Step-by-step explanation:
8+9= 17
7 3/4 + 7 1/4= 15
15 + 5 1/2= 20 1/2
17 + 20 1/2 = 37 1/2
The box has volume
11 in × 3 in × <em>x</em> in = 33<em>x</em> in³
and surface area
2 (11 in × 3 in + 11 in × <em>x</em> in + 3 in × <em>x</em> in) = (66 + 28<em>x</em>) in²
The volume and area have the same value if
33<em>x</em> = 66 + 28<em>x</em>
Solve this equation for <em>x</em> :
33<em>x</em> - 28<em>x</em> = 66
5<em>x</em> = 66
<em>x</em> = 66/5 = 13.2
<em>Answer:</em>
<em>Muhammad ibn Musa al-Khwarizmi</em>
<em>Step-by-step explanation:</em>
<em>Muhammad ibn Musa al-Khwarizmi was a 9th-century Muslim mathematician and astronomer. He is known as the "father of algebra", a word derived from the title of his book, Kitab al-Jabr.</em>
3/5x + 5 = 4/5
3/5x + 5 (-5) = 4/5 (-5)
3/5x = -4 1/5
3/5x/(5/3) = -4 1/5(/)(5/3)
x = (- 21/5)/ (5/3)
x = -21/5 x (3/5) (flip the signs by flipping the second fraction and the divide to a multiply)
x = -21/5 x 3/5
x = -63/25 or x = - 2.52
hope this helps
Answer:
Step-by-step explanation:
let x be apple juice and y be orange juice
12 = x + y
x = 12 - y
15 = 1x + 1.5y
x = 15 - 1.5y
set the equations as equal
12 - y = 15 - 1.5y
solve for y
12 + .5y = 15
.5y = 3
y = 6, you bought 6 bottles of orange juice
so, 12 = x + 6 , x = 6 , you bought 6 bottles of apple juice