1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elis [28]
3 years ago
12

The product of two consecutive odd numbers equals 55 plus ten times the even number which is between them. Find the even number.

​
Mathematics
1 answer:
Licemer1 [7]3 years ago
5 0

Answer:

14

Step-by-step explanation:

The product of two consecutive odd numbers equals 55 plus ten times the even number which is between them. Find the even number.​

Let the two odd consecutive integer be x and x+2

Let the even number between then be x+1

If the product of two consecutive odd numbers equals 55 plus ten times the even number, then;

(x)(x+2) = 55 + 10(x+1)

Expand

x² + 2x = 55 + 10x + 10

x² -8x -65 = 0

x² - 13x+5x - 65 = 0

x(x-13)+5(x- 13) = 0

(x-13) (x+5) = 0

x = 13 and -5

Since the even number is x + 1

Even number = 13 + 1 = 14

You might be interested in
What is the trignometric ration for cos C?<br><br><br><br>____/____
tatiyna

cos\alpha=\frac{adjacent}{hypotenuse}


cosC = \frac{45}{51}

4 0
3 years ago
Read 2 more answers
Felix is printing orange and green forms. he notices that 9 orange forms fit on a page, and 10 green forms fit on a page. if Fel
pochemuha
The maximum number for each should 20! :)
8 0
3 years ago
an antique has a price of 269. the sales tax rate for the country is 8.8%.how much sales tax will be due
AnnyKZ [126]
If you are trying to find tax, the answer is $23.67,

But if you are trying to find the total price, the answer is $292.67
3 0
3 years ago
Graph the system below amd write its solution 2x+y=6
Anastasy [175]
The answer to the question

8 0
3 years ago
write an expression that uses partial products to multiply 8 x 64. Can your expression be written another way? Explain
RUDIKE [14]

we are asked to write an expression that uses partial products to multiply 8 and 64. In this case, we can break 8 into 2 x4 and 64 into 8x8. In this case, multiplying these factors equal to 512. Any factors will do actually since it will yield the same product.

8 0
3 years ago
Other questions:
  • Just an answer is needed, no explanation.
    12·2 answers
  • Monica is 400 miles away from home while her sister,Mary is 300 miles away.Say monica travels at a speed of 50 miles per hour an
    5·2 answers
  • Nia plans to put enough money in the bank each week for 100 weeks so that the amount in the bank is always proportional to the w
    5·2 answers
  • Write an expression that is equivalent to 4n – 12 + 8y + (-3n).
    10·1 answer
  • Simplify<br><br> 1+3^2⋅2−5<br><br> -48<br> 14<br> 15<br> 27
    12·1 answer
  • Anyone knows the answer
    10·1 answer
  • On a scale drawing,1 in represents 8 feet. What is the actual length of a room that measures 3.4 inches
    15·1 answer
  • EAsy MATHHHHHHHHHHHH
    7·2 answers
  • Who Bigger 4 kilograms or 4,000 grams
    5·2 answers
  • An eighth-grade teacher wants to improve how the students function in small groups. What is the best strategy for improving the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!