Answer:
is there possibly a photo of the two storage units?
To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube: Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]
How to find the difference in volume of the two storage unitsTo find the difference in volume between two cube-shaped storage units, you'll need to know the side lengths of both cubes. The volume of a cube is given by [tex]V = s^3[/tex], where "V" is the volume, and "s" is the side length.
Let's say the side length of the first cube is "s1" and the side length of the second cube is "s2." Then, the volume of the first storage unit is [tex]V1 = s1^3,[/tex] and the volume of the second storage unit is V2 = [tex]s2^3.[/tex]
To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube:
Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]
This formula will give you the numerical value of the difference in volume between the two storage units. If you have specific side lengths for both cubes, you can substitute those values into the formula to calculate the exact difference in volume.
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What is blank divided by 9 equals 5
Answer:
45 divided by 9 equals 5
Step-by-step explanation:
Suppose you are choosing between two checking accounts. One account charges you $1.50 ATM
fee every time you withdraw money from a non-sponsored ATM, and the other charges you no
ATM fees and a $15 monthly fee.
How many ATM transactions are equivalent to $15 in monthly fees?
Answer:
10
Step-by-step explanation:
$15.00 / $1.50 = 10
-5x = -2x - 3
What dose x equal
Answer:1
Step-by-step explanation:
-5x=-2x-3
-5x+2x=-3
-3x=-3
X=1
Answer:
X=3/7
Step-by-step explanation:
if a car is 200 inches long, and the truck is 75% longer, how long is the truck
The measure of CDA is 113.42°. what is the value of x?
Factorize completely
81k^2 - m^2
81k^2 - m^2 factors to
(9k + m)(9k - m)
Prove this by FOILing.
First - 81k^2
Outer - (-9km)
Inner - 9km
Last - (-m^2)
Put it into equation form
81k^2 - 9km + 9km - m^2
And combine terms to get the original equation,
81k^2 - m^2.
⭐ Answered by Hyperrspace (Ace) ⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
(9k+m) X (9k - m)
Step-by-step explanation:
81[tex]k^{2}[/tex] - [tex]m^{2}[/tex]
= (9k)^2 - (m)^2 ( taking the square roots)
=(9k+m) (9k - m)
here we have applied the rules of a^2 - b^2 = ( a+b) ( a -b)
here 9k is taking as a and m is taking as b
thus you get your answer.
hope it helps.
a line passed through the point (8,9) and has a slope of -3/4. write an equation in slope intercept form.
Answer:
y = -3/4x + 3
Step-by-step explanation:
y - 9 = -3/4 (x-8)
y-9 = -3/4x -6
y = -3/4x - 6 + 9
y = -3/4x + 3
The equation of the line that passed through the point (8,9) and has a slope of -3/4 in slope-intercept form is [tex]y= -\frac{3}{4}x + 13[/tex]
The point-slope form of the equation of a line passing through the points (x₁, y₁) and with a slope m is given as:
y - y₁ = m(x - x₁)
For the line that passed through the point (8, 9) and has a slope of -3/4
x₁ = 8, y₁ = 9, and m = -3/4
Substitute these values into the equation y - y₁ = m(x - x₁)
[tex]y-9=\frac{-3}{4}(x - x_1)[/tex]
Express the equation above in the form y = mx + c
[tex]y-9=-\frac{3}{4}(x - 8)\\\\y-9= -\frac{3}{4}x + 6\\\\y= -\frac{3}{4}x + 6+9\\\\y= -\frac{3}{4}x + 13[/tex]
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michael breeds chicken and ducks
last month he sold 50 chickens and 30 ducks for $550. this month he sold 44 chicken's and 36 ducks for $532.
how much Does a chicken cost and how much does a duck cost?
Answer:
cost of a chicken $7.25
cost of a duck $4.25
Step-by-step explanation:
Let c represent chickens and d represent ducks
50 chicken + 3 ducks = $550 ➡ 50c + 30d = $550
44 chicken + 36 ducks = $532 ➡ 44c + 36d = $532
Now find the difference of equations
(50c + 30d) - (44c + 36d) = $550 - $532
6c - 6d = $18
6×(c-d) = $18 divide both sides by 6
c - d = $3 Now we can use this information to find the cost of a chicken and duck
50c + 30d = $550
c - d = $3 multiply second equation by 30
30 × (c-d) = $3 ➡30c - 30d = $30
Now add this new equation we found to the very first equation
30c - 30d + 50c + 30d = $550 + $30 (-30d will eliminate 30d)
80c = $580 divide both sides of the equation by 80
c = $7.25
We know that c - d = 3 so now replace c by $7.25 the price we just found
$7.25 - d = $3
$7.25 - $3 = d
$4.25 = d
-4x-2y=-12 4x+8y=-24
Answer:
[tex]x=6\\ \\y=-6[/tex]
Step-by-step explanation:
Given the system of two equations:
[tex]\left\{\begin{array}{l}-4x-2y=-12\\ \\4x+8y=-24\end{array}\right.[/tex]
Add these two equations (left side add to left side and right side add to right side):
[tex]-4x-2y+4x+8y=-12+(-24)\\ \\-2y+8y=-12-24\\ \\6y=-36\\ \\y=-6[/tex]
Substitute [tex]y=-6[/tex] into the first equation:
[tex]-4x-2\cdot (-6)=-12\\ \\-4x+12=-12\\ \\-4x=-12-12\\ \\-4x=-24\\ \\x=6[/tex]
Oh the other side of the balance is 4 oz and another 4 oz and on the other side is 8 oz. <— To help you find out the answer. Please I’d like some help?
