Answer:
See below.
Step-by-step explanation:
[tex]\frac{u-x}{v-x}=\frac{u}{v^2} \\[/tex]
Cross multiply and distribute.
[tex]u(v-x)=v^2(u-x)\\uv-ux=uv^2-xv^2[/tex]
Move all the u to the left side:
[tex]uv-ux-uv^2=-xv^2[/tex]
Factor out a u:
[tex]u(v-x-v^2)=-xv^2[/tex]
Divide:
[tex]u=\frac{-xv^2}{v-x-v^2}=\frac{xv^2}{x+v^2-v}[/tex]
(I factored out a negative in the second term.)
maggie’s brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie
Answer:
I HOPE IT WILL WORK
Step-by-step explanation:
let age of Maggie =x years
as given that Maggie brother is 3 year less than twice of her age
hence
brother = (2x-3) years
also given that sum of ages =24
hence
x+(2x-3)=24
3 x-3=24
3 x=27
x=9 years Maggie
so his brother=9-3=6 years
pls hit the star and brainlist it if you found it helpfull thanks
What set of number does the following number belongs to? (1.1A.1a) -√5
Answer:
irrational
Step-by-step explanation:
See the image for a Venn diagram illustrating relationships among the various subsets of real numbers.
I am on a farm with pigs and horses. The ratio of pigs to horses is 4:1. The ratio of adult pigs to piglets is 1:5. The ratio of adult horse to foal is 3:1. What fraction of the farm are babies (foals and piglets)?
Answer:
EAT THIS ANDAD Which polynomial has (3x + 2) as a binomial factor?
6x3 + 3x2 + 4x + 2
12x2 + 15x + 8x + 10
18x3 – 12x2 + 9x – 6
21x4 + 7x3 + 6x + 2
Step-by-step explanation:
A rectangle has an area of 16x + 24. What could the length and width of the rectangle be?
a. 2 and 8x + 12
b. 2x and 20
c. 4 and 10x
d. 8x and 2 + 3x
Answer:
a. 2 and 8x + 12
Step-by-step explanation:
16x + 24
Factor out 2
2(8x+12)
Area is length times width
2 * (8x+12)
Answer: a. 2 and 8x + 12
Step-by-step explanation:
Area of a rectangle is length times width.
(2)(8x+12) = 16x + 24
What is the image of the point (-1,3) after a rotation of 270° counterclockwise
about the origin?
Answer:
3,-1
Step-by-step explanation:
The image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).
The given coordinate point is (-1, 3).
What is a rotation of 270° counterclockwise about the origin?When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.
The point (-1, 3) is rotated 270° counterclockwise about the origin becomes (3, -1).
Therefore, the image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).
To learn more about the rotation of 270° counterclockwise visit:
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Simplify -1-7 +41. N
Answer:
-3
Step-by-step explanation:
-7+4=-3
The absolute value of -3 is 3
The negative sign in front of the absolute value bracket makes it -3
Will has 2 quarters, 6 dimes, some nickels, and 4 pennies. If the ratio of pennies to the total number of coins he has is 1:5, how many nickels are there?
Answer:
8 nickels
Step-by-step explanation:
Let n be the number of nickels.
4: (2+ 6 + 4 + n) = 1:5
4÷(12 + n) = 1÷5
4 x 5 = 1 x (12 + n)
20 = 12 + n
n = 8
One week, Daniel earned $554.30 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $939.90?
Answer:
39 hours
Step-by-step explanation:
First, let's find the rate of money per hour:
$554.30 / 23 hour
= $24.1 / 1 hour
Daniel earns $24.10 every hour he works.
To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:
$939.90 / 24.10
= 39
Now, we can check:
$24.10 * 39
= $939.90
Hope this helps! Please tell me if I was incorrect!
The product of twice a number and four is the same as the difference of seven times the number and 5/3
Answer:
2N÷4=7N-5/3
Hope this helps!
Divide a 7-inch line into three parts so that each part is 1 inch longer than one before it.
Answer:
Hey there!
We can write an equation:
x+x+1+x+2=7
3x+3=7
3x+4
x=4/3
The lines are 4/3, 7/3, and 10/3.
Let me know if this helps :)
Use Euclid’s Ladder (or a factor tree) to write the prime factorization.
1. 64
2. 100
3. 54
Answer:
64
Step-by-step explanation:
the answer is 64 hope this helps
need help will give you a good rating us
Answer:
[tex]\boxed{2\pm \frac{\sqrt{2}}{2}}[/tex]
Step-by-step explanation:
[tex]2x^2-8x=-7[/tex]
[tex]\sf Add \ 7 \ on \ both \ sides}.[/tex]
[tex]2x^2-8x+7=-7+7[/tex]
[tex]2x^2-8x+7=0[/tex]
[tex]ax^2 +bx+c=0[/tex]
[tex]\sf Apply \ quadratic \ formula.[/tex]
[tex]a=2 \ \ \ b=-8 \ \ \ c = 7[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-(-8)\pm\sqrt{(-8)^2-4(2)(7)}}{2(2)}[/tex]
[tex]x=\frac{8\pm\sqrt{64-56}}{4}[/tex]
[tex]x=\frac{8\pm\sqrt{8}}{4}[/tex]
[tex]x=\frac{8\pm2\sqrt{2}}{4}[/tex]
[tex]x=2\pm \frac{\sqrt{2}}{2}[/tex]
It says to find the area of the shaded square, but I not sure how to get the answer.
