Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.
Answer:
3
Step-by-step explanation:
Here is the full question :
This sign shows admission fees and ticket prices for a museum :
General Admission: $18
Tickets to Special Exhibits $7
Tickets to Movies $6
Note: Tickets to the Special Exhibit and the Movie are in addition to the General Admission fee
The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?
If only one person bought a special exhibit ticket, the amount spent on general admission = 61 - 7 = $54
Since everyone would have to pay the general admission ticket, we can determine the number of people in the group
number of people in the group = total amount spent on general admission / price of general admission per person
= $54 / $18 = 3
You can multiply 16<span> by 3 (the only prime factor of </span>24<span> not shared by </span>16), to find the LCM<span>: 3 * </span>16<span> = 48</span>
-- So 48 is the answer
Answer:-$60
Step-by-step explanation: the answer is -$60 because multiply 40 by 4 you get $160 and you only have $100 so then you would 100-160=-60
Answer:
18 x 6 =108. she spent 108 minutes reading.
Step-by-step explanation:
