Answer:
(10, 3)
Step-by-step explanation:
Solve by Substitution
2x − 4y = 8 and 7x − 3y = 61
Solve for x in the first equation.
x = 4 + 2y 7x − 3y = 61
Replace all occurrences of x with 4 + 2y in each e quation.
Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61
x = 4 + 2y
Simplify 7 (4 + 2y) − 3y.
28 + 11y = 61
x = 4 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
11y = 33
x = 4 + 2y
Divide each term by 11 and simplify.
y = 3
x = 4 + 2y
Replace all occurrences of y with 3 in each equation.
Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)
y = 3
Simplify 4 + 2 (3).
x = 10
y = 3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(10, 3)
The result can be shown in multiple forms.
Point Form:
(10, 3)
Equation Form:
x = 10, y = 3
It is A= 149 because it adds to 180. 180-31=149
Answer:
70
Step-by-step explanation:
63/9 = 7
7 * 10 = 70
Velocity=distance/time
Data:distance=10 Km=10 km*(0.621 miles/1 km)=6.21 miles.time=55 minutes
Velocity=6.21 miles/55 minutes=0.11290909... miles/minute≈0.113 miles/ minute
Data: distance=1 mile.velocity=0.113 miles/minute
time=distance /velocitytime=(1 mile) / (0.113 miles/ minute)=8.85668... minutes≈8.86 minutes.
Answer: D 8.86 minutes.
A perfect square must be hidden within all of those radicands in order to simplify them down to what the answer is.
.
.
. The rules for adding radicals is that the index has to be the same (all of our indexes are 2 since we have square roots), and the radicands have to be the same. In other words, we cannot add the square root of 4 to the square root of 5. They either both have to be 4 or they both have to be 5. So here's what we have thus far:
. We can add
and
to get
. That means as far as our answer goes, A = 72 and B = 4, or (72, 4), choice a.
