Let distance of Sarah from school = x
Distance of sam from school = 3.5x or 13.3
=> 3.5x = 13.3
X = 13.3/ 3.5
X = 3.8
Answer:
1.5 units squared
Step-by-step explanation:
Area of a Triangle formula: A = 1/2bh
Pythagorean Theorem: a² + b² = c²
Since you are missing the <em>h </em>to find the area of the triangle, you must use Pythagorean to find the 3rd missing side (it is a right triangle so you can use Pythagorean).
Step 1: Use Pythagorean
2.5² = 1.5² + b²
4 = b²
b = 2
Step 2: Switch variables
b (from Pythagorean) = h (height for Area)
Step 3: Solve for Area
A = 1/2(1.5)(2)
A = 1.5
And you have your final answer.
Ok, so you have your equation, 5·x+5-(5x+25).
First, do the prathases, so you have, 5x+5-5x-25.(5·x also means 5x)
Now, you need to combine like terms, and through that the xs cancel out, so you are left with -20 as you answer.
Answer:
8 unit doses
Step-by-step explanation:
A 0.0417% concentration means that 100 mL of solution contains 0.0417 grams = 41.7 mg of the active ingredient.
Cross-multiplying
100 mL ------- 41.7 mg
x mL------- 10 mg
100/x = 41.7/10 --------> x = 1000/41.7 = 23.9808 = 24 mL rounding to the nearest integer.
As a unit dose of Levalbuterol HCL contains 3.0 mL,
we need 24/3 = 8 unit doses to obtain 10 mg of the active substance.
Answer:
y = - 3x - 2
Step-by-step explanation:
The function is linear and can be expressed in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (- 1, 1) ← 2 ordered pairs from the table
m = 
= 
= 
= - 3 , then
y = - 3x + c
To find c substitute any ordered pair into the equation
using (0, - 2 ) , then
- 2 = - 3(0) + c = 0 + c ⇒ c = - 2
y = - 3x - 2 ← function rule
