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Nina [5.8K]
4 years ago
13

There are 20 pens in a package. Ten of the pens are black, 8 are blue, and the rest are red.

Mathematics
1 answer:
Serjik [45]4 years ago
3 0

Answer:

1:5

Step-by-step explanation:

  Their is 2 red pens, because 20(pens) - 8(blue pens) = 12(pens [blue excluded]) and there are 10 black pens (12 - 10 = 2)

  So we can get an un-simplified ratio of 2:10, however in the list of answers you gave us:

  • 1:10
  • 1:5
  • 4:5
  • 5:1

  Their is no 2:10, so now we need to simplify our ratio by dividing both 2 and 10 by 2, 2 divided by 2 = 1 and 10 divided by 2 = 5. As we can now see this gives us the ratio of 1:5 which is our second answer choice, and therefore since 1:5 is equal to 2:10 our answer is 1:5

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What is the equation of the graphed line in point-slope form?
SSSSS [86.1K]
First, we find the slope
(4,0)(0,-3)
slope = (-3 - 0) / (0 - 4) = -3/-4 = 3/4

there can be 3 possible answers for this..
y - y1 = m(x - x1)
slope(m) = 3/4
using points (4,0)...x1 = 4 and y1 = 0
now we sub
y - 0 = 3/4(x - 4) <== this is one answer

y - y1 = m(x - x1)
slope(m) = 3/4
using points (0,-3)...x1 = 0 and y1 = -3
now we sub
y - (-3) = 3/4(x - 0) =
y + 3 = 3/4(x - 0) <== here is another answer

y - y1 = m(x - x1)
slope(m) = 3/4
using points (-4,-6)...x1 = -4 and y1 = -6
now we sub
y - (-6) = 3/4(x - (-4) =
y + 6 = 3/4(x + 4) <=== and here is another answer

5 0
3 years ago
Find the Value of A. a/15 = 5
mamaluj [8]

Answer:

A/15=5

so multiply 15*5

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therefore a=75

Step-by-step explanation:

7 0
3 years ago
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A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. Can such a system
elena55 [62]

Answer:

No, it cannot have a unique solution. Because there are more variables than​ equations, there must be at least one free variable. If the linear system is consistent and there is at least one free​ variable, the solution set contains infinitely many solutions. If the linear system is​ inconsistent, there is no solution.

Step-by-step explanation:

the questionnaire options are incomplete, however the given option is correct

We mark this option as correct because in a linear system of equations there can be more than one solution, since the components of the equations, that is, the variables are multiple, leaving free variables which generates more alternative solutions, however when there is no consistency there will be no solution

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3 years ago
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Answer:

96π or 301.59 in³

Step-by-step explanation:

V(cone) = 1/3πr²h

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6 0
3 years ago
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5
labwork [276]
This is called the Pythagorean theorem : a ² + b ² = c ². You can substitute any of the variable with any of the known numbers and then you all you have to do is isolate the variable. I hope that helps!!
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