There are 18 cub scouts in troop 545. the number of scouts is three more than five times the number of adult leaders. find the number of adult leaders.

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There are 18 cub scouts in troop 545. the number of scouts is three more than five times the number of adult leaders. find the number of adult leaders.

5x + 3 ≥ 8x +3

-3x ≥ 0

so their are infinitely many solutions

This can be displayed as a system of equations.

x = 3 + 5y

x - y = 11

Because we have a value of x we can plug it into the value of x in the second equation.

(3 + 5y) - y = 11

3 + 5y - y = 11

Combine like terms.

3 + 4y = 11

Subtract 3 from both sides.

4y = 8

Divide both sides by 4.

y = 2

Now that we have a constant value for y, we can replace the value of y in the second equation with 2 to solve for x.

x - 2 = 11

Add 2 to both sides.

x = 13

Now, let's verify.

13 = 3 + 5(2)

13 = 3 + 10

13 = 13 √ this is correct.

13 - 2 = 11

11 = 11 √ this is correct.

The first number, or x, is equal to 13.

The second number, or y, is equal to 2.

3 + 5x= 30+ 2x

X=9

Hope this helped

A certain number (x) is 3 more then 5 times another number (y)

x = 5y + 3

the difference of the 2 numbers is 11

x - y = 11

so ur system of equations is :

x = 5y + 3

x - y = 11

3+5x=38

-3 on both sides

5x=35

divide by 5 on both sides

x=7

There are 3 adult leaders since 18-3 = 15 then 15/5= 3

3 + 5x ≤ 8 is how this would be displayed in numbers.

To solve, we treat this like an algebraic equation.

Subtract 3 from both sides.

5x ≤ 5

Divide both sides by 5.

x ≤ 1

The value of x is less than or equal to 1 to make the inequality true.

Let's start by defining our unknown number.

Let's call it x.

Now, Let's handle the first part of it. 3 more than five times a number. That can be represented by the following

[tex]3+5x[/tex]

Now we handle the second part, "Thirty more than twice the number"

Which can be represented by

[tex]30+2x[/tex]

So, now we set them equal, since it tells us that these expressions are the same. Then we just solve the equation

[tex]3+5x=30+2x\\\\5x=27+2x\\\\3x=27\\\\x=9[/tex]

The answer is 9

5d + 5

i need the options

step-by-step explanation:

Many things that seem threatening in the dark become welcoming when we shine light on them

5x+3

Step-by-step explanation: 3 more refers to addition so you are aware that 3 is the number that is being added in the equation, and 5 times refers to multiplication so you know 5 is being multiplied in the equation, which means the algebraic expression would be: 5x+3.