X is the amount of groups
y is the amount of people
42- 3x = 30
x (8) = y
42 - 3x = 30
-42 -42
-3x = -12
divide by -3
x = 4, there were 4 groups of 8, substitute the 4 into the other equation
4×8 = 32
y = 32 , There are 32 people in Marcos group
sorry, it's the best I could do.
Answer:
after distributive property, it would be 3x+15=5x-7
the next step would be to simplify by moving the variables one side and the numbers the other, -2x= -22, then after isolate variable by dividing -2.
x= 11
Answer: 
The cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.
Step-by-step explanation:
Given: A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet.
Then, total time taken to reach the peak = (Distance) ÷ (speed)
= (2,000 feet) ÷ ( 50 feet/minute)
= 40 minutes
Then, as the car moves down to the hill’s base, its elevation drops at the same rate.
The equation that models the cable car’s elevation, e, after t minutes is
e= (constant rate)|t- time to reach peak |+ Peak's height

When the cable car’s elevation will be 750 feet after minutes, then we have

Time cannot be negative, so the cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.
<u>Given</u>:
Four coordinates lying on the 3rd quadrant of the Cartesian plane are as follows: 
- C' = (–6, –5)
- D' = (–6, –3)
- E' = (–4, –3)
- F' = (–4, –5)
<u>Translation</u>:
Since you've been asked to translate the coordinates of the vertices 2 units right and 8 units up, you'll need to add 2 to its x-coordinate and 8 to its y-coordinate.
C'(–6, –5)
ㅤㅤ= C'(–6 + 2, –5 + 8)
ㅤㅤ= C'(–4, 3)
D'(–6, –3)
ㅤㅤ= D'(–6 + 2, –3 + 8)
ㅤㅤ= D'(–4, 5)
E'(–4, –3)
ㅤㅤ= E'(–4 + 2, –3 + 8)
ㅤㅤ= E'(–2, 5)
F'(–4, –5)
ㅤㅤ= F'(–4 + 2, –5 + 8)
ㅤㅤ= F'(–2, 3)
<u>Final </u><u>answer</u>:
- C' = (–4, 3)
- D' = (–4, 5)
- E' = (–2, 5)
- F' = (–2, 3)
Answer:
Rewrite the equation as
5
x
+
10
y
=
20
5
x
+
10
y
=
20
.
5
x
+
10
y
=
20
5
x
+
10
y
=
20
Subtract
5
x
5
x
from both sides of the equation.
10
y
=
20
−
5
x
10
y
=
20
-
5
x
Divide each term by
10
10
and simplify.
y=2−x/ 2
Step-by-step explanation: