Let the amount of shells collected by Aaron be
and the amount of shells collected by Maria be
respectively. Then the following system of equations should be solved:
First of all, express
out of first equation:
Then, replace
in second equation with found expression and solve it:
Finally, replace
in first equation with found value and solve it too:
So, Aaron has found
7 shells while Maria has found
21.
x = 3 or x = 1
note that log 5 is usually taken to mean 
5
using the law of logarithms
logx - logy = log (
)
the right hand side can be expressed as
log 10000 - log 16 = log (
) = log 625
divide both sides by log 5
x² - 4x + 7 = 
= 4
subtract 4 from both sides
x² - 4x + 3 = 0 ← in standard form
(x - 3 )(x - 1) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 1 = 0 ⇒ x = 1
Answer:
He walks 150 km in 2.5 hours.
Step-by-step explanation:
From 9:30 a.m. to noon, it's 2.5 hours.
distance = speed * time
distance = 60 km/h * 2.5 h
distance = 150 km
Answer: He walks 150 km in 2.5 hours.
Answer:
p, m, n.
Step-by-step explanation:
It is given that,
Here, p is the name of the function and its variable is m which is independent.
Independent variable : Whose value does not depend on another variable.
Dependent variable : whose value depends on the another variable.
Since the value of n depends on the value of p(m) which is a function of m, therefore n is a dependent variable which depends on the variable m.
∴ If n = p(m), p is the function name, m is the independent variable, and n is the dependent variable.
Answer:
Adjacent angles are two angles in the same plane with a common <u>VERTEX</u> and a common <u>SIDE</u> but no common interior points.
Step-by-step explanation:
Adjacent angles share a common side on the same vertes, but they do not overlap each other.
In the attached image, ∠ABD is adjacent to ∠DBC, but ∠ABC is not adjacent to any of them.