Answer:
68 square cm
Step-by-step explanation:
Interior square WXYZ is making four right triangles of equal bases (8 cm) and heights (2 cm) inside the square ABCD. Therefore,
Area of shaded Square = Area of square ABCD - 4 times area of one right triangle.
[tex] = {10}^{2} - 4 \times \frac{1}{2} \times 8 \times 2 \\ = 100 - 32 \\ = 68 \: {cm}^{2} [/tex]
12. Classify the following number. (Select all that apply)
*
5/3
Natural
Whole
Integer
Rational
Irrational
Answer:
rational is the answer....
HELP....PLEASE,USE GEOMETRY!
Answer:
18[tex]\pi[/tex]
Step-by-step explanation:
area of the "left most" side disk would be [tex]\pi r^{2}[/tex] = 9[tex]\pi[/tex]
the height of the disk is = 2
thus the area would be 18[tex]\pi[/tex] units cubed
Answer:
56.55 units
Step-by-step explanation:
If we rotates this rectangle we will get a cylinder.
The base of this cylinder is a circle with a radius of 3 units (the high of the rectangle).
And the high of this cylinder is 2 units.
Volume of cylinder is given by the formula :
V= h.pi.r²
so V= 2×3.14×9
= 56.55 units
Determine the standard form of the equation of the line that passes through (-8, -6) and (-4, 9)
Answer:
15/4 x-y=-24
Step-by-step explanation:
the standard form is ax+by=c
two points (x1,x2) , (y2,y1)
x1=-8 x2=-6
y1=-4 y2=9
find slope m: y2-y1/x2-x1
m=9-(-6)/-4-(-8)
m=15/4
find b: take any point(-8,-6)
y=mx+b
-6=15/4 (-8)+b
-6=-30+b
b=-6+30
b=24
y=15/4 x+24
standard form: y-15/4x=24
OR : 15/4 x-y=-24
In the expression, 9x^3+4x^2+7x+6, what is the constant?
9
7
6
4
Answer:
6Step-by-step explanation:
Constant - any number that do not have a variable.Ex.: 6[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
An expression is defined as a set of numbers, variables, and mathematical operations. In the given expression 9x³+4x²+7x+6, the value of the constant is 6.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
In the given expression, 9x³+4x²+7x+6, the value of the constant is the value that does not have any variable with it.
Therefore, in the given expression 9x³+4x²+7x+6, the value of the constant is 6.
Learn more about Expression here:
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Please Explain step-by-step
An algebra class contains 30 students. Forty
percent of the students in the class are girls. How
many boys are in the class?
Answer:
algebra es muy buena materia
width of picture 7 3/5 cm. to fit in the frame the picture cannot be more than 7 3/10 cm. how much should the picture be trimmed
Answer:
1/5
Step-by-step explanation:
width of picture 7 3/5 cm. to fit in the frame the picture cannot be more than 7 3/10 cm. how much should the picture be trimmed
Given that :
Original Width of picture = 7 3/5 cm
Width required for picture to fit into frame=7 3/10
For picture to fit into frame:
(7 3/5 - 7 3/10) must be trimmed off from the frame.
(7 3/5 - 7 3/10)
(7 - 7) = 0
(3/5 - 3/10)
Taking the L. C. M
(6 - 3) / 10
= 2 / 10
= 1/5
THEREFORE, 1 / 5 of the width should be trimmed in other to ensure the picture fits into the frame.
Some time ago , Keith's height and his nephew's height were at a ratio of 15:7. Then, Keiths height increased by 16% and his nephew,s height doubled. Keith is now 34 cm taller than his nephew, what is their total current height
Answer:
The answer is below
Step-by-step explanation:
The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.
[tex]\frac{x}{y}=\frac{15}{7} \\x=\frac{15}{7}y[/tex]
Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x
The nephew height is doubled, therefore his new height is 2y.
Given that Keith is now 34 cm taller than his nephew
1.16x = 2y + 34
but x = (15/7)y
[tex]1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm[/tex]
The nephews new height = 2y = 2(70) = 140 cm
Keith new height = 2y + 34 = 140 + 34 = 174 cm
Their total current height = 140 cm + 174 cm = 314 cm
Earth is 9.3 X 10^(7)mi from the sun. Saturn is about 8.9 X 10^(8) from the sun. About how much farther from the sun is Saturn than earth ..
