Kara will have more money. By the end of the week, she will have $21, Kevin on the other hand will only have $1.75.
Answer:
x = -6
Step-by-step explanation:
I'm assuming you're solving for x
3/4 (4x + 8) = -12
you distribute the 3/4 to 4x and 8 so
3/4 times 4x = 3x
3/4 times 8 = 6
now looks like
3x + 6 = -12
3x = -12 - 6
3x = -18
x = -6
Answer: Its light-collecting area would be 25 times greater than that of the 10-meter keck telescope.
Step-by-step explanation:
1. To solve this problem you must apply the formula for calculate the area of a circle, which is shown below:

Where<em> r</em> is the radius of the circle.
2. The diameter of a circle is:

Where <em>r</em> is the radius of the circle.
3. Therefore, keeping this on mind, you have that the light-collecting area of a 50-meter keck telescope is:

4. And the light-collecting area of a 10-meter keck telescope is:

5. Divide
by
, then:

6. Therefore, its light-collecting area would be 25 times greater than that of the 10-meter keck telescope.
Answer:
The definition of a z-score is:
z = (X - μ)/σ where X is our given score (33), μ is the distribution's mean (40) and σ is the distribution's standard deviation (9).
To calculate the z-score for 33, plug the numbers in:
z = (33 - 40)/9 = -7/9 = -.78
Hope this helps!
Step-by-step explanation: