Answer:
18 pounds of cashews are needed.
Step-by-step explanation:
Given;
A manager bought 12 pounds of peanuts for $30.
Price of peanut per pound P = $30/12 = $2.5
Price of cashew per pound C = $5
Price of mixed nut per pound M = $4
Let x represent the proportion of peanut in the mixed nut.
The proportion of cashew will then be y = (1-x), so;
xP + (1-x)C = M
Substituting the values;
x(2.5) + (1-x)5 = 4
2.5x + 5 -5x = 4
2.5x - 5x = 4 -5
-2.5x = -1
x = 1/2.5 = 0.4
Proportion of cashew is;
y = 1-x = 1-0.4 = 0.6
For 12 pounds of peanut the corresponding pounds of cashew needed is;
A = 12/x × y
A = 12/0.4 × 0.6 = 18 pounds
18 pounds of cashews are needed.
What you need to do is multiply both sides by the same number. If 8 times 6 is 48, then 7 times 6 is your answer.
Answer:
10 -> 14
15-> 19
20-> 24
25-> 29
Step-by-step explanation:
Add 4 each time
A. 13 classes completed worth 3 credits.
Answer:
<u><em>C. </em></u><u><em> cm</em></u>
Step-by-step explanation:
<u><em>First, we can start out by stating that this is a </em></u><u><em>right triangle</em></u><u><em>, since </em></u><u><em>it has a right angle</em></u><u><em>, shown by the marker square in the corner of the triangle. </em></u><u><em>The x part, is called the hypotenuse</em></u><u><em>. When finding the value of the hypotenuse, we use a thing called the </em></u><u><em>Pythagorean Theorem.</em></u><u><em> This theorem is :</em></u>
<u><em>a^2 + b^2 = c^2</em></u>
<u><em>a is one side length, and b is the other. c is the hypotenuse.</em></u><u><em> To find x, the hypotenuse, we simply </em></u><u><em>plug in the values, and solve.</em></u>
<u><em>8^2 + 5^2 = c^2</em></u>
<u><em>64 + 25 = c^2</em></u>
<u><em>89 = c^2</em></u>
<u><em>To get c alone, we do the </em></u><u><em>square root of 89.</em></u>
<u><em></em></u><u><em> = c</em></u>
<u><em>9.43398113 = c</em></u>
<u><em>So, the answer is </em></u><u><em>C. </em></u><u><em> cm</em></u>