According to the calculations made, 410 gumballs will be needed to fill the box.
Since you are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween, and each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed, to determine this amount the following calculation must be performed:
(Volume of box x 5/8) / volume of gumballs = Amount of gumballs Volume of a sphere = 4/3 x 3.14 x (radius x radius x radius) Volume of a gumball = 4/3 x 3.14 x (0.5 x 0.5 x 0.5) = 0.5235 inches ((7.3 x 5 x 9.4) x 5/8) / 0.523 = X (343.1 x 5/8) / 0.523 = X 214.4375 / 0.523 = X 410 = XTherefore, 410 gumballs will be needed to fill the box.
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Please help!
17. A salesperson earns a base monthly salary of $2000 plus a 10% commission on sales. The salesperson's
monthly income I (in dollars) is given by the function I(s) = 0.1s + 2000, where s is the sales (in
dollars) that the salesperson makes. Sketch a graph to illustrate each situation using the graph of
I(s) = 0.1s + 2000 as a reference.
A. The salesperson's base salary is increased.
B. The salesperson's commission rate is decreased.
The earning of the salesperson is an illustration of a linear function.
The possible functions in the two scenarios are: [tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
The function is given as:
[tex]\mathbf{I(s) = 0.1s + 2000}[/tex]
When the base salary is increased, a possible function is:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex]
This is so, because 2500 is greater than 2000
When the commission rate is decreased, a possible function is:
[tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
This is so, because 0.05 is less than 0.1
So, the possible functions in the two scenarios are:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
See attachment for the graphs of both functions
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THE DIMENSIONS OF A CUBED ARE 4X C.M,6X C.M AND 10X C.M
A.FIND THE THE TOTAL SURFACE AREA
B.FIND THE VOLUME
Answer:
A. 248 square CM
B. 240 cubic CM
Find the equation (in terms of x ) of the line through the points (-5,-4) and (3,-1)
Answer:
[tex]y=\frac{3}{8}x-\frac{17}{8}[/tex]
Step-by-step explanation:
The slope: m= 3/8
hope this helps.
solve using substitution method2x + 8y = 4x = -4y - 2
( PLASE HELP ME) Solve the following equation.
5(x−4)=−10
Please provide both your answer AND your work. You will not receive full credit if you do not show your work for this question.
Answer:
x = 2
Step-by-step explanation:
5(x-4) =-10
Distribute 5 by multiplying x and -4 by 5
5x - 20 = -10
Add 20 to both sides
5x - 20 + 20 = -10 + 20
5x = 10
Divide both sides by 5
5x ÷ 5 = 10 ÷ 5
x = 2
-Chetan K
List the first 4 terms of the sequence 2n² +n -2
Answer:
1, 7, 17, 31
Step-by-step explanation:
2(1)² + 1 - 2 = 3-2 = 1
2(2)² + 1 - 2 = 9-2 = 7
2(3)² + 1 - 2 = 19-2 = 17
2(4)² + 1 - 2 = 33-2 = 31
An auto shop charges a customer an equal amount for each new tire purchased plus an additional fee for an oil change.
The function C(t) = 87t +32 represents the total cost, C, of getting an oil change and purchasing t, tires.
What does the number 87 represent in the function?
A The slope and the cost per tire purchased.
B The slope and the fee for an oil change.
The y-intercept and the cost per tire purchased.
The y-intercept and the fee for an oil change.
The cost per unit of the auto shop function is the slope of the function
87 represents the slope and the cost per tire purchased
The function is given as:
[tex]\mathbf{C(t) = 87t + 32}[/tex]
A linear function is represented as:
[tex]\mathbf{C(t) = mt + b}[/tex]
Where:
m represents the slope or the unit rate.
So, by comparison:
[tex]\mathbf{m = 87}[/tex]
This means that 87 represents the slope and the cost per tire purchased
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PLS HELP GIVING BRAINLIEST!
