Answer:
- Multiples of 3 = 3, 9
- Multiples of 5 = 5, 10
Step-by-step explanation:
In a list of 3 to 99, the first multiple of 3 will be none other than 3 itself because when multiplied by 1, you get three.
The second number will be: 3 * 2 = 6
In a list from 5 to 100, the first multiple will be 5 with 5 being a multiple of itself when multiplied by 1.
Second number = 5 * 2 = 10
Answer:
The correct answer is two designs are used 12 times each and other four designs are used for 13 times each.
Step-by-step explanation:
Width of the quilt Lu is making is 18 rows of 20 squares each.
Thus the perimeter of the quilt is 20 + 20 + 18 + 18 = 76.
We can also say there are 76 square as the boundary which are to be bordered with toy designs.
Each square can hold 1 design of toy and there are 6 different designs of toys.
Thus number of times each design is used = 12 .
Thus there are two designs used 12 times each and other four designs are used for 13 times each.
Car 1 consumes 30 gallons of gas.Car 2 consumes 20 gallons of gas.
Answer:
m =
Step-by-step explanation:
Answer:
It is a perfect square. Explanation below.
Explanation:
Perfect squares are of the form
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
. In polynomials of x, the a-term is always x.(
(
x
+
c
)
2
=
x
2
+
2
c
x
+
c
2
)
x
2
+
8
x
+
16
is the given trinomial. Notice that the first term and the constant are both perfect squares:
x
2
is the square of x and 16 is the square of 4.
So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,
8
x
is of the form
2
c
x
.
The middle term is twice the constant times x, so it is
2
×
4
×
x
=
8
x
.
Okay, we found out that the trinomial is of the form
(
x
+
c
)
2
, where
x
=
x
and
c
=
4
.
Let us rewrite it as
x
2
+
8
x
+
16
=
(
x
+
4
)
2
. Now we can say it is a perfect square, as it is the square of
(
x
+
4
)
.