Answer:
b = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define equation</u>
8b - 12 = 5b
<u>Step 2: Solve for </u><em><u>b</u></em>
- Subtract 5b on both sides: 3b - 12 = 0
- Add 12 on both sides: 3b = 12
- Divide 3 on both sides: b = 4
<u>Step 3: Check</u>
<em>Plug in b to verify it's a solution.</em>
- Substitute: 8(4) - 12 = 5(4)
- Multiply: 32 - 12 = 20
- Subtract: 20 = 20
And we have our final answer!
Answer:
There are 7,725 square feet of grass on the trapezoidal field
Step-by-step explanation:
Here in this question, we are interested in calculating the square feet of grass present on the trapezoidal field.
What this question is actually asking us is to calculate the area of the trapezoid-shaped grass field.
To calculate this area, what we need to do
simply is to use the formula for the area of a trapezoid.
Mathematically, the area of a trapezoid can be calculated using the formula;
Area of trapezoid = 1/2 * (a + b) * h
where a and b refers to the length of the parallel lengths of the trapezoid and h refers to the height of the trapezoid.
From the question;
a, b = 81ft and 125 ft
h = 75 ft
Substituting these values, we have :
Area = 1/2 * (81 + 125) * 75
Area = 1/2 * 206 * 75 = 83 * 75 = 7,725 ft^2
Rates like $ per channel is a slope, "m". The added fee is a constant so it's the intercept "b".
y = mx + b
So for the first problem (9)
(a)
y = total cost in dollars
x = number of premium channels
y = 16x + 44
(b) when x = 3 channels
y = 16(3) + 44
y = 92 $
the second problem (10)
(a) every 4 years the tree grows by 12-9=3 ft
So the unit rate or slope will be 3 ft per 4 yrs, (3/4). You can see this also by solving for slope "m" using the given points (4,9) and (8,12).
x = number of years
y = height of tree in ft
y = (3/4)x + b
use one of the points to find the y-intercept "b".
9 = (3/4)(4) + b
9 = 3 + b
9 - 3 = b
6 = b
y = (3/4)x + 6
(b) when x = 16
y = (3/4)(16) + 6
y = 12 + 6
y = 18 ft
elaxel5817::ለምን ይህን ይተረጉማሉ? ደህና እኔ ልዩ ሰው እንደሆንክ እና በጣም እንደምትከብር አስታውሰሃለሁ ፣ ህልምህን ተከተል እና ተስፋ አትቁረጥ ፣ ለሚሳደቡህ ሰዎች መሳደብ ፣ ወርቅ ነህ
The value of the logarithm of ln(121) is <span>
4.7958 </span>Rounding <span>the answer to the nearest ten thousandth</span>
