Complete Question
Two geometrically similar jugs have volumes of 1000 cm³and 512 cm³.They have circular bases. The diameter of the base of the larger jug is 9 cm.
Calculate the diameter of the smaller jug.
Answer:
7.2 cm
Step-by-step explanation:
To solve the above question,we have the proportion
Smaller volume/ Larger volume = (Smaller diameter/ Larger diameter)³
We are to find the smaller diameter
Hence our formula is give as
Cube root(Smaller volume/ Larger volume)= Smaller diameter/ Larger diameter
=cube root( 512/1000) = x/9
= 8/10 = x/9
Cross Multiply
10x = 8 × 9
10x = 72
x = 72/10
x = 7.2cm
Therefore, the diameter of the second jug is 7.2 cm
HELP ASAP. ellie wants to order candy online. company A is offering 2 1/2 pounds of chocolate for $31.25; while company B is offering 2 3/4 pounds of the same chocolate for $32.00. what is the unit price for company A and B? (please include units) which company is offering the lowest price? PLEASE SHOW WORK
Answer: Company B is offering the lowest price
Company A: $12.50 per pound
Company B: $11.64 per pound
Step-by-step explanation:
31.25 / 2.5 = 12.50
32 / 2.75 = 11.636
4) A radioactive material decays at a rate of 40% per hour.
a) If we start with 80 grams of the substance, can you find a fomula that models this rate
of decay?
b) How much will be remaining at the end of 6 hours?
Pls help show work
Mrs. Vance buys 710 grams of strawberries.
She has 210 grams of strawberries left after making
5 glasses of strawberry smoothie.
How many grams of strawberries does she use for a glass?
How do you do it using a bar model
142 grams because 710 divided by 5 is 142 and she made 5 glasses with 710 grams.
if I'm wrong tell me I'll re do my equation
From the top of a 100 ft air traffic control tower, an airplane is observed flying in at an angle of 32\displaystyle \degree°. If the airplane is 3000 feet away, what is the plane's altitude?
Answer:
1974.6 feets
Step-by-step explanation:
The plane's altitude is : h + 100 feets
To obtain h, according to the attached picture ;
We can use trigonometry :
Tan θ = opposite / Adjacent
Opposite = h ; adjacent = 3000 feets
Tan 32° = h / 3000
h = 3000 * 0.6248693
h = 1874.6080
Plane's altitude :
h + 100 feets
(1874.6080 + 100) feets
= 1974.6 feets
Logan collected pledges for the charity walk-a-thon. He is receiving total contributions of $65 plus $20 for every mile he walks. How many miles will Logan need to walk in order to receive $325?
Answer:
Number of miles= 13
Step-by-step explanation:
Giving the following information:
He is receiving total contributions of $65 plus $20 for every mile he walks.
To calculate the number of miles to reach $325, we need to use the following formula:
Total collection= fixed contribution + variable contribution per mile*number of miles
325= 65 + 20*number of miles
260/20 = number of miles
number of miles= 13
select all that apply.
Find the length of the missing side
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
c² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )
c = [tex]\sqrt{41}[/tex] ← exact solution → C
Write the equation of a line with that passes through the
points (-3, -2) and (6,1)?
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: Y = 1/3x - 1
:
M = y2 - y1/ x2-x1
M = 6 - (-3) / 1 - (-2)
Y = 1/3x + b
Then substitute one of the points into the equation
-2= 1/3(-3) + b
-2 + 2 + b = 1/3(-3) +b - b + 2
-b = 1/3(-3) + 2
-b = 1
b = -1
Y = 1/3x - 1
Then i plugged it into
!
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-
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if the original parabola defined by y= x ^2, how would it change if y= 2 (x - 3) +1 were graphed instead?
Answer:
It would be stretched vertically by a factor of 2, shifted right 3, and shifted up 1
Step-by-step explanation:
Note that inside the parentheses, the shift is the opposite direction of the add/subtract sign.
