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4 years ago

6

Please help me answer this question, thank youuuu!

1 answer:

butalik [34]4 years ago

4 0

Answer:

The one on the bottom: d^-1(x)=1/2*x +2

Step-by-step explanation:

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Is the mean average number on these five cards is six what is the number on the bottom card. 7,8,5,2,_

netineya [11]

6×5=30. the sum of the five numbers is 30. then just do 30-7-8-5-2=8. 8 is the number on the bottom card.

5 0

4 years ago

Read 2 more answers

A magician’s stage has a rectangle trapdoor which is (x+ 1/2) by 2x ft. The outside rectangle length is (x+ 16) ft.

Katen [24]

Answer:

Part A:- $x +11 ft$ Part B:- $(4x+54)ft$ part C:- $x= 2ft$

Part D:- Yes it satisfy his requirement

Step-by-step explanation:

Given that,

length and breadth of Trapdoor are $(x+ \frac{1}{2} ) by 2x$ ft.

The Outside length of Rectangle is $(x+16 )$ ft.

Part A:- Total area (in square feet) of the stage can be represented by

$x^{2} + 27x+ 176$ . Write an expression for the width of stage.

So, Area of rectangle = $length \times breadth$

$x^{2} + 27x+ 176 = (x+16) \times breadth$

$Breadth = \frac{x^{2} + 27x+ 176}{x+16}$

$Breadth = x+11$ ft. ................(1)

Part B:- Write an expression for the Perimeter of the stage.

Here, Perimeter of Rectangle = $2(L+B)$

= $2(x+16 + x +11)$

= $(4x + 54) ft$

Part C:- The area of trapdoor is $10 ft^{2}$ . Find the value of x.

So, Area of trapdoor = $10 ft^{2}$

$(x +\frac{1}{2}) \times 2x =10 ft^{2}$

$2x^{2} +x - 10 = 0$

$x = \frac{-1-9}{4}$ , $\frac{-1+9}{4}$

$x = \frac{-5}{2}$ , $2$

Hence value of x is $2 ft$ (Neglecting the negative value because

length cannot be negative).

Part D:- The magician wishes to have the area of the stage be at least 20 times the area of the trapdoor. Does this stage satisfy his requirement? Explain.

So, Length of trapdoor is $(2+\frac{1}{2} ) = \frac{5}{2} ft$

breadth of trapdoor is $2\times 2 = 4ft$

Now, outside length of Rectangle is = $18ft$

And outside breadth of rectangle is = $13ft$

Here, Area of trapdoor = $\frac{5}{2} \times 4 = 10ft^{2}$ ...................(2)

Area of rectangle = $18 \times 13= 234 ft^{2}$ ....................(3)

Thus comparing Equation (1) & (2) we found that

Area of rectangular stage is 20 times greater than the area of trapdoor.

7 0

4 years ago

The fraction 9/15 is an equivalent fraction of<br><br> 6/20 <br><br>1/2 <br><br>3/5

Mama L [17]

Answer:

3/5

Step-by-step explanation:

3/5 is equal to 9/15.

7 0

3 years ago

Read 2 more answers

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Westkost [7]

Answer:

f(0) =4

f(6) =8

Step-by-step explanation:

f(0) = ?

We know 0 is less than 5 so we use the first part of the step function

f(0) = 0+4

= 4

f(6) = ?

6 is between 5 and 7 so we use the second part of the step function

f(6) =8

8 0

3 years ago

The area of a right triangle is 49 square inches. The base is

Citrus2011 [14]

Answer:

height: 7 in

base: 14 in

Step-by-step explanation:

Let the height of the triangle equal x. This means that the base can be represented by the expression 2x. Now we plug these values into the area formula for a triangle:

A = bh / 2

49 = x * 2x / 2

And simplify

49 = x^2

We can find the square root of both sides to get x = 7, so the height is 7 inches. Since the base is twice the height, it is 14 inches.

7 0

3 years ago

Read 2 more answers