-9(4+x)>-126
-36-9x>-126
-36+36-9x>-126+36
-9x>-90
-9x/-9<-90/-9
x<10
Knowing the value of each digit, we can arrange them from greatest to least like so:
11.771 > 11.717 > 11.171 > 11.117
Answer:
4989600 ways
Step-by-step explanation:
From the question,
The word MATHEMATICS can be arranged in n!/(r₁!r₂!r₃!)
⇒ n!/(r₁!r₂!r₃!) ways
Where n = total number of letters, r₁ = number of times M appears r₂ = number of times A appears, r₃ = number of times T appears.
Given: n = 11, r₁ = 2, r₂ = 2, r₃ = 2
Substitute these value into the expression above
11!/(2!2!2!) = (39916800/8) ways
4989600 ways
Hence the number of ways MATHEMATICS can be arranged without duplicate is 4989600 ways
Answer:
Store A has a better deal because $402.90 is less than $404.10.
Step-by-step explanation:
<u>Store A</u>
The $25 off coupon reduces the price to ...
$499 - 25 = $474
The discount from this amount is 15%, so is ...
$474 × 0.15 = $71.10
The final amount paid is then ...
$474.00 -71.10 = $402.90
(<em>Side note</em>: you can select the correct answer at this point, because only one answer shows this value.)
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<u>Store B</u>
After the $20 off coupon, the price is ...
$469 -20 = $449
The additional 10% discount amounts to ...
$449 × 0.10 = $44.90
So, the final price is ...
$449.00 -44.90 = $404.10
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Now, you know that Store A offers the better price because $402.90 is less than $404.10.