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3 years ago

What is the total cost of a DVD that sells for $22.99 plus a 5% sales tax?

Mathematics

2 answers:

brilliants [131]3 years ago

7 0

The total cost of it was $72.92 she had 10 dollars left.

Dmitry [639]3 years ago

5 0

It’s 72.92 and had $10 left

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<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%207xy%20%2B%2012%20%7By%7D%5E%7B2%7D%20" id="TexFormula1" title=

il63 [147K]

(x +3y)(x + 4y) tell me if you want me to tell you how I found it.

3 0

3 years ago

Use the diagram below to answer parts B, and C.

expeople1 [14]

Answer:

The volume of the triangular prism in the diagram is:

105.5 $in^{3}$

The surface area of the triangular prism in the diagram is:

10.75 $in^{2}$

Step-by-step explanation:

First, we're gonna calculate the surface area to obtain the volume, then, to calculate the area of a triangle (because the surface o a triangular prism is just a triangle), you can use the formula:

Area of a triangle = (base * height) / 2

We have this data from the diagram, where the base of the triangles is 5 inches and, the height is 4.3 inches, replacing this in the formula:

Area of a triangle = ( 5 in * 4.3 in) / 2
Area of a triangle = ( 21.5 $in^{2}$ ) / 2
Area of a triangle = 10.75 $in^{2}$

Now, we can calculate the volume of the triangular prism with the next formula:

Volume of a triangular prism = surface area * depth

In the diagram, we can see the depth is 14 inches, then:

Volume of a triangular prism = 10.75 $in^{2}$ * 14 in
Volume of a triangular prism = 105.5 $in^{3}$

How you can see with the calculations perfomed, the surface area is 10.75 $in^{2}$ and the volume of that triangular prism is 105.5 $in^{3}$ .

7 0

3 years ago

What is the value of 4 in the number 745?

Nadya [2.5K]

We need to find the value of 4 in the given number which is 745:
To be able to get the value of 4, we need to get familiar to each digit’s place value. => Let us give the value of each digit first.
=> 5 = placed in one’s value
=> 4 = placed in tens value
=> 7 = placed in hundreds value

Thus,
=> 745 = 700 + 40 + 5

Therefore the value of 4 in 745 is tens or 40.

4 0

3 years ago

3. A computer is worth $4000 when it is new. After each year it is worth half what it was the previous year

MrMuchimi

Answer:

Answer is 500

btw did round sorry

Step-by-step explanation:

First year

4,000 divided by 2,000=2,000

Second year

2,000 divided by 2=1,000

Third year

1,000 divided by 2=500

7 0

3 years ago

Read 2 more answers

Which of the following would best be solved using factoring the difference of squares? 2² + 3x - 10 = 0 O 3r² + 12x = 8 2³ +52²

IgorC [24]

Given: Different equations

To Determine: Which would be best solved using difference of two squares

Solution

The factorization of a difference of two squares is given below

$a^2-b^2=(a-b)(a+b)$

Let us examine each of the given equation

$\begin{gathered} x^2+3x-10=0 \\ x^2-2x+5x-10=0 \\ x(x-2)+5(x-2)=0 \\ (x-2)(x+5)=0 \end{gathered}$ $\begin{gathered} 3x^2+12x=8 \\ 3x^2+12x-8=0 \end{gathered}$ $\begin{gathered} x^3+5x^2-9x-45=0 \\ x^2(x+5)-9(x+5)=0 \\ (x+5)(x^2-9)=0 \\ x^2-9=x^2-3^2=(x+3)(x-3) \\ Therefore \\ (x+5)(x+3)(x-3)=0 \end{gathered}$ $\begin{gathered} x^2-25=0 \\ x^2-5^2=0 \\ (x+5)(x-5)=0 \end{gathered}$

From the above,

$\begin{gathered} x^3+5x^2-9x-45=0 \\ AND \\ x^2-25=0 \end{gathered}$

The two equation above can be solved by difference of two square, but the equation below is the easiest solved using differnce of two square

x² - 25 = 0

3 0

1 year ago