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Mazyrski [523]
3 years ago
9

The product of two consecutive negative integers is 600. What is the value of the lesser integer?

Mathematics
2 answers:
Misha Larkins [42]3 years ago
8 0
Two consecutive negative integers are n and n+1.  We are told that the product of these two integers is 600 so:

n(n+1)=600

n^2+n=600

n^2+n-600=0

n^2+25n-24n-600=0

n(n+25)-24(n+25)=0

(n-24)(n+25)=0, since we are told that n is negative...

n=-25

(...-25(-24)=600 so -25 is the value of the lesser integer)
Neporo4naja [7]3 years ago
6 0
Prime factors of 600 are 2*2*2*3*5*5

2*2*2*3 = 24
and 5*5 = 25

so the 2 negative integers are -24 and -25

and lesser integer is -25.
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to advertise o radio,the radio station charges 32naira for the first 10 words and 2naira per word for every additional word.how
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Step-by-step explanation:

Given that:

Cost of first ten words = 32 naira

Cost of additional words = 2 naira per word

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Charli bought 2 3/4 pounds of pears for 0.76 per pound and 2 3/4 pounds of grapes for 1.40 per pound. how much money in dollars
MArishka [77]

Answer:

Total = \$5.94 ---- in dollars

Total = 594\ cents ---- in cents

5 dollars 94 cents

Step-by-step explanation:

Given

Pears

Weight = 2\frac{3}{4}\ lb

Amount = \$0.76 per pound

Grapes

Weight = 2\frac{3}{4}\ lb

Amount = \$1.40 per pound

Required

Determine the amount paid for the fruit in dollar and cents

First, we need to calculate the amount paid for each fruit.

This is calculated by multiplying the amount per pound by the number of pounds bought.

For Pears:

Total_{Pears} = 2\frac{3}{4} * \$0.76

Convert fraction to decimal

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For Grapes

Total_{Grapes} = 2\frac{3}{4} * \$1.40

Convert fraction to decimal

Total_{Grapes} = 2.75 * \$1.40

Total_{Grapes} = \$3.85

Next, we add both amounts together to get the total amount spent in dollars.

Total = Total_{Pears} + Total_{Grapes}

Total = \$2.09 + \$3.85

Total = \$5.94

Multiply by 100 to convert this amount to cents

Total = 5.94 * 100\ cents

Total = 594\ cents

And it can be represented as dollars and cents as:

5 dollars 94 cents

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3 years ago
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