1.) Let their speed be x, then distance travelled = speed x time
1.5x + 2.5x = 240
4x = 240
x = 240/4 = 60
Their speed is 60 miles per hour.
2.) Let catie's brother's age be x, then catie's age is 3 + x
x + 3 + x ≤ 31
Required inequality is 2x + 3 ≤ 31
2x ≤ 31 - 3
2x ≤ 28
x ≤ 28/2
x ≤ 14
Therefore, the oldest age Catie's brother can be is 14 years old.
3.) Let June's age be x, then her father's age is 6x
6x + x ≥ 77
7x ≥ 77
x ≥ 77/7
x ≥ 11
The youngest age Julio can be is 11 years old.
Explanation:
y
+
2
x
=
3
y
=
−
2
x
+
3
When
x
=
0
, y-intercept
=
3
coordinates
(
0
,
3
)
When
y
=
0
, x-intercept
=
3
2
coordinates
(
3
2
,
0
)
Knowing two points, we can draw the graph.
graph{-2x + 3 [-10, 10, -5, 5]}
Answer
Answer:
<u>Apply the property above:</u>
- 1. ln 618 = p ⇔ e^p = 618
- 2. ln q = 2 ⇔ e^2 = q
- 3. ln 100 = t ⇔ e^t = 100
- 4. ln (e^3) = 3 ⇔ e^3 = e^3
Answer: the circumference is 25.13 and the area is 50.26 if rounding up then 50.27
Step-by-step explanation: to find circumference it is 2piR and to find the area it is piR^2