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Define x :
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Let the smallest number be x.
First number = x
Second Number = x + 1
Third Number = x + 2
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Construct equation :
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x(x+2) - (x+1) = 7(x+2) + 1
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Solve x :
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x(x + 2) - (x + 1) = 7(x + 2) + 1
x² + 2x - x - 1 = 7x + 14 + 1
x²- 6x - 16 = 0
<span>(x+2)(x-8) = 0
</span>x = -2 or x = 8
Since x is a positive integer, it cannot be negative.
⇒x = 8
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Answer: The three numbers are 8, 9 and 10.
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You need to multiply 1000 by 0.06 (6% in decimal form) to get the answer. When you multiply you get 60 so the answer is 60 students forgot their locker combination.
Answer:
16 lb of fresh coffee.
Step-by-step explanation:
Let x pound be the amount of fresh coffee needed.
100 - 12 = 88% is equivalent to 14 2/25 of roasted coffee.
By proportion x = 14 2/25 / 88/100
= 352 / 25 * 100/88
= 35200 / 25 * 88
= 16 lb (answer).
3xy-5x+9y-45
Step-by-step explanation:
Step by Step Solution
STEP1:STEP2:Pulling out like terms
2.1 Pull out like factors :
3y - 15 = 3 • (y - 5)
Equation at the end of step2: (x • (3y - 5)) + 9 • (y - 5) STEP3:Equation at the end of step 3 x • (3y - 5) + 9 • (y - 5) STEP4:Trying to factor a multi variable polynomial
4.1 Split 3xy-5x+9y-45
4.1 Split 3xy-5x+9y-45
into two 2-term polynomials
-5x+3xy and +9y-45
This partition did not result in a factorization. We'll try another one:
3xy-5x and +9y-45
This partition did not result in a factorization. We'll try another one:
3xy+9y and -5x-45
This partition did not result in a factorization. We'll try another one:
3xy-45 and +9y-5x
This partition did not result in a factorization. We'll try another one:
-45+3xy and +9y-5x
This partition did not result in a factorization. We'll try
Answer: The probability that 3 or more of the next 5 customers will order chocolate is 30%. 3/10
Sandy conducted her own experiment to answer this question. She observed what groups of 5 customers ordered. In her experiment, 30% of the time at least 3 of the customers ordered chocolate.
The fraction 30% is 3/10.
