Answers
[tex] \frac{3}{y-2} =8[/tex]
Multiply each side by (y - 2).
[tex](y-2).( \frac{3}{y-2)}) = 8(y-2) [/tex]
Note that (y-2) in the numerator and denominator cancel out on the left side.
Therefore
3 = 8(y - 2)
3 = 8y - 16
Add 16 to each side.
3 + 16 = 8y - 16 + 16
19 = 8y
Divideach side by 8.
19/8 = y
Answer: [tex]y= \frac{19}{8} [/tex]
Related Questions
A rectangular prism has a length of 3/4 cubic inch and a width of 1/2 inch. The volume is 21/32 cubic inch. Find the height of the prism. Write your answer as a mixed number in simplest form.
Answers
21 / 32 = (3 / 8) * height
21 / 32 * (3 / 8) = height =
63 / 256 inches
Answer:
[tex]\texttt{Height of the prism}=1\frac{3}{4}[/tex]
Step-by-step explanation:
Volume of rectangular prism = Length x Width x Height
[tex]\texttt{Volume of rectangular prism =}\frac{21}{32}\\\\\texttt{Length =}\frac{3}{4}\\\\\texttt{Breadth =}\frac{1}{2}[/tex]
Substituting
[tex]\frac{21}{32}=\frac{3}{4}\times \frac{1}{2}\times h\\\\h=\frac{7}{4}=\frac{4+3}{4}=1\frac{3}{4}[/tex]
[tex]\texttt{Height of the prism}=1\frac{3}{4}[/tex]
Consider the equation 2x-3(2x-1)=3-4x. solve the equation for x. for each step, identity the property used to write an equivalent equation.
Answers
2x - 6x + 3 = 3 - 4x
Now, simplify.
-4x + 3 = - 4x
Cancel out the double "4x"
3 = 3
Since both side have an equal answer, there in an infinite number of answers.
Hope this helps! ☺♥
How to write three times the difference of two times m and five is equal to eight times m to the second power increased by four in a problem?
Answers
What is the best approximation for the measure of angle ABC?
Answers
cos(x) = 0.525
answer
C.
x = 58.3"
Simplify 4x2(2x2− 8x + 6). 8x2− 32x + 24 6x2− 32x + 24 6 − 32x + 24x2 8x4− 32x3+ 24x2
Answers
(4*3)(x^(2+2))+(4*-8)(x^(2+1))+(4*6)(x^(2+0))
12x^4-32x^3+24x^2
What is 334.54 + 198 grams
Answers
hope this helps
Question: Is this a significant figures question?
ANSWER round to the significant figures: 533 grams
When you do addition you use the number with the least number of decimals places to determine how many decimal places will be in your answer. There are no decimal places in 198 so you would round before the decimal place in the answer (ones place).
Leena knits 10 rows in 12 min. At this pace, how long will it take her to knit the next 25 rows? Enter your answer in the box. min
Answers
10 rows = 12 mins
10 rows = 12 mins
5 rows = 6 mins
----- -----
25rows 30 mins
5r=6m
25r=?m
25r=30m
It will take her 30 minutes to knit 25 rows
A warehouse is packing materials to ship out to a customer. A small box has the dimensions of x inches, (x+ 2) inches and (2x) inches. Where x is the length in inches of width. A large box has the dimensions of (x+5) inches, (x + 7) inches and (3x) inches.
*Recall that Volume = (Length)(Width)(Height)
Part 1: Write an expression that represents the dimensions of the small box.
Part 2: Write an expression that represents the dimensions of the large box.
Part 3: What is the difference in the volumes of the two boxes? Show or explain or work.
Answers
I ended up finding the first 2
vsmall=x(x+2)(2x)
vlarge=(x+5)(x+7)(3x)
I found those on answers . com
V=volume...
I just need #3
1. The expression that represents the dimensions of the small box is (2x³ + 4x²).
2. The expression that represents the dimensions of the large box is (3x³ + 36x² + 105x).
3. The difference in the volumes of the two boxes is (x³ + 32x² + 105x)
What is the volume of the box?1.
Small box:
x inches,
(x+ 2) inches and
(2x) inches
Volume = length × width × height
= x × (x + 2) × (2x)
= (x² + 2x) × 2x
= 2x³ + 4x²
2.
Large box:
(x+5) inches,
(x + 7) inches and
(3x) inches.
Volume = length × width × height
= (x + 5) × (x + 7) × (3x)
= 3x³ + 36x² + 105x
4.
Difference in volume = Large box - Small box
= (3x³ + 36x² + 105x) - (2x³ + 4x²)
= 3x³ + 36x² + 105x - 2x³ - 4x²
= x³ + 32x² + 105x
Therefore, x³ + 32x² + 105x is the expression which represents the volume of the box.
