Answer:
Number pencils Ava bought = 2
Explanation:
Price of pen = 2 $
Price of pencil = 1 $
Total money spent = 12 $
Let the number of pen be a and number of pencil be b.
2 a + b = 12 -----------------------------------Equation 1
We have, she bought 3 more pens than pencils
a - b = 3 -------------------------------------- Equation 2
Equation 1 +Equation 2,
2 a + b + a - b = 12 + 3
3a = 15
a = 5
Substituting in equation 2
5 - b = 3
b = 2
Number pencils Ava bought = 2
<em>x</em> ^2 + <em>y</em> ^2 = 9 => <em>y</em> = <em>y(x)</em> = ± √(9 - <em>x</em> ^2)
Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by <em>y(x)</em>, which is
√(9 - <em>x</em> ^2) - (- √(9 - <em>x</em> ^2)) = 2 √(9 - <em>x</em> ^2)
The area of each square section is the square of this length,
(2 √(9 - <em>x</em> ^2)) = 4 (9 - <em>x</em> ^2) = 36 - 4<em>x</em> ^2
We get the whole solid for -3 ≤ <em>x</em> ≤ 3, so integrating gives a volume of
Answer:
.36666667
Step-by-step explanation:
Answer:
<h3>X = 3/5 </h3>
3/5x + 3 = 6
3/5x = 6 - 5
3/5x = 1
<h3><u>Multiplying </u><u>both </u><u>the </u><u>sides </u><u>with </u><u>5x </u></h3>
3/5x (5x) = 1* 5x
3 = 5x
3/5 = X
Solve by elimination:
S = shirt
T= tie
3s+5t=60
2s+3t=39
=
Shirt = 15
Tie = 3