Answer:
Step-by-step explanation:
volume of cone cup = ⅓πr²h = ⅓π4²·11 ≅ 184.31 cm³
10 gal × 3,785 cm³/gal = 37,850 cm³
37,850 cm³ × (1 cone)/(184.31 cm³) ≅205.4 cones
Buy 5 packages (250 cones).
8 gal × 3,785 cm³/gal = 30,280 cm³
30,280 cm³ × (1 cone)/(184.31 cm³) ≅165 cones
250 - 165 = 85 cones left over
a). Number of packs of cups to be purchased = 5 packs
b). Number of cups remaining if 80% lemonade is sold = 85 cups
Volume of a cone: Volume of a cone is given by the expression,
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Here, r = radius of the cone
h = Height of the cone
Given in the question,
Radius of the cone = [tex]\frac{8}{2}[/tex] = 4 cm Height of the cone = 11 cm Amount of lemonade = 10 gallonsa). Volume of one cone = [tex]\frac{1}{3}\pi (4)^2(11)[/tex]
= 184.307 cm³
Covert the gallons into cubic cm,
∵ 1 gallon = 3785 cm³
∴ 10 gallons = 37850 cm³
∵ 184.307 cm³ volume represents the number of cones = 1
∴ 1 cm³ will represent the voulume = [tex]\frac{1}{184.307}[/tex] cups
∴ 37850 cm³ will represent the volume = [tex]\frac{37850}{184.307}[/tex] cups
= 205.36 cups
≈ 205 cups
Therefoe, number of packs of cups to be bought = [tex]\frac{205}{50}[/tex]
= 5 packs
b). If 80% of the lemonade are sold, amount of lemonade sold = 10 × [tex]\frac{80}{100}[/tex]
= 8 gallons
Volume of 8 gallons lemonade in cm³ = 8 × 3785
= 30280 cm³
Therefore, number of cups to be used = [tex]\frac{30280}{184.307}[/tex] cups
= 164.29 cups
≈ 164 cups
Number of cups purchased = 250
And the number of cups remaining = 250 - 164
= 86 cups
Therefore, number of cups remaining are 86 cups.
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Can anyone please help with this? I will love you forever
Answer:
1 and 2, 3 and 4, 5 and 6, 7 and 8
Step-by-step explanation:
Supplementary angles are angles that add up to 180°. Since 180° would basically be a straight line, those angles are supplementary
Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
Rule: y=x+2/3
y=2 x=?
Answer:
y=x+
-2/3
Step-by-step explanation:
y=x+
2
3
Step 1: Flip the equation.
x+
2
3
=y
Step 2: Add (-2)/3 to both sides.
x+
2
3
+
−2
3
=y+
−2
3
x=y+
−2
3
Ted invests $6,082 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 13 years?
Answer:
$11468.52
Step-by-step explanation:
Given data
Principal= $6,082
Rate= 5%
time= 13 years
The expression for compound interest is
A= P(1+r)^t
substitute
A=6082(1+0.05)^13
A=6082(1.05)^13
A=6082*1.885649
A=11468.52
Hence the Amount is $11468.52
jul used one bag of flour. She baked two loaves of bread. Then she used the remaining flour to make 48 muffins. How much flour was in the bag when Makenzie began? Use the chart to help you solve the problem.
Recipe
Amount of flour needed
Bread
2 ¼ cups per loaf
Muffins
3 ¼ cups per 24 muffins
Pizza
1 ½ cups per pie
Answer:
momdhwdjwbdjwbdjwbdjwbdjwbd a amamamamamamama
Step-by-step explanation:
The distance around a tree trunk is 69.08 inches. What is the radius of the tree?
Answer:
10.99
Step-by-step explanation:
cuz it is -_-
How many minutes is 65% of 3 hours? ____ just write the number part of the answer.
Answer:
117
Step-by-step explanation:
There are 60 minutes in each hour, and to find how many minutes there are in 3 hours you would have to multiply 3 x 60.
3 x 60 = 180
To find 65% of 180 you can use the equation
65 x 180/100
65 x 180 divided by 100 is 117.
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.
Set up the ANOVA table for this problem (to 2 decimals, if necessary).
Source of Variation Sum of Squares Degrees of Freedom Mean Square F
Treatments
Error
Total
Use {Exercise 13.07} Three different methods for assem = .05 to test for any significant difference in the means for the three assembly methods.
Calculate the value of the test statistic (to 2 decimals).
