3(x+5)=8x~~~First we distribute (we multiply 3 by x and 3 by 5)
3x+15=8x~~~Remove 3x from both sides
-3x -3x
15=5x~~~~Turn this equation around so x is on the other side
5x=15~~~Divide by 5x
÷5x ÷5x
x=3
Step-by-step explanation:
54 = 2 * 3³
72 = 2³ * 3²
To find the GCF of 54 and 72,
we find the highest common powers of their prime factors.
Highest common power for 2: 2
Highest common power for 3: 3²
Hence GCF of 54 and 72 = 2 * 3².
The answer is Option 2.
Answer:
answer is a
Step-by-step explanation:
Answer: 19.8 Units
Step-by-step explanation:
The triangle is shown in the attached figure, and have three vertices:
,
and
.
Each vertice represents a point in the cartesian plane and the length of each side of the triangle is the modulus of each vector.
In this sense, the modulus
is calculated as shown:

Hence, for each vector:



Now, the perimeter of a triangle is the sum of its three sides:

Finally:

Answer:
2:1
Step-by-step explanation:
well we show ratio by the sign ' : '
ratio of iced tea to lemonade= 12:6
now we reduce it to minimum by dividing it with same number.
12 is divisible by 6
so,
the reduced form is = 2:1
therefore,
ratio of the number of students who want iced tea to the number of students who want lemonade = 2:1.