Answer:
12 inches
Step-by-step explanation:
Set up an equation:
Variable x = height of the scale model
3/18 = x/72
Cross multiply:
3 × 72 = 18 × x
216 = 18x
Divide both sides by 18:
12
Answer: 
Step-by-step explanation:
since the lines are perpendicular, meaning that 
Answer:
Putting the value of x= 2 in the first equation,
6(2)+y= 17
y= 17-12 = 5
This value is same as the value for y given in the question.
Therefore, it satisfies the equation.
Again, putting the value of x= 2 in the second equation,
3(2)+14y= 16
14y= 16-6 = 10
y= 10/14 = 5/7
It doesn't satisfies the 2nd equation
Hence, (2,5) is not the solution to this system.
Answer: The average of the first two test scores is 97.
Step-by-step explanation: Given that Kristie has taken five tests in science class. The average of all five of Kristie's test scores is 94 and the average of her last three test scores is 92.
We are to find the average score of her first two tests.
Let a1, a2, a3, a4 and a5 be teh scores of Kristle in first , second, third, fourth and fifth tests respectively.
Then, according to the given information, we have
and
Subtracting equation (ii) from equation (i), we get
Thus, the average of the first two test scores is 97.
Answer:
13.68
Step-by-step explanation:
72 * 0.19 = 13.68
19% can be converted to 19/100 or .19 to change out of a percentage. .19 is the multiplied by 72 to find 19% of 72.
For example
a fourth of something is the same as 25%.
if you want to find 1/4 of 8 you would multiply 8 by 1/4.
It is a similar concept with percentages.
