Answers
Step-by-step explanation:
it is a bit unclear to me how the cups are stacked on each other.
are we building a pyramid or is it really just one line of cups stacked into each other ? the equation suggests the latter. so, I will continue with that assumption.
then each additional cup really adds only the height of the rim to the total height of the cup tower.
so, we want to find out for what smallest x is the equation delivering as y value 32,400 or more.
32,400 = 2.4x + 13.6
let's get rid of the decimals by multiplying everything by 10.
324,000 = 24x + 136
323,864 = 24x
x = 323,864/24 = 13,494.33333...
so, we need 13,495 cups to reach its height (just rounding it to 13,494 would still leave a tiny gap, so we need the 13,495th cup - there is no way to reach the height exactly).
Related Questions
a box with a square base is taller than it is wide. in order to send the box through the US mail, the height of the box and the perimeter of the base cna sum to no more than 108 in. what is the maximum colume for such a box
Answers
The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 [tex]in^{3}[/tex].
The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:
volume = length x width x height
= area x height
Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.
Then;
4l + h = 108
Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.
So that;
4(20) + 28 = 80 + 28
= 108 inches
Thus;
maximum volume = area of the square base x height
= 400 x 28
maximum volume = 11200 [tex]in^{3}[/tex]
The maximum volume for such a box would be 11200 [tex]in^{3}[/tex].
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39.2 is 95 percent of what?
Answers
In a fraction, the value that represents the number of parts as compared to the whole is the ______
Answers
Answer:
Its the Denominator. Hope I helped please mark brainliest if you can and thanks! <3
Step-by-step explanation:
Answer:
21
Step-by-step explanation
OUI BONSEIUR
6x + 5y = 1
y=(-3x -7)
Solve each system by substitution
Answers
Answer:
x=3,y=2
Step-by-step explanation:
What is the measure of ZPRQ?
P
O
A. 172°
1020
B. 70°
70"
s
C. 86°
D. 1020
Answers
Answer: should be 86°, not sure.
Step-by-step explanation:
What is the domain of the relation?
Answers
Answer:
Domain: 3, 6, 8, 9, 7
Step-by-step explanation:
Domain: 3, 6, 8, 9, 7
(Domain, Range)
The domain of a function or relation is the set of all possible independent values the relation can take.
Hope this helps :)
Answer:
Domain: {3, 6, 8, 9, 7}
Step-by-step explanation:
A relation is a set of ordered pairs, (x, y). The domain of a relation is the set of all x-values. Therefore, the following is the domain of the given relation:
Domain: {3, 6, 8, 9, 7}.
The formula for the area of a triangle is A=1/2bh, where b is the base of the triangle and h is the height of the triangle. The area of the triangular sail of a sailboat is 126ft^2. The base is 12 ft. Find the height of the sail.
(Show steps please)
Answers
Answer:
H=21ft
Step-by-step explanation:
Height=2•Area/Base
Area=126ft^2
Base=12ft.
H=2•126/12=21ft
H=21ft
Hope this helps :)
Simplify the following expression.
11/100 divided by 11/20
Answers
Same things to 11/20
identify if the graph represents quadratic function
Answers
Answer:
Graph #2 for sure, both axis are linear and the curve is a parabola all right.
On graph #1: I can't for the life of me read the units on the Y axis, so you have to check: if they're going 2000 4000 6000, then that is a parabola as wel. If they're increasing esponentially, ie 2000 4000 8000, then one of the two axis is logarithmical and the curve is no longer quadratic.
Question 10(Multiple Choice Worth 1 points)
(01.05 MC)
Which number line best shows the position of 13?
J3
ht
-4
-3
- 2
-1
0
1
3
2
4
13
-4
-3
- 2
.
-1
0
1
2.
3
4
13
+
1
-3
-2
-4
-1
0
2.
3
4
13
+
3
-4
-3
-1
0
1
2
4
Answers
Answer:
It's the first option
Step-by-step explanation:
√3 according to calculator is 1.73205...
