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jekas [21]
3 years ago
10

Suppose Celine wants to choose a box that maximizes the amount of cereal it can hold. Volume of Box 1: 3x5 Volume of Box 2: 4x5

– x4 If Celine decides the width of the cereal boxes will be greater than 1, which box will hold more cereal? Explain.
Mathematics
2 answers:
tekilochka [14]3 years ago
5 0

Answer:

If a box has a greater volume, it can hold more cereal.

Box 2 can hold more cereal. Although the value of x is unknown, it represents a length, so it must be greater than zero. For any x > 1, the volume of Box 2 is greater than the volume of Box 1.

Step-by-step explanation:

finlep [7]3 years ago
3 0

The <em><u>correct answer</u></em> is:

Box 2

Explanation:

In these expressions, x represents the width of the box.  We are asked about widths greater than 1; let's us 1.1 as an example:

Box 1:

3(1.1⁵) = 4.83153

Box 2:

4(1.1⁵)-(1.1⁴) = 6.44204 - 1.4641 = 4.97794

With a difference as small as a tenth, the volume of box 2 is larger.  The larger the difference in width, the larger the difference in volume, and the volume of box 2 will be larger every time.

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To prepare for a bicycling event, you warm up each day at a moderate pace then you ride hard for a number of miles. one day you
vovangra [49]

Answer:

The total distance covered is 15.6 miles.

Step-by-step explanation:

One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:

a ⇒ b

c ⇒ x

Then x=\frac{c*b}{a}

First, the simple rule of three can be applied in the following way: if 1 minute equals 60 seconds, 15 minutes equals how many seconds?

seconds=\frac{15 minutes*60 seconds}{1 minute}

seconds= 900

So now you can apply the following rule of three: if in 25 seconds you travel 0.1 miles, in 900 seconds how many miles do you travel?

distance=\frac{900 seconds*0.1 miles }{25 seconds}

distance= 3.6 miles

If you then ride hard for 12 miles, the total distance traveled will be the sum of both:

3.6 miles + 12 miles = 15.6 miles

<u><em>The total distance covered is 15.6 miles.</em></u>

6 0
3 years ago
Hi! May I please have some help?
max2010maxim [7]
Steps:
18 x 2
What is that?
You can also think of it as 9 x 4 if that is easier
Then whatever you got for that, add 21 then subtract 12 and add 1
6 0
3 years ago
Read 2 more answers
Every 6th voter gets a button. Every 7th voter gets a sticker. Which voter is the first to receive both items?
MrMuchimi

Answer:

42

Step-by-step explanation:

Use LCM of 6 and 7 to find a number that is the same:

6     12     18     24     30     36     42

7     14     21     28     35     42

Since 42 shows up in both, the 42th voter gets a button and sticker.

Hope this helped.

8 0
2 years ago
7) Solve the following system of equations below algebraically using substitution.
Pani-rosa [81]

Answer:

x = 3.25

y =4.75

Step-by-step explanation:

In order to Solve the following system of equations below algebraically using substitution method we say that;

let;

8x - 4y = 7 ..................... equation 1

x + y = 8.......................... equation 2

from equation2

x + y = 8.......................... equation 2

x = 8 - y.............................. equation 3

substitute for x in equation 1

8x - 4y = 7 ..................... equation 1

8(8-y) - 4y = 7

64-8y-4y=7

64-12y=7

collect the like terms

64-7 = 12y

57= 12y

divide both sides by the coefficient of y which is 12

57/12 = 12y/12

4.75 = y

y =4.75

put y = 4.75 in equation 3

x = 8 - y.............................. equation 3

x = 8 -4.75

x = 3.25

to check if your answer is correct, put the value of x and y in either equation 1 or 2

from equation 2

x + y = 8.......................... equation 2

3.25 + 4.75 =8

8=8.................... proved

8 0
3 years ago
What pattern do you noticed for each column​
Lorico [155]

Answer:

If you look at the "Standard Form" column, you can take any number from an upper row and divide it by 4 to get the number in the row below it.

For example: You can take 256 and divide it by 4, and that will give you 64. Like wise, if you take 64 and divide it by 4 you will get 16.

This tells us that every time you add 4 to the equation, your answer will keep increasing 4 times.

Step-by-step explanation:

Hope that makes sense :)

If you still don't get it, please let me know.

8 0
2 years ago
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