Answer:
Number of children, x= 400
Number of adults, y = 100
Step-by-step explanation:
Let the number of children be x
Let the number of adults be y
Given : Total number of people, x + y = 500 --------(1)
Total amount collected, 5x + 10y = 3000 ---------(2)
(1) => y = 500 - x
Substitute y in (2) : 5x + 10(500 - x) = 3000
5x + 5000 - 10x = 3000
-5x = 3000 - 5000
-5x = -2000
x = 400
Substitute x in (1) : 400 + y = 500
y = 500 - 400
y = 100
Answer:
4/5
Step-by-step explanation:
Sin is opposite / hypotenuse
Sin x= 16/20
16/20= 4/5
Answer:
17.7
Step-by-step explanation:
This figure is a pentagon - a shape with 5 sides. In a pentagon, the figure's angles add to 540.
100 + 7x-4 + 3x + 23 + 9x - 6 + 90 = 540
190 +19x + 13 = 540
203 + 19x = 540
19x = 337
x = 17.7
Answer:
5/12 of rain came, or 10 inches
Step-by-step explanation:
complete rain be 1
then, =1-(1/4+1/3)
=1-(3+4/12) take lcm
=1-7/12
=12-7/12 again lcm
= 5/12
or
1/4 of 24 inches means 1/4×24= 6 inches
1/3 of 24 inches, then 1/3×24= 8 inches
therefore, rest of the months get
= 24-(6+8)
=24-14
=10 inches
Answer:
Yes, the scale factor is 0.6 repeating, or 0.7.
Step-by-step explanation:
You find the scale factor by dividing the smaller sides by the corresponding larger ones.
12/18 = 0.6 repeating
14/21 = 0.6 repeating
16/24 = 0.6 repeating
These triangles could be similar by SSS or SAS or ASA I think since congruent angles are shown in both triangles as well.