J-3=james age..
I hope this helps!
Answer:
x=4
Step-by-step explanation:
Since this is an equilateral triangle, all the sides are equal
6x = 4x+8 = 3x +12
Using the last 2 parts
4x+8 = 3x +12
Subtract 3x from each side
4x-3x +8 =3x+12-12
x+8 = 12
Subtract 8 from each side
x+8-8=12-8
x = 4
Answer:
a. The value of the constant k is 21
b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.
Step-by-step explanation:
a.
<em>A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses.
</em>
The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:
<em>105=k*5
</em>

<em>k=21
</em>
<u><em>So the value of the constant k is 21.</em></u>
b.
<em>As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.</em>
This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".
Answer:
95% confidence interval: (0.325 ,0.383)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 231
Sample mean = 0.354 ppm
Sample standard deviation = 0.231 ppm
95% confidence interval:
Putting the values, we get,
29% = 0.29
Multiply 1.89 with 0.29
1.89 x 0.29 = 0.5481
Note that it is a markdown, so subtract 0.55 (rounded) with 1.89
1.89 - 0.55 = 1.34
The spark plug now costs ~ $1.34
hope this helps