Answer:
x = -2
Step-by-step explanation:
For this problem, we must simply solve for x. To do this, we will need equation operations, and the use of the distributive property.
Let's work this line by line until we have the value for x:
3{-x + (2x + 1)} = x - 1
3*-x + 3*(2x + 1) = x - 1
-3x + 6x + 3 = x - 1
3x + 3 = x - 1
2x = -4
x = -2
Now we can check our answer for x by plugging back into the original equation and see if the left hand side is equal to the right hand side:
3{-x + (2x + 1)} = x - 1
3{-(-2) + (2(-2) + 1)} ?= (-2) - 1
3{2 + (-4 + 1)} ?= -3
3{2 + (-3)} ?= -3
3{-1} ?= -3
-3 == -3
Thus, we have found the solution for x to be equivalent to negative 2.
Cheers.
Answer:
350 Douglas fir, 500 Ponderosa pine
Step-by-step explanation:
Let f = the number of fir trees
and p = the number of pine trees.
Then, we have two conditions:
(1) f + p = 850
(2) 300f + 225p = 217 500
(3) p = 850 -f Subtracted f from each side of (1)
(4) 300f + 225(850 - f) = 217 500 Substituted (3) into (3)
300f + 191 250 - 225f = 217 500 Distributed 225
75f + 191 250 = 217 500 Distributed the 7
75f = 26 250 Subtracted 191 250 each side
(5) f = 350
350 + p = 850 Substituted (5) into (1)
p = 500 Subtracted 350 from each side
The company bought 350 fir trees and 500 pine trees.
Check:
(1) 350 + 500 = 850 (2) 300 × 350 + 225 × 500 = 217 500
850 = 850 105 000 + 112 500 = 217 500
217 500 = 217 500
OK.
Volume of sphere = 1766.25 cm^3
Step-by-step explanation:
The radius of sphere = 7.5 cm
Volume of sphere = ?
The formula used is:
Putting values:
So, Volume of sphere = 1766.25 cm^3
Keywords: Volume of sphere
Learn more about Volume of sphere at:
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<span><span><span>In geometry, how do defined terms and undefined terms relate to each other?
</span><span><span>Ask for details </span> <span>Follow </span> Report</span> <span>by <span>Da5ncing4bearnelogi </span>05.08.2016</span></span>Answers<span><span>Hussain514 </span> Ambitious</span>In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane.
POINT (an undefined term)
In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y).
LINE (an undefined term)
In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them.
PLANE (an undefined term)
In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC).
Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point.
Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them.
Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle. <span>
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Answer:
Step-by-step explanation:
There are 60 minutes in an hour, thus
56 minutes = 
of an hour
To simplify divide 56 and 60 by 4
56 minutes = ← in simplest form
