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tekilochka [14]
4 years ago
10

Have student write the answer to the essential question and draw examples to expels their answer

Mathematics
1 answer:
sashaice [31]4 years ago
8 0
What is the essential question?
You might be interested in
A blue spruce grows an average of 6 inches per year. A hemlock grows an average of 4 inches per year. If a blue spruce is 4 feet
meriva

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

6 0
4 years ago
Solve 2x-3&lt; 2<br>please answer it fast ​
murzikaleks [220]

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

4 0
3 years ago
Solve the equation: 5/6 = 1/3 + D
Sauron [17]
Answer: \frac{1}{2} 
 
Explanation:
\frac{5}{6} =  \frac{1}{3}  + D 
\frac{5}{6}  -  \frac{1}{3} = \frac{1}{3}  -  \frac{1}{3} + D 
\frac{5}{6} -  \frac{1}{3} = D 
\frac{5}{6} - 2(\frac{1}{3}) = D
\frac{5}{6} - \frac{2}{6} = D 
\frac{3}{6} = D = \frac{1}{2}
8 0
4 years ago
A washer and a dryer cost $587 combined. The washer costs $63 less than the dryer. What is the cost of the dryer?
Ghella [55]

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:

w+d=587

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

w=d-63

Thus, we have the system of equations:

\displaystyle \begin{cases} w+d = 587 \\ w=d-63\end{cases}

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

(d-63)+d=587

Combine like terms:

2d-63=587

Add 63 to both sides:

2d=650

And divide both sides by two. Hence:

d=325

The dryer costs $325.

Further Notes:

And since the washer is $63 less, the washer costs:

w=(325)-63=262

The washer costs $262.

6 0
3 years ago
4x+4y=32
Mnenie [13.5K]

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)

8 0
3 years ago
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