It takes 45 minutes to bake 2 dozen cupcakes. At this rate, how many hours would it take to bake 8 dozen cupcakes? I need to show all work involved at arriving at the answer.

Answers

Answer 1

Answer: First you need to find how many minutes it takes to bake 1 dozen cupcakes.
45/2=22.5 minutes
Now you can start finding how many hours it would take to bake 8 dozen.
22.5 * 8 = 180.
180/60=3
Your answer is 3 hours!

Answer 2

Answer: well lets make these into fractions:)

2 8
--- -> ----
45 x

see this is simple now we just have to find x
what do we multiply too 2 to get 8?
4 right?
so keeping that in mind we do the same thing to the denominator(the 45)

sooooo 45 x 4 = 180
now this is in minuets and since there are 60 minutes in one hour lets
divide 180/60 = 3
see how simple this one was?
so it would take you three hours to make 8 dozen cupcakes

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Five over one fifty twoths equals what in fraction

Answers

so five over one fifty twoth's means 5/(1/52) to simplify, mutiply the whole fraction by 52/52 so
260/(52/52)=260/1=260
answer is 260

Mack designed a water fountain with a square pyramid flowing into a cube. The edges of the bases of the pyramid and the cube have the same length and the heights of the pyramid and the cube are the same. Describe the relationship between the volume of the cube and the volume of the pyramid.

Please help me on this question. There are six questions in total and I did the rest (finding the volume/surface area) but this one I just don't understand. I'm willing to give up 60 of the 70 points I have for help (help that tells me the answer and explains it). Maybe even all 70. Please help if you understand. Thank you, minna.

Answers

volume of pyramid = 1/3 b2h
volume of cube = b3

now , provided pyramid and cube have same edges and same heights.

thus, volume of pyramid = 1/3 b3
volume of cube = b3.

thus, ratio = 1/3b3/ b3 = 1/3.

Thus, volume of pyramid = 1/3volume of cube

$V_(cube)=a^3\ \ \ and\ \ \ V_(pyramid)= (1)/(3) \cdot a^2\cdot h=(1)/(3)a^3\n \n (V_(pyramid))/(V_(cube)) = ((1)/(3)a^3)/(a^3)= (1)/(3)\n \n \nA_(cube)=6a^2\n \nh^2=a^2+( (1)/(2) a)^2\ \ \ \Rightarrow\ \ \ h^2= (5a^2)/(4)\ \ \ \Rightarrow\ \ \ h= (a √(5) )/(2)\n\nA_(pyramid)=a^2+4\cdot (1)/(2)ah=a^2+2a\cdot (a √(5) )/(2) =a^2(1+ √(5)) \n \n (A_(pyramid))/(A_(cube))= (a^2(1+ √(5)) )/(6a^2) = (1+ √(5))/(6)$

if the ratio of students who prefer doing their homework before school to students who prefer doing homework afterschool is 7:15,what does the ratio 7 over 22 represent?explain.

Answers

the ratio 7:22 represents the ratio of students who prefer doing their homework before school to all students that do their homework

Find a 3 1/2% commission on a sale of $2,500

I have no clue how to do this plz help thnx:)

Answers

Multiply 3.5 times $2,500.00. You should come up with $87.50.

Use The distributive property to write an expression equivalent to 5 x (3 +4)

Answers

The equivalent expression of 5 × (3 + 4) using the distributive property is;

(5 × 3) + (5 × 4) = 35

We are given the expression;

5 × (3 +4).

Distributive property simply means we want to distribute a number outside a bracket to the numbers inside the same bracket. For example, we have

p × (q + r)

Using distributive property, we will have;

p × (q + r) = (p × q) + (p × r)

Applying the example used above to our question, we have;

5 × (3 + 4) = (5 × 3) + (5 × 4)

⇒ 15 + 20

⇒ 35

Thus, in conclusion, the equivalent of 5 × (3 + 4) using distributive property is (5 × 3) + (5 × 4) = 35

Read more at; brainly.com/question/2118428

Answer:

5 * 3 + 5 * 4 = 35

Step-by-step explanation:

Given : 5 x (3 +4).

To find : The distributive property to write an expression equivalent.

Solution : We have given 5 x (3 +4).

Using Distributing property : a ( b +c ) = a *b + a* c .

5 x (3 +4) = 5 * 3 + 5 * 4 .

5 * 3 + 5 * 4 = 15 + 20 = 35 .

Therefore, 5 * 3 + 5 * 4 = 35

Is three lateral faces that are rectangles a triangular prism

Answers

Yes, the prism having three lateral faces as rectangles is a triangular prism.

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