Answer:
110
Step-by-step explanation:
If 12% studied Spanish, then 88% did not. The ratio of those who did not to those who did is ...
88 : 12 = 22 : 3
Then the number of students who did not study Spanish is ...
(22/3)×15 = 110 . . . . did not study Spanish
We know that
A system of three linear equations can have one solution, an infinite number of solutions, or no solution. Systems of equations can be classified by the number of solutions.
If a system has at least one solution, it is said to be consistent
If a consistent system has an infinite number of solutions, it is dependent. When you graph the equations, both equations represent the same line
in this problem we have
<span>x + y + z = 6---------> equation 1
</span><span>3x + 3y + 3z = 18------> equation 2
</span><span>-2x − 2y − 2z = -12--------> equation 3
if in the equation 2 divides by 3 both sides
</span>3x + 3y + 3z = 18-------> x + y + z = 6------> equation 2 is equal to equation 1
if in the equation 3 divides by -2 both sides
-2x − 2y − 2z = -12-------> x + y + z = 6------> equation 3 is equal to equation 1
so
equation 1, equation 2 and equation 3 are the same
therefore
<span>
the system of equations has infinite solutions</span>
Is a <span>
Consistent and Dependent System</span><span>
</span>
Answer:
B. Ethan is correct because all proportional relationships form a straight line and go through the origin and linear functions are linear, but they don’t all go through the origin so they are not always proportional.
Step-by-step explanation:
So a proportional relationship is just a special kind of linear relationship, i.e., all proportional relationships are linear relationships (although not all linear relationships are proportional).
Answer:
10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Step-by-step explanation:
In this question, we are tasked with writing the product as a sum.
To do this, we shall be using the sum to product formula below;
cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]
From the question, we can say α= 5x and β= 10x
Plugging these values into the equation, we have
10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]
= 5[sin (15x) - sin (-5x)]
We apply odd identity i.e sin(-x) = -sinx
Thus applying same to sin(-5x)
sin(-5x) = -sin(5x)
Thus;
5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]
= 5[sin (15x) + sin (5x)]
Hence, 10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Option A:
Solution:
ABCD and EGFH are two trapezoids.
To determine the correct way to tell the two trapezoids are similar.
Option A:
AB = GF (side)
BC = FH (side)
CD = HE (side)
DA = EG (side)
So, is the correct way to complete the statement.
Option B: 
In the given image length of AB ≠ EG.
So, is the not the correct way to complete the statement.
Option C: 
In the given image length of AB ≠ FH.
So, is the not the correct way to complete the statement.
Option D: 
In the given image length of AB ≠ HE.
So, is the not the correct way to complete the statement.
Hence, is the correct way to complete the statement.
