Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra wants to pour the batter into ice cream cones. She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm. How many whole cones can Alandra fill?

Answers

Answer 1

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

L is its lengthW is its widthH is its height

The volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where

r is the radius of its baseh is its height

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

h = 9 cm

∵ r = [tex]\frac{1}{2}[/tex] diameter = [tex]\frac{1}{2}[/tex] (4)

r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = [tex]\frac{1}{3}[/tex] (π) (2)² (9)

V = 12π cm³

→ To find the number of cones divide the volume of the batter by

   the volume of each cone

Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

Alandra can fill 60 whole cones


Related Questions

Mr. Yasger pays $174 every 4 months for guitar lessons. At this rate, how much will he pay for 3 years of guitar lessons? (Hint: How many months are in a year?)

Answers

There are 12 months in a year so if he pays every 4 months, he pays 3 times a year or $522 in total for a year (174 x 3 = 522). If he has pays that for three years it would be $1,566 (522 x 3).

PLEASEEEE HELPPPPPP!

Answers

Answer:

We conclude that the value of 'a' will be:

[tex]a=\frac{x+b^2}{2}[/tex]

Hence, option (2) is true.

Step-by-step explanation:

Given the equation

x = 2a - b²

Let us solve the equation to solve for 'a'

[tex]x=2a-b^2[/tex]

switching sides

[tex]2a-b^2=x[/tex]

Add b² to both sides

[tex]2a-b^2+b^2=x+b^2[/tex]

Simplify

[tex]2a=x+b^2[/tex]

Divide both sides by 2

[tex]\frac{2a}{2}=\frac{x}{2}+\frac{b^2}{2}[/tex]

Simplify

[tex]a=\frac{x+b^2}{2}[/tex]

Therefore, we conclude that the value of 'a' will be:

[tex]a=\frac{x+b^2}{2}[/tex]

Hence, option (2) is true.

What is the slope of a line that is perpendicular to a line whose slope is -1/3.

Answers

Answer:

3

Step-by-step explanation:

the perpendicular slope is the negative reciprocal.

-1 divided by -1/3 = 3

What is the x intercept for 6x - 7y = 42

Answers

Answer:

(7,0)

Step-by-step explanation:

Answer:

x = 7 (7,0)

Step-by-step explanation:

6x - 7y = 42

cancel out the y

6x -7 (0) = 42

6x = 42

divide both sides by 6

x = 7

Hope this helps!!!

Item 8 Starting at 1:00 p.M., the temperature changes −4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours x it will take to reach −1°F. An equation is ? =−1. It will take hours to reach −1°F.

Answers

Answer:

The answer is "9".

Step-by-step explanation:

Given equation:

[tex]\to 35-4x=-1 \\\\\to 35+1 = 4x\\\\\to 36=4x\\\\\to 4x= 36\\\\\to x=\frac{36}{4}\\\\\to x=9[/tex]

In a smoothie the ratio of ounces of blueberries to ounces of yogurt is 4 to 5.

How many ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries?
A
8 ounces

B
12 ounces

C
12.5 ounces

D
20 ounces

Answers

Answer:

12.5

Step-by-step explanation:

for people who don't get another  quizzez assignment about ratios from their teachers, this question showed & the correct answer was 12.5 Hope this answer somehow helps.

Ounces of yogurt need for 10 ounces of blueberries is 8 ounce

Given that;

Ratio of ounces of blueberries to ounces of yogurt = 4:5

Find:

Ounces of yogurt need for 10 ounces of blueberries

Computation:

Ounces of yogurt need for 10 ounces of blueberries = 10[4 / 5]

Ounces of yogurt need for 10 ounces of blueberries = 2[4]

Ounces of yogurt need for 10 ounces of blueberries = 8 ounce

So, Option "A" is the correct answer to the following question.

Learn more:

https://brainly.com/question/19833884?referrer=searchResults

The mean (average) weight of three dogs is 38 pounds. One of the dogs, Shaggy, weighs
46 pounds. The other two dogs, Eda and Bruno, have the same weight. Find Eda's weight.

Answers

I honestly do not know this seems to me to be a trick question

PLEASE ANSWER ASAP!
LOOK AT THE PIC ATTACHED:
(please show work!)

Answers

The answer is B. (Perpendicular)

Explanation: Reduce the expression, if possible, by cancelling the common factors.

y2-y1/x2-x1 = ?

