined
From the question, we have:
Line 1: (2.5, 60) and (3.5, 70)Line 2: (0.5, 40) and (3.5, 50)Line 3: (0.5, 80) and (4.5, 90).Line 4: (0.5, 50) and (2, 70).The slope (m) is calculated using:
m = (y₂ - y₁)/(x₂ - x₁)
So, we have:
m₁ = (70 - 60)/(3.5 - 2.5) = 10m₂ = (50 - 40)/(3.5 - 0.5) = 3.3m₃ = (90 - 80)/(4.5 - 0.5) = 2.5m₄ = (70 - 50)/(2 - 0.5) = 13.3The line 3 has the least slope
i.e. m₃ = 2.5
Hence, the graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph
Read more about slope at:
https://brainly.com/question/1884491
Which goddess corrupted Heracles' mind?
pleas
Answers
Answer:
his daughter, Megara
Step-by-step explanation:
What would the coordinates be if Figure A was dilated to three times the size and reflected across the y-axis?
A
(6, 18), (6, 3), and (18, 3)
B
(-6, 18), (-6, 3), and (-18, 3)
C
(-18, -6), (-3, -6), and (-3, -18)
D
(18, 6), (3, 6), and (3, 18)
Answers
Answer:B
Step-by-step explanation:
The new coordinates after dilation and the reflection across the y - axis will be (6, 3), (18, 3) and (6, 18).
What is dilation of a figure?
A dilation is a transformation that enlarges or reduces a figure in size.
Given is figure [A] as shown in the figure which is dilated three times the size and is reflected across the y-axis.
Given are the coordinates of the triangle as -
(-2, 1), (-6, 1) and (-2, 6)
When the image is dilated by K, then each coordinate will become -
(x, y) = (Kx, Ky)
Therefore, the new coordinates will be -
(-6, 3), (-18, 3) and (-6, 18)
Now, in reflection across the y - axis, the coordinates will become (-x, y) from the coordinates (x, y).
Therefore, the final coordinates will be -
(6, 3), (18, 3) and (6, 18)
Therefore, the new coordinates after dilation and the reflection across the y - axis will be (6, 3), (18, 3) and (6, 18).
To solve more questions on dilations, visit the link below-
https://brainly.com/question/20810552
#SPJ5
The average of 16 numbers is 70. If the average of 15 of these numbers is 17, then the 16th number is?
Answers
Answer:
865
Step-by-step explanation:
16*70=1120
15*17=255
1120-255=865
Gas prices at a gas station rose from $2.50/gallon to $3.25/gallon. What is the percent of increase in the gas prices?
Answers
unrounjrfStep-by-step explanation:
Find the perimeter of the figure if the following is true:
A= x^2
B= 4x + 8
C= 2x^2
D= x
Answers
The perimeter of a figure is the distance around the outside of the figure. To find the perimeter of this figure, we need to add the lengths of all sides. This is:
P = A + B + C + D
P = x² + 4x + 8 + 2x² + x
P = 3x² + 5x + 8
The perimeter is 3x² + 5x + 8.
= x^2 + 4x + 8 + 2x^2 + x
= 3x^2 + 5x + 8
.:. The perimeter is 3x^2 + 5x + 8
- The perimeter is the sum of all angles.
need your help with math
Answers
Answer:
y=3/4x+2
Step-by-step explanation:
HELP! Which number is a rational number?
A. Square Root of 9/2
B. Square Root of 13/16
C. Square Root of 49
D. Square Root of 34
Answers
Answer:
its c or the square root of 49
Answer:
The answer is C. (square root of 49)
ILL MARK BRAINLIEST PLS HELP
Select all of the descriptions
which describe a transformation of the graph of f(x)=x that could result in
the graph of g(x)=4x.
A
The graph is rotated about (0,0), becoming steeper.
B
The graph is vertically stretched.
The graph is translated 4 units up.
D
The graph is translated 4 units to the right.
