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Rudiy27
2 years ago
6

a contractor needs to purchase 500 bricks. the dimensions of each brick are 5.1 cm by 10.2 by 20.3 cm, and the density of each b

rick is 1920 kg/m^3. the maximum capacity of the contractor's trailer is 900 kg. can the trailer hold the weigh of 500 bricks? justify your answer.
Mathematics
1 answer:
AveGali [126]2 years ago
5 0
No, the trailer cannot hold the weight of the bricks. It is beyond the 900kg capacity of the trailer. The total weight of the bricks is 1,013.77 kilograms. The total weight was derived from getting the volume of the brick (0.051m x 0.102m x 0.203m), then multiplying the volume to the density of each brick (1.056 x 10^3m^3 x 1920kg/m^3). The weight of each brick is 2.03kg. Lastly, multiply the total number of bricks to the weight of each brick to get the total weight.
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Answer:

<CAB and <DAE are vertical angles

<EAB and <CAD are vertical angles

Step-by-step explanation:

this is because they are formed by the prolongation of the sides of the other angles and are opposite to them on the other side of the vertex.

8 0
2 years ago
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Caleb’s puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian’s office, what is the per
Fed [463]

Answer:

73\%

Step-by-step explanation:

Given: Present weight of Caleb’s puppy = 2,250 grams

Puppy weighed 600 grams at his last visit to the veterinarian’s office.

To find: percent increase in the puppy’s weight rounded to the nearest whole number

Solution:

Increase in puppy's weight = 2250 - 600 = 1650 grams

Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = \frac{1650}{2250}(100)=73.33 \%

73.33\% is rounded to 73\%

8 0
2 years ago
Which binomial expressions are factors of 5x3+8x2−7x−6?
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Answer:

(x-1), (x+2)

Step-by-step explanation:

When I factor 5x^3+8x^2-7x-6, I get \left(x-1\right)\left(x+2\right)\left(5x+3\right).

<em>Hope this helps!!</em>

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2 years ago
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The gross income of Maurice Vaughn is $785 per week. His deductions are $42.25, FICA tax; $90.33, income tax; 2% state tax; 1% c
vivado [14]
State tax = 2% of 785 = 0.02 x 785 = $15.70
city tax = 1% of 785 = 0.01 x 785 = $7.85
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Total deductions = $42.25 + $90.33 + $15.70 + $7.85 + $23.55 = $179.68

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3 0
2 years ago
The scores on a statistics test had a mean of 81 and a standard deviation of 9. One student was absent on the test day and his s
Art [367]

Answer: E) Mean will decrease, standard deviation will decrease

Step-by-step explanation:

Initial mean = 81

Initial standard deviation = 9

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Also, taking a look at the standard deviation which is 9, we can conclude that the variability in initial scores from the mean scores is high. However, the new score of 78 and the initial mean are very close, and tend to low variation. Hence, adding the new score will lead to a decrease in variability and hence a decrease in the value of standard deviation.

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2 years ago
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