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The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?

Answers

Answer 1

Answer:

(10t + u)(10u + t) = 4,930

100tu + 10t^2 + 10u^2 + tu = 4,930

101tu + 10t^2 + 10u^2 = 4,930

10t^2 + (101u)t + (10u^2 - 4,930) = 0

(101u)^2 - 4(10)(10u^2 - 4,930)

= 10,201u^2 - 400u^2 + 197,200

= 9,801u^2 + 197,200

We see that u = 5 gives 442,225.

√442,225 = 665

(10t + 5)(50 + t) = 4,930

500t + 10t^2 + 250 + 5t = 4,930

10t^2 + 505t - 4,680 = 0

2t^2 + 101t - 936 = 0

t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)

= (-101 + √17,689)/4

= (-101 + 133)/4 = 32/4 = 8

So the numbers are 58 and 85.

58 + 85 = 143


Related Questions

Hi, This is Part B to the previos question i was offering 50 points for, Im now offering 30 points for this question. I need an answer and explanation please.

Answers

Part A ending answer: 3 cups.

1/4 of a gallon=4 cups

If I understand this correctly, there was a total of 7 cups before it was poured, adding the original answer to this one.

7 cups would equal .43 gallons, a bit less than half a gallon. If that's so, then .43 would equal 43 percent, and 43% of 128 fluid ounces would be 55.04 fluid ounces. Now the further solution, with more numbers past the decimal, it would be equal to approximately 56.

Therefore, my answer, if I understood correctly, would be 56.

Round to the nearest ten, then estimate the product. 82 x 78 = ___

5,600
6,300
6,400
7,200 i just want to make sure i picked the right one, i want to get a 100% on my test

Answers

Answer:

The answer is 6,400 I hope you get a good grade

please help me i need it.

Answers

Answer:

answer is 3/5

Step-by-step explanation:

The to your question is 3/5

(7th)Math question someone pls explain how to answer it I am stuck pt.9

Answers

Answer: The probability of not choosing a black shirt is 8/10 or 80%.

Step-by-step explanation: You add up the number of total shirts and then subtract the number of black shirts.

Answer:

20% probability of not choosing the black shirt

Step-by-step explanation:

There are 10 shirts on the shelves. Each has a 10% chance of not being chosen. There are 2 black shirts which have 10% chance each of not being chosen. if you sum it up ( 10% ×2) you will get a 20% probability of the black not being chosen.

Therefore there is a 20% probability of not choosing the black shirt

(7th)Math question someone pls explain how to answer it I am stuck pt.7

Answers

Answer:

x < 4

Graph: open dot on 4 and arrow pointing left.

Step-by-step explanation:

x + 5 < 9

Subtract 5 from both sides.

x < 4

You solved the inequality correctly.

To graph it, place an open dot on 4 and an arrow going left.

Answer:

The answer is an open circle to the left

Step-by-step explanation:

Closed circle means atleast and open means more or less than. THe equation is that 4 is more than a number. So that means it will go to the left and the circle would be open because it doesn't say at least, it's just <.

I hope this helps, I'm kind of bad at explaining.

If you have any questions please ask me! :)

ANSWER THIS QUESTION WILL GIVE AROUND 15 POINTS AND BRAINLIESTT

Answers

Answer:

it's just 25or26 minutes

Step-by-step explanation:

75+75=140

60*60=3600

140/3600

25.7=26

what is the approximate radius of a sphere with a volume of 113cm cubed
a 2cm
b 4cm
c 5cm
d 3cm

Answers

I looked up the answer and I got d 3cm

Answer:

D- 3cm

Step-by-step explanation:

I looked it up

simplify

10m + – 8 + 9m + – 10m

Answers

Answer:

9m-8

Step-by-step explanation:

you need to group like terms and solve

Answer:

9m - 8

Step-by-step explanation:

We know that,

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( + )

( - ) × ( + ) = ( - )

Accordingly, let us solve it now.

10m + ( – 8 ) + 9m +  ( – 10m )

Solve the brackets.

10m - 8 + 9m - 10m

Combine like terms.

9m - 8

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