Given that a <span>store is selling two mixtures of nuts in 20-ounce bags: peanuts and cashews.
Let the cost of one ounce of peanut be x and the cost of one ounce of cashew be y, then
Given that </span>t<span>he first mixture has 15 ounces of peanuts combined with five ounces of cashews, and costs $4.25 implies that 15x + 5y = 4.25
Also, given that </span>t<span>he second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.75 mplies that 5x + 15y = 6.75
To obtain the cost of </span><span>one ounce of peanuts and one ounce of cashews, we solve the two equations above, simultaneously:

Therefore, </span><span>
one ounce of peanuts and one ounce of cashews cost $0.15 and $0.40 respectively.</span>
Step-by-step explanation:
When you divide by a number, you basically are multiplying by the reciprocal
The reciprocal of 2 is 1/2
4/10 ÷ 2 = 4/10 × 1/2 = 2/10
4/10 × 1/2 = 2/10
Using a number line,
Start at 4/10 and move down by 2 until you reach 0
Start at 4/10 and move up by 1/2 from 0 until you reach 4/10
(Count the number of humps)
Both will be the same
In 144 minutes, or at 5:19 pm, the trains will arrive at the same time again.
Y - (-5) = -7
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Simplify
y + 5 = -7
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Subtract 5 from each side
y + 5 - 5 = -7 - 5
y = -12
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y = -12 is your answer
The two triangles we can see in the diagram are similar, which means that their measurements are proportional. Line MN on the larger triangle MNP is 71.5ft long, and its corresponding line, MA, on the smaller triangle is 71.5-22= 49.5ft long. This means that the scale factor from the bigger to the smaller triangle is 71.5/49.5=13/9.
If line MP on the bigger rectangle is 97.5ft long, then its corresponding line, MB, must be 97.5÷13/9=67.5 ft long.
Therefore, x=67.5 ft