E - English homework, M - Math homework;
M + E ≤ 2 hours
M = 2 E
2 E + E ≤ 2 hours
3 E ≤ 2 hours = 120 minutes
E ≤ 120 : 3
E ≤ 40 minutes
Answer:
The student will be able to finish his English homework in less or equal to 40 minutes.

7 0

4 years ago

The lawn of TOIS is in the shape of a rectangle that is 24m long and 10m wide. How many meters shorter is your walk if you choos

irakobra [83]

It’s 8 meters shorter

6 0

4 years ago

Are the equations 2x - y = - 4 and 3x + y = -1 dependent, independent or neither

steposvetlana [31]

Answer:

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Step-by-step explanation:

Given the system of equations

$\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}$

$\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12$

$\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2$

$\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}$

$6x+2y=-2$

$-$

$\underline{6x-3y=-12}$

$5y=10$

so the system of equations becomes

$\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}$

solving 5y = 10 for y

$5y=10$

Divide both sides by 5

$\frac{5y}{5}=\frac{10}{5}$

simplify

$y=2$

$\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2$

$6x-3\cdot \:2=-12$

$6x-6=-12$

Adding 6 to both sides

$6x-6+6=-12+6$

$6x=-6$

Divide both sides by 6

$\frac{6x}{6}=\frac{-6}{6}$

$x=-1$

Therefore, the solution to the system of equations be:

$x=-1,\:y=2$

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

6 0

3 years ago

Help me please! I'm stuck and I need the answer now! Thx so much!

Bess [88]

Answer:

Step-by-step explanation:

Given

z = -3 + 5i

Conjugate of z is:

z' = -3 - 5i

Product zz' is:

zz' = (-3 + 5i)(-3 - 5i) = (-3)² - (5i)² = 9 - 25(-1) = 9 + 25 = 34

4 0

3 years ago

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