Answer: A
Step-by-step explanation:
Charlotte owns two entertainment websites. Here are some details about those websites for one entire month:
Website A Website B
Number of writers 555 111111
Number of posts posted 110110110 200200200
Average number of words of post 100100100 170170170
Average likes per post 350035003500 350035003500
Average comments per post 500500500 450450450
Number of new subscribers 900090009000 20{,}00020,00020, comma, 000
Revenue \$30{,}000$30,000dollar sign, 30, comma, 000 \$75{,}000$75,000dollar sign, 75, comma, 000
Expenses \$20{,}000$20,000dollar sign, 20, comma, 000 \$47{,}000$47,000dollar sign, 47, comma, 000
Profit (Revenue-−minusExpenses) \$10{,}000$10,000dollar sign, 10, comma, 000 \$28{,}000$28,000dollar sign, 28, comma, 000
Charlotte wants to know which website produces a larger amount of content per a single writer.
1) Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options.
Choose 2 answers:
Choose 2 answers:
(Choice A, Checked, Correct)
CORRECT (SELECTED)
Average number of posts per writer
(Choice B, Incorrect)
INCORRECT
Total number of words
(Choice C, Checked, Correct)
CORRECT (SELECTED)
Average number of words per writer
(Choice D, Incorrect)
INCORRECT
Average number of likes per word
2) Determine which website produces a larger amount of content per a single writer according to the two definitions. Did you get the same result for both definitions?
Choose 1 answer:
Choose 1 answer:
(Choice A, Incorrect)
INCORRECT
Yes. According to both definitions, website A produces a larger amount of content per a single writer.
(Choice B, Incorrect)
INCORRECT
Yes. According to both definitions, website B produces a larger amount of content per a single writer.
(Choice C, Checked, Correct)
CORRECT (SELECTED)
No. The definitions have opposite results.
Answer:
WOAH
Step-by-step explanation:
AWESOME EDUCATION DUDE
Answer:
1) These are the two definitions Charlotte came up with to define the quantity:
Average number of posts per writer
Average number of words per writer
2) The definitions have opposite results.
Step-by-step explanation:
Khan :)
Based on a sample survey, a tutoring company claims
that 90% of their students pass their classes. Out of 300 students, how
many would you predict will pass?
Answer:
270
multiply the number by the percentage-
300 x .90= 270 students
Juan wants to buy a doll house that is 45% off. The original price is
$74.85.
What is amount of discount (nearest hundredth)?
Answer this quick pls!! :,)
Answer:
well if you would divide 74.85 by 45% you would 33.6825.
and also i am the same guy that you answered a question from bioligy i got 3 more questions plaese answer them if you can.ty:)
Answer:
$33
Step-by-step explanation:
Given :
45%
$74.85
45% of 74.85 is
Answer = $33
Which of the following is the best approximation of the volume of the cylinder below?
A.22,507.5 m^3
B.5626.9 m^3
C.1406.7 m^3
Answer:
B.
Step-by-step explanation:
V = (pi)r^2h
V = 3.14 * (8 m)^2 * 28 m
V = 5626.9 m^3
Answer: B.
easy math question ?
pls help
Answer:
I believe it is C
Step-by-step explanation:
The opposite of a negative is a positive so its C I think
please help !!! this is another timed question omg
Please help worth 25 points
A rectangle has a base that is three feet longer than its height. The area of the rectangle is 54 square feet. What are the dimensions of the rectangle?
Answer:
h=6 feet
Step-by-step explanation:
Given: 1. The base of a rectangle is three feet longer than its height.
2.Are of the rectangle=54 square meters
Let us say the rectangle has height h and base(breadth) b.
Since, the base of the rectangle is three feet longer than the height, we have b=h+3.
Also, Area of the Rectangle= hb
therefore, 54=h(h+3)
54= h2+ 3h
h2+3h-54=0 (Subtract 54 from both the sides)
To find the value of h we have to solve the quadratic equation.
[We have the equation in the form ax2+bx+c=0, to factorise the equation-
Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.
Step2. Replace b with these numbers.
