The cost of the ice needed to make 50 snow cones is $54.50.
What is cost of the ice?The first step is to determine the volume of the snow cone.
Volume of the snow cone =volume of a cone + volume of the hemisphere
Volume of the cone = 1/3πr²h
1/3 x 3.14 x 10.2 x (8.3/2)² = 183.87 cm³
Volume of the hemisphere = 2/3πr³
2/3 x 3.14 x (8.3 / 2)³ = 224.43 cm³
Total volume = 224.43 cm³ + 183.87 cm³ = 408.30 cm³
Volume of 50 snow cones = 408.30 cm³ x 50 = 20,414.82
Total grams of ice needed = density x volume
0.697 x 20,414.82 = 14,229.13 grams
Convert gram to 1kg
1kg = 1000g
= 14,229.13 grams / 1000 = 14.23kg
Cost of the ice = 14.13 x 3.83 = $54.50
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A number is divided in the ratio 5:9. If the first part is 35, find the number.
A number is divided in the ratio of 5:9. If the first part is 35, the number will be 7.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A number is divided in the ratio of 5:9. If the first part is 35, then we need to find the number.
By unitary method
5x = 35
x = 7
Then the other number will be
9x = 9(7)
= 63
Thus, A number is divided in the ratio of 5:9. If the first part is 35, the number will be 7.
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please I need the answer
Answer:
The answer is c
Step-by-step explanation:
one add the numbers 108 & 96=204
then add the numbers from c which is 30+30=60 43+43=86 29+29=58
then add 60+86+58 which will be 204 so c is the answer your welcome
come
The graph below represents which system of inequalities?
A) y > 2x − 3
y > −x − 3
b) y < 2x − 2
y < −x + 3
C) y ≤ 2x − 2
y > −x + 3
D) None of the above
The system of inequalities that represents the graph are y > -x + 3 and y ≤ 2x - 2
Equation of a lineA line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b
For the broken line, the coordinate points will be(0, 3) and (3, 0)
m = -3/3
m = -1
The equation of the line will be y > -x + 3
For the solid line, the coordinate points will be(0, -2) and (1, 0)
m = 2/1
m = 2
The equation of the line will be y ≤ 2x - 2
Hence the system of inequalities that represents the graph are y > -x + 3 and y ≤ 2x - 2
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Find the slope of the line passing through the points (5,8) and (6,12).
Answer:
Calculator soup can help just search for whatever your learning and add a calculator at the end
To receive monthly payments of $1500 for 20 years, how much would a person have to invest now in an annuity with an annual interest rate of 3.1% to achieve this goal? Round the answer to the nearest dollar.
Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.
How to determine the require investment to receive a desired monthly payment
According to this question, the person have decided to invest money to receive a monthly payment, meaning no savings and the adequacy of using the simple interest formula:
g = C · (r/100) (1)
Where:
C - Invested money, in monetary units.r - Monthly interest rate, in percentage.g - Monthly payment, in monetary units.If we know that g = 1500 and r = 3.1/12, then the invested money must be:
C = 100 · g/r
C = 100 · [1500/(3.1/12)]
C = 580645.16
Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.
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If 3x−4y=2 is a true equation, what would be the value of -4(3x-4y)
Answer:
-8
Step-by-step explanation:
If 3x-4y=2, then for any number a we also have a(3x-4y)=a(2) by multiplication property of equality.
Therefore, for a=-4 we have -4(3x-4y)=-4(2) which means the value of -4(3x-4y) is -8.
The value of equation - 4 (3x - 4y) will be;
⇒ - 4 (3x - 4y) = - 8
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The true equation is,
⇒ 3x - 4y = 2
Now,
Since, The true equation is,
⇒ 3x - 4y = 2 .. (i)
Hence, The value of equation - 4 (3x - 4y) is,
⇒ - 4 (3x - 4y)
Substitute from (i), we get;
⇒ - 4 (3x - 4y) = - 4 × 2
= - 8
Thus, The value of equation - 4 (3x - 4y) = - 8
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Felix chose 3 integers between -10 and 10 at random. He chose the three integers listed below.
-1, 8, 4
Which integer does Felix need to choose next so that the product of all
four numbers chosen is 64?
