10P8 = 10!/(10 - 8)! = 10!/2! = 1,814,400
Answer: 58.1 pounds
Step-by-step explanation:
Use proportion to solve peroblem.
30:249=7:x
30x=249*7
x=249*7/30
x=58.1 pounds
Answer:
<h2>y = 242.4 ft</h2>
Step-by-step explanation:
Look at the picture.
Use sine:
We have a measure of the angle and length of the hypotenuse:
Substitute:
<em>multiply both sides by 500</em>
Answer:
- rational
- irrational
- irrational
- irrational
- √7, it is irrational
Step-by-step explanation:
A <em>rational</em> number is one that can be expressed as the ratio of two integers. All fractions that have integer numerators and (non-zero) denominators are <em>rational</em> numbers. Any finite decimal number, or any repeating decimal number, is a rational number. These can always be expressed as the ratio of two integers. For example, 0.4040... = 40/99, and 0.286 = 286/1000.
To make an irrational sum, at least one of the contributors must be irrational. You want an irrational 2-number sum that has 7/8 as one of the contributors. Since 7/8 is rational, the other contributor must be irrational.
__
<u>Step 1</u>. The number 7/8 is <em>rational</em>.
<u>Step 2</u>. The desired sum is <em>irrational</em>.
<u>Step 3</u>. The rule <em>rational + </em><em>irrational</em><em> = irrational</em> applies.
<u>Step 4</u>. An <em>irrational</em> number must be chosen.
Step 5. √7 will produce an irrational sum, because <em>it is irrational</em>.
Answer:
81%
Step-by-step explanation:
First, let's set up 3 equations:
w*0.6 = x
x*1.5=y
y*0.9=z
Now, we can substitute x in the second equation for w*0.6:
w*0.6*1.5 = y
Lastly, we can substitute y in the last equation for w*0.6*1.5:
w*0.6*1.5*0.9=z
w*0.81=z
Therefore, z is 81 percent of w.
