Answer:
x=-8/3
Step-by-step explanation:
group like terms: -3x+-6x=-9x
add 2 to both sides: 2+22=24
divide both sides by -9: -9x/-9=24/-9
x=-8/3
There are 25 $10 bills and 11 $20 bills.
Step-by-step explanation:
Given,
Worth of proceeds from garage = $470
Let,
x be the number of $10 bills
y be the number of $20 bills.
According to given situation;
10x+20y=470 Eqn 1
x = y+14 Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 30

Putting y=11 in Eqn 2

There are 25 $10 bills and 11 $20 bills.
Keywords: linear equation, substitution method
Learn more about linear equations at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
From the given right angle triangle,
The unknown side represents the hypotenuse of the right angle triangle.
With m∠40 as the reference angle,
x represents the adjacent side of the right angle triangle.
4 represents the opposite side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Tan 40 = 4/x
x = 4/Tan 40 = 4/0.839
x = 4.8
The stirrup bone is the shortest bone in the body?
David should buy Car A because it covers more miles in one gallon than Car B
Step-by-step explanation:
Given
Distance traveled by Car A = 
Gallons used by Car A = 
Distance traveled by Car B = 
Gallons used by Car B = 
In order to find the distance traveled on one gallon, we will divide the total distance by number of gallons
So,
Distance traveled by Car A in one gallon = 
Distance traveled by Car B in one gallon = 
We can see that Car A travels more distance in one gallon that is 58.5 miles per gallon
So,
David should buy Car A because it covers more miles in one gallon than Car B
Keywords: Fractions, Unit rate
Learn more about unit rate at:
#LearnwithBrainly