At the same rate, 31 inches of wire will cost 124 cents.
Answer:
x = 2
Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

→ Expand the brackets

→ Multiply everything by 12 to make solving the equation easier
6x - 6 - 2x - 2 = 0
→ Simplify equation
4x - 8 = 0
→ Add 8 to both sides to isolate 4x
4x = 8
→ Divide by 4 on both sides to isolate x
x = 2
⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

⇒ Substitute in the values

⇒ Simplify

⇒ Simplify further

0 = 0
The solution x = 2 is correct
Answer:
469.42 ft²
Step-by-step explanation:
w/sin27 = 38/sin40
w = sin27*38/sin40
w = 26.84 ft
∡X = 180 - 27- 40 = 113º
A = 0.5*(26.84)*(38)*sin(113)
A = 469.42 ft²
Answer: Theo's scarf is 173 + 1/3 centimeters long.
Step-by-step explanation:
The scarf of Leah is 130 centimeters long.
The one of Theo is 4/3 as long as the one of Leah, then we have that the length of the scarf of Theo is:
Lenght = (4/3)*130 cm =(4*130)/3 cm =520/3 cm
Now, we know that if all the digits of a number add up to a multiple of 3, that number is divisible by 3.
520/3 = (519 + 1)/3 = 519/3 + 1/3 = 173 + 1/3
Theo's scarf is 173 + 1/3 centimeters long.
Answer:
Step-by-step explanation:
Let's first start with the unit rate of how many metric tons each person eats per year, then we will convert metric tons to kg.
5.03/313 = .0160702875 metric tons of bananas per person
Using the conversion given:
.0160702875 metric tons ×
= 16.07 kg per person of bananas