MATHEMATICS MIDDLE SCHOOL

What is 30% of a $24.50 item

Answers

Answer 1
Answer:

Overall Answer:

$7.35

Complete answer:

30% of $24.50 is $7.35

Step-by-step explanation:

30% of a $24.50 item

Here are two ways to solve:

Option 1:

30% = 30/100 = 3/10 = 0.3

Multiply $24.50 by 0.3

24.50 * 0.3 = 7.35

Option 2:

30% = 30/100

Create an equation using fractions using the variable x

30/100 = x/24.50

Cross multiply (numerator * denominator / numerator * denominator)

30(24.50) = x(100)

735 = 100x

x = 7.35

Hope this helps :) Feel free to let me know if you need me to clarify any part of my answer.
Answer 2
Answer: $7.35
working:
divide by 10 to get 10%, then times 3 to get 30%

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What is 45% of 432? and how?

Answers

1. We assume, that the number 432 is 100% - because it's the output value of the task. 
2. We assume, that x is the value we are looking for. 
3. If 432 is 100%, so we can write it down as 432=100%. 
4. We know, that x is 45% of the output value, so we can write it down as x=45%. 
5. Now we have two simple equations:
1) 432=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
432/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 45% of 432

432/x=100/45
(432/x)*x=(100/45)*x       - we multiply both sides of the equation by x
432=2.22222222222*x       - we divide both sides of the equation by (2.22222222222) to get x
432/2.22222222222=x 
194.4=x 
x=194.4

now we have: 
45% of 432=194.4
answer is 194.4 he\she just explain it

Rewrite the expression as a complex number in standard form a+bi

Answers

Answer:

\textbf{$a + bi = 2 + i$}\n

Step-by-step explanation:

\textup{Given:}\n$$(4 + √(16 - (4)(5)))/(2)$$\n\textup{This can simplified as:}\n\vspace{6mm}\n

$ (4 + \sqrt(-4))/(2)$\vspace{6mm}\n$\implies (4 + 2i)/(2)$\vspace{5mm}\n$\implies 2 \left(  (2 + i)/(2) \right)$\vspace{5mm}\n$$\therefore a + bi = 2 + i$$

The expression

4 + (√(16 - (4)(5)))/(2)

can be rewritten as a complex number in standard form as 4 + i.

How did we get the value?

To rewrite the expression

4 + (√(16 - (4)(5)))/(2)

as a complex number in standard form a + bi, we need to simplify the expression inside the square root and then perform the necessary calculations.

The expression inside the square root is 16 - (4)(5) = 16 - 20 = -4. Since we have a negative value inside the square root, we can rewrite it as 2i√{1} to simplify it.

Now, let's rewrite the expression:

\[4 + (√(16 - (4)(5)))/(2) = 4 + (√(-4))/(2) = 4 + (2i√(1))/(2) = 4 + i√(1)\]

Since √{1} = 1, the expression becomes:

4 + i√{1} = 4 + i

Therefore, the expression

4 + (√(16 - (4)(5)))/(2)

can be rewritten as a complex number in standard form as 4 + i.

learn more about complex number in standardform: brainly.com/question/12241782

#SPJ6

Points and their residual values are shown in the table. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 3.3, 5, 6.2, 9., 13. The third column is labeled residual with entries 0.68, 0.04, negative 1.1, negative 0.64, 1.02. Which point is farthest from the line of best fit?

Answers

The point that is farthest from the line of best fit is : ( 3, 6.2 )

X(values)       y(values)            residual

1                    3.3                       0.68

2                   5                          0.04

3                   6.2                       -1.1

4                   9                          -0.64

5                   13                        1.02

To determine the line is best fit we graph the  plot of x and y values  ( i.e. a plot of  the y values against the x values  )

attached below is the plot showing the line of best fit

Hence From the attached residual plot we can conclude that the point that is farthest from the line of best fit is : 3(x axis ) and 6.2 ( y - axis )

learn more about line of best fit : brainly.com/question/19769235

Answer:

3, 6.2

Step-by-step explanation:

Just took the assignment.

What is a 30% increase followed by a 15% decrease?

Answers

Answer:

In the end, it’s a fifteen percent increase.

Step-by-step explanation:

What is 49.564 in expanded form

Answers

40.000+9.000+5.00+6.0+4. maybe good luck

1. If 1 cm represents 10 m, what are the actual measurements of the gym includingthe closet?
2. What are the actual measurements of the closet?
3. If 1 cm represents 12 m, what are the actual measurements of the gym including
the closet?
4. What is the area of the gym?

Answers

Answer:

1.  50 meters by 40 meters

2.  20 meters by 10 meters

3.  60 meters by 48 meters

4. DrawingGym Area = 18 sq. cm. and  Actual Gym Area = 2592 sq. m.

Step-by-step explanation:

1.

The drawing length of the GYM+CLOSET area is:

5 cm by 4 cm

Since 1 cm represents 10 m in real life, we can say the real life dimensions are:

5cm * 10 = 50 meters

4 cm * 10 = 40 meters

THe actual measurements of gym (including closet):

50 meters by 40 meters

2.

The drawing measurement of the closet would be:

2 cm length given and 1 cm width given

Since we know 1 cm represents 10 meters in real life, the actual measurements would be:

1cm * 10 = 10 meters

2 cm * 10 = 20 meters

The actual dimensions of closet:

20 meters by 10 meters

3.

Gym + Closet area is still 5cm by 4cm in the drawing.

Now, the scale changes. The new scale is:

1cm = 12 meters

So,

5cm * 12 = 60 meters

4 cm * 12 = 48 meters

The actual measurement of Gym and Closet (new scale):

60 meters by 48 meters

4.

First, let find the area of the gym. This will be total area - closet area

We know area of rectangular figure is Length * Width

SO,

Total Area = 5 * 4 = 20

Closet Area = 2 * 1 = 2

Thus,

Gym Area = 20 - 2 = 18

Gym Area = 18 sq. cm.

In real life (1cm = 12 m -- new scale), Gym Area would be:

Gym Area = 18cm^2*(12m)/(1cm)*(12m)/(1cm)=18*12*12m^2=2592m^2

Actual Gym Area = 2592 sq. m.
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