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solniwko [45]
3 years ago
13

Solve the problem given below

Mathematics
2 answers:
Marina86 [1]3 years ago
8 0
X=12, the box when assembled is 2 inches tall and 8 inches long
vladimir1956 [14]3 years ago
7 0

<u>Answer</u>

<em>12 in by 12 in</em>

<u>Explanation</u>

The original length = x

This makes the length of the cube made to be = x - (2×2)

                                                                               = (x - 4) in

height of the cube = 2 in

Volume of the cube = (x - 4) × (x - 4) × 2 = 128

                                 = (x² - 8x + 16) × 2 = 128

                                = 2x² - 16x + 32 = 128

                                 = 2x² - 16x + 32- 128=0

                                 = 2x² - 16x - 96 = 0

                                 = x² - 8x - 48 = 0

lets use the factor method to solve the quadrilatic equation above,

x² - 8x - 48 = 0

proctuct = -48

sum = -8

The two factors are; -12 and 8.

(x + 8)(x - 12) = 0

So the value of x are 12 and -8.  Since x is a length, it can not be negative.

∴ x = 12 in.

The original dimensions of the sheet are <em>12 in by 12 in</em>.

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A bowling ball has a diameter of 8.5 inches. If it is rolled down a 60 foot bowling lane, how many complete revolutions will it
Lemur [1.5K]

Answer:

85

Step-by-step explanation:

12 in = 1 ft

first you need to convert 60ft to in:

60 * 12 = 720in

then divide 720(the amount of space you are covering by 8.5

720/8.5 = 84.7

then i guess you can round it to a full revolution so it would be 85

4 0
3 years ago
I'd love some help on this question. I do not understand how you would go about working this out, so please explain the working
zhannawk [14.2K]
Area = length x width and volume = length x width x height soo you would have to multiple 4 and 25 and that’s 100
7 0
2 years ago
Select two prime numbers that have a sum of 18.
AURORKA [14]

Step-by-step explanation:

option e.5,13

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

6 0
2 years ago
grade 5 math. How would I write a ratio for a project when asked to compare prices from two stores, IE 32 slices of texas toast
REY [17]
To compare, think of the ratios as a fraction. so it is 32 slices per $7.99.
You can also say $7.99 per 32 slices.
so it can be  ̲7̲.̲9̲9̲ ̲   or the other way around.
                       32
To find the unit price, or the price of 1 item, you have to divide the price by the amount.
So 7.99 divided by 32 is <span>0.249687, but we don't have thousandths of a cent, so we round to the hundredth.
$0.25 is the unit price, or the price of 1 toast, rounded to the nearest cent.

So let's try another one, this time we have 2 different rates, and we will compare them.

So let's say we are buying cheese. Store A sells 12 blocks of cheese for $14.99, and Store B sells 20 blocks for $23.99.
So first we have to find the unit rate for each.

             Store A                                 Store B
         14.99 per 12                        23.99 per 20
                                         
             </span> ̲1̲4̲.̲9̲9̲ ̲                                  ̲2̲3̲.̲9̲9̲ ̲<span>
                 12                                         20

14.99 / 12 is </span>1.24916                    23.99 / 20 is <span>1.1995</span>
<span>$1.25, if rounded to the cent.    $1.20, if rounded to the cent
</span>1 block is $1.25 in Store A.         1 block is $1.20 in Store B

Store B sells for cheaper.

Hope that helps.
7 0
3 years ago
PLEASE HELP ME!!
Step2247 [10]

Answer:

A = $10,441.68

A = P + I where

P (principal) = $10,400.00

I (interest) = $41.68

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 0.02/100

r = 0.0002 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,400.00(1 + 0.0002/2)(2)(20)

A = 10,400.00(1 + 0.0001)(40)

A = $10,441.68

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.

8 0
2 years ago
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