Given f(x)=3x^2+x−5, find: f(−1)
Answer:
-3
Step-by-step explanation:
its very easy correct me if im wrong brainliest btw
Solving inequalities unit portfolio task 2-3?
Answer:
What is the question from Solving inequalities unit portfolio task 2-3?
Step-by-step explanation:
Comment it down below and I will solve it! :D
PLEASE HELP I'M MARKING BRAINLIEST!!!!!!
Answer:
download Gauthnath and see answer
Which of the following is a characteristic of a deferred payment plan? (2 points)
There is an introductory period where no interest is accrued.
The item purchased is used as collateral until the balance is paid in full.
A down payment is always required.
A certain number of payments must be made before the product is owned.
A characteristic of a deferred payment plan is that the item purchased is used as collateral until the balance is paid in full.
A deferred payment plan is a form of credit purchase, a way to pay for an item in arrears. The payment is usually divided into several installments, which are distributed over a certain period of time. Interest and fees are often added, which in the end makes the purchase considerably more expensive than if you had paid in cash.
Thus, through this payment system, the asset is delivered to the buyer before the payment is completed, thereby constituting the asset itself as an enforceable guarantee of payment compliance.
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Factor the following polynomials:
1.) 100a² - 25b²
2.) m³ + 125
3.) 8a³ - 64b³
4.) x² - 8x + 12
5.) b² - 6b - 27
Step-by-step explanation:
1. 100a²-25b² [use : a²-b² formula : (a+b)(a-b)]
=> 25(4a²-b²)
=> 25(2a-b)(2a+b).
2. m³+125 [use : a³+b³ formula: (a+b)(a²-ab+b²]
=> m³+5³ => (m+5)(m²-5m+25).
3. 8a³-64b³ [use : a³-b³ formula: (a-b)(a²+ab+b²]
=> 8(a³-8b³) => 8(a-2b)(a²+2ab+b²)
4. x² - 8x + 12 [middle term breaking)
=> x²-2x-6x+12 => x(x-2)-6(x-2) => (x-2) (x-6)
5. b² - 6b - 27 [ middle term breaking]
=> b²-9b+3b-27 => b(b-9)+3(b-9) => (b-9)(b+3).
hope this helps you.
rewrite the equation in slope-intercept form y + 4 = -2 (x-5)
Answer:
y = -2x + 6
Step-by-step explanation:
Slope intercept form: y = mx +b
y + 4 = -2(x - 5)
y + 4 = -2x + 10
y = -2x + 10 - 4
y = -2x + 6
Plz help this is for a grade‼️ the ratio of males to females in the middle school is 6:8. If there are 126 make students,how many frmale stufents are there?
Answer:
kzkakkalqlqoqowowpwowppw
find the mean of
35,26,31,16,21,23,27,30,26,17,19,27
Hello!
To find the mean, we must add all the terms in the dataset and divide by how many there are.
35+26+31+16+21+23+27+30+26+17+19+27=450
There are 12 terms in the dataset, so we divide by 12:
37.5
So the mean of this set is 37.5.
Hope this helps you!
~Just a joyful teen
[tex]SilentNature[/tex]
A number written in word is in:
Exponential form
Expanded form
Standard form
Answer:
standerd form
Step-by-step explanation:
because it have to be in standerd form
Please someone help meee
asap
Please I need help
NO THEY ARE NOT
YOUR ANSWER IS FALSE 1ST ONE
LOVE FROM INDIA HAVE A GREAT FUTURE[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The terms 3x²y and -5xy² aren't like terms,
So, the Correct choice is :
[tex] \huge \mathrm{false}[/tex]Find the 13th term of the geometric sequence 7, 21, 63, ...7,21,63,.
Answer:
3,720,087
Step-by-step explanation:
Multiply each number by 3.
Ajar contains 16 beads. 4 beads are red, 4 are yellow, 5 are green, and 3 are blue.
Which is the probability of picking a blue bead?