-20-20/30-10 = -2

HELPPPPPPPPPPPP PLSSSSSS

Answers

Answer:

(x, y) → (x + 8, y - 3)

Step-by-step explanation:

To find the rule of translation, we can find one point on both figures to calculate the change in the x-axis and y-axis.

Let's say we take the point D (0, -1).

(-1, 0) → (7, -3)

Change in x = 7-(-1)

                    = 7 + 1

                    = 8

Change in y = -3-0

                    = -3

Thus, the change is (x + 8, y - 3)

find the determinant of the following matrix. [2 3] [1. 4]​

Answers

The determinant of a 2x2 matrix is defined as

[tex]\left|\begin{array}{ccc}a&b\\c&d\end{array}\right|=ad-bc[/tex]

So, in your case, the determinant is

[tex]2\cdot 4-1\cdot 3 = 8-3=5[/tex]

The determinant of the matrix will be "5".

Given matrix is:

[tex]\begin{bmatrix}2 & 3 \\ 1 & 4\end{bmatrix}[/tex]

As we know that,

→ [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = ad -bc[/tex]

then,

The determinant will be:

= [tex]2\times 4-1\times 3[/tex]

= [tex]8-3[/tex]

= [tex]5[/tex]

Thus the above response is correct.

Learn more about determinant here:

https://brainly.com/question/20333341

HELP PLEASE!!!!! I NEED HELP!!!!!

Answers

Answer: it B

Step-by-step explanation: if it wrong sorry and please don't report me

Answer:

17/8

Step-by-step explanation:

Can anyone give me a few reasons why school cafeteria food is bad

Answers

Answer:

the food is always bad

Step-by-step explanation:

and second they give you like not that much to eat anyways.

A store charges customers $85 for a video game. This is 170% of what the store paid for the game.

How much did the store pay for the game?

How much money does the store profit (make) off of the sale of a video game?

Answers

Answer:

100÷170×85=$50

85-50=$35

If Mrs. Bugarin has 30 oranges and 20 are rotten, what percent of oranges are not rotten?

Answers

Answer:

6 percent

Step-by-step explanation:

i believe this is the answer

Help me I am going to dye I have bean on the same question for 20 min! Brooo I'm in 6th grade and don't know what multiply 6 and 42 using distributive property is OMG HELP ME

Answers

Answer:

6 * 42 = 6 * (20 + 22)

= (6 * 20) + (6 * 22) = 120 + 132 = 252

Step-by-step explanation:

Here, we want to multiply 6 by 42 using distributive property

In this case, we can have the distributive property as;

a * ( b + c) = ab + bc

Thus, we can represent 42 as (20 + 22)

so 6 * 42 becomes 6 * (20 + 22)

Using the distributive property, we have

(6 * 20) + (6 * 22)

= 120 + 132 = 252

please, someone help me

Answers

Answer:

the equation of the parabola in vertex form is y=3(x+2[tex])^{2}[/tex]-4

Step-by-step explanation:

Please Help!!
Simplify the expression (-3i)(-4i)

Answers

Answer:

......................................................................................

Step-by-step explanation:

Answer:

i=-12

Step-by-step explanation:

What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?

Answers

Answer:

A. [tex]\displaystyle y = -\frac{1}{2} x -4[/tex]

Step-by-step explanation:

Equation of a Line

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope

b  = y-intercept.

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where:

(h,k) is a point through which the line passes.

The line we are looking for has a slope defined for the fact that is perpendicular to the line shown in the graph.

Two perpendicular lines with slopes m1 and m2 satisfy the equation:

[tex]m_1m_2=-1[/tex]

We'll find the slope m1 of the given line and then solve the above equation for m2:

[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]

The line of the graph passes through two clear points (-3,-3) and (0,3). Let's calculate the slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m_1=\frac{3+3}{0+3}=\frac{6}{3}=2[/tex]

Now we calculate the second slope:

[tex]\displaystyle m_2=-\frac{1}{2}[/tex]

We use the point-slope form, given the point (6,-7):

[tex]\displaystyle y + 7 = -\frac{1}{2} ( x - 6 )[/tex]

Operating the parentheses:

[tex]\displaystyle y + 7 = -\frac{1}{2} x +\frac{1}{2}\cdot 6 )[/tex]

Simplifying:

[tex]\displaystyle y = -\frac{1}{2} x +3-7[/tex]

