Answer:
81 adult tickets
Step-by-step explanation:
Step 1:
Set up a system of equations
Since the adult tickets and student tickets add to 243, we can do
and the student tickets sold were 2x the adult tickets, we can do
We can replace s in the first equation adding to 243 with 2a
Step 2:
Solve for a. We can divide both sides by 3.
Therefore, there were 81 adult tickets sold.
Step 3:
We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!
And...
So, 81 must be the answer!
Circumference of circle = π × Diameter
= π × 18 cm
= 56.54867 or 56.54 to 1 dp
Answer:
93° (to the nearest degree)
Step-by-step explanation:
sum of the interior angles of a triangle = 180°
Find angle C first, then subtract angle C and angle B from 180° to find angle A.
Use the sine rule 
to find angle C:
Therefore,
angle C = 48.80523914...°
Angle A = 180 - 38 - 48.80523914...°
= 93.19476086..°
= 93° (to the nearest degree)
Answer:
Kirk wrapped 7 presents with those 23.8 cm of tape.
Step-by-step explanation:
Figure out the unit rate:
10.2 cm tape
-------------------
3 presents
or
3 presents
-----------------------
10.2 cm tape
Multiplying this by 23.8 cm results in the number of presents Kirk wrapped with that much tape:
(3 presents)(23.8 cm tape
--------------------------------------- = 7 presents
10.2 cm tape
Kirk wrapped 7 presents with those 23.8 cm of tape.
Answer:
the slope is = -1
Step-by-step explanation:
