All categories

2 years ago

Help ill give you 25 points

Mathematics

1 answer:

lisov135 [29]2 years ago

7 0

Answer:

Step-by-step explanation:

3n+2 is divisible by p:

3n + 2 = px

8n+3 is divisible by p:

8n + 3 = py

Solve each equation for n:

n = (px - 2)/3
n = (py - 3)/8

Eliminate n and solve for p:

(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

Hurryyy Plzzz!!

Minchanka [31]

Side angle side the answer hope that helps

6 0

2 years ago

An ice cream cone has a height of 4 in and a radius of 1 in. If the cone is 0.1 in thick, what is the difference (in in3) betwee

SSSSS [86.1K]

Answer:

$0.79 in^3$

Step-by-step explanation:

Given data for the cone

height h= 4 in

radius r= 1 in

hence diameter d= 2 in

thickness of cone= 0.1 in

The volume of the cone including the shell can be expressed as

$volume=\frac{1}{3} \pi r^2h$

$volume= \frac{1}{3}*3.142*1^2*4\\\volume= \frac{12.568}{3} \\\volume= 4.189 in^3$

The volume of the ice cream can be expressed as

N/B: the diameter of the ice cream is

2-(0.1*2)= 2-0.2= 1.8 in

hence the radius is 0.9 in

$volume= \frac{1}{3}*3.142*0.9^2*4\\\ volume= \frac{10.18}{3} \\\ volume= 3.39 in^3$

The difference in volume is $4.189-3.39= 0.79 in^3$

8 0

2 years ago

Add. 2x+2/x^2+x + 3x+3/x^2+x Answer Choices: A 5/x B 5x/x+1 C 10/x^2 D 5/x+1

Rama09 [41]

Answer:

Step-by-step explanation:

8 0

3 years ago

the length of a rectangle is 2 inches less than 3 times it width . The perimeter of the rectangle is 124 inch. WHat is the lengt

vitfil [10]

Step-by-step explanation:

let w = width

length = 3w-2

perimeter = 2*length + 2*width

perimeter = 2(3w-2) + 2w

perimeter = 6w - 4 + 2w

perimeter = 8w - 4

perimeter = 124 inch

8w - 4 = 124inch

+4 to each side

8w = 128inch

divide each side by 8

w = 16

length = 3w-2

= 3(16) - 2

length = 46 inch

5 0

2 years ago

The table shows which school subject are favored by a group of students predict the number of students out of 400 that would pic

vfiekz [6]

What table.

If it is a normal table or a wooden table. The marble ones are cool but I prefer the wood. btw this is just filler text so I could ask if you would link the table.

5 0

2 years ago