Answer:
system of equations are
y=53x + 10, y=55x
Step-by-step explanation:
y=mx+b where x is the number of tickets purchased and y is the total cost.
We need to frame the equation for each option
Option 1: $53 for each ticket plus a shipping fee of $10
1 ticket cost = 53
So x tickets cost = 53x
shipping fee = $10 so b= 10
So equation becomes y=53x + 10
Option 2: $55 for each ticket and free shipping
1 ticket cost = 55
So x tickets cost = 55x
shipping fee =0 so b= 0
So equation becomes y=55x
Answer:
Explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the values from the points in the problem gives:
d
=
√
(
−
6
−
−
3
)
2
+
(
−
4
−
−
5
)
2
d
=
√
(
−
6
+
3
)
2
+
(
−
4
+
5
)
2
d
=
√
(
−
3
)
2+
1
2
d
=
√
9+
1
d
=
√
10
Or
d
=
3.162
rounded to the nearest thousandth
Answer:
16.364 miles
Step-by-step explanation:
Speed of Claire = 6 miles per hour
Speed of Megan= 5 miles per hour
Distance from camp site to out post = 18 miles
Time for Claire to travel=18/6= 3 hours
Time for Megan to travel = 18/5 = 3.6 hours
The time they meet will be equal
Claire distance= 18 + x
Megan distance = 18-x
Claire time =( 18+x)/6
Megan Tim =( 18-x)/5
(18+x)/6 =(18-x)/5
5(18+x)= 6(18-x)
90 +5x = 108-6x
11x=18
X=18/11
X=1.636 Miles
So the distance from the Outpost to where they meet = 18-1.636
= 16.364 miles
2x + y = 7
2x/2 7/2
x + y= 3.5
Step-by-step explanation:
H=14 in.
B1=16in.
b2=9in
Area =(16+9)*14/2=175 inches²
