Answer:
Step-by-step explanation:
1.15
Answer:
-0.067
Step-by-step explanation:
this is a answer
I need this ASAP please!
8x^3 − 125y^3/(2x + 5y)3 ÷ 4x^2 + 10xy + 25y^2/4x^2 + 20xy + 25y^2
To divide by a fraction, multiply by its reciprocal.
8x^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Simplify the numerator.
Rewrite 8x^3 as (2x)^3.
(2x)^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite 125y^3 as (5y)^3.
(2x)^3 − (5y)^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Since both terms are perfect cubes, factor using the difference of cubes formula,
a^3 − b^3 = (a − b) (a^2 + ab + b^2) where a = 2x and b = 5y.
(2x − (5y)) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Multiply 5 by −1.
(2x − 5y) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Apply the product rule to 2x.
(2x − 5y) (22x^2 + 2x (5y) + (5y)^2)/(2x + 5y)3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y2
Raise 2 to the power of 2.
(2x − 5y) (4x^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite using the commutative property of multiplication.
(2x − 5y) (4x^2 + 2 ⋅ 5xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Multiply 2 by 5.
(2x − 5y) (4x^2 + 10xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Apply the product rule to 5y.
(2x − 5y) (4x^2 + 10xy + 52y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Raise 5 to the power of 2.
(2x − 5y) (4x^2 + 10xy + 25y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Cancel the common factor of 4x^2 + 10xy + 25y^2.
((2x − 5y)/(2x + 5y)^3) (4x^2 + 20xy + 25y^2)
Multiply
(2x − 5y) (4x^2 + 20xy + 25y^2)/ (2x + 5y)^3
Factor using the perfect square rule.
Rewrite 4x^2 as (2x)^2.
(2x − 5y) ((2x)^2 + 20xy + 25y^2)/ (2x + 5y)^3
Rewrite 25y^2 as (5y)^2.
(2x − 5y) ((2x)^2 + 20xy + (5y)^2)/ (2x + 5y)^3
Check that the middle term is two times the product of the numbers being squared in the first
term and third term.
20xy = 2 ⋅ (2x) ⋅ (5y)
Rewrite the polynomial.
(2x − 5y) ((2x)2 + 2 ⋅ (2x) ⋅ (5y) + (5y)2)/(2x + 5y)^3
Factor using the perfect square trinomial rule a^2 + 2ab + b^2 = (a + b)^2, where a = 2x and b = 5y.
(2x − 5y) (2x + 5y)^2/ (2x + 5y)^3
Cancel the common factor of (2x + 5y)^2 and (2x + 5y)^3.
Factor (2x + 5y)^2 out of (2x − 5y) (2x + 5y)^2.
(2x + 5y)^2 (2x − 5y) / (2x + 5y)^3
Cancel the common factors.
2x − 5y / 2x + 5y
Answer:
This may be wrong but: (2x - 5y) ((2x)^2 + 10xy + (5y)^2) over (2x + 5y) (4x^2 + 10xy + 25y^2)
Step-by-step explanation:
Can y’all plz help me with this
Answer:
If I did my math right it should be 10.20
Step-by-step explanation:
-78.55 + 128.75 = 50.2
50.2 - 40 = 10.2
And then obviously just add the zero at the end bc its money
hi someone please help this is really urgent !!!
picture is attached pls help <3
Answer:
it can be answer that it could be posstive
Subtract 5x−2 from −3x+4 .
−8x+6
2x + 2
−8x+2
8x−6
Answer:
-8x+2
Step-by-step explanation:
i got a 100 on this test
Can someone help (8 grade math)
Answer:
B) 110.92 u²
Step-by-step explanation:
to find the surface area, find the area of each side and add them together.
here are all 6 sides:
4.5 * 6.8
4.5 * 6.8
4.5 * 2.2
4.5 * 2.2
2.2 * 6.8
2.2 * 6.8
4.5 * 6.8 = 30.6
4.5 * 6.8 = 30.6
4.5 * 2.2 = 9.9
4.5 * 2.2 = 9.9
2.2 * 6.8 = 14.96
2.2 * 6.8 = 14.96
30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96
110.92
The scatter plot below shows the relationship between hours spent on video games and hours spent on homework last week for students in Ginny's class.
Which of the following is the best estimate of the average change in homework time that was associated with a 1-hour increase in time spent on video games?
Answer:
-4/3 hrs
Step-by-step explanation:
trust me I just got it right ;)
The hour change rate is [tex]-\frac{4}{3}[/tex]
What is scatter plot?'A scatter plot uses dots to represent values for two different numeric variables.'
