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
ss7ja [257]
2 years ago
9

Help ill give you 25 points

Mathematics
1 answer:
lisov135 [29]2 years ago
7 0

Answer:

  • 7

Step-by-step explanation:

<u>3n+2 is divisible by p:</u>

  • 3n + 2 = px

<u>8n+3 is divisible by p:</u>

  • 8n + 3 = py

<u>Solve each equation for n:</u>

  • n = (px - 2)/3
  • n = (py - 3)/8

<u>Eliminate n and solve for p:</u>

  • (px - 2)/3 = (py - 3)/8
  • 8(px - 2) = 3(py - 3)
  • 8px - 16 = 3py - 9
  • 8px - 3py = 7
  • p = 7/(8x - 3y)

As we see p could get 1 or 7 as natural number. Since 1 is excluded, the only solution is 7, and 8x - 3y must equal to 1.

You might be interested in
A line, y = mx + b, passes through the point (10, 3) and is parallel to the line 2x+5y=12.
slava [35]

We have been given that a line y=mx+b passes through the point (10, 3) and is parallel to the line 2x+5y=12. We are asked to find the y-intercept of the line.

First of all we will rewrite our given equation in slope-intercept form as:

2x-2x+5y=12-2x

5y=-2x+12

\frac{5y}{5}=-\frac{2}{5}x+\frac{12}{5}

y=-\frac{2}{5}x+\frac{12}{5}

We know that slope of parallel lines is equal, so slope of parallel line to our given line would be -\frac{2}{5}.

Now we will use slope-intercept form of equation to find y-intercept.

y=mx+b, where,

m = Slope,

b = The y-intercept.

Let us substitute m=-\frac{2}{5} and coordinates of point (10,3) in above equation as:

3=-\frac{2}{5}(10)+b

3=-2(2)+b

3=-4+b

3+4=-4+4+b

7=b

Therefore, the y-intercept is 7 and our required equation would be y=-\frac{2}{5}x+7.

5 0
2 years ago
Ryan measure the perimeter of his square painting so he can make a wooden frame . find the perimeter of the painting in centimet
egoroff_w [7]

Answer:

Perimeter = 122 cm or 1.22 m

Step-by-step explanation:

The complete question with image is attached.

We know the perimeter is the sum of all the sides.

Since it's already given that one side is 30.5 and we know it is a square, so perimeter would be sum of all the 4 sides [each 30.5 cm].

Perimeter = 30.5 + 30.5 + 30.5 + 30.5 = 122 cm

Also, to get the answer in meters, we need to know that 100 cm = 1 m, hence

We got to divide by 100 to get our answer in meters, so

122/100 = 1.22 meters

Hence

Perimeter = 1.22 m

6 0
3 years ago
Evaluate the expression 3+ [5(2-3) - 6] ​
iragen [17]

Answer:

<em><u>Answer is below</u></em>

Step-by-step explanation:

<u><em>3+5(2−3)−6</em></u>

<u><em>=3+(5)(−1)−6</em></u>

<u><em>=3+−5−6</em></u>

<u><em>=3+−11</em></u>

<u><em>=−8</em></u>

<u><em>So therefore, your answer would be -8</em></u>

8 0
3 years ago
Read 2 more answers
Две противоположные стороны луга параллелепипеда - 550 м, а площадь - 23,1 га.
hichkok12 [17]

Answer:

I can't read this language

Step-by-step explanation:

4 0
2 years ago
the diagonals of parallelogram ABCD intersect at point O. If segment AC is a diagonal and AO = 5, then what is AC
gavmur [86]

9514 1404 393

Answer:

  10

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. That is, point O is the midpoint of AC. If AO = 5, then OC = 5 and AC = 5+5 = 10.

8 0
3 years ago
Other questions:
  • Can someone write the point slope equation
    8·1 answer
  • Plz help I need it by tomorrow morning ​
    11·1 answer
  • Jerry and his friends are hiking around a local lake. They have hiked 3.3 miles and are 55 % around the lake. How much farther d
    9·1 answer
  • The population standard deviation of the numbers 3, 8, 12, 17, and 25 is 7.563 correct to 3 decimal places. what happens if each
    13·1 answer
  • Julie went to visit her aunt and uncle for the weekend. She took the following clothes: two pairs of slacks – one brown, one bla
    12·1 answer
  • Would the point (3,1) be a solution to the inequality: y&gt;-2x+5?
    14·1 answer
  • Find what is x + 2½ = 10?
    15·2 answers
  • 999.999 rounded off to the nearest ones
    14·2 answers
  • Help help help help help<br>A=√18-√8+√50<br>Write A in the form m√2 where m is an integer​
    8·2 answers
  • What is the rate of return on a $5,000 bond purchased at $4,750 with a 12% coupon?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!