[A] 2
[B] -2
[C] -1
[D] 4
Answer: -2
Step-by-step explanation: The answer is -2 because -1 x 8 = -8, and -8 x 4 = -32. Because multiplying two negatives cancels out and becomes positive, we can apply this same principle and figure out that -32 x -2 would give us positive 64. Hope this helps!
For each of the number lines, write an absolute value equation in the form |x - c |=d,
where c and d are some numbers, to satisfy the given solution set.
The absolute value equation that satisfy the solution set of -4 and -8 is |2 - x| = -6
How to determine the absolute value equation?The solution sets on the number line are given as:
x = {-8, -4}
Calculate the average of the solutions
Mean = (-8 - 4)/2
Mean = -6
Calculate the difference of the solutions divided by 2
Difference = (-4 + 8)/2
Difference = 2
The absolute value equation is the represented as:
|Difference - x | = Mean
Substitute known values
|2 - x| = -6
Hence, the absolute value equation is |2 - x| = -6
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Answer:
|b+6|=2
Step-by-step explanation:
Many of the amenities at a local ski hill are operated using gas generators. To transport gasoline to the top of the mountain, a special trailer has been designed. The trailer bed is in the shape of a square with a side length of 1.5 m. They wish to attach a cylindrical shaped gas tank to the trailer which is as large as possible, but cannot be taller than the trailer bed is. Determine the dimensions, volume and surface area of the gas tank.
The Dimension of the Cylinder: Height = 1.5 m and radius = 0.75 m
Volume of Cylinder = 2.649 m³
Surface Area = 10.59 m²
What is Cylinder?A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.
Here, Trailer bed dimension = 1.5 m X 1.5 m
So, height of the cylindrical = 1.5 m
Radius = 1.5/2 = 0.75 m
Now, Volume of Cylinder = πr²h
= 3.14 X (0.75)²X1.5
= 2.649 m³
Surface area of cylinder = 2πrh + 2πr²
= 2πr (h + r)
= 2 X 3.14 X 0.75 ( 1.5 + 0.75)
= 10.59 m²
Thus, The Dimension of the Cylinder: Height = 1.5 m and radius = 0.75 m
Volume of Cylinder = 2.649 m³
Surface Area = 10.59 m²
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Directions: In this last section, you will answer one problem. Be sure to read the
problem carefully and to answer the question completely. Show your work and circle
your answer. Use any method to solve this problem.
74. A restaurant has a total of 60 tables. Some of the tables can seat 4 people and some
seat 2 people. All of the seats are occupied when there are 160 people seated. How man
tables for 4 are there?
Answer:
40 tables
Step-by-step explanation:
I think lol I'm just guessing. Hope you get it right. If I'm right just remember me as legend or the chosen one.
If y = –0.96 when x = 2.4, what is y when x = 2.9?
Answer:
It should be -1.16
Step-by-step explanation:
Hope this helps :)
Polygon G H I J K has 5 sides.
Which statements are true about the regular polygon? Select three options.
The sum of the measures of the interior angles is 900°.
Each interior angle measures 108°.
All of the angles are congruent.
The polygon is a regular hexagon.
The sum of the measures of the interior angles is 180(5 – 2)°.
Answer:
Each interior angle measures 108°.All of the angles are congruent.The sum of the measures of the interior angles is 180(5 – 2)°.Step-by-step explanation:
(1) The sum of the interior angles of a polygon is [tex]180(n-2)[/tex] degrees, where n is the number of sides. In this case, n=5, so the sum is 180(5-2)=540 degrees, meaning the first statement is false.
(2) Since the angles add to 540 degrees, dividing this amongst the five equal angles, we get that each angle measures 108 degrees, so this statement is true.
(3) By definition, all angles of a regular polygon are congruent.
(4) A hexagon has 6 sides, but this polygon has only 5 sides, so this statement is false.
(5) This is true. (See statement (1)).
Answer:
Options B, C, E
Step-by-step explanation:
The angle measures of quadrilateral RSTU are shown.
m∠R = (2x)°
m∠S = (3x – 35)°
m∠T = (x + 35)°
The measure of angle U is unknown. Can quadrilateral RSTU be a parallelogram?