And if you check the options given, you'd see that the first option is the closest answer
SOMEONE PLEASE HELP I will give you brainliest it’s due in 11:59 pm TODAY!! Please
Answers
longer side: 260ft
greatest possible area: 33800ft^2
basically get the equations for area and perimeter which will be
A: lw (length x width)
P: l + 2w
Substitute them into eachother and you get the equation:
-2w^2+520w = A
find the vertex of this parabola which will give you the greatest width which is 130m
Then u can find length and area from this width
Suzy needs to make a profit of at least $10 for her part of the bake sale. What is the least amount she can sell each of her cookies for in order to make a profit of at least $10?
Answers
Answer:
B.$0.43
Step-by-step explanation:
EASY
change 0.04608 to standard form
Answers
Answer:
Step-by-step explanation:
Shift deciaml point on right side before a non zero number which is 4:
=4.608×10^-2
A radar gun measured the speed of a baseball at 92 miles per hour.
If the baseball was actually going 90.3 miles per hour, what was the percent error in this measurement?
Answers
Answer:
subtract the actual measurement from the initial measurement
ie. 92-90.3 =1.7 %
You can calculate the error and then measure how much percent of the real value, the error came.
The percent error in the considered measurement is of approx 1.88%
How to calculate the percent error?Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.
[tex]\text{Percent error} = |\dfrac{Error}{\text{Actual value}}| \times 100 = |\dfrac{\text{(Actual value - Estimated value)} }{\text{Actual value}}| \times 100[/tex]
Sine in the given condition, we have:
Actual measurement = 90.3 miles per hourEstimated measurement = 92 miles per hourThus, we have
Error = 90.3 - 92 = -1.7 miles per hour
Thus, the percent error is calculated as:
[tex]\text{Percent error} = |\dfrac{-1.7 }{90.3}|\times 100 = \dfrac{1.7 \times 100}{90.3} = \dfrac{170}{90.3} \approx 1.88\%[/tex]
Thus,
The percent error in the considered measurement is of approx 1.88%
Learn more about percent error here:
https://brainly.com/question/3105259
8) What are the measures of angles x, y, and z?
Answers
Angle x is a vertical angle to 5s, angles x and y are alternate interior angles so y is also 5s. And z is an alternate exterior angle to angle y.
I can't really figure out the number value of 5s with the given information.
Could you please help me?!
Answers
Answer:
Step-by-step explanation:
Facts to know :
-diagonals of rhombus are angle bisector so angle A is double 28
∡A = 28*2 = 56°
-opposite angles in a rhombus are congruent so angle A and angle C have the same measure
∡C = 56°
-the sum of angles in a rhombus is 360°
360 - 2*56 = 360-112 = 248
248 /2 = 124
∡B = ∡D = 124°
Triangle IJK has the coordinates listed:
Where is J' after a reflection over the y-axis?
Answers
Answer:
J' (- 10, - 8 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
J (10, - 8 ) → J' (- 10, - 8 )
Answer:
(-10, -8)
Step-by-step explanation:
The rule for a reflection over the y -axis is (x, y)→(−x, y) .
so J(10, -8) becomes J'(-10, -8)
Which pair of functions are inverses of each other?
Answers
Answer: c ic the answer
c is the answer
Step-by-step explanation:
c is the answer
Geometry help, please.
Answers
Answer:
c=20
Step-by-step explanation:
Use Pythagorean Theorem.
a squared plus b squared equals c squared.
12^2 + 16^2 = c^2
Now rearrange for c.
c = [tex]\sqrt{(12^2+16^2)}[/tex]
The answer is 20.
A chessboard has 8 rows of squares with 8 squares in each row . Two players each put 16 chess pieces on the board , with each piece on its own square. How many squares are empty now? Explain your answer.
Answers
Answer:
40
Step-by-step explanation:
8x8 if 56 - 16 = 40
The sum of two numbers is 64 Twice the larger number plus five times the smaller number is 20. Find the two numbers
Answers
Answer:
The numbers are 100 and -36.
Step-by-step explanation:
Let x be the larger number
64 - x be the smaller number
x + ( 64 - x ) = 64
2x + 5 ( 64-x ) = 20
2x + 320 - 5x = 20
-3x = -300
x = 100
64 - 100 = -36
A loaf of bread that serves six people calls for 1 and 1/2 cups of all purpose flour and 5/6cups of chickpea flour you want to make a loaf of bread so that it will serve nine people how much flour all together will you need
Answers
Answer: 3 cups of flour
Step-by-step explanation:
Please help me with this question
Answers
Answer:
Step-by-step explanation:
3/5 = 0.6
0.6> 0.2
1/2 = 0.5
0.5 > 0.35
2/10 = 0.2
0.2 > 0.152
What is the volume of a sphere with a surface area of 64 pi cm^2?
