The answer is 22.6 so the quotient would be between 22.0 and 23.0, hope this helps.
Answer:
9/10
1/2+2/5
Since these fractions have different denominators, we need to find the least common multiple of the denominators.The least common multiple of 2 and 5 is 10, so we need to multiply to make each of the denominators = 10
1/2 ∗ 5/5 = 5/10
5/2∗ 2/2= 4/10
Since these fractions have the same denominator, we can just add the numerators
5/10+ 4/10 = 9/10
It's quite simple when you break it down
20/45 let's divide by 5
4/9
we can't divide anymore, no common denominator. The answer is 4/9
Answer:
<h3> 26²/₃ liters of 15% acid and 13¹/₃ liters of 33% acid</h3>
Step-by-step explanation:
Concentration Amount of Amount
of Solution Solution (L) of Acid
15% x 0.15x
33% y 0.33y
21% 40 0.21•40
x + y = 40 ⇒ x = 40 - y
0.15x + 0.33y = 0.21•40
0.15(40 - y) + 0.33y = 0.21•40
6 - 0.15y + 0.33y = 8.4
0.18y = 2.4
y = 13¹/₃
x = 40 - 13¹/₃ = 26²/₃
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x + y = 1 → (1)
ax - by = c → (2)
In (1) subtract y from both sides
x = 1 - y → (3)
Substitute x = 1 - y into (2)
a(1 - y) - by = c ← distribute left side
a - ay - by = c ( subtract a from both sides )
- ay - by = c - a ( multiply through by - 1 )
ay + by = a - c ← factor out y from each term on the left side
y(a + b) = a - c ← divide both sides by (a + b)
y = 
← substitute into (3)
x = 1 - = 
- = 
= 