Yes, opposite angles R and T are congruent to each other if x = 35.
Yes, consecutive angles R and S are congruent to each other if x = 35.
No, if x = 35, all three given angles measure 70°. The fourth angle would measure 150°.
No, if x = 35, the three given angle measures make it impossible for the figure to be a quadrilateral.
The quadrilateral RSTU be a parallelogram if opposite angles R and T are congruent to each other if x = 35 option first is correct.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners.
We have:
The angle measures of quadrilateral RSTU are shown.
m∠R = (2x)°
m∠S = (3x – 35)°
m∠T = (x + 35)°
If R and T are congruent:
2x = x + 35
x = 35 degree
Opposite angles R and T are congruent to each other if x = 35.
Thus, the quadrilateral RSTU be a parallelogram if opposite angles R and T are congruent to each other if x = 35 option first is correct.
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Answer:
It's c
Step-by-step explanation:
On edge 2023
Nick walked 5 miles to reach his aunt's house. From there he traveled 8 miles to the shopping mall on a bicycle. He traveled 80% faster on the bicycle than on foot. Let r represent his rate of walking in miles per hour. Identify the expression that represents the number of hours Nick took to reach the shopping mall in terms of r. Then find the time taken by Nick to reach the shopping mall if he walked at an average speed of 3 miles per hour
The number of hours Nick took to reach the shopping mall in terms of r is ; 3.14 hours.
What is rate?Rate is a measure of a quantity using another quantity as the basis.
Analysis:
speed travelling on foot = r
distance travelled on foot = 5 miles
time taken = 5/r
speed travelling on bicycle 80 percent faster than on foot is 1.8r
distance travelled on bicycle = 8 miles
time taken = 8/1.8r = 40/9r
total time taken to get to the mall = 5/r + 40/9r = 85/9r
speed while walking = 3 miles per hour = r
time taken = 85/9 x 3 = 3.14 hours
In conclusion, number of hours Nick took to reach the shopping mall in terms of r is 85/9r is 3.14 hours.
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Answer:
3 hours 9 minutes
Cost of Bikes ($) at Bike Shop
312, 352, 480, 392, 368, 352, 416, 640
Ic. mode
The mode is.
Answer:
352
Step-by-step explanation:
it repeated more than once
i need help i also need answers
Answer:
23
Step-by-step explanation:
Given Shane hits 5 HRs out of 100 At-bats,
[tex]\frac{x}{460} = \frac{5}{100} \\\frac{x}{460} (460) = \frac{5}{100} (460)\\x = 23[/tex]
A baseball "diamond" is actually a square with side lengths of 90 feet. In a game, a runner tries to steal second base. How far must the catcher throw from home plate to second base in order to get the runner out?
Answer:
about 127.28 feet
Step-by-step explanation:
The length of the hypotenuse of a right triangle with a base and a height of 90 feet each.
root (90)^2 + (90)^2
Which statement best compares savings accounts and money market accounts?
OA. A regular savings account has fewer restrictions on withdrawals than a money market account
but at a lower interest rate.
OB. A regular savings account has fewer restrictions on withdrawals than a money market account
but at a higher interest rate.
C. A money market account has fewer restrictions on withdrawals than a regular savings account
but at a lower interest rate.
OD. A money market account allows for more withdrawals than a regular savings account but at a
higher interest rate.
Answer:
Its Option C.
Step-by-step explanation:
I took this quiz and got this correct, atleast I think...??
If a population consisted of 75,000 people surveying 75,000 people from the population could result in a parameter but not a point estimate. True or false?
which table represents an exponential function of the form y=bx when 0
The table that represents an exponential function of the form y = [tex]b^{x}[/tex] when 0 < b < 1 is Table - 2. See the attached tables.
What is an exponential function?
A function is exponential when its value is a constant that is raised to the power of the argument. This is so especially when the function of the constant is e.