Answer:
3/16
Total no.of beads = 16
No.of blue beads = 3
Probability of picking a blue bead = 3/16
Step-by-step explanation:
Hope this helps
can i get braineist pls
pls correct answer for brainliest answer
Step-by-step explanation:
let tye number Ahmed thinks be x.
so, a/q
the equation is,
→ 2x/5 = 4
→ 2x = 4×5 = 20
→ x = 20/2
→ x = 10
therefore, he thinks the number 10.
hope this answer helps you dear!
Answer:
10
Step-by-step explanation:
I'm doing it from the end.
if the answer is 4, you have to multiple it by 5 and then divide it by 2
4 x 5 ÷ 2 = 10
10 multiple by 2 is 20 and 20 divided by 5 is 4 so
10 is correct answer
A plane travels a distance of 17,000 km in a time of 2.4 hours.
What is its average speed rounded to the nearest whole number?
Answer:
7083 KM/H
Step-by-step explanation:
17000 / 2.4 = 7083 (Plus some decimals, but rounded up its 7083.)
El doble de un número más de 3 unidades
Lá resposta de el pergutala é 2x+3
Determine whether the function shown in the graph is even or odd.
The graph starts at the bottom left, continues up through the x-axis near negative one point seven five to a maximum around y equals two, goes back down through the x-axis at the origin to a minimum around y equals negative two, and goes back up through the x-axis near one point seven five.
A) The function is even because it is symmetric with respect to the y-axis
B) The function is odd because it is symmetric with respect to the y-axis.
C) The function is even because it is symmetric with respect to the origin.
D) The function is odd because it is symmetric with respect to the origin.
Answer:
the answer is d
Step-by-step explanation:
i got it right
Hong rented a truck for one day. There was a base fee of $14.95,and there was an additional charge of 91 cents for each mile driven.Hong had to pay $244.27 when he returned the truck. For how many miles did he drive the truck?
A 2 feet- wide walkway surrounds a rectangular swimming pool. The swimming pool is 12 feet wide and 16 feet long. What is the area of the walkway
Answer:
128 sq. ft.
Step-by-step explanation:
The outer sides of the walkway will have a length of 20 feet and the breadth will be 16 feet
The area of the pool along with the walkway will be 20 × 16 = 320 square feet.
Area of the pool without the walkway will be 16 × 12 = 192 square feet.
Therefore area of the walkway will be
352 - 216 = 128 square feet.
please solve this construction for me
Answer:
Kaksjnzhxjz zn, nxnjxbjzznbz zn z xnxjz zbjz xj x, j xn, nxmj, xjbznznxjx nzjzjz dbz dnz xbxxjz
13 can someone please explain this
Answer:
8.
Step-by-step explanation:
13).
This is an equilateral triangle.
We see that all 3 angles are equal, so all sides are equal also.
So 2x - 6 = 10
2x = 16
x = 8.
Answer:
Step-by-step explanation:
If I am correct the triangle has equal sides and I think you're trying to find x. So 10=2x-6 and then solve. Once you get the x (assuming you know how to get it) plug it into the equation (of 2x-6) and get the remaining number. (For example: if x=2 then 2x2-6, then you solve: 2x2=4 4-6=-2) I don't know if you want the answer though...
(depends if you want x or the rest)
Solve the system by using matrices.
X = 4
X + y = -6
4x - 3y + 2z = 26
Answer:
x=4, y=-10, z=-10
Step-by-step explanation:
Translate this sentence into an equation.
112 is the product of Donnie's height and 8.
Use the variable d to represent Donnie's height.
Answer:
8d = 112
Step-by-step explanation:
In the sentence:
112 is the result, so the calculation is equal to 112: '?' = 112
Donnie's height times 8 is equal to the result: 8d = 112
Are the graphs of the equations parallel, perpendicular, or neither? y = 4x + 1 and y = -4x -
Answer:
I am not sure if you fully typed the second equation, but both of these that are written down intersect, there for are perpendicular.
If the second equation is incorrect, let me know and I'll be happy to help you :)