Answer:
51 ft
Step-by-step explanation:
This is a problem with similar triangles
we can solve this by setting up a proportion:
6/10 = x/85
6*85 = 10x
510 = 10x
51 = x
Answer:
Explanation:
<u>1. Model:</u>
i) Profit = Revenue - Cost
ii) Revenue = price × number of items
iv) Cost = variable cost + fixed expense
<u>2. Solution</u>
i) Revenue = $ 57 / item × 419 items
ii) Cost = $ 23 / item × 419 items + $5,984
iii) Profit = $ 57×419 - ($23×419 + $5,985)
Profit = $ 23,883 - ($ 9637 + $ 5,984) = $ 23,883 - $ 15,621
Profit = $ 8,262 ← answer
Find the number of full ones by subtracting empty from total:
50 - 23 = 27 full
The ratio of empty to full is written as empty: full
Ratio = 23:27
Answer:
number of protons
Step-by-step explanation:
The identity of an element is determined by the number of protons. One cannot alter the number of protons without altering the identity of the element. By adding a proton, the atomic number increases by one and the element identity changes. Number of neutrons can be altered to create isotopes.
<h2>Solving for x:</h2><h2 />
<h3>Step-by-step explanation:</h3>
1) Just add 1 to both sides.
<h3 /><h2>Solving for y:</h2>
<h3>Step by step explanation:</h3>
1) Square both sides.
2) Multiply both sides by 2.
3) Regroup terms.
4) Subtract 7 from both sides.
5) Switch sides.
<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>for</u></em><em><u> </u></em><em><u>Y</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u> </u></em><em><u>y</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>(</u></em><em><u> </u></em><em><u>x</u></em><em><u>²</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>2x</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>1</u></em><em><u>)</u></em><em><u> </u></em><em><u>-7</u></em><em><u>.</u></em>