Answer: it will take 12 years for both trees to be of the same height.
Step-by-step explanation:
Let x represent the number of years that it will take for the blue spruce and the hemlock to be the same height.
A blue spruce grows an average of 6 inches per year. If a blue spruce is 4 feet tall,
1 inch = 0.0833 feet
6 inches = 6 × 0.0833 = 0.4998 feet
it means that its height in x years would be
0.4998x + 4
A hemlock grows an average of 4 inches per year. If a hemlock is 6 feet tall.
4 inches = 4 × 0.0833 = 0.3332 feet
it means that its height in x years would be
0.3332x + 6
The number of years that it will take both trees to be of same height is
0.4998x + 4 = 0.3332x + 6
0.4998x - 0.3332x = 6 - 4
0.1666x = 2
x = 2/0.1666
x = 12
Answer:
x<5/2
Step-by-step explanation:
We have
2x−3<2
Add 3 to both sides.
2x−3 +3 <2 +3
which makes
2x<5
Divide both sides by 2.
2x/2 < 5/2
x<5/2
Answer:
The dryer costs $325.
Step-by-step explanation:
Let <em>w</em> represent the cost of the washer and <em>d</em> represent the cost of the dryer.
They cost $587 combined. In other words:

The washer costs $63 less than the dryer. Therefore:

Thus, we have the system of equations:

We can solve it using substitution. Substitute the second equation into the first. Hence:

Combine like terms:

Add 63 to both sides:

And divide both sides by two. Hence:

The dryer costs $325.
Further Notes:
And since the washer is $63 less, the washer costs:

The washer costs $262.
The given system of equations 4x + 4y = 32 and 3x + 24 = 3y has only one solution
<u>Solution:</u>
Given, system of equations are:
4x + 4y = 32 ---- eqn (1)
3x + 24 = 3y ----- eqn (2)
We have to determine whether the system has one solution, no solution, or infinitely many solutions.
Now let us solve the given system of equations to determine.
Now, eqn (1) can be written as,
4(x + y) = 32
x + y = 8
x = 8 – y
So, substitute "x" value in eqn (2) to get the value of "y"
3(8 – y) + 24 = 3y
24 – 3y + 24 = 3y
48 = 3y + 3y
y = 8
Then, x = 8 – 8 = 0
Hence we got x = 0 and y = 8
Hence, the given system of equations has only one solution (x, y) = (0, 8)