Carla is baking brownies for the school bake sale. The batter fills a pan that is 20 cm long by 16 cm wide by 4.4 cm deep.Then, she changes pans so that the new one is 20 by 20 by 5 cm deep. How far is the batter now from the top? Round to the nearest tenth.Also, pleaseshow work. That way I can look at how the problem is solved. Thank you!

Answers

Answer 1
Answer:
The volume of the first pan is (length x width x depth) =

                                               (20cm x 16cm x 4.4cm) = 1408 cm³ .

The batter fills it, so we know there is 1408 cm³ of batter.

Somehow, Carla manages to transfer every drop and smidgen of batter to
the new pan, leaving not a single drip of it in the first pan.  So we know that
there is 1408 cm³ of batter in the new pan.  It will spread out to fill the whole
length and width of the new pan, and we're to calculate how deep it will be.

                         (length x width x depth)  =  1408 cm³

                       (20cm x 20cm) x (depth)  =  1408 cm³

                                (400 cm²) x (depth)  =  1408 cm³

Divide each side by  400cm² :      depth  =  1408 cm³ / 400cm²

                                                               =  3.52 cm

Since the new pan is 5 cm deep, this works.  The batter doesn't
overfill it and glurb out over the top and all over the counter.

The question asked how far the batter is from the top of the pan.

The pan is        5 cm deep.
The batter is 3.52cm deep.

The batter comes up to (5 - 3.52) = 1.48 cm from the top of the pan.

Rounded to the nearest tenth of a cm, that's  1.5 cm  from the top.


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In a sale, normal prices are reduced by 12%The sale price of a digital camera is £132.88
Work out the normal price of the digital camera
(3marks)

Answers

132.88/88=1.51
1.51*100=151
the normal price is £151
12\%-reduce\n 100\%-12\%=88\%-reduced\ price\n 132.88-88\%\n x\ \ \ \ \ \ \ -100\%\n\n x=151

Two buses leave towns 948 miles apart at the same time and travel toward each other. One bus travels 10 mi h slower than the other. If they meet in 6 hours, what is the rate of each bus?

Answers

Answer:

Use a d=rt table, find x, and plug it in for the part you need. 74 & 84

Step-by-step explanation:

Create a chart for the 2 buses that shows the distance, rate, & time. Calculate the distance by multiplying the rate and time.

x is the rate of speed of the faster bus

Bus 1: D (6x) = r (x) × t (6 hrs)

Bus 2: D (6x-60) = r (x-10) × t (6 hrs)

We also know the total distance traveled was 948 miles. So 6x-60+6x=948.

Then we combine like terms.

12x-60=948

Now isolate the x term by adding 60 to both sides.

12x=1008

Divide both sides by 12 to isolate the x.

x=84

Finally, plug the x back in to the rates to determine the rate of the buses.

Bus 1 - 84 mph

Bus 2 - 74 mph

Insert commas in the correct positions for the number 3790241068. A. 37,902,410,68 B. 37,90,24,10,68 C. 379,024,106,8 D. 3,790,241,068

Answers

The answer is 3,790,241,068 which is D
3,790,241,068 is the correct answer

What is the midpoint of 18.6 and 18.5?

Answers

The midpoint of 18.6 and 18.50 is 18.55.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

18.6 and 18.5

The midpoint will be the average value.

Now,

Average = (18.6 + 18.5) / 2

Average = 37.1/2

Average = 18.55

Thus,

The midpoint is 18.55.

Learn more about mean here:

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The midpoint of 18.6 and 18.5 is 18.55 

What is 22% expressed as a fraction in simplest form?

Answers

22% when expressed as a fraction is 22/100.
 to write this in the simplest form, we have to keep dividing both numerator and denominator by a common number.
22/100 , both are divisible by 2. therefore when 22/100 is divided by 2
(22/2)/(100/2) =  (11)/(50)
then we get 11/50. this cannot be divided any further by a common factor to both. therefore simplest form is 11/50

11/50 is 22% expressed as a fraction in simplest form.

Here, we have,

22% when expressed as a fraction is 22/100.

to write this in the simplest form, we have to keep dividing both numerator and denominator by a common number.

22/100 ,

both are divisible by 2.

therefore when 22/100 is divided by 2

we get,

22/2 / 100/2

=11/50

then we get 11/50.

this cannot be divided any further by a common factor to both.

therefore simplest form is 11/50.

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A school held a jump-roping contest. Diego jumped rope for 20 minutes. Jada jumped rope for 15 minutes. What percentage of Diego’s time is that?
Lin jumped rope for 24 minutes. What percentage of Diego’s time is that?
Noah jumped rope for 9 minutes. What percentage of Diego’s time is that?
Diego 20/20 = 1
Jada 15/20 =
Lin 24/20 =
Noah 9/20 =

Answers

Answer:

Jada 15

Lin 24

Noah 9

Diego 20

Step-by-step explanation:

Hope I helped