Answer:
Step-by-step explanation:
Let x = number of books that Hannah donated
We know that the number of students is 150 and the total number of books is represented by b, we can write that as:
Average number of books donated by each student = 
Now we know that Hannah donated 3 times as much as the average. We can write that as:
The question doesn't make a lot of sense, but I think the answer is $0.25, because In the equation b=0.25t, each text costs 25 cents
Answer:
Longest possible length for each of the shorter lengths of ribbon is 9 cm because greatest common factor for both 36 and 45 is 9.
Step-by-step explanation:
Alannah has two ribbons one length is 36cm and other is 45cm.
It asked to find shorter length of ribbons that each cut into equal pieces with out no ribbon left over.
So, let's find greatest common factor for both 36 and 45.
Let's prime factor each number
36= 2*2*3*3
45= 3*3*5
So, GCF is product of common factors for both numbers.
GCF= 3*3 =9
So, longest possible length for each of the shorter lengths of ribbon is 9 cm.
Learn more about GCF in brainly.com/question/21612147.
The similarities are;
- Compass and a straight edge required for both construction
- Both construction includes a line drawn from the intersection of arcs to bisect a segment or an angle
- The bases for the construction of both bisector are the ends of segment and the angle to be bisected
- The width of the compass when drawing intersecting arcs, is more than half the width of the segment or angle being bisected
The differences are;
- Two points of intersection of arcs are used in the segment bisector while only one is requited in an angle bisector
- The bisecting line crosses the segment in a segment bisector, while it stops at the vertex of the angle being bisected in an angle bisector
The sources of the above equations are as follows;
The steps to construct a segment bisector are;
- Place the needle of the compass at one of the ends of the line segment to be bisected
- Widen the compass so as to extend more than half of the length of the segment to be bisected
- Draw two arcs, one above, and the other below the line
- Place the compass needle at the other end and with the same compass width draw arcs that intersects with the arcs drawn in the above step
- Draw a line segment by placing the ruler on the points of intersection of the arcs above and below the line
The steps to construct an angle bisector are;
- With the compass needle at the vertex, open the pencil end such that arcs can be drawn on the rays (lines) forming the angle
- Draw an arc on both lines forming the angle
- Place the compass needle at one of the intersection points and draw an arc in between the lines forming the angle
- Repeat the above step with the same compass width from the other intersection point with the rays forming the angle
- Join the point of intersection of the two arcs to the vertex of the angle to bisect the angle
Therefore, we have;
The similarities are;
- A compass and a straight edge can be used for both construction
- A straight line is drawn from the point of intersection of arcs to bisect the segment or the angle
- The arcs are drawn from the ends of the segment or angle to be bisected
- The width of the compass is more than half the width of the line or angle when drawing the arcs
The differences are;
- In a segment bisector, the intersection point is above and below the line, while in an angle bisector only one pair of arcs are drawn to intersect above the line
- The bisecting line passes through the segment being bisected, while the line stops at the vertex in an angle bisector
Learn more about the construction of segment and angle bisectors here;
brainly.com/question/17335869
brainly.com/question/12028523
Answer:
1. Multiply (2) by 2 to eliminate the x-terms when adding
2. Multiply (2) by 3 to eliminate the y- term
Step-by-step explanation:
Use this system of equations to answer the questions that follow.
4x-9y = 7
-2x+ 3y= 4
what number would you multiply the second equation by in order to eliminate the x-terms when adding the first equation?
4x-9y = 7 (1)
-2x+ 3y= 4 (2)
Multiply (2) by 2 to eliminate the x-terms when adding the first equation
4x-9y = 7
-4x +6y = 8
Adding the equations
4x + (-4x) -9y + 6y = 7 + 8
4x - 4x - 3y = 15
-3y = 15
y = 15/-3
= -5
what number would you multiply the second equation by in order to eliminate the y- term when adding the second equation?
4x-9y = 7 (1)
-2x+ 3y= 4 (2)
Multiply (2) by 3 to eliminate the y- term
4x - 9y = 7
-6x + 9y = 12
Adding the equations
4x + (-6x) -9y + 9y = 7 + 12
4x - 6x = 19
-2x = 19
x = 19/-2
= -9.5
x = -9.5
