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Natalija [7]
2 years ago
5

If the product of two consecutive integers is decreased by 20 times the greater integer, the result is 442. find the integers

Mathematics
1 answer:
Contact [7]2 years ago
8 0
Let the first integer be x.  Then the next consecutive integer is x+1.

Translating the word problem into symbols, x(x+1)-20(x+1) = 442.

Then x^2 + x - 20x - 20 = 442

or      x^2 - 19x - 462 = 0

Solve by completing the square:

          x^2 - 19x + 90.25 - 90.25 - 462 = 0

           (x-9.5)^2 - 552.25 = 0

Taking the positive square root of both sides, we get x-9.5 = 23.5, or
                                                                                    x        = 33

The two consecutive integers are 33 and 34.

Check:  (33)(34)-20(34) = 442 (as expected).

            
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They ate 1/3 of the cake
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Lorena calculated the slope of the linear function that is represented by the table of values as shown. x y –10 15 –8 27 –6 39 –
Anvisha [2.4K]

She made a mistake when she subtracted x1 from x2.

Step-by-step explanation:

Step 1 :

a)

The formula used by Lorena to calculate the slope between 2 points is correct

So the statement given in option 1 is not the reason for her mistake

Step 2:

b)

She has taken the fourth and fifth point and correctly used the x and y co ordinates to calculate the slope

Hence the statement in second option is not true

Step 3:

c)

While calculating the slope the denominator is -2 - (-4) . This gives 2 as the answer. But she has made a mistake in this subtraction giving -6 as the answer.

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Step 4:

d)

She has not made any mistake in subtracting y1 from y2. Hence this statement is not true

4 0
2 years ago
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A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour. Write and solve an equation to find
zysi [14]

Answer:

( t - p ) /  85x =  h

( t - 265.95 ) /  85x  = h

648.45 - 265.95 / 85x = 3.32h

h = 3.32

Therefore ( t - p ) /  85x =  3.32

Step-by-step explanation:

648.45 - 265.95

282.50 /85

= 3.32 hrs

Finding equation to find hours can be shown as

( t - p ) /  85x =  3.32

How we found equation to find total

Parts = 19 x 14 - 5/100 = 266- 0.05

648.45 - 265.95 = 282.5

282.5/85 = 3.323  near to 3,233529

Labour = 85x  = 17 (5 + x)

Equation = 17(5+ x) + 14(19) - 5/100 = 648.45 where x = 85

Equation = ( 85x x 3  1/3) + 265 - 19/20 = t

3 0
1 year ago
How long does it take $450 to double at simple interest rate of 100%
patriot [66]
Depending on when you get your interest rate. but it will double the second you get your interest rate, because it is a 100% interest

hope this helps

(it can be daily, weekly, monthly, etc)
8 0
2 years ago
The times for five sprinters in a 50 meter dash were 6.72 seconds 6.4 seconds 6.08 and 7.03 seconds in 6.75 seconds right these
andreev551 [17]

Answer:

Fastest to slowest = 6.08 > 6.4 > 6.72 > 6.75 > 7.03

Step-by-step explanation:

The person who completes the 50-meter race within the shortest possible time is the fastest sprinter. Here, the third sprinter crossed the line in 6.08 seconds, whereas the 4th sprinter crossed the line in 7.03 seconds. That is why the third sprinter has won the race, and he becomes the fastest. On the contrary, the fourth person takes the most time to complete the race, meaning he is the slowest.

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