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
The answer should be 25.64$
You multiple that by 8% and then what you get out of it you add on to what you got as the total .
Answer:
13 flowers per arrangement
Step-by-step explanation:
8*4=32
10*2=20
8 tulips in each arrangement
5 daises in each arrangement
8+5=13 flowers
Answer:
<u>x = 120°, y = 20°</u>
Step-by-step explanation:
Let's recall that the four interior angles in any rhombus must have a sum of 360 degrees. In addition, the opposite interior angles must be equivalent, and the adjacent angles have a sum of 180 degrees.
∠ ABC and ∠ ADC are opposite interior angles, so they must have equivalent measurements, therefore x = 120 degrees.
To find the value of y, we use this equation because the interior angles of the Δ ADC add up to 180:
y = 180 - 120 - 40
y = 180 - 160
y = 20 degrees ⇒ z = 40 degrees
Answer:
<u>The series:</u>
This is an AP with the first term a₁ = 10 and common difference d = 6
a) <u>Recursive formula:</u>
b) <u>Explicit formula:</u>
- aₙ = a₁ + 6(n - 1) ⇒ aₙ = 10 + 6n - 6 ⇒ aₙ = 6n + 4
c) <u>n = 5 ⇒ a₅ = ?</u>
d) <u>S₁₇ = ?</u>
- Sₙ = n(a₁ + aₙ)/2 = n(2a₁ + (n - 1)d)/2
- S₁₇ = 17(2*10 + 16*6)/2 = 986