Read more on volume of a box:
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A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which expression can be used to find the total cost of the meal with the gratuity?
Answers
Answer: the answer is 1.18p
Step-by-step explanation:
It is trust me (;
Se implicit differentiation to find an equation of the tangent line to the curve at the given point.7x2 + xy + 7y2 = 15, (1, 1) (ellipse)
Answers
(xy+14y)|dy/dx = -14x
dy/dx = -14x /(xy+14y)
dy/dx |(x=1,y=1) : -14(1) / (1+14) = -14/15
using
y-y1=/x-x1 = -14/15
y-1/x-1 = -14/15
15y-15 = -14x+14
15y+14x -15-14=0
14x +15y = 29
Solve for x: −3 |x + 7| = −12
Answers
then you get |x + 7| = 4
what you do now is make two separate equations
drop the absolute value signs
x + 7 = 4 OR x + 7 = -4
subtract 7 from both sides AND BOTH EQUATIONS
x = -3 OR x = -11
lets check it!
-3 |-3 + 7| = -12 -3 |-11 + 7| = -12
-3 |4| = -12 -3 |-4| = -12
-3 (4) = -12 -3 (4) = -12
yep! your answers are x = -3 OR x = -11
i hope this helps!!
One number is 4 less than a second number. twice the second number is 19 less than 5 times the first. find the two numbers.
Answers
A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak.
Answers
A= value of the first term
n= the number of the term you want to find
r= common ratio
value of r is = 2/3 because 27 times 2/3 = 18 which is the second term
n = 4 since you want to find the 4th term in the sequence
Plug it in and results are
4th term = 27(2/3)^(4-1) = 8
The answer is 8
Hope this helps!
[tex]a_n=a_{n-1}-\frac{a_{n-1}}{3}[/tex]
Here:
[tex]a_4=a_3-\frac{a_3}{3}=12-\frac{12}{3}=12-4=8[/tex]
What is the slope of this graph?
Answers
Now, on the line, I plotted (0, 2) and (-2, 10).
You would now plug this into the rise/run formula.
The formula is [tex] \frac{y2 - y1}{x2 - x1} [/tex]
The equation would become,
[tex] \frac{10 - 2}{-2 - 0} [/tex] = [tex] \frac{8}{-2} [/tex] = -4
I believe the answer would be -4.
I hope this helps!
What is the square root of 53 rounded to the nearest hundreth
Answers
7.28010988928
Thomas paid $5 for a multicolor file folders. There were 100 folders in the box .what was the cost of each folder?
Answers
5/100 = $0.05
Therefore, the cost of each folder was $0.05
Hope I helped :)
0.05
:))
A right triangle has one angle that mesures 23. The adjacent leg measures 27.6 cm and the hypotenuse measures 30cm.
What is the approximate area of triangle? Round to the nearest tenth
Area of the triangle =1/2bh
A:68.7cm^2
B.161.7cm^2
c.381.3cm^2
D450.cm^2
Answers
tangent (23) = opposite/adjacent (TOA), where opposite is altitude and adjacent is base
So tangent (23) = alt/27.6cm
alt = 27.6×tan23 = 27.6×0.424
alt = 11.72cm
So now area = 1/2 (b)(h), where h=alt
area = 1/2 (27.6cm)(11.72cm) = 161.7cm^2
[tex] 161.7{cm}^{2} [/tex]
So the correct answer is [B.]
Square tiles 9-inches on a side cover the floor of a rectangular room exactly. the border tiles are white and all other tiles are blue. the room measures 18 feet by 15 feet. how many tiles are white
Answers
18 ft × (12in/1ft)= 216 in
15 ft × (12 in/1ft)= 180 in
divide each side of the room by 9 inches to get number of white tiles per a wall
wall 1(18ft): 216in/9in= 24 white tiles
wall 2(15ft): 180in/9in= 20 white tiles
wall 3(18ft): 216in/9in= 24 white tiles
wall 4(15ft): 180in/9in= 20 white tiles
Lastly, add up all the white tiles and subtract 4 (the tiles that we counted twice because they were the corner tiles and touched both walls)
24+20+24+20-4= 84 white tiles total
True or False: Is the number 2 a solution to 7≥−3k
I'm not sure about this. Please explain
Answers
Sandy bought a soft drink for 2 dollars and 6 candy bars. she spent a total of 20 dollars. how much did each candy bar cost
Answers
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y = eight divided by x squared + 2
Answers
How many 1/3 pound paperback books together weigh 25 pounds?
Answers
We can find the quantity of 1/3 pound paperback books that weigh a total of 25 pounds by performing the calculation, 25 ÷ 1/3 or equivalently, 25 x 3, which equals 75. Therefore, we would need 75 of these books to total 25 pounds.
