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3 years ago

The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of two integers.

1 answer:

4 0

Set on of the numbers as x. The consecutive integer to it would be x+1 (or x-1, which ever one you like. I'm going to use x+1 though).

The sum would be

x + (x+1)

Set it equal to 59.

x+x+1=59
2x+1=59
2x=58
x=49

One integer is 49. The other integer, x+1, is 50.

Hope this helps!

You might be interested in

Is 12 a solution to the equation × - 8 = 20? Explain how you know.

jeyben [28]

We have the following:

$x-8=20$

solving for x

$\begin{gathered} x=20+8 \\ x=28 \end{gathered}$

The solution of x is equal to 28, therefore 12 is not a solution of the equation

5 0

1 year ago

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?

likoan [24]

Answer:

obtuse because 6^2+10^2<10^2

Step-by-step explanation:

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2 years ago

Dogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be th

sesenic [268]

Answer:

The probability that the dogs are blue eyed and deaf is 13.02%.

Step-by-step explanation:

We are given the following information in the question:

P(Blue eyes) = 31%

P(Deaf) = 38%

P(Deaf | Blue eyes) = 42%

Formula for conditional probability:

$P( A|B) = \displaystyle\frac{P(A \cap B)}{P(B)}$

Now, let A be the event where the dog is deaf and B be the the event where dog is blue eyed.

$P( \text{ Deaf}|\text{Blue eyes}) = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{P(\text{Blue eyes})}\\\\0.42 = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{0.31}\\\\P( \text{Deaf} \cap \text{Blue eyes}) = 0.42\times 0.31 = 0.1302 = 13.02\%$

Hence, the probability that the dogs are blue eyed and deaf is 13.02%.

6 0

3 years ago

Two standard number cubes are thrown. Find the probability that the sum of the numbers showing is ten given that the first numbe

Sergio [31]

Given that the first number shows up as four. The second number should be six so that the sum would be ten. Therefore, its probability should be 1/6.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

3 0

3 years ago

LaTonda rolls two number cubes that are each numbered 1 through 6. What is the probability that the sum of the numbers on the to

ZanzabumX [31]

Answer:

1/4

Step-by-step explanation:

The maximum sum of the two cubes is 6 + 6 = 12

The multiples of 4 until 12 are: 4, 8 and 12.

each cube has 6 possible values, so two cubes have a total of 6 * 6 = 36 possible results

We can have a sum of 4 with the pairs (1,3), (2,2), (3,1).

We can have a sum of 8 with the pairs (2,6), (3,5), (4,4), (5,3), (6,2)

We can have a sum of 12 with the pair (6,6)

So we have a total of 9 pairs that satisfy our condition over a total of 36 possibilities, so the probability is 9 / 36 = 1/4

8 0

3 years ago