Answer:
x=-5 Hope this helped! Goodnight!
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(2x+6)=12
Step 1: Simplify both sides of the equation.
−3(2x+6)=12
(−3)(2x)+(−3)(6)=12(Distribute)
−6x+−18=12
−6x−18=12
Step 2: Add 18 to both sides.
−6x−18+18=12+18
−6x=30
Step 3: Divide both sides by -6.
−6x
/−6
=
30
/−6
x=-5
Sample Answer: No, Ingrid is incorrect. The initial value in the scenario is 170 feet, which represents the y − intercept. Receding 4 feet in the scenario represents the rate of change, which is the slope. In slope-intercept form, y = mx + b, where m represents slope and b represents the y−intercept, so the correct equation is y = −4x + 170.
Answer:
15 black water bottles
Step-by-step explanation:
let w represent white water bottles, and let b represent black water bottles.
set up a system of equations:
w+b=20
w+2b=35
(the top equation shows that the number of white water bottles he sold and the number of black water bottles he sold equals to 20, since it says that the total number of water bottles is 20. the bottom equation shows that white water bottles cost $1, and black water bottles cost $2, and that the total amount of money he got from selling them is $35).
in the top equation, isolate w:
w+b=20
w=20-b
now we do substitution. in the bottom equation, substitute 20-b for w:
w+2b=35
20-b+2b=35
then, solve:
b+20=35
b=15
this means that he sold 15 black water bottles.
Answer:
The answer is A.
Step-by-step explanation:
Given that the formula of area of triangle is, A = (1/2)×b×h. Then substitute the following values into the formula :
b = 10 units
h = 4 units
A = (1/2)×10×40
= (1/2)×40
= 20 units²