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
Zepler [3.9K]
3 years ago
15

A positive integer is 5 more than 23 times another. Their product is 6732. Find the two integers.

Mathematics
1 answer:
inna [77]3 years ago
8 0
Another way to write this is:
x = 23y + 5
xy = 6732

Now plug in the first equation into the second:
(23y + 5)y = 6732
23y^2 + 5y - 6732 = 0

Either use quadratic equation or factor:
(y - 17)(23y + 396) = 0
y = 17 or -396/23

You know you can automatically eliminate the second y because it's negative and you need the two integers to multiply to a positive number (6732).

Plug y = 17 back into either equation (second might be easier):
17x = 6732
x = 396

You might be interested in
6th grade math<br><br> Find the area of the triangle and choose the appropriate result
Monica [59]
The answer to this question is 240
6 0
2 years ago
Read 2 more answers
If x varies directly with y and y is 10 when x is 8, what is x when y is 18?
swat32
Knowing that x varies directly with y, we know the basic skeleton of the equation is y = mx. 

To find m, plug in the known coordinate (8,10), where the x-coordinate is 8 and the y-coordinate is 10.
y=mx \\ 10=m8 \\ (10)/8=(8m)/8 \\ m= \frac{10}{8} = \frac{5}{4}

Then, plug in m to the equation to get y = (5/4)x.

Finally, plug in the y-coordinate 18 to the equation and solve for x!
y= \frac{5}{4}x \\ 18= \frac{5}{4}x \\  \frac{4}{5}(18)=( \frac{5}{4}x) \frac{4}{5} \\ x= \frac{4*18}{5}  \\  x= \frac{72}{5}

Your exact answer is x = 72/5. However, if your teacher prefers decimals, then x = 14.4

Hope this helps!
5 0
2 years ago
Read 2 more answers
A 6-foot piece of ribbon costs $15.84. What is the price per inch?
sleet_krkn [62]

Answer:

$0.22/inch

Step-by-step explanation:

6 ft = 72 inches

15.84/72 =0.22

6 0
3 years ago
Read 2 more answers
A number chosen at random from 1 to 10 find the probability of selecting a 5 or greater
ZanzabumX [31]
The probablility is 1/2 or 0.50 % chance.
8 0
3 years ago
Find the perimeter <br><br> 18<br> 34<br> 36<br> 40
Katyanochek1 [597]
I believe that it is 34
3 0
3 years ago
Other questions:
  • Oliver is working on a puzzle of the Eiffel Tower. The tower in the puzzle is 28.5 in. tall. The packaging lists the scale as 1:
    5·2 answers
  • Answer 1-9 please help i will give thanks or brainiest 10 points
    7·1 answer
  • Estimate 306.9 divided by 6.4
    8·2 answers
  • Leslie and Jenny are two of the partners in a business. Leslie makes $3 in profits for every $4 that Jenny makes. If Jenny makes
    14·1 answer
  • Anyone know? Will mark brainliest if correct!
    11·2 answers
  • Your round-trip drive to work is 4 3/10 miles. How many miles do you drive to and from work in 3 days?
    8·1 answer
  • Use the drawing tool(s) to form the correct answer on the provided number line.
    10·1 answer
  • I need help on this question below
    8·1 answer
  • 1. The temperature was -8°F and rose by 2°F. What is the new temperature? Expression:​
    6·1 answer
  • What is the probability that client H, the 80-year old you’re considering for a 10-year policy, lives to be 90 years old? Client
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!