Answer:
9
Step-by-step explanation:
let the number
=
x
then 4 times the number
=
4
x
and 4 times the number increased by 15
=
4
x
+
15
also 6 times the number
=
6
x
and 3 less than 6 times the number
=
6
x
−
3
equating the two expressions gives the equation
4
x
+
15
=
6
x
−
3
←
solve for x
subtract 6x from both sides
4
x
−
6
x
+
15
=
6
x
−
6
x
−
3
⇒
−
2
x
+
15
=
−
3
subtract 15 from both sides
−
2
x
+
15
−
15
=
−
3
−
15
⇒
−
2
x
=
−
18
divide both sides by
−
2
−
2
x
−
2
=
−
18
−
2
⇒
x
=
9
As a check
(
4
×
9
)
+
15
=
36
+
15
=
51
(
6
×
9
)
−
3
=
54
−
3
=
51
⇒
the number is 9
Area of a triangle= 1/2 base times height
substitute
40=1/2*10*x
40=5x
x=8
the height is 8 inches
Answer:
17.5%
Step-by-step explanation:
=22÷126
=0.1746 or 0.175
to convert into percentages= 0.175x100℅
=17.5%
Answer:
156
Step-by-step explanation:
While solving we will have to use the area formula of the rectangle, which is :A=w*l ; length*width=A.
Steps:
1)let’s consider that the shape is a full rectangle. => 16*12=192.
2)9*2=18 -> 18*2=36
3)192-36=156.