If bob washed the car in 6 minutes and jack washed it in 8 minutes how long did it take them together
Answer:
14 minutes
Step-by-step explanation:
8 + 6 = 14
Albert $1000 earned 1.2% annual interest compounded monthly
$500 lost 2% over the course of the 10 years
$500 grew compounded continuously at rate of 0.8% annually
What is the balance of Albert’s $2000 after 10 years?
Answer:
$2159.07
Step-by-step explanation:
The compound interest formula is used to find the balance for the $1000 investment:
A = P(1 +r/n)^(nt)
A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43
__
For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...
A = 500(1 -.02) = 490.00
__
The continuous compounding formula is used for the second $500 investment.
A = Pe^(rt)
A = 500e^(.008·10) = 500e^.08 = 541.64
__
The total value of Albert's investments is ...
$1127.43 +490 +541.64 = $2159.07
Write a word problem that can be solved by dividing 10 by 2/3 include the answer to the problem
Answer:
Step-by-step explanation:
you need to divide 10 by 2/3.
Katty has 10/1 tanks of gas fuel in his truck. He uses 2/3 of it each day.
Answer this question please. I need help!!☺️
Step-by-step explanation:
From the looks of it, it seems that you're factoring out the greatest common factor. I gotcha covered.
The square boxes are the biggest common factors in those equations. Hopefully, this helps!
Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The speed of one of the planes was 200 km/hour slower than the speed of the other plane, and so it arrived at its destination 1.5 hours after the faster plane. Find the speeds of both planes.
Answer: The speed of the faster lane is 800 km/hour and the slower plane is 600 km/hour
Step-by-step explanation:
The speed of the faster plane is 800 km/h and the speed of the slower plane is 600 km/h.
The given parameters:
Distance traveled by both planes, d = 3600 km
Let the speed of the faster plane = vThe speed of the slower plane, u = v - 200 km/hLet the time taken for the faster plane = t hoursTime taken for the slower plane to arrive = t + 1.5 hours
The distance traveled by both planes is the same;
d = u(t + 1.5) ---(1)
d = (v - 200) (t + 1.5)
3600 = vt + 1.5v - 200t - 300
d = vt ----(2)
3600 = vt
[tex]v = \frac{3600}{t}[/tex]
[tex]3600 = \frac{3600}{t} t \ +\ 1.5 (\frac{3600}{t} ) \ - \ 200 t - 300\\\\3600 = 3600 + \frac{5400}{t} - 200t - 300\\\\300 = \frac{5400}{t} - 200t\\\\300t = 5400 - 200t^2\\\\200t^2 +300t - 5400 = 0\\\\2t^2 + 3t- 54= 0\\\\(2t - 9)(t + 6)= 0\\\\t = 4.5 \ \ or \ \ -6 \ \\\\t = 4.5 \ hours[/tex]
The speed of the faster plane is calculated as;
[tex]v = \frac{3600}{t} \\\\v = \frac{3600}{4.5} \\\\v = 800 \ km/h[/tex]
The speed of the slower plane is calculated as follows;
[tex]u = v- 200\\\\u = 800 - 200\\\\u = 600 \ km/h[/tex]
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Find the y-intercept of the line: 9x – 8y + 5 = 0
Answer:
-8y = -9x - 5
y = (9/8)x + 5/8
Step-by-step explanation:
y-int 5/8
The y-intercept of the given line equation 9x – 8y + 5 = 0, is 5/8, which is obtained by rearranging the equation into the slope-intercept form.
Explanation:The subject pertains to finding the y-intercept of a line from a given equation, which is a topic in Algebra.
The equation given is 9x – 8y + 5 = 0. First, we need to rearrange the equation into the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Arranging the equation, we get: -8y = -9x -5, which simplifies further to y = 9/8x + 5/8. So, the y-intercept of the line is 5/8.
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What two numbers multiplies to 16 and adds to -17?
Abigail's car uses 3 2/3 gallons of gas every hour on a long distance trip. How many gallons does the car use in 8 1/2 hours?
Answer:
31.166 repeating
Step-by-step explanation:
Tickets to the garden show cost $6.75 for adults and $3.75 for children. By rounding to the nearest whole dollar, find an estimate of the cost for a family with 2 adults and 3 children to visit the garden show. A. $21 B. $23 C. $24 D. $26
Answer:
$26
Step-by-step explanation:
$6.75 - $7
$3.75 - $4
2 adults = 7x2= $14
3 children = 4x3= $12
$14 + $12 = $26
The answer is D. $26.
What identity can be used to rewrite the expression 27x^3-64?
Option A:
Difference of cubes
Solution:
Given expression is [tex]27 x^{3}-64[/tex].
