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pashok25 [27]
3 years ago
5

50+ PTS PLEASE HELP WILL GIVE BRAINLIEST A right rectangular prism has these dimensions: Length: 1 1/4 units. Width: 5/8 unit. H

eight: 3/4 unit. How many unit cubes of side length 1/8 unit are required to pack the prism without any gap or overlap? 60 75 150 300
Mathematics
2 answers:
Oliga [24]3 years ago
5 0

Answer:

Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27

Volume of cube = 1/6 x 1/6 x 1/6 = 1/216

Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160

eddibear3a and 47 more users found this answer helpful

Step-by-step explanation:

Lisa [10]3 years ago
5 0

Volume of prism = l x w x h

Volume of right rectangular prism = 1 1/4 x 5/8 x 3/4 = 75/128

Volume of cube = s^3

= 1/8^3 = 1/512

Total cubes = volume of prism / volume of cube

Total cubes = 75/128 / 1/512

Total cubes = 300

The answer is 300

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34kurt

Answer:

  5.61×10^8 ton/day

Step-by-step explanation:

  (2.08×10^5 ft³/s)·(8.64×10^4 s/day)·(6.24×10^1 lb/ft³)/(2×10^3 lb/ton)

  = (2.08·8.64·6.24/2)×10^(5+4+1-3) ton/day

  ≈ 56.07×10^7 ton/day

  ≈ 5.61×10^8 ton/day

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We have expressed the answer using 3 significant digits, to match the precision of the rate and weight.

4 0
4 years ago
Consider a home mortgage of ​$225,000 at a fixed APR of 4.5 ​% for 30 years. a. Calculate the monthly payment. b. Determine the
White raven [17]

<u>The formula for the monthly payment</u>.....

M= \frac{P(1+r)^nr}{[(1+r)^n] -1} , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate =\frac{4.5\%}{12}= 0.375\% = 0.00375

Total number of months = (30*12)months=360 months

Also given that, the principal amount is $225000

a.  So, the monthly payment will be.....

M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140

Thus, the monthly payment will be approximately $1140


b. The <u>total amount paid</u> over the term of the loan will be: \$ 1140*360 months = \$ 410400


c.   As the principal amount was $225000 , so the amount of interest = (\$ 410400- \$ 225000)= \$ 185400

So, the percentage of amount that is paid toward the principal =\frac{225000}{410400}*100\% =54.82\%

and the percentage of amount that is paid toward the interest =\frac{185400}{410400}*100\%=45.18\%

4 0
3 years ago
I need help on this question. Does anybody know how to do it??
marta [7]
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4 0
3 years ago
Michelle is trying to buy a car that costs $35,550, and she has saved up $20,700. She borrowed the remaining amount that she nee
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Answer: $ 4,515

Step-by-step explanation:

\\The cost of the car she wanted to buy = $35,550

\\Her savings = $20,700

\\That means she needs( $35,550 - $20,700) more in order for her to buy the car.

\\Amount borrowed from the finance company  = $35,550 - $20,700

\\= $ 14,850

\\Since she now owes the financial company a total of $19,365, then the interest accrued by the loan she borrowed is given by:

\\$19,365 - $ 14,850

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7 0
3 years ago
P(-2) = 1P(-1) =3 P(1) = 0 P(2) = 4
ratelena [41]

p(-1) p(-2) p(1) p(6)= 4

8 0
3 years ago
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