Answer:
Step-by-step explanation:
"The difference of two numbers is 15."
x-y = 15
x>y
"Five times the smaller number is the same as 9 less than twice the larger number."
5y = 2x-9
y = x-15
substitution
5(x-15) = 2x-9
5x-75 = 2x-9
3x = 66
x = 22
y = x-15 = 7
Answer:
It will take 5 weeks for you and your friend to have the same balance
Step-by-step explanation:
Let
Your savings expression be
135 + 12x
Your friends savings expression
95 + 20x
Where,
x = number of weeks for you and your friend to have the same balance
Equate the two expressions
135 + 12x = 95 + 20x
Collect like terms
135 - 95 = 20x - 12x
40 = 8x
Divide both sides by 8
40/8 = x
x = 40/8
= 5
x= 5 weeks
Check
Your savings expression
135 + 12x
135 + 12(5)
=135 + 60
= $195
Your friends savings expression
95 + 20x
95 + 20(5)
= 95 + 100
= $195
Therefore, It will take 5 weeks for you and your friend to have the same balance
Answer:
7x+12y
Step-by-step explanation:
Simplify
4x+9y+3(x+y)
<em>Use the distributive property to multiply 3 by x+y.
</em>
4x+9y+3x+3y
<em>Combine 4x and 3x to get 7x.
</em>
7x+9y+3y
<em>Combine 9y and 3y to get 12y.
</em>
7x+12y
Answer:
The answer to your question is below
Step-by-step explanation:
Data
A (4 , -3)
r = ?
sin = ?
cos = ?
tan = ?
Process
1.- Plot the point
This point is in the fourth quadrangle
2.- Calculate r
We have the Opposite side and the Adjacent side
tan Ф = -3/4
tan⁻¹ Ф = Ф = 323.1
Ф = 323.1°
3.- sinФ =
Calculate the hypotenuse
c² = 4² + (-3)²
c² = 16 + 9
c² = 25
c = 5
sinФ = -3/5
cos Ф = 4/5
tan Ф = -3/4
Total journey of bob was 108 miles .
<u>Step-by-step explanation:</u>
Here we have , Bob traveled 90 miles which was 83 1 3 % of his trip. We need to find How long was the trip .Let's find out:
According to question , Bob has traveled a distance of :
⇒ 
Which is 
of his journey . So , Let total miles be x , So we have following equation framed according to question as :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , Total journey of bob was 108 miles .
