Answer:
C. 17.156
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal. It can be expressed as a ratio of two integers.
The first answer wouldn't make sense, because there is no number times itself that would equal 15. Therefore, it would be irrational. Same goes with the last option.
We can also automatically rule out the second option because it is a nonterminating decimal.
Check the picture below.
F = sales for Friday
we know that the total of weekend sales for Germany was F + 317 + 405.
we also know that 405 is really 37.19% of that amount, say "x", which is the 100%, so
![\begin{array}{ccll} amount&\%\\ \cline{1-2} 405&37.19\\ x&100 \end{array}\implies \cfrac{405}{x}=\cfrac{37.19}{100}\implies 40500=37.19x \\\\\\ \cfrac{40500}{37.19}=x\implies 1089~\approx ~ x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{friday}{F} + \stackrel{sat/sun}{317} + \stackrel{monday}{405} \approx 1089\implies F +722 \approx 1089\implies \boxed{F\approx 367}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccll%7D%20amount%26%5C%25%5C%5C%20%5Ccline%7B1-2%7D%20405%2637.19%5C%5C%20x%26100%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7B405%7D%7Bx%7D%3D%5Ccfrac%7B37.19%7D%7B100%7D%5Cimplies%2040500%3D37.19x%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B40500%7D%7B37.19%7D%3Dx%5Cimplies%201089~%5Capprox%20~%20x%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7Bfriday%7D%7BF%7D%20%2B%20%5Cstackrel%7Bsat%2Fsun%7D%7B317%7D%20%2B%20%5Cstackrel%7Bmonday%7D%7B405%7D%20%5Capprox%201089%5Cimplies%20F%20%2B722%20%5Capprox%201089%5Cimplies%20%5Cboxed%7BF%5Capprox%20367%7D)
Answer:
a = -2
Step-by-step explanation:
a + 8/3 = 2/3
a = 2/3 - 8/3
a = -6/3 = -2
Answer:
$1530 = 45% commission
Step-by-step explanation:
First, jot down the important facts:
• first $1000 = 10% comm.
• next $2000 = 15% comm.
• total more than $3000 = 20% comm.
• total comm. = $3400
Then, go in order with your jotted facts to withdraw the total commission amount. Here's what I mean:
$3400 ← total is more than $3000 = +20% comm.
<u>- $1000</u> ← the first $1000 = +10% comm.
$2400
<u>- $2000</u> ← the next $2000 = +15% comm.
$400
Then, add together the commission percentages:
20% + 10% + 15% = 45% comm.
Convert the percentage to a decimal:
45% × 100 = 0.45
And multiply it with the total amount to find the commission amount:
$3400 × 0.45 = $1530
Answer:
(2,-3)
Step-by-step explanation:
I used substitution and rearranged the second equation to y=-2x+1. Then I replaced the y in the first equation with -2x+1. So, I got 3x-5(-2x+1)=21. When you solve that you get 13x=26 or x=2. Then you replace x with 2 in either equation and end up with y=-3.
