Answer:
There were 76 childrens and 14 adults.
Step-by-step explanation:
Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:
children + adults = 90
Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:
5*children + 12*adults = 548
With these two equations we have a system of equations shown below:
children + adults = 90
5*children + 12*adults = 548
In order to solve this we will multiply the first equation by -5, and sum both equations we have:
-5*children - 5*adults = -450
5*children + 12*adults = 548
7*adults = 98
adults = 98/7 = 14
children + 14 = 90
children = 90 - 14 = 76
There were 76 childrens and 14 adults.
Answer:
Step-by-step explanation:
<u>Original figure:</u> PQRTS
<u>Dilated figure:</u> P'Q'R'S'T'
<u>Take one of the corresponding sides of the figure and find the scale factor:</u>
- SR = 2, S'R' = 4
- Scale factor is 4/2 = 2
<u>The dilation rule as per above is:</u>
Correct option is A
Answer:
1. 702 square centimeters
2. m∠YWX = 63°
Step-by-step explanation:
1.
The total surface area is area of all the sides.
- There are 2 triangles (slanted side) with base 14 and height 11. Thus area would be

- There are 2 triangles (another slanted side) with base 10 and height 12. Thus area would be

- There are two rectangles with base 10 and height 6. Thus area would be

- There are two rectangles with base 14 and height 6. Thus area would be

- The bottom is a rectangle with area 10 * 14 = 140
Adding all these up 154 + 120 + 120 + 168 + 140 = 702 centimeters square.
2.
Angle WYX is equal to 46° (vertical angles are equal).
Now looking at triangle XWY, we know all three angles will add up to 180°. Given x =71° and Y = 46°, we can figure out W (Angle YWX)
71 + 46 + Angle YWX = 180
Angle YWX = 180 - 71 - 46 = 63°
Second answer choice is correct.
It's like that because a ratio compares two different things.