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3 years ago

bruce is playing with a set of base-ten blocks. he has 65 ten-blocks and 7 one-blocks. what is the value of his blocks

1 answer:

5 0

The 65 tens blocks can be solved by doing 65x10 which is 650. the 7 ones blocks can be solved by 1x7 which is 7 so you then add up 650 and 7 to get a grand total of 657

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A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

2 years ago

3/4 as a percentage............

Charra [1.4K]

75%.

3/4 is .75. Drag the decimal to the right two times and it is 75%.

3 0

2 years ago

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Write an equation for line N

Annette [7]

Answer:

y=x-1

Step-by-step explanation:

6 0

2 years ago

Which statements are true about the median of a data set? Check all that apply. The median isn’t affected much by one outlier. T

sasho [114]

These are all the right answers:

The median isn’t affected much by one outlier.

The median is the number in the middle of an ordered set of data.

To find the median of an even data set, find the average of the two middle numbers.

Hope this helped :)

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3 years ago

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I’ll give brainliest help ASAP

vazorg [7]

Answer:

your answer will be 6weeks

hope ur help

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2 years ago

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