According to the given problem,
Since the data shows mostly a linear trend, we can draw a line to estimate the rate of change.
The line approximately goes through (0,23) and (12,7).
Using the slope formula,
m = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]
Substituting the respective values,
m = [tex]\frac{7-23}{12-0}[/tex]
m = [tex]-\frac{4}{3}[/tex]
Hence, we can conclude that each additional hour spent on video games is associated with approximately a [tex]-\frac{4}{3}[/tex] hour change in time spent on homework on average.
Learn more about Scatter Plots here:
https://brainly.com/question/25280625
#SPJ2
Tran has a coin jar that contains nickels, dimes, and quarters. There are 185 coins in the jar. There are 5 more dimes than quarters. If the total value of the coins in the jar is $25.25 how many quarters does the jar contain?
Answer:
[tex]63[/tex]
Step-by-step explanation:
Let number of nickels be [tex]x[/tex]
Number of dimes be [tex]y[/tex]
Number of quarters be [tex]z[/tex]
Total number of coins is [tex]185[/tex]
[tex]x+y+z=185[/tex]
Number of dimes is 5 more than quarters
[tex]y=5+z[/tex]
[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]
Amount of money in the jar is $25.25
[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]
[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]
[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]
[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]
So, the number of quarters is [tex]63[/tex].
Answer:
63 is the correct answer :)
Step-by-step explanation:
Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate pane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V2 and the aquarium in Kate's sitting room.
A. 1 units
B. √101
C. √221
D. 11 units
Answer:
V2 has more room than the Aquarium.
Step-by-step explanation:
Part A
Recall the function V that you wrote in Question 1 to represent the volume of the soil in the frame. Choose an online tool or paper to graph the
function V to identify the x-intercepts. List them in order from least to greatest.
Answer:
4321
Step-by-step explanation:
rreer5t66
Please help me with this question!!
Step-by-step explanation:
according to pythagoras theorem
Hypotenuse2 = Perpendicular2 + Base2
c2 = a2 + b2
therefore,
x2 = (4)2 + (4)2
x2 = 16 + 16
x2 = 32
x = √32
hence, x = 4√2
Who's taking geometry and can help me?
De un bote con 180 caramelos Laura se ha comido una decima parte, Marta una novena parte y Cristina una quinta parte. De lo que queda, Juan se ha comido la mitad. ¿ Cuantos caramelos quedan?
Answer:
53 caramelos
Step-by-step explanation:
El número total de caramelos en el frasco = 180 caramelos
Para Laura
Laura se ha comido la décima parte de un frasco
1/10 × 180 caramelos = 18 caramelos
Por Marta
Marta una novena
1/9 × 180 = 20 caramelos
Por Cristina
Cristina una quinta.
1/5 × 180 = 36 caramelos.
De lo que queda, Juan se ha comido la mitad.
La cantidad de caramelos que quedan se calcula como:
180 - (18 + 20 + 36)
= 180 - 74
La cantidad de caramelos que quedan = 106 caramelos
Para juan
De lo que queda, Juan se ha comido la mitad.
= 1/2 × 106
= 53 caramelos
¿Cuántos dulces quedan?
= 106 caramelos - 53 caramelos
= 53 caramelos
Por tanto, quedan 53 caramelos.
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
Answer:
The description of the rotation is 180 degrees clockwise or counterclockwise rotation
Step-by-step explanation:
Here, we want to get the kind of rotation that maps the triangle into its new coordinates
we have this as;
(x,y) to (-x, -y)
that will be ;
a 180 degrees rotation or counter clockwise rotation
180 rotation so A
Step-by-step explanation:
A 50-question test contains 20 true-or-false questions. The rest are multiple-choice. What is the ratio of true-or-false to multiple-choice questions? plz help me
Answer:
The ratio is 20:30, or 2:3 in simplest form
Plzzzzz give me Brainliest!
Answer:
2/5 or 40%
Step-by-step explanation:
20 out of fifty is hard so make it 40 out of 100 and it's easy 40%
In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?
Answer:
44
Step-by-step explanation:
Number who use balls only = 7 / 20
Number who use rings only = 3/7
Fraction who use both :
1 - (7/20 + 3/7)
1 - 0.7785714
= 0.2214285
If number of jugglers is less than 200
Number of jugglers who use both :
0.2214285 * 200
= 44.285714
Number of jugglers who use both should be about 44
I NEED HELP PLEASE !!!
