Help with this question, ASAP!!

One and Two step equations Escape Room.: The teeth on this key are busted. Now they must be readjusted. Find the code.

SSSSS [86.1K]

The code for Escape Room is MCYHW.

<h3>Inequalities</h3>

Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, ≤, > and ≥.

For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.

Inequality H

$-11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1$

Therefore, you should connect H with x<1.

Inequality W

$32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2$

Therefore, you should connect W with x>-2.

Inequality M

$3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12$

Therefore, you should connect M with x≤-12.

Inequality Y

$-7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\ -7x\leq -63\; *(-1)\\ \\ 7x\geq 63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9$

Therefore, you should connect Y with x≥9.

Inequality C

$-20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5} \\ \\ x\geq 7$

Therefore, you should connect C with x≥7.

Thus, the sequence is:

M - $x\leq -12$

C - $x\geq 7$

Y- $x\geq 9$

H- $x < 1$

W- $x > -2$

Read more about inequalities here.

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4 0

2 years ago

The coordinates of the vertices of triangles are listed in the options below. Which is a right triangle?

Kisachek [45]

<span>A(−3, 2), B(−4, −9), C(8, 1)
This is the right answer.
The slope of AB is perpendicular to the slope of BC.</span>

5 0

3 years ago

PLZ HELP ASAP SIMMILAR AND CONGRUENT TRIANGLES

Dvinal [7]

LA=3.5; AY=7
LW=?

LW=LA+AW
AW=?

Let's analyze triangles LAY and YAW
1) Triangle LAY
Angle LAY is 90°
Suppose Angle ALY is x
The angle LYA is the complement of x, for example y:
x+y=90°→y=90°-x

2) Triangle YAW
Angle AYW is the complement of angle LAY (y), then the angle AYW must be equal to x.
Angle YAW is 90°, because the angle LAY is 90°

The triangles LAY and YAW are similars, because they have to congruent angles:
Angle LAY = 90° = Angle YAW
Angle ALY = x = Angle AYW
Then the sides of triangles LAY and YAW must be proportionals:
AW/AY=AY/LA
Replacing the known values:
AW/7=7/3.5
AW/7=2
Solving for AW. Multiplying both sides of the equation by 7:
7(AW/7)=7(2)
AW=14

Now:
LW=LA+AW
LW=3.5+14
LW=17.5

Answer: LW=17.5 units

8 0

2 years ago

The Westminster Widget Company has an old machine that can produce 10 widgets in two hours. Now they have purchased a new machin

Aloiza [94]

First we will find the average production for each machine:
For old machine:
(10) / (2) = 5 widgets / hour
For new machine:
(30) / (3) = 10 widgets / hour
We define t:
t = Amount of time in hours:
The equation sought is:
5 + 10 = 75 / t
Clearing we have:
t = (75 / (5 + 10))
t = 5 hours
Answer:
Working together, it will take the two machines to produce 75 widgets about:
t = 5 hours

4 0

3 years ago

Laura comprou 870 gramas de carne moida e vai dividir ingualmente em 3 pacotes. Quantas gramas terão em cada pacote?

lesya [120]

Answer:

290 gramas

Step-by-step explanation:

Podemos interpretar a questão acima matematicamente como:

3 pacotes = 870 gramas

1 pacote = x

Multiplicação cruzada

3x = 1 × 870 gramas

Divida os dois lados por 3

3x / 3 = 1 × 870 gramas / 3

x = 290 gramas

Portanto, cada pacote conteria 290 gramas de carne moída

7 0

2 years ago