Answer: <u>4 pounds</u> of brand X sugar
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Reason:
n = number of pounds of brand X sugar
5n = cost of buying those n pounds, at $5 per pound
Brand Y costs $2 per pound, and you buy 8 lbs of it, so that's another 2*8 = 16 dollars.
5n+16 = total cost of brand X and brand Y combined
n+8 = total amount of sugar bought, in pounds
3(n+8) = total cost because we buy n+8 pounds at $3 per pound
The 5n+16 and 3(n+8) represent the same total cost.
Set them equal to each other. Solve for n.
5n+16 = 3(n+8)
5n+16 = 3n+24
5n-3n = 24-16
2n = 8
n = 8/2
n = 4 pounds of brand X sugar are needed
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Check:
n = 4
5n = 5*4 = 20 dollars spent on brand X alone
16 dollars spent on brand Y mentioned earlier
20+16 = 36 dollars spent total
n+8 = 4+8 = 12 pounds of both types of sugar brands combined
3*12 = 36 dollars spent on both types of sugar brands
The answer is confirmed.
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Another way to verify:
5n+16 = 3(n+8)
5*4+16 = 3(4+8)
20+16 = 3(12)
36 = 36
Two cheaper books = x
more expensive = 1.5x
so, 2.5x=150
150/2.5=x=60
therefore the more expensive book = 90
Replace all the variables with their values. In this case, we know the value of the variable p.
Now the expressions p + 5 becomes 2 + 5.
2 + 5 = 7
So, C. 7 is the answer.
Answer:
875 ft²
Step-by-step explanation:
Finding area of similar rectangles:
Scale factor = EF : AB
= 25 : 5
= 5 : 1
Area or rectangle EFGH = 875 ft²
<span>Equation at the end of step 1 :</span><span><span> (((4•(y2))-5y)+(3y-(7•(y2))))-((2y2+6y)-5)
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span><span> (((4•(y2))-5y)+(3y-7y2))-(2y2+6y-5)
</span><span> Step 3 :</span></span><span>Equation at the end of step 3 :</span><span> ((22y2 - 5y) + (3y - 7y2)) - (2y2 + 6y - 5)
</span><span> Step 4 :</span><span> Step 5 :</span>Pulling out like terms :
<span> 5.1 </span> Pull out like factors :
<span> -5y2 - 8y + 5</span> = <span> -1 • (5y2 + 8y - 5)</span>
I hope tht help