The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 11
What is your conclusion?
SelectConclude not all means of the three assembly methods are equalCannot reject the assumption that the means of all three assembly methods are equal
Item 12are my calculations correct?
Given :
Number of methods, k = 3
Number of the observations, n = 30
Degrees of freedom Treatment = k - 1
= 3 - 1 = 2
Degrees of freedom for error = n - k
= 30 - 3 = 27
[tex]$SSTR = 4560, \ SST = 10800$[/tex]
[tex]$SSE = SST - SSTR$[/tex]
= 10800 - 4560
= 6240
[tex]$SSE_{treatment} = MS_{treatment } \times DF_{treatment}$[/tex]
[tex]$MS_{treatment} = \frac{4560}{2}=2280$[/tex]
[tex]$MS_{error}=\frac{SSE_{error}}{DF_{error}}$[/tex]
[tex]$=\frac{6240}{27}=231.1$[/tex]
[tex]$F=\frac{MS_{treatment}}{MS_{error}}$[/tex]
[tex]$=\frac{2280}{231.1}=9.865$[/tex]
Source variation Sum of square Degrees of freedom Mean square F
Treatment 4560 2 2280 9.8653
Error 6240 27 231.11111111
Total 10800
The critical value of F for the 0.05 sig level and df (227) is 3.354
Since the test stat > critical value of F, so we reject null hypothesis and state that there is a significant difference in the means of the three assembly methods.
Pls help extra points and mark brainlist
Answer:
B.
Hope that helps!
Step-by-step explanation:
Answer:
The second one.
Step-by-step explanation:
Because it is has an equal sign, that you can solve x for.
Hope this helps! Have a good rest of you day!
Barbara charges $3.50, plus $2.25 for each hour she babysits. If Barbara charges $21.50, how many hours does she babysit?
Answer:
8 hours
Step-by-step explanation:
The equation is 2.25X + 3.50 = 21.50
X represents the unknown amount of hours she worked. 2.25 is the cost per hour. 3.50 is the fee she charges for every gig. That fee only happens once a gig so naturally it wasn't the number x was placed with.
2.25X + 3.50 = 21.50
2.25X + 3.50 - 3.50 = 21.50 - 3.50
2.25X = 18
2.25X = 18
2.25 2.25
X = 8
1. What is 35% of 200?
Answer:
70 is 35% of 200
Step-by-step explanation:
Your welcome
Answer:
70 is 35 % of 200
Step-by-step explanation:
.35 × 200 = 70
The minimum wage in 2007 was $7.50. The current minimum wage is $13.00. What is the percent of
change? Round your answer to the nearest tenth.
Joe has $50.00. He wants to buy equal numbers of soft drinks and sandwiches. A soft drink costs $0.79. A sandwich costs $2.49. How many of each can joe buy with his $50.00? A.15 B.20 C.41 D.63 please help if you can!
Answer:
First you have to add the price of one soft drink and one sandwich which would be $3.28. Then divide 50 with 3.28 and you get 15.2439 approximately 15.
So your asnwer should be A. 15
Step-by-step explanation:
Find the sum of the first six terms of the Geometric Progression (G.P.):
2
1, 2, 4, ....
Step-by-step explanation:
Heueueirjrjkwugoystsitso5wpysoydlusktzlhskgdlysyldj
Help plz....................
Triangle Theorems helppppppp
Answer and Step-by-step explanation:
Answer is in picture.
The angles of a triangle add up to 180.
There are TWO 9x + 1 because they are the base angle pairs.
I hope this helps!!
#teamtrees #PAW (Plant And Water)
wHy dO i FeEl HaPpy?
Answer:
Step-by-step explanation:
because its called an emotion have a great day
:)
Answer:
maybe you ate dark chocolate? lol
Step-by-step explanation:
:)
HELP ASAP !!!
Which of the following are identities? Check all that apply.
Answer:
A,CAND D
Step-by-step explanation:
ADD ME AS BRAINLIEST
Answer:
they should all be checked
Step-by-step explanation:
ap3x
What is the answer for this?
Answer:
Proved
Step-by-step explanation:
Given
[tex](2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Required
Prove
On the right hand side, we have:
[tex]2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Rewrite:
[tex]2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
[tex]6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Apply law of indices
[tex]6* 10^{2+5} = 3.5 * 10^7 + 2.5 * 10^7[/tex]
[tex]6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Express 6 as 3.5 + 2.5
[tex](3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Open bracket
[tex]3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Proved
y у
45°
x 100°
y = [?