Step3. Simplify the equation]
So, h2+3h-54=0
h2+9h-6h-54=0
h(h+9)-6(h+9)=0
(h+9)(h-6)=0
Which gives-
h= -9 or h= 6
As h is the height of the rectangle, h can not be -9.
so h=6 feet
and b=h+3=9 feet
So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.
plz help i need some one to check if this is right :(
Answer: No, it's not. x should be 121
Step-by-step explanation:
Answer:
No it is 121
Step-by-step explanation:
22+37= 59
all angles add up to 180 degrees
180-59=121 degrees
Identify the radius, diameter, and height of each cylinder, Find the Volume.
Answer:
36pi cm^3 or 113.097 cm^3
Step-by-step explanation:
Diameter = 6
Radius = 3
Height = 4
Volume = pi * r^2 * h
pi(3)^2*4 = 36pi cm^3 or 113.097 cm^3
Find the area of the polygon. Please help.
Answer:
40 units
Step-by-step explanation:
The area of this rhombus can be broken up to four 4 by 5 right triangles, each having an area of 4*5/2=10, so the answer to your desired question is 10*4=40
Hey there!
The correct answer is 40 units squared.
We can solve this by breaking up the shape. There are four equivalent right triangles, so we can solve for one, and multiply it by 4! The area of a triangle is bh/2 or base * height / 2. So, we can set up the following equation:
(4 * 5) / 2 = area
20 / 2 = area
10 = area
Now we can multiply it by 4, which gives us 10 * 4 or 40.
Have a terrificly amazing day! :D
prove that y = 8/x is nonlinear
Answer:
Step-by-step explanation:
y=8/x
xy=8
input output
-4 -2 (-4×-2=8)
-2 -4 (-2×-4=8)
2 4 (2×4=8)
4 2 (4×2=8)
it is non linear.
Some one please help me Thx
Answer:
3/5
Step-by-step explanation:
3 of the 5 are shaded or indicated
how to graph 2x + 6y = -8
this is how this should help.
24. Woodworking A birdhouse has a square base with
side length 3x - 4. What polynomial in standard
form represents the area of the base?
Answer:
9x² - 24x + 16
Step-by-step explanation:
Formula for the area of the square base = s²
Where,
s = side length = 3x - 4
Therefore:
Area of the base = (3x - 4)²
Expand
(3x - 4)(3x - 4)
3x(3x - 4) -4(3x - 4)
Apply the distributive property
9x² - 12x - 12x + 16
Add like terms
9x² - 24x + 16
Area of the base in standard form = 9x² - 24x + 16
Answer:
9x^2 -24x +16 units^2
Step-by-step explanation:
(3x-4)^2 = 9x^2 -24x +16
help ASAP!!!!!!!!?!!!
Answer:
what percent of 60 is 45, = 45/60 = x/100 = 75%, 16 is 20% of what number = 16/x = 20/100 = 80 not 75, 12.6 is 28%of what number = 45
Step-by-step explanation:
just trust me this would be to long to put on this space but if you have any queztions on why I ordered it this way just ask me.
Can I have some help please
Answer:
I think it's trapezium .
Can someone plz help
Answer:
4th choice which is 50.24 sq.m
What is the volume of the rectangular prism?
Question 8 options:
738 ft3
272 ft3
1296 ft3
34 ft3
Answer:
The volume is Lenght * width * Height
16 * 9 * 9 = 1296 ft cube
whats the mode of $6.00 $6.00 $6.00 $6.00 $5.00 $7.00 $4.00 $7.00
Answer:
4.00,5.00,6.00,6.00,6.00,6.00,7.00,7.00
Step-by-step explanation:
Mean 5.875
Median 6
Mode 6.00
PLEASE HELP! 15 POINTS TO BRAINLIEST!!!
drag each equation to show if it could be a correct first step to solving the equation 3(x +8)=42
first one no second one no third one no frouth no fifth yes last one no
Is 1.58745078664 rational or irrational?
Thank you!
Answer: Rational
Step-by-step explanation:
1.58745078664 is rational
This is due to the fact that the number can be expressed with the ratio of two integers. If you were unable to do so, it would be irrational.