Explanation:To find out how many 1/3
pound
paperback
books weigh a total of 25 pounds, we use division. Since each book weighs 1/3 of a pound, we divide the total weight we want (25 pounds) by the weight of each individual book (1/3 pound). So, our calculation would look like this:
25 ÷ 1/3
. In mathematics, dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of 1/3 is 3/1, or just 3. So, our calculation is now:
25 x 3
. Multiplying 25 by 3 gives us 75. So, we would need
75
of these paperback books to
weigh
a total of 25 pounds.
Learn more about Calculating quantities here:https://brainly.com/question/32195961
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When matter changes state, what two things are always conserved?
Answers
In a change of state, mass and energy are the two things that are always conserved, in accordance with the law of conservation of matter and the first law of thermodynamics, respectively.
When matter changes state, the two things that are always conserved are mass and energy. This is explained by the law of conservation of matter, which states that the total mass of the products must equal the total mass of the reactants in a chemical reaction, and the law of conservation of energy, often referred to as the first law of thermodynamics.
In any given closed system, neither mass nor energy is created or destroyed, but can be transformed from one form to another. For example, when a substance burns, its matter is not lost but is instead transformed into other substances with the same total mass. Likewise, energy can be moved or transformed, but the total amount of energy remains constant. These principles apply to both living and non-living systems, keeping the total quantity of matter and energy fixed in the universe.
The exchange rate is £1 = €1.12 how many £ would I get for €336
Answers
so 336€ = 336/1.12£ = 300£
If EG=25 and point F is 2/5 of the way between E and G, find the value FG. The drawing is not to scale.
a. 12.5
b. 10
c. 20
d. 15
d. 7
Answers
This can be done by multiplying the two numbers.
2/5 × 25 = 10
10 is the distance from E to F.
So now that you have EF and know the overall length of EG (25), you can easily find FG.
25 - 10 = 15
The answer is:
d. 15
If 3^2x+1=81, what is the value of x?
x=1/4
x=1/2
x=3/2
x=2/3
Answers
3^(something)=81
3^4=81. I know this because 3X3X3X3=81
If I know 3^4=81, then I need to find a solution to get 4 for my exponent.
Let's solve.
2x+1=4
2x=3
x=3/2
write in graphing form please! A parabola that opens down with no stretch factor that has a vertex of (-6,5)
Answers
(x+6)^2 + 5
Hope this helps!
1) Which statement about 5y = 2x is true?
A) The equation represents a direction variation whose consent of variations is 5/2.
B) The equation represents a direct variation whose consent of variations is 2/5.
C) The equation does not represent a direction variation.
D) The equation does not represent a line through the origin.
2) What is the equation of the graph of y = |x| shifted 3 units up?
A) y = |x| – 3
B) y = |x| + 3
C) y = |x + 3|
D) y = |x – 3|
3) Two parallel lines form an inconsistent system of equations that has no solution.
True
or
False
Answer all and Show or Explain your answer :)
Answers
2) B f(x) + k is a vertical shift up k units
3) True Because parallel lines have the same slope and different y - intercepts they do not touch thus called inconsistent. Since they do not touch they will not have a solution.
The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3 cm/s. when the length is 20 cm and the width is 10cm, how fast is the area of the rectangle increasing
Answers
b = breadth of the rectangle,
a = area of the rectangle,
t = time,
So, [tex] \frac{dl}{dt} [/tex] = 8 cm/s &
[tex] \frac{dw}{dt} [/tex] = 3 cm/s
Area of the rectangle, a = l × w
Differentiate the equation with respect to t,
[tex] \frac{da}{dt} [/tex] = l × [tex] \frac{dw}{dt} [/tex] + w × [tex] \frac{dl}{dt} [/tex]
[tex] \frac{da}{dt} [/tex] = 20 × 3 + 10 × 8
[tex] \frac{da}{dt} [/tex] = 60 + 80
[tex] \frac{da}{dt} [/tex] = 140 [tex] cm^{2} [/tex]/s
Therefore, the correct answer is 140 [tex] cm^{2} [/tex]/s.
dl/dt = 8 (rate of length increasing)
dw/dt = 3 (rate of width increasing)
l = 20 (when the length is 20)
w = 10 (when the width is 10)
The unknown is dA/dt (the rate the area is increasing)
Start with the formula for the area of a rectangle
A = w*l
Find the derivative of it
d/dt(A) = d/dt(w*l) Use the multiplication rule
dA/dt = w(dl/dt) + l(dw/dt)
Substitute in what is known from above
dA/dt = 10(8) + 20(3) = 80+60 = 140
The area is increasing 140 square centimeters per second
PLEASE HELP!!! Will give brainliest!
Answers
Hope this helps!