Step-by-step explanation:Step 1: Simplify both sides of the equation.
4−(2y−1)=2(5y+9)+y
4+−1(2y−1)=2(5y+9)+y(Distribute the Negative Sign)
4+−1(2y)+(−1)(−1)=2(5y+9)+y
4+−2y+1=2(5y+9)+y
4+−2y+1=(2)(5y)+(2)(9)+y(Distribute)
4+−2y+1=10y+18+y
(−2y)+(4+1)=(10y+y)+(18)(Combine Like Terms)
−2y+5=11y+18
−2y+5=11y+18
Step 2: Subtract 11y from both sides.
−2y+5−11y=11y+18−11y
−13y+5=18
Step 3: Subtract 5 from both sides.
−13y+5−5=18−5
−13y=13
Step 4: Divide both sides by -13.
−13y
−13
=
13
−13
y=−1
Answer: y =-1
Answer:
=24x+3y
Step-by-step explanation:
6(5x+2y)−3(2x+3y)
Distribute:
=(6)(5x)+(6)(2y)+(−3)(2x)+(−3)(3y)
=30x+12y+−6x+−9y
Combine Like Terms:
=30x+12y+−6x+−9y
=(30x+−6x)+(12y+−9y)
=24x+3y
Answer: 20 oranges and 5 mangoes
Step-by-step explanation:
Define the following:
x = number of oranges
y = number of mangoes
Make the following system of equations:
x + y = 25
0.35x + 1.00y = 12.00
Solve for x:
y = 25 - x
⇒ 0.35x + 1.00(25 - x) = 12.00
⇒ 0.35x + 25 - x = 12.00
⇒ -0.65x = -13.00
⇒ x = 20
Solve for y:
20 + y = 25
y = 5
∴ 20 oranges and 5 mangoes were purchased.
GCF or GCM? I’m not sure if you typed it in wrong or not. I’m just making sure
The amount of water in the pool after t minutes is modeled by the linear function 
, hence it is a function of time.
A <em>linear function</em> for the amount of water in the pool, considering that it is <u>drained at a rate of a gallons per minute</u>, is modeled by:
- In which V(0) is the initial volume.
In this problem, draining her hot tub at a rate of <u>5.5 gallons per minute</u>, hence 
, and:
Which is a function of time.
To learn more about linear functions, you can take a look at brainly.com/question/13488309
