Answer:
The formula for the area of a parallelogram is bh.
15(h) = 300
h = 20
The height of the parallelogram is 20 yards.
Instructions? "Find the number."
12 + 5n = 9n
12 = 4n and so n = 3 (answer)
Answer:
x = -10
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 36 - 4.5x + 36 = 102 - 7.5x - 60
- Combine like terms: -4.5x + 72 = -7.5x + 42
- Add 7.5x on both sides: 3x + 72 = 42
- Subtract 72 on both sides: 3x = -30
- Divide 3 on both sides: x = -10
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
- Simplify: 4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
- Multiply: 4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
- Add: 4.5(18) + 36 = 102 - 2.5(-6)
- Multiply: 81 + 36 = 102 + 15
- Add: 117 = 117
Here we see that 117 does indeed equal to 117.
∴ x = -10 is a solution of the equation.
Step-by-step explanation:
step 1 find thd equation of line PI
step 2 find the equation of line AD
step 3 solve the two equations of the 2 lines
step 4 the valued of x and y obtained from step 3are yhe coordinates of the intetcept
Answer:
Step-by-step explanation:
Use the geometric sequence of numbers 1, 3, 9, 27, � to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer: r=3
Show work in this space.
r=a2/a1=a3/a2=a4/a3 they all have the same ratio.
r=3/1=9/3=27/3=3
:
b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
Answer: a10=19683
Show work in this space.
an=a1*r^(n-1)
a10=1(3)^(10-1)