A. [tex]\mathbf{\displaystyle y = -\frac{1}{2} x -4}[/tex]

there is also a D is its not any just say none so i know its d pls dont joke ima get kicked out the class is i dont do good​

Answers

Answer:

b

Step-by-step explanation:

son

find the common ratio and explicit formula for 2, 3, 4.5, 6.75,

Answers

Step-by-step explanation:

r=3/2=(4.5)/3=3/2

it is geometric, so we will use this equation:

a(n)=a1*(r)^(n-1)

and we have a(1)=2 , r=3/2    

So  explicit formula:

a(n)=2*(3/2)^(n-1)

hope this helps

Answer: B

Step-by-step explanation:

on edge warm-up

A bag of rice weighs 20 kg more than one of sugar. If 50 kg of sugar is added to the second bag, its weight becomes twice that of the bag of rice. Find the weight of the bag of rice ​

Answers

The bag of rice is 30 kg and the bag of sugar is 10kg
30kg is 20kg more than 10kg
Then 10kg+50kg = 60kg
Which is twice the 30kg bad of rice

What is a positive infinitesimal quantity?

Answers

Answer:

it is a number that is a infinite in its size (infintely big,infintely small, ect.)

Step-by-step explanation:

a great example of this is the number 0

Plz help me I really need help

Answers

Answer:

it 2 parts away

Step-by-step explanation:

Answer:

(0,0)  (20, 10)  (40,10)   (60,40)  (100,0)

 A          B           C            D           E

Step-by-step explanation:

Translate the following equation into a verbal sentence: x-6=2(8+x)

A- six less than x is two times the sum of eight and x

B-the difference between 6 and x is two times eight plus

C-six less than xis two times eight plus x

D- the difference between 6 and x is two times the sum of eight and x

Answers

I’m wolves and I have to go go back with my friends lol I have a friend that likes to play with me lol I just don’t want you guys don’t want me wolves lol I just got a

Can someone plss help

Answers

Answer:

it's answer is B. 9/100

A 32-ounce package of a snack mix is 24 percent pretzels. How many ounces are pretzels?
0.706 ounces
0.768 ounces
7.06 ounces
7.68 ounces

Answers

Answer:

0.768 would be the amount of pretzels in ounces

Step-by-step explanation:

24% of 32 =0.768

how i got 24%?

24% of 100= 24

feel free to like and give brainliest

Answer:

D

Step-by-step explanation:

At Algorithms Pizza they have the exponential pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. If Connor ordered the exponential pizza and was charged $29.25, how many toppings were on his pizza?

Answers

Answer:

There were 5 toppings on his pizza.

Step-by-step explanation:

From the information given, you can say that the total cost of the pizza would be equal to the cost of the 24-inch cheese pizza plus the result of multiplying the cost of each topping for the number of toppings, which can be expressed as:

c=17.50+2.35x, where:

c is the total cost

x is the number of toppings

Now, you can replace the total cost with $29.25 and solve for x:

29.25=17.50+2.35x

29.25-17.50=2.35x

11.75=2.35x

x=11.75/2.35

x=5

According to this, the answer is that there were 5 toppings on his pizza.

What is -12.25 / (1.4)?
A. -13.65
B. -8.75
C. 8.75
D. 13.65

Answers

Answer:-8.75

Step-by-step explanation:

Answer:

C. -8.75

Step-by-step explanation:

Ultimately, you are dividing a negative number by a positive number which makes the answer negative.  The only way the answer can be positive if it's dividing by two negatives or two positives.  You can also assume that since the divider is greater than 1, it is usually less than the first number for this statement which makes your answer -8.75.

I’ll give brainlest to the first one who answer the one my mouse is on it’s not that one!

Answers

Answer:

The answer is A

Step-by-step explanation:

A florist has 2,550 flowers to make into small bouquets. She wants 6 flowers in each bouquet.
How many bouquets can she make? You may find using Place Value Sections to solve the problem
helpful. Drag and drop each number into the correct box to complete the division.
425 flowers
6
2,550 A
30
-
2400
120
- 30
0
0
30
400
20
5
2400
425
150

Answers

Answer:

The answer is 425

Step-by-step explanation:

Place value would be...

400

20

5

or 400+20+5

Sorry I couldn't help too well!

Hope this helps!! Brainliest is appreciated!! Happy Holidays!!!

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