Answer
The equation shows this situation is Option (B) .
i.e G=2E+3
Reason
As given
Gary is 3 years older than twice the age of his sister (Elena) .
Let us assume that the age of the Gary be G.
Let us assume that the age of the Elena be E.
Than the equation becomes
E = 2G + 3
Therefore option (B) is correct .
The first thing we must do for this case is to define variables.
We have then:
G: Gary's age
E: Elena's age
We then have the following expression:
Gary is 3 years older than twice the age of his sister (Elena):
Using the defined variables, we can write the expression as:
G = 2E + 3
Answer:
an equation for this situation is:
B) G = 2E + 3
We want to solve a system of linear equations, we will get that the solution is (8, -22)
A system of equations is a group of equations that we must solve simultaneously.
Here we have two lines defined by tables:
line 1:
x y
-4 26
-2 18
0 10
2 2
line 2:
x y
-4 14
-2 8
0 2
2 -4
Remember that a line is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:
With this we can find the slope of the first line, using any pair of the given points, I will use (0, 10) and (2, 2)
And we know that the line passes through (0, 10), then the y-intercept is equal to 10.
y = -4*x + 10
For line 2 we can use the points (0, 2) and (2, - 4), so we get:
And the y-intercept is y = 2, then the line is:
y = -3*x + 2
Now we must solve:
-4*x + 10 = -3*x + 2
10 - 2 = 4x - 3x
8 = x
Now we evaluate x = 8 in any of the two lines:
y = -3*8 + 2 = -22
Then the solution of the system is (8, -22)
If you want to learn more, you can read:
Answer:
(8,-22)
Step-by-step explanation:
i just took the test and checked
The combinations of sizes allow him to empty the bathtub in exactly four trips is a 5-liter bucket with the 3-liter bucket twice, a 3-liter bucket and the 4-liter bucket.
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Paul's bathtub is clogged. He has to empty 30 liters of water by hand.
Paul has a 3-liter, a 4-liter, and a 5-liter bucket.
If Paul carries two buckets each trip, we need to find the combinations of sizes that allow him to empty the bathtub in exactly four trips.
5 and 3 = 8 liters ,
5 and 4 = 9 liters,
3 and 4 = 7 liters.
8 + 7 + 8 + 7 = 30 liters,
So,
He can take the 5-liter bucket with the 3-liter bucket twice, and then he can use the 3-liter bucket and the 4-liter bucket twice.
Learn more about the unitary method;
#SPJ2
Answer:
60 miles/per hour
Step-by-step explanation:
360 miles in 6 hours means 360/6 (m/h)
= 60/1 (m/h)
= 60 miles/per hour
Hope this helped :3
8n+3n-7
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6x2N-3(n-1)
Enter the answer in lowest terms.