Answer:
x = 17
Step-by-step explanation:
To solve this equation, we can illustrate the algebraic concepts being employed and solve for the variable.
3(x - 4) = 2x + 5 Distribute the 3 into the parentheses.
3x - 12 = 2x + 5 Subtract 2x from both sides of the equation to combine like terms.
x - 12 = 5 Add 12 to both sides of the equation.
x = 17
Answer:
6 cm
Step-by-step explanation:
wire was bent into the shape of a rectangle with width 5 and length 7. If this wire is bent into shape of a square, what is the length of a side of the square
Given that:
Rectangular wire with the following dimension :
Width = 5
Length = 7
To obtain the total length of the wire :
Perimeter of rectangle :
2 (length + Width)
2 (5 + 7)
2(12)
= 24 cm
The length of each side of the square will be :
Number of sides = 4
Length of each side :
24 / 4 = 6 cm
I wanna say......Trapezoid?
N₁*$0.10 + n₂*$0.25 = $2.25
n₁ + n₂ = 12
-----------
This means that:
n₁ = 12 - n₂
And:
(12 - n₂)*$0.10 + n₂*$0.25 = $2.25
12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25
$1.20 + n₂*$0.05*(5-2) = $2.25
$1.20 + n₂*$0.05*3 = $2.25
$1.20 + n₂*$0.15 = $2.25
n₂*$0.15 = $2.25 - $1.20
n₂*$0.15 = $1.05
n₂ = ($1.05)/($0.15)
n₂ = 7
If n₂ = 7:
n₁ + 7 = 12
Therefore, n₁ = 5.
---------
Answer:
5 dimes and 7 quarters.
They would need 34.125 tons of rations.
In order to find this, we first need to see how many pounds of rations a single soldier eats in a week. To do this, we take the total eaten in 3 weeks and divide by 3. Then we divide by the number of soldiers.
16,380/3 weeks= 5460 lbs per week
5460/520 soldiers = 10.5 lbs per soldier per week
Now we look to see how many soldiers we will have in total after adding. There are 520 to start and we add 780 to get 1300 total. Next we multiply that by the total per soldier per week.
10.5lbs per soldier per week * 1300 soldiers = 13,650lbs per week
Then we have to multiply by the 5 weeks that battalion will be there.
13,650lbs * 5 weeks = 68,250lbs of rations or 24.125 tons.