What is the solution?Recall that the exponential function y = [tex]b^{x}[/tex] given that 0 < b < 1. Notice that the table number 2 see to the exponential function that has the following form:
y(x) = (1/3)ˣ
substituting the values of x into the equation, we have:
y(-3) = (1/3) ⁻³ = 27
x = -2; thus
y(-2) = (1/3) ⁻³ = 9
x = -1; thus
y(-1) = (1/3) ⁻³ = 3
x = 0; thus
y(0) = (1/3) ⁻⁰ = 1
x = 1; thus
y(1) = (1/3) ¹ = 1/3
x = 2; thus
y(2) = (1/3) ⁻² = 1/9
x = 3; thus
y(3) = (1/3) ⁻³ = 1/27
Therefore, according to the obtained values, one can summarize that the table that depicts the exponential function y = bˣ is table 2.
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How do you find the length of an unknown leg in a right triange
By using the pythagoras theorum you can find an unknown leg of right angled triangle.
Hypotenuse side is in the front of the 90 degree angle and other two sides can be taken as base and perpendicular, so formula goes as :-
(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2
H^2 = B^2 + P^2
Step-by-step explanation:
Hope it helps you!!Ellis is going on a tour that costs $65 while on vacation. He was told to bring $118 to pay for the cost of the tour and dinner. Which of the following inequalities represents the money Ellis can spend on dinner?
A. $118 + d < $65
B. $118 + d > $65
C. $65 + d > $118
D. $65 + d < $118
Answer:
The answer should be D.
Mr. Garcia had some blueberries. He sold 2 3/4 kilograms of the blueberries and packed the rest equally into 9 bags. Each bag contained 1/4 kilogram of blueberries. Find the mass of blueberries that mr. Garcia had at first
Answer:
Mr. Garcia had 5 kilograms of blueberries at first
Step-by-step explanation:
to make this easiest, we can imagine that we're undoing mr. garcia's actions.
So, we can start by 'unpacking' mr garcia's bags
we know that each of the nine bags had 1/4 kilograms, so we can multiply 1/4 by 9 to find the collective mass packed into bags
(remember, multiplication is repeated addition. we could also add 1/4 + 1/4 + 1/4... nine times, but this would take a while)
so,
1/4 x 9 = 9/4
(9 = 9/1 [if that is how you're used to multiplying a fraction])
Then, he also sold 2 3/4 kilograms
so, we can add 2 3/4 + 9/4 to find the total mass of the blueberries at first
2 3/4 + 9/4 = 2 + 12/4
(12/4 = 3)
2 + 3 = 5
So, Mr. Garcia had 5 kilograms of blueberries at first
b solve each problem . use ñ= 3.14 1. what is the volume of a regular cylinder whose base has radius of 5 cm and has height of 4 cm? 2. the diameter of sphere is 10 cm. find the volume. 3. juice is sold in aluminum cans that measure 7 inches in height and 4 inches in diameter. how many cubic inches of juice are contained in a full can? 4. the square pyramid has a volume of 297 cm³. the area of the base is 81 cm². What is the height.? 5. A glass is 10 cm deep and 8 cm wide . How much liquid the glass hold?
#1
Volume
πr²hπ(5)²(4)100π3.14(100)314cm³#2
Radius=10/2=5cm
Volume
4/3πr³4/3π(5)³125(4/3π)500π/3523.3cm³#3
Volume
π(4/2)²(7)2²(7π)28π87.92in³#4
V=1/3a²hV=1/3(81)h27h=297h=11cm#5
radius=8/2=4
Volume
π(4)²(10)160π502.4cm³502.4mLAnswer:
1) 314 cm³
2) 523.33 cm³
3) 87.92 in³
4) 11 cm
5) 502.4 cm³
Step-by-step explanation:
Part 1[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 5 cmh = 4 cmπ = 3.14Substitute the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Volume} & =3.14 \cdot 5^2 \cdot 4\\& = 3.14 \cdot 25 \cdot 4\\& = 3.14 \cdot 100\\& = 314 \: \sf cm^3\end{aligned}[/tex]
Part 2[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3\quad\textsf{(where r is the radius)}[/tex]
Given:
d = 10 cm ⇒ r = 5 cmπ = 3.14Substitute the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Volume} & =\dfrac{4}{3} \cdot 3.14 \cdot 5^3 \\& =\dfrac{4}{3} \cdot 3.14 \cdot 125 \\& =\dfrac{500}{3} \cdot 3.14 \\& = 523.33\: \sf cm^3\:(2\:dp)\end{aligned}[/tex]