16 pi cm^3
21 1/3 pi cm^3
48pi cm^3
85 1/3 pi cm^3
Answers
Answer:
Hello, have a great day.
Answer:
85 1/3 pi cm3 I hope this helps.
PLEASE ONLY ANSWER IF YOU KNOW THE CORRECT ANSWER!! I APPRECIATE IT THANK YOUUUU
Which relation is a function
Answers
Answer:
The 1st one on the right is a function
Answer:
Parabola Graph (top-right)
Step-by-step explanation:
A graph represents a function given that none of the x-coordinates have more than one corresponding y-coordinates. Consequently, if a graph contains two or more different points with the same x-coordinate, then that graph does not represent a function.
An easier way of finding out whether a graph represents a function is through the vertical line test. In order to perform the vertical-line test, imagine dragging a ruler held vertically across the graph from left to right. A graph is a function if the edge of the ruler crosses the graph only once for every x -value.
Out of all the given options, the graph of an upward-facing parabola represents a function (top-right graph), as each vertical line contains only one point. Please see the attachment, where I performed the vertical line test.
300
O
3) What is the value of x?
69'
7090
7100
3D
Answers
Answer:
71°
Step-by-step explanation:
exterior angle = sum of two opposite interior angle
142°=2x°
x°=142°/2
x°=71°.
hope this helps you.
y = 147° ( Vertically opposite angles)
[tex]y + x + x = 180° \\ 147 + 2x = 180° \\ 2x = 180 - 147 \\ 2x = 33 \\ x = \frac{33}{2} \\ x = 16.5[/tex]
Tim needs a total of $499 to buy an ipad. He has $187. How much more money does he need to save to buy the Ipad?
Answers
Answer:
312
Step-by-step explanation:
499-187
Answer: Tim needs to save $312 more.
Step-by-step explanation: To find the answer, subtract. $499 minus $187 equals $312. Hope this helps! :>
HELP PLEASE
Acellus
Solve this system of equations by
using the elimination method.
Answers
Answer:
(2, 2)Step-by-step explanation:
Add up the equations, it will eliminate x as variable:
3x + 6y - 3x + 4y = 18 + 210y = 20y = 2Find the value of x:
3x + 6*2 = 183x + 12 = 183x = 6x = 2Given : -
3x + 6y = 18 ... (1)-3x + 4y = 2 ... (2)To find : -
Solution x and y?Solution : -
3x + 6y = 18
-3x + 4y = 2 +
10y = 20
y = 20/10 = 2[tex] \: [/tex]
3x + 6y = 18
3x + 6(2) = 18
3x + 12 = 18
3x = 18 - 12
3x = 6
x = 6/3 = 2[tex] \: [/tex]
(2 , 2)1 minute is equal to 60 seconds. How many seconds are in 4 minutes, 14 seconds?
Answers
Answer:
254 seconds
Step-by-step explanation:
If 1 minute = 60 second
then
60 x 4 = 240 second
then add 14
240 + 14 = 254
Therefore, there are 254 second in 4 minutes and 14 seconds
60•4+14
240+14 = 254
Therefore, there is 254 seconds total.
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Lee is creating a garden with the dimensions shown.
Lines are drawn inside a large triangle at each point to create smaller triangles. Line A B is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to A B is 36 degrees. Line Z Y is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to Z Y is 65 degrees. Line X Y is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to X Y is 79 degrees.
He creates paths through the garden along Line segment A B, Line segment X Y, and Line segment Z Y. Which correctly compares the lengths of the paths?
The path along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B.
The path along Line segment A B is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment X Y.
The path along Line segment Z Y is longer than the path along Line segment X Y, and the path along Line segment X Y is longer than the path along Line segment A B.
The path along Line segment Z Y is longer than the path along Line segment A B, and the path along Line segment A B is longer than the path along Line segment X Y.
Mark this and return