E
The graph is vertically shrunk.
F
The graph is reflected across the x-axis.
Answers
Answer: A)
Step-by-step explanation:
1 Subtracting Fractions
Find the sum of 5
7
and
10
1o
The expression written in equivalent form with common
denominators is
The sum is
Answers
Step-by-step explanation:
The question is not properly structured but we can as well find the sum of 5/7 and 10 as shown;
[tex]\frac{5}{7}+ \frac{10}{1} \\The \ LCM \ is \ 7\\\\= \frac{5(1)+10(7)}{7}\\\\= \frac{5+70}{7}\\\\= \frac{75}{7} \\\\= 10 \frac{5}{7}[/tex]
Hence the expression written in equivalent form of common denominator is [tex]\frac{5 + 70}{7}[/tex]
The sum is [tex]10 \frac{5}{7}[/tex]
please solve this!
slope of dotted line:
slope of reflection line:
equation of reflection line:
Answers
Answer:
I-
Step-by-step explanation:
) 5)8%2=80)4)88=5=5=88=9=5)5=
Answer:
Slope of dotted/dashed line: -3
Slope of Reflection line: 0.25
Equation of Reflection line: y = 0.25x - 2
Step-by-step explanation:
Slope of dotted line: rise/run. So 3/1 = 3. It is a negative slop because of the way it is facing ( \ ).
Slope of reflection line: rise/run. So 1/4 = 0.25. It is a positive slope ( / ).
Equation of reflection line: y = mx + b
m = slope
b = y-intercept
y = 0.25x - 2
Pls help me plsss which story represents the graph below
Answers
Answer:
third answer: both of the above
Step-by-step explanation:
The graph shows a small increase, then the data stays the same, it declines, and then has a sharp increase. Both stories portray that.
Sharon’s organization hopes to raise more
than $10,000 at their annual 5k race. what is the inequality?
Answers
Hope that helps!
Remember the sign opens to the bigger number and the line underneath is only when that value is included.
determine whether the given ordered pair is a solution of the equation y=-x-2; (1,-3)
Answers
Answer:
yes, the ordered pair is a solution for this equation
Step-by-step explanation:
y= -x-2
plug in 1 for x and -3 for y
-3= -1-2
-3= -3
Please help me.Huryyyy!!! Whoever answers first gets brainiest!!!
Answers
what do I need to answer?
Answer:
what do i answer lol
Step-by-step explanation:
There 18 rows of seats in the auditorium there are 24 seats in each row how many seats are in the auditorium
Answers
Answer:
432 seats
Step-by-step explanation:
Since 24 seats = 1 row, all we have to do is multiply 24 by 18, since there are 18 rows of seats. This would give us 432, which is the total number of seats in the auditorium.
Solve
3+ (1/4)a = 31
Answers
Answer:
a=112
Step-by-step explanation:
3+(1/4)a=31
-3 -3
(1/4)a=28
*4 *4
(1)a=112
Which of these numbers is four less than a square number?
A 3
B 20
C 37
D 45
Answers
Answer:
D
Step-by-step explanation:
You first add 4 to all of the numbers giving you 7, 24, 41, and 49. Only choice D is a perfect square. for reference, 7*7=49
Answer:
45
Step-by-step explanation:
basically what we are trying to find is x + 4= square
for you to understand this better, take eg 5.
5 + 4 = 9
| \
four less than the square number( 9 is the square of 3)
we took the square of 3 and subtracted 4 from it making the result 4 less
12 + 4 = 16
| \
four less than the square number( 16 is the square of 4)
we took the square of 4 and subtracted 4 from it making the result 4 less
understanding that,
a)3
3 + 4 = 7
there is no square root of 7 X
b)20
20 + 4 = 24
there is no square root of 24 X
c)37
37 + 4 = 41
there is no square root of 41 X
d) 45
45 + 4 = 49
the square root of 49 = 7
answer=49