Part 3[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
d = 4 in ⇒ r = 2 inh = 7 inπ = 3.14Substitute the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Volume} & =3.14 \cdot 2^2 \cdot 7\\& = 3.14 \cdot 4 \cdot 7\\& = 3.14 \cdot 28\\& = 87.92\: \sf in^3\end{aligned}[/tex]
Part 4[tex]\textsf{Volume of a square pyramid}=\sf \dfrac{1}{3} a^2h \quad\textsf{(where a is the base edge and h is the height)}[/tex][tex]\textsf{Area of base of square pyramid}=\sf a^2 \quad\textsf{(where a is the base edge)}[/tex]
Given:
Volume = 297 cm³Area of base = 81 cm²[tex]\implies 81=a^2[/tex]
[tex]\implies a=\sqrt{81}[/tex]
[tex]\implies a=9\: \sf cm[/tex]
Substitute the given values into the formula and solve for h:
[tex]\begin{aligned}\implies \textsf{297} & =\dfrac{1}{3} \cdot 9^2 \cdot h\\\\297 & =\dfrac{81}{3} h\\\\891 & =81 h\\\\h & = 11 \: \sf cm\end{aligned}[/tex]
Part 5[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
d = 8 cm ⇒ r = 4 cmh = 10 cmπ = 3.14Substitute the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Volume} & =3.14 \cdot 4^2 \cdot 10\\& = 3.14 \cdot 16 \cdot 10\\& = 3.14 \cdot 160\\& = 502.4\: \sf cm^3\end{aligned}[/tex]
im a senior trying to graduate my school has me in the wrong classes i have adhd and i was supposed to be in diffrent classes but anyways i need help bad its due tn at 12 and if i dont get them in i dont graduate
Step-by-step explanation:
hope you can send the questions again because your question is to long to answer everything. I answered 1,2,3,4
the perimeter of a rectangle is 70 meters. the width of the rectangle is 10 meters. how long is the rectangle?
Is this right if not please tell me explanation
Answer:
No, right answer is = 1017.36
Answer:
1017.36
Step-by-step explanation:
All your work is correct, but the final answer is not. In the problem it says to use 3.14 as pi, but when you multiplied you did:
[tex]\pi * 6^{2}*9 = 1017.88[/tex]
instead of
[tex]3.14*6^{2}*9 = 1017.36[/tex]
like you had written above. So the final is actually supposed to be 1017.36
Jill, Ally, and Maria ran the 50-yard dash. Jill ran the race in 6.87 seconds. Ally ran the race in 6.82 seconds. Maria ran the race in 6.93. Who ran the race the fastest? Explain how you can use a place-value chart to find the answer.
Answer:
Ally
Step-by-step explanation:
The fastest time of the race will be the one lesser in value.
=============================================================
Comparing the tenths place :
⇒ Jill = 8 in the tenths place
⇒ Ally = 8 in the tenths place
⇒ Maria = 9 in the tenths place
Since Maria's time's tenth place value is greater than that of the other two, she had the slowest time.
===========================================================
Comparing the hundredths place (for Jill and Ally) :
⇒ Jill = 7 in the hundredths place
⇒ Ally = 2 in the hundredths place
Since Ally has the lower hundredths' place value, she has the fastest time.
interest on 2000 at 10% per 4years
Answer:
2,800
A = 2000(1 + (0.1 × 4)) = 2800
A = $2,800.00
Please Help
Use the probability distribution table to answer the question.
X / P
0 / 0.03
1 / 0.13
2 / 0.70
3 / 0.10
4 / 0.04
What is P(2
Considering the given discrete probability distribution, it is found that [tex]P(2 < X \leq 4) = 0.14[/tex].
What does the discrete probability distribution gives?It give the probability of each outcome, and each outcome is represented by a countable number.
The desired probability is:
[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4)[/tex]
As there is an open interval at X = 2, it does not enter the calculation. The values are:
P(X = 3) = 0.1.P(X = 4) = 0.04.Hence:
[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4) = 0.1 + 0.04 = 0.14[/tex]
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