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Verizon [17]
3 years ago
5

Find the unit rate with the second given unit in the denominator.

Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0
The answer should be 6/1 or 6.
I hope this helps.
YOU'RE WELCOME :D
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Find the area of the rectangle.
kirill115 [55]

Answer:

40 units²

Step-by-step explanation:

Area of Rectangle: A = lw

Step 1: Define variables

<em>l</em> = 8

<em>w</em> = 5

Step 2: Substitute and evaluate

A = 8(5)

A = 40 u²

4 0
3 years ago
Solve this equation by completing the square: x2 + 4x – 13 = –8
marishachu [46]

Answer:

x = 1 or x = -5

Step-by-step explanation:

We are given;

  • The quadratic equation, x² + 4x - 13 = -8

We are required to solve the equation using the completing square method.

To do this, we use the following steps;

Step 1: We make sure the coefficient of x² is one

x² + 4x - 13 = -8

Step 2: Combine the like terms (take the constant term to the other side)

x² + 4x - 13 = -8

x² + 4x = -8 + 13

we get

x² + 4x  = 5

Step 3: We add the square of half the coefficient of x on both sides of the equation

Coefficient of x = 4

Half of coefficient of x = 2

Square of half the coefficient of x = 2² (4)

We get;

x² + 4x + (2²)  = 5 + (2²)

Step 4: Put x and 2 under one square and the solve the other side of the equation.

We get

(x + 2)² = 5 + 4

(x + 2)² = 9

Step 5: Get the square root on both sides of the equation;

(x + 2)² = 9

√(x + 2)² = ±√9

(x + 2)= ±3

Therefore;

x+2 = + 3 or x + 2 = -3

Thus, x = 1 or -5

The solution of the equation is x = 1 or x = -5

6 0
3 years ago
There are as many girls as there are boys in a class. 8 girls went for a dance competition. now there are twice as many boys as
Rashid [163]
Let the number of girls be x and the number of boys be y

The number of boys is the same as the number of girls.
x = y 
The number of boys is twice the number of girls when 8 girls left.
2(x - 8) = y


x = y ---------------- (1)
2(x - 8) = y -------- (2)

Sub (1) into (2)

2(y - 8) = y
2y - 16 = y
2y - y = 16
y = 16
There were 16 boys and 16 girls initially.

16 + 16 = 32 
There were a total of 32 students in the class initially. 



4 0
3 years ago
Quadrilateral ABCD​ is inscribed in this circle.
Svetllana [295]

Answer:

132°

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle,

So, it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

\implies \: x \degree + (3x - 12) \degree = 180 \degree \\  \\ \implies \: (4x - 12) \degree = 180 \degree \\  \\  \implies \: 4x - 12  = 180  \\  \\ \implies \: 4x   = 180  + 12 \\  \\ \implies \: 4x   = 192 \\  \\ \implies \: x   =  \frac{192}{4}  \\  \\ \implies \: x   = 48\\\\

(3x-12)° = (3*48 - 12)° = (144 - 12)° = 132°

\implies \: m\angle B   = 132\degree\\\\

5 0
2 years ago
How do you do this???
skelet666 [1.2K]

Answer:

i think itd -4 * x which is -4x and you do -4*3 which is -12 so its -4x+-12=8 and then you add 12 to both sides so -12+12 will cancel and then 8+12=20 so its -4x=20 and the answer would be X= -5

Step-by-step explanation:

Can I please have brainliest

3 0
2 years ago
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