Answer:
Number of rocks and fossils collected by you is <u>1 and 24</u> respectively
Number of rocks and fossils collected by your friend is <u>3 and 12 </u>respectively
Step-by-step explanation:
Let the number of Rocks you collect be x
Let the number of Fossils you collect be y
Then the total number pf objects you collected will be
x + y = 25
x = 25 - y------------------------------(1)
Your friend collects three times as many rocks and half as many fossils as you.
This can be written as
3x + y (1/2) = 15
3x + (y/2) = 15-------------------(2)
Substituting (1) in (2)
3(25 - y) + (y/2) = 15
75 - 3y + (y/2) = 15
Grouping the like terms we get,
75 - 15 = 3y = (y/2)
60 = ( 6y - y /2)
60 x 2 = 6y -y
120 = 5y
y = 120/5
y = 24
Substituting y value in equation(1) we get
x = 25 - 24
x= 1
y= 24
Friends collects 3 times rock
so collects 3x =3(1) = 3rocks
Also he collects half as many fossils
That is
y/2 = 24/2 = 12 fossils
<u><em>Hope this help you! :)</em></u>
Answer:
من نفی فحمم کی فو چیمه کی روش در این دنیا و آخرت را به
ANSWER
8, 10, 12, 14, . . .
EXPLANATION
The given rule for the sequence is :
f(n)=2n+6
The domain for a sequence is the set of natural numbers.
When n=1,
f(1)=2(1)+6=8
When n=2,
f(2)=2(2)+6=10
When n=3,
f(3)=2(3)+6=12
When n=4,
f(4)=2(4)+6=14
Therefore the sequence that follows the given rule is
8, 10, 12, 14, . . .
The value of x in the given equation is 0.03
<u>Step-by-step explanation:</u>
The given equation is that
<u>The steps to be followed to solve the equation are :</u>
Add the like terms together to reduce the equation in a simplified form.
Here, there are two x terms and they must be reduced to a single term.
For this, add the both terms together so that the equation is simplified into one x term and a constant term.
⇒
⇒
To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.
⇒
⇒
Now, the equation is further simplified by dividing 4.15 on both sides,
⇒
⇒
Therefore, the value of x is 0.03