Answer:
797,000,000 miles
Step-by-step explanation:
Earth is 9.3 X 10^7 miles from the Sun. 9.3 X 10^7 = 93,000,000 miles
Saturn is 8.9 X 10^8 miles from the Sun. 8.9 X 10^8 = 890,000,000 miles
890,000,000 - 93,000,000 = 797,000,000 miles
You work for a small business that sells bicycles, tricycles, and tandem bikes Bicycles have one sear, two pedals, and two wheels. Tricycles have one seat, two pedals, and three wheels. Tandem bikes have two seats, four pedals, and two wheels. 1. On Monday you counted 50 tricycle wheels. How many tricycles were in the shop? Write an algebraic equation that shows the relationship between the number of wheels (w) and the number of tricycles (t). 2. On Wednesday there were no tandem bikes in the shop. There were only bicycles, and tricycles. There are a total of 24 seats and 61 wheels in the shop. How many bicycles and how many tricycles are in the shop. Show how you figured it out using algebra. 3. A month later, there are a different number of bicycles, tricycles tandem bikes in the shop. There are a total of 144 front steering handlebars, 378 pedals and 320 wheels. How many bicycles, tricycles, and tandem bikes are in the show? Explain your solution.
Answer:
Step-by-step explanation:
1- on Monday the number of tricycles: 51/3=17 or 48/3=16 ( can't be 50)
2-the algebraic equation is : t=w/3 ( t=tricycle, w: wheels)
3-On Wednesday: (b for bicycle and t=tricycle)
2b+3t=61
b+t=24 ⇒ b=24-t
solve by substitution:
2(24-t)+3t=61
48-2t+3t=61
t=61-48 ⇒ t=11
solve for b=24-t
b=24-11=13
t=11, b=134)t: tricycles, b for bicycles, n for tandem
t+b+n=144 ( each has one handlebar)⇒ t=144-b-n
2t+2b+4n ( for the pedales)
3t+2b+2n=320 ( for wheels)
solve by matrix or substitution: substitute t in the equations:
2t+2b+4n =378
3t+2b+2n=320
2(144-b-n)+2b+4n=378 ⇒ 288-2b-2n+2b+4n=378
3(144-b-n)+2b+2n=320 ⇒432-3b-3n+2b+2n=320
288-2b-2n+2b+4n=378
432-3b-3n+2b+2n=320
2n=378-288 ⇒ n=90/2=45
-b-n=320-432
-b-45=-112
-b=-112+45 ⇒ b=67
t=144-45-67= 32
b=67 , tricycle= 32 tandom= 45( answers in bold )Find the measure of b.
Answer:
b = 80°
Step-by-step explanation:
The inscribed angle measuring 100°, is supplementary to the angle opposite it in the inscribed quadrilateral.
Thus, the angle is = 80°
Therefore, b + 80° = 180° (angle on a straight line = 180°).
Thus, b = 180° - 80° = 100°.
The measure of b is 80°.
somebody please help me on this geometry!! it’s urgent i’ll mark you the brainliest
Answer:
XN = 6
Step-by-step explanation:
Given XY is an angle bisector then the ratio of the sides is equal to the corresponding ratio of the base, that is
[tex]\frac{AX}{XN}[/tex] = [tex]\frac{AY}{YN}[/tex] , substitute values
[tex]\frac{18}{XN}[/tex] = [tex]\frac{12}{4}[/tex] ( cross- multiply )
12XN = 72 ( divide both sides by 12 )
XN = 6
A recipe for peanut butter cookies calls for 1 cup of sugar, 1 cup of chunky peanut butter, and 1 medium egg. The recipe yields 18 cookies. If the baker has 12.5 cups of sugar, 15 cups of chunky peanut butter, and 10 eggs. How many full batches of cookies can the baker make
Answer:
10 batches - they only have 10 eggs, so they can't make any more batches without them
What is the range of the exponential function shown below?
f(x) = 2 •7*
A. All real numbers
B. y<0
C. All real numbers except 2
D. y> 0
Answer:
D
Step-by-step explanation:
your function is not very clear but I'm assuming it's 2 multiplied by 7^x
first let y be equal to the function
to find the range interchange x and y and make the subject
at some point you'll have to use logarithm to get rid of the exponent
only log of positive numbers numbers exist hence y must be greater than 0
Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).
Answer:
Step-by-step explanation:
Hope this Helps ;)
Simplified. 2c+2d+5d
Answer:
2c +7d
Step-by-step explanation:
2c+2d+5d
Combine like terms
2c + d(2+5)
2c +7d
Answer:
The simplified answer of this expression is 2c + 7d
Step-by-step explanation:
For this problem, you will have to combine like terms.
2c + 2d + 5d
Combine 2d and 5d.
2c + 7d
28. find the range…
please help!!!
Answer:
A
Step-by-step explanation:
lmao this problem is bullshit because the actual answer would be [2, 2] U (7, infty) but thats literally not there, so ig the closest one would be [2, infty) which is A
if it was asking for the domain on the other hand, then it would be B lmao
but I would go with A
if an equation is an identity how many solutions does it have?
Answer:
infinite solutions
Step-by-step explanation:
If we have and identity such as
3=3
Then we have infinite solutions since the identity is always true