The value of y is 55°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
x and 100° together form a straight angle.
x + 100 = 180
x = 180 - 100
x = 80
Now,
45° + x + y = 180
45 + 80 + y = 180
y = 180 - 125
y = 55°
Thus,
y = 55°.
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There is a couple more
Answer:
m<4= 81 by the alternate interior postulate
Select all the multiples of the number 3
A tank contains 210 liters of fluid in which 30 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 3 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t. Find the rate at which the number of grams of salt in the tank is changing at time t.
Answer:
[tex]dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex] g/min
Step-by-step explanation:
The mass flow rate dA(t)/dt = mass flowing in - mass flowing out
Since water is pumped in at a rate of 3 L/min, and it contains no salt, the concentration in is thus 0 g/L. the mass flow in is thus 0 g/L × 3 L/min = 0 g/min.
Let A(t) be the mass present at any time, t. The concentration at any time ,t is thus A(t)/volume = A(t)/210. Since water flows out at a rate of 3 L/min, the mass flow out is thus, A(t)/210 g/L × 3 L/min = A(t)/70 g/min.
So, dA(t)/dt = mass flowing in - mass flowing out
dA(t)/dt = 0 g/min - A(t)/70 g/min
dA(t)/dt = - A(t)/70 g/min
Since the tank initially contains 30 g of salt, the initial mass of salt in the tank is 30 g. So A(0) = 30
So, the initial value problem is thus
dA(t)/dt = - A(t)/70 , A(0) = 30
Separating the variables, we have
dA(t)/A(t) = -dt/70
Integrating both sides, we have
∫dA(t)/A(t) = ∫-dt/70
㏑A(t) = -t/70 + C
taking exponents of both sides, we have
A(t) = exp(-t/70 + C)
A(t) = exp(-t/70)expC
[tex]A(t) = e^{-t/70}e^{C}\\A(t) = Ce^{-t/70} whereC = e^{C}[/tex]
A(0) = 30, So
[tex]A(0) = Ce^{-0/70}\\30 = Ce^{0}\\C = 30[/tex]
[tex]A(t) = 30e^{-t/70}[/tex]
The rate at which the number of grams of salt in the tank is changing at time t is
[tex]dA(t)/dt = \frac{d30e^{-t/70} }{dt} \\dA(t)/dt = -\frac{30e^{-t/70} }{70}\\dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex]
So, the rate at which the number of grams of salt in the tank is changing at time t is
[tex]dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex] g/min
u={1,2,3,4,5,6,7,8,9}
a={2,4,6,8}
b={3,6,9}
What is the set AUB?
Answer:
AUB = {2,3,4,6,8,9}
Step-by-step explanation:
The set u should not be included in set AUB
I NEED HELP ASAP!!<3
Graph the following piecewise function.
What is the interquartile in the dot plot for Mrs. Orlando’s daycare? i need thisssss!!
What is the equation of the line that passes through the point (-5, 3) and has a
slope of
-6/5
a) American households spent an average of about $70 in 2007 on Halloween merchandise such as costumes, decorations and candy. To see if this number had changed, researchers conducted a new survey in 2008 before industry numbers were reported. The survey included 2100 households and found that average Halloween spending was $47 per household. The sample mean is dollars, while the claimed population mean is dollars. b) The average GPA of students in 2001 at a private university was 3.38. To assess whether this has changed over time, a survey on a sample of 190 students from this university was taken in the Spring 2020 semester. The survey yielded an average GPA of 3.75. The sample mean is and the claimed population mean is
Answer:
a) The sample mean is 47 dollars, while the claimed population mean is 70 dollars.
b) The sample mean is 3.75, while the claimed population mean is 3.48.
Step-by-step explanation:
Question a)
American households spent an average of about $70 in 2007 on Halloween merchandise such as costumes, decorations and candy means that the claimed population mean is 70 dollars.
The survey included 2100 households and found that average Halloween spending was $47 per household means that the sample mean is 47 dollars.
The sample mean is 47 dollars, while the claimed population mean is 70 dollars.
Question b)
The average GPA of students in 2001 at a private university was 3.38 means that the claimed population mean is 3.38.
The survey yielded an average GPA of 3.75 means that the sample mean is 3.75.
The sample mean is 3.75, while the claimed population mean is 3.48.
find the measure lol
Please help ..........