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lutik1710 [3]
2 years ago
6

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The

volume of each small box is 6 cubic feet and the volume of each large box is 22 cubic feet. There were 2 more small boxes shipped than large boxes and the total volume of all boxes was 320 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.
Mathematics
1 answer:
Andrei [34K]2 years ago
4 0

Answer:

Step-by-step explanation:

x = # of small boxes and y = # of large boxes

6x + 22y = 320

x = y + 2

this would be ur system of equations

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Please help
meriva

Answer:

Step-by-step explanation:

we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes

q² = p² + r² - 2(p × r)CosQ

q² = 12² + 6² - 2(12 × 6)Cos92

q² = 144 + 36 - 2(72)Cos92

q² = 180 - 144 × - 0.0349

q² = 180 + 5.0256

q² = 185.0256

q = √185.0256

q = 13.6 to the nearest integer

8 0
3 years ago
Read 2 more answers
A card is drawn from a deck of 52 cards, what is the probability that it is a number 2?
Rudiy27
The answer in fraction form is exactly 1/13
The approximate answer in decimal form is 0.076923

To get this answer, note how there are four cards that have "2" on them. This is out of 52 total. So we divide the values: 4/52 = 1/13. Don't forget to fully reduce as much as possible. 

To go from 1/13 to 0.076923, you would use a calculator or long division
5 0
2 years ago
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The graph below shows the weekly salaries of two employees based on the number of items sold. Salaries A graph has items sold on
Free_Kalibri [48]

Answer: b

Step-by-step explanation:

3 0
2 years ago
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tyler claims that if two triangles each have a side length of 11 units and a side length of 8 units, and also an angle measuring
ExtremeBDS [4]

Answer: Yes I agree, they must be identical to each other.

Step-by-step explanation: One of the conditions based on which triangles are similar is the SSA criteria, that is, Side-Side-Angle.

According to Tyler, two sides have been measured as 11 units and 8 units respectively in both triangles. If the corresponding angle is the same as indicated in the question, then the third side must be the same measurement. However, if the angles are of different sizes, then the third side would also be different for both triangles. For instance if the angle in triangle A is wider than that of triangle B, then the third side in triangle A would be longer than that of triangle B and in that case they would not be similar. Also if the angle in triangle A is narrower than that of triangle B, then the third side of triangle A would be shorter than that of triangle B and both triangles would not be similar as well.

Please refer to the picture attached. In the upper part of the picture, triangle A and triangle B are not similar though they both have sides measuring 11 and 8 units because angle x is not equal to angle y. However in the lower part, both triangles A and B are equal because both have angle x and sides 11 and 8 units, and that makes the third side have the same measurement.

3 0
2 years ago
If I drive 8.5 laps around a circular race track and during that drive I go 32 mi, what is the radius of the track? Round to two
Black_prince [1.1K]

Answer: The radius of the track = 0.64 mi

Step-by-step explanation:

Fr circular track , Total distance covered around it = (Number of laps) x (Circumference)  

As per given,

32 mi = 8 x (Circumference)

Circumference = \dfrac{32\ mi}{8}=4\ mi

Also, Circumference = 2\pi r , where r= radius so,

2\pi r=4\ mi\\\\\Rightarrow\ r=\dfrac{4}{2\pi}\\\\\Rightarrow\ r=\dfrac{2}{\pi}

Put \pi= 3.14

r=\dfrac{2}{3.14}\approx0.64\ mi

Hence, the radius of the track = 0.64 mi

6 0
2 years ago
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