Rocco bought a soft drink for three dollars and six candy bars, He spent a total of twenty one dollars. How

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

Answer:

x=3

Step-by-step explanation:

The equation will be 3+6x=21 since we know that the soft drink costs 3 dollars and he bought 6 candy bars(6 times x or 6x). We also know that the total cost for this merchandise is 21 dollars. Now you solve the equation! First subtract 3 from both sides(since the inverse for addition is subtraction we SUBTRACT 3 from bothe sides). You are left with 6x=21-3 or 6x=18. Now you divide Each side by 6(because the inverse operation of multiplication is division). You have the answer! x=18/6 or x=3! Hope it helped!!

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Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisecto

Genrish500 [490]

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