Answer (x,y) (3, -2)
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
Answer:
10
Step-by-step explanation:
Answer:
Check my explanation
Step-by-step explanation:
(i) the area of the floor is 30m² (6m · 5m)
(ii) the perimeter of the floor is 22m (6m + 5m + 6m + 5m)
(iii) the area of the walls is:
24m² (for the 6m by 4m walls)
20m² (for the 5m by 4m walls)
88m² in total total
Answer: the maximum number of bundles of comic books that the box can carry is 7
Step-by-step explanation:
Let x represent the maximum number of bundles of comic books that the box can carry.
If comic books are bundled together in groups of 8, then the total number of comic books in x bundles of comic books would be 8x.
A box can hold a maximum of 60 comic books. Therefore, the inequality to find the maximum number of bundles of comic books that the box can carry is
8x ≤ 60
x ≤ 60/8
x ≤ 7.5
