After adding 8 students to each of 6 same-sized teams, there were 72 students altogether.
After adding an 8-pound box of tennis rackets to a crate with 6 identical boxes of ping pong paddles, the crate weighed 72 pounds.
The first situation has all equal parts, since additions are made to each team. An equation that represents this situation is 6( x + 8 ) = 72, where x represents the original number of students on each team. Eight students were added to each group, there are 6 groups, and there are a total of 72 students.
In the second situation, there are 6 equal parts added to one other part. An equation that represents this situation is 6x + 8 = 72, where x represents the weight of a box of ping pong paddles, there are 6 boxes of ping pong paddles, there is an additional box that weighs 8 pounds, and the crate weighs 72 pounds altogether.
In the first situation, there were 6 equal groups, and 8 students added to each group. 6( x + 8 ) = 72.
In the second situation, there were 6 equal groups, but 8 more pounds in addition to that. 6x + 8 = 72.
Answer:
B
Step-by-step explanation:
Hope this helps!
Answer:
Ans: greater than 40 mileage Company A will charge less than Company B
Step-by-step explanation:
as company A charges a fix amount $93 for any distance and company B charges variable amount starting from $65.there will be a certain mileage after that the amount charged by company B should be greater than company A.
let for greater than m mileage company A will
charge less than company B.
charge for company A for m mileage= $93
charge for company B for m mileage= $65 + $0.70*m
so,
93 ≤ 65+0.70*m
93-65 ≤ 65+0.70*m -65
28 ≤ 0.70*m
28*10 ≤ 7 *m
280 ≤ 7m
280/7 ≤ 7m/7
40 ≤ m
Use the formula slope= y-y/x-x
-10-r/-2-8= 1/10
-10-r/-10= 1/10
Multiply the denominator (-10) on both sides
-10-r= -1
Add -10 to both sides
-r= 9
r= -9
Hope this helps!
Answer:
The coordinates of the circumcenter of this triangle are (3,2)
Step-by-step explanation:
we know that
The circumcenter is the point where the perpendicular bisectors of a triangle intersect
we have the coordinates
step 1
Find the midpoint AB
The formula to calculate the midpoint between two points is equal to
substitute the values
step 2
Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)
Is a horizontal line (parallel to the x-axis)
-----> equation A
step 3
Find the midpoint BC
The formula to calculate the midpoint between two points is equal to
substitute the values
step 4
Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)
Is a vertical line (parallel to the y-axis)
-----> equation B
step 5
Find the circumcenter
The circumcenter is the intersection point between the equation A and equation B
-----> equation A
-----> equation B
The intersection point is (3,2)
therefore
The coordinates of the circumcenter of this triangle are (3,2)
