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adelina 88 [10]
3 years ago
12

Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters

and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams.
Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer:

The density of the material must be at least 1.5 g/cm³.

Step-by-step explanation:

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X(x+1)(x+3)(x+5) - x(x+3)(x+5)
mash [69]

Answer:

x^4 + 8x^3 + 15x^2

Step-by-step explanation:

8 0
3 years ago
I need a little help! Can someone check my work? It's a written response with linear systems.
andreyandreev [35.5K]

Answer:

I'd say you need to be more specific.

Step-by-step explanation:

"Different" doesn't tell you much.

Consider the equations ...

  • y = 2x + 1
  • 4x - 2y = -2

These equations are "different", but they are <em>dependent</em>.

_____

I'd mentally (or actually) put the equations in the same form and compare the coefficients of x and y. If they have different ratios, the system is independent and consistent.

If they have the same ratio, the system will not have a single solution. Whether there is no solution or an infinite number of solutions depends on the constant, which I would examine next.

The system above can be put in the form

  • 2x -y = -1
  • 4x -2y = -2

In both cases, the ratio of the x coefficient to the y coefficient is 2/-1 = 4/-2 = -2. This means the lines are at least parallel, if not identical. The numbers in the second equation are all 2 times the numbers in the first equation, so the equations are <em>dependent</em>, and there are an infinite number of solutions. (Both describe the same line.)

If the second equation were 4x -2y = 1, then the two equations would be describing parallel lines, so they would be called <em>inconsistent</em>.

5 0
3 years ago
Please help!! 20 points
Vikki [24]

Answer:

Step-by-step explanation:

Just Trying to get points

3 0
2 years ago
3)
Komok [63]

Answer:

The other two angles are 75° and 125°.

Step-by-step explanation:

Let three angles are 2x, 3x and 5x.

The smallest angle is 50.

It means,

2x = 50

x = 25

So,

3x = 3(25) = 75°

5x = 5(25) = 125°

So, the other two angles are 75° and 125°.

5 0
3 years ago
Kelly and Greta are asked to write an equation for the scenario below. "One person was able to plant 4 trees in the same amount
Alina [70]

Answer:

y=\dfrac{1}{4}x

Kelly is correct.

Step-by-step explanation:

One person is able to plant 4 trees

Let x be the number of people

y be the number of trees

The situation is represented by

1x=4y\\\Rightarrow y=\dfrac{1}{4}x

5 people are able to plant 20 trees

5x=5(4y)\\\Rightarrow 5x=20y\\\Rightarrow y=\dfrac{5x}{20}\\\Rightarrow y=\dfrac{1}{4}x

So, the situation is represented by y=\dfrac{1}{4}x

Hence, Kelly is correct.

6 0
2 years ago
Read 2 more answers
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