Answer:
The first choice
Step-by-step explanation:
Perpendicular lines intersect to form right angles, like the x- and y-axis on a coordinate plane.
Answer:
option 1 or A
Step-by-step explanation:
it is the definition of perpendicular lines
Which table represents a nonlinear function?
Answer: c
Step-by-step explanation:
solve 6 (3x/2-4) =30
[tex]x = - \frac{10}{3} [/tex]
EXPLANATION[tex] - 9x = 30[/tex]
[tex]9x = - 30[/tex]
[tex]x = - \frac{10}{3} [/tex]
HopeItHelps you
(1) Logan has 6 pounds of paste. Each time he makes dinner he uses 34 pound of
pasta. How many dinners can he make
8 dinner
SHDHSB SSHD EUDXD EJDJXJEX SJDJWIDIJDWN SSHWIJJSJ
Step-by-step explanation:
XJDUXIDB DUDUU
HELPPP what is 2x - 5 by the Square root of 9
plz help me or dont lol
Answer:
x = 8
Step-by-step explanation:
:)
Answer:
8
Step-by-step explanation:
I believe one of the rules of angles states that angle (4x-6) = angle (7x-30).
so 4x-6 = 7x-30
moving like terms together,
7x-4x = -6 + 30
3x = 24
x = 24/3
x = 8
Need Help Please answer and Find the measure of the exterior angle of the triangle.
Answer:
20
Step-by-step explanation:
Answer:
y°=70
Step-by-step explanation:
the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°
this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°
so y°=70°
you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle
The line L passes through the points (0, –2) and (6, 1).
Find an equation of the line L.
Answer:
an equation of the line L will be: y = 1/2x - 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(0, -2)(6, 1)Determining the slope between (0, -2) and (6, 1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]
[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]
[tex]m=\frac{1}{2}[/tex]
The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the point (0, -2), we can determine that at x = 0, the value of y = -2.
Thus,
The y-intercept b = -2
now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation
y = mx+b
y = 1/2x + -2
y = 1/2x - 2
Therefore, an equation of the line L will be: y = 1/2x - 2
Help i cant figure this equation out 9x-7i 3(3x-7u)
Answer:
49i^3u−21i^3x+9x
Step-by-step explanation:
2 4/10 + 3 5/8 = what does it equal
which of the following is geometric sequence?
Answer:
Choice C
Step-by-step explanation:
A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.
Choice A:
[tex]1^{+3},4^{+1},5^{+4},9^{+5},14[/tex]
Nope that's not what we're looking for.
Choice B:
[tex]3^{+3},6^{+3},9^{+3},12^{+3},15[/tex]
This would be a perfect arithmetic sequence but not the type of sequence we are looking for.
Choice C:
[tex]6^{*3},18^{*3},54^{*3},162[/tex]
Yes! See how this one is multiplying by 3 and not adding or subtracting.
Choice D:
[tex]3^{+2},5^{+3},8^{+5},13^{+7},21[/tex]
Nope this is not it either.
A basketball costs $15.00. If the sales tax is 6%, which equation can be used to find the amount of tax?
Answer:
Tax amount = $15.00 x 0.06 =0.9
Total amount of the basketball = $15.00 x 1.06 = $15.90
Answer:
Tax amount = $15.00 x 0.06 =0.9Total amount of the basketball = $15.00 x 1.06 = $15.90
Step-by-step explanation:
REALLY EASY MATHS QUESTION PLS HELP
(I think it easy lol)
Answer:
no.2 no.5
Step-by-step explanation:
i don't know how to explain
have a good rest of your day
Answer:
question (1) c^2=a^2+b^2
Step-by-step explanation:
pythagoras theorem
Solve for y: 2x^2+2y=4x+2x^2-7. Show your work
Answer:
y = 2x - 3.5
Step-by-step explanation:
2x² + 2y = 4x + 2x² - 7
2y = 4x + 2x² - 7 - 2x²
2y = 4x - 7
y = (4x - 7) / 2
y = 2x - 3.5
2x² + 2y = 4x + 2x² - 7
4x + 2y = 4x + 2x² - 7
4x + 2y = 4x + 4x - 7
4x+2y=8x-7
2y = 4x - 7
A multiple choice quiz has two questions , each with five answer choices. Only one choice is correct. Find the probability of answering two questions correctly,
. Show work
Answer:
1/25 to get both correct
Step-by-step explanation:
So the probability of getting one choice correct is 1/5
Since 5 choices 1 is correct
now we have to get 2 in a row correct so
1/5*1/5=1/25
