five years ago Kate's age was four less than twice the Mary's age. If mary is 11 now, how old is kate now?
1 answer:
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Answer:
Cost of shoes = $37.4925
Cost of jacket = $92.4533
Tax = $9.81
Total paid = $144.2458
Step-by-step explanation:
Normal price of shoes = $49.99
Discount = 25%
Discounted price:
Normal price of jacket = $137.99
Discount = 33%
Discounted price:
Price of pack of cookies = $4.49
No discount on cookies as per question statement.
Total amount without tax = $37.4925 + $92.4533 + $4.49 = $134.4358
Sales Tax = 7.3% of total amount without tax = 7.3% $134.4358 = $9.81
Total paid = $134.4358 + $9.81 = <em>$144.2458</em>
Answer:
6x + 2 ( x - 4) = 8 + 4 ( x + 2)
6x + 2x - 8 = 8 + 4x + 8
<em><u>Arranging</u></em><em><u> </u></em><em><u>like</u></em><em><u> </u></em><em><u>terms</u></em><em><u> </u></em>
6x + 2x - 4x = 8 +8 - 8
8x - 4x = 8
4x = 8
x = 8/4
x = 2
Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r = = 6