Answer:
375 ft
Step-by-step explanation:
you just multiply it times 5
Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60
Solve for <em>q</em> :
3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)
3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>
0.4<em>q</em> = 1.6
<em>q</em> = 4
Start with 1.
1st number = 1
2nd number = 1 * 4 + 3 = 7
3rd number = 7 * 4 + 3 = 31
4th = 31 * 4 + 3 = 127
5th = 127 * 4 + 3 = 511
Which means the 6th = 511 * 4 + 3, which is 2047.
Answer:
Step-by-step explanation:
<h3>i) simplify the complex fraction</h3>
<h3>ii) simplify the equation using cross multiplication</h3>
<h3>iii) swap the sides of the equation</h3>
<h3>iv) divide both sides of the equation by -6</h3>
<h3>v) simplify the fraction</h3>
Answer:
x ≤ 6.12
Step-by-step explanation:
If the cost of 1 hamburger in a restaurant is $0.49, the amount of hamburger $3 can buy is expressed as shown
.
$0.49 = 1
$3 ≤ x (since you have maximum of $3 to spend. It cant be more than that)
cross multiply to find the expression for x.
$0.49 * x ≤ $3 * 1
$0.49x ≤ $3
Divide both sides by $0.49
$0.49x/$0.49 ≤ $3/$0.49
x ≤ $3/$0.49
x ≤ 6.12
The number of hamburgers you can buy is represented by the inequality x ≤ 6.12