27 can be written as [tex]3^3[/tex].
64 can be written as [tex]4^3[/tex].
[tex]27 x^{3}-64=3^3x^3-4^3[/tex]
[tex]27 x^{3}-64=(3x)^3-4^3[/tex]
To find the identity to rewrite the given expression:
Option A: Difference of cubes
[tex]27 x^{3}-64[/tex] can be rewritten as [tex](3x)^3-4^3[/tex].
That means the difference of two cubes.
So, it is true.
Option B: Difference of squares
[tex]27 x^{3}-64[/tex] cannot be written as square terms.
So, it is false.
Option C: Sum of cubes
[tex]27 x^{3}-64[/tex] cannot be written as sum of cubes.
So, it is false.
Option D: Pythagorean Triples
[tex]27 x^{3}-64[/tex] cannot be written as Pythagorean Triples.
So, it is false.
Hence difference of cubes if the correct answer.
X3-8y3+27+18xy factorise
Answer:
this expression is not factorable
Step-by-step explanation:
A cylindrical swimming pool has a diameter of 20 feet and a height of 3.5 feet. How many gallons of water can the pool contain? Round your answer to the nearest whole number. (1 ft3 ≈ 7.5 gal)
Answer:
The swimming pool will contain approx [tex]8243\ gal[/tex] of water.
Step-by-step explanation:
Given the swimming pool is in a cylindrical shape.
And the dimensions are [tex]20\ feet[/tex] diameter with a height of [tex]3.5\ feet.[/tex]
Also, [tex]1\ ft^3 =7.5\ gal[/tex]
First, we will find the volume of the swimming pool.
The swimming pool is in cylindrical shape.
So, the volume would be [tex]\pi r^2h[/tex]
The height [tex](h)[/tex] is given as [tex]3.5\ feet.[/tex] To calculate radius [tex](r)[/tex] we will divide the diameter by two.
The radius of the cylinder would be [tex]\frac{20}{2}=10\ feet[/tex]
Plug these values in the formula we get,
[tex]\pi r^2h\\=\pi\times 10^2\times 3.5\\=3.14\times 100\times 3.5\\=1099\ ft^3[/tex]
Now, it is given [tex]1\ ft^3 =7.5\ gal[/tex]
So, [tex]1099\ ft^3 =1099\times 7.5\ gal=8242.5\ gal[/tex]
The swimming pool will contain approx [tex]8243\ gal[/tex] of water.
To find the volume of the cylindrical pool, calculate the radius, then use the formula for the volume of a cylinder, finally convert the volume to gallons. The cylindrical swimming pool can contain approximately 8267 gallons of water.
Calculate the radius: radius = diameter / 2 = 20 ft / 2 = 10 ftCalculate the volume: volume = π * radius^2 * height = π * 10^2 * 3.5 = 350π ft^3Convert to gallons: 350π ft^3 * 7.5 gal/ft^3 ≈ 8267 gallons (rounded to the nearest whole number)
my math problem dealing with fractions ask What is 1/8 of 9?
Answer:
a
Step-by-step explanation:
Answer:
1 1/8
Step-by-step explanation:
1/8 of 9
Of means multiplication
1/8 x 9
= 9/8
= 1 1/8
In a class, 8/9 of the students have blue eyes.
If 32 students have blue eyes, how many students are in the class in total?
A school plans the weekly reading activities. They have 18 storys books, which is 4 books more than 2 times that of science books. What is the number of science books?
Answer:
[tex]Number\ of\ science\ books=7[/tex]
Step-by-step explanation:
[tex]Let\ number\ of\ science\ books=x\\\\Story\ books=18\\\\2\times science\ books+4=Story\ books\\\\2x+4=18\\\\Subtract\ 4\ from\ both\ the\ sides\\\\2x+4-4=18-4\\\\2x=14\\\\Divide\ both\ sides\ by\ 2\\\\\frac{2x}{2}=\frac{14}{2}\\\\x=7\\\\Number\ of\ science\ books=7[/tex]
I NEED THE ANSWER ASAP PLEASE
--x² + 5x – 8=0
What is the x
Answer:
x =(-5-√57)/2=-6.275
Step-by-step explanation:
test patti green and her husband are purchasing a condominium for $123000. They have $15000 for a down payment. what is the amount of their mortgage loan?
Answer:
there amount would be 108,000
Step-by-step explanation:
um...
123,000 - 15,000
= 108,000
give me brainly :)
Write as an equation/inequality. x is less than or equal to 38.
Answer:
x[tex]\leq[/tex]38
Step-by-step explanation:
bring back the x and the 38 with a space between to decide on the symbol put back i the less than sign between both terms then put a line underneath to form the symbol less than or equal to.
Factor the expression. 36y2 – 84y – 147
(2y + 7)(6y – 7)
3(2y + 7)(6y + 7)
3(2y – 7)(6y + 7)
(2y – 7)(18y + 21)
Answer:
1) 3 (6y+7) (2y−7)
2) 12y2+28y−49
3) 36y2+168y+147
4) 36y2−84y−147
5) 3(6y+7)(2y−7)