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muminat
3 years ago
13

Tucker bought a new speaker priced at $45 and the sales tax is 7%. What is the total cost of the speaker after tax?

Mathematics
2 answers:
Helen [10]3 years ago
4 0

Answer:

$48.15

Step-by-step explanation:

OleMash [197]3 years ago
3 0
The total cost is $41.85


Amount Saved = 45 x 7 / 100
Amount Saved = 315 / 100
Amount Saved = $3.15 (answer).
In other words, a 7% discount for a item with original price of $45 is equal to $3.15 (Amount Saved).
Note that to find the amount saved, just multiply it by the percentage and divide by 100.
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Step-by-step explanation:

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1/2 x ( 6 x 4 ) divided by (3 + 2)
Anvisha [2.4K]

Answer:

Step-by-step explanation:

\frac{\frac{1}{2} *(6*4)}{3+2}\\\\\frac{12}{5} \\\\2.4 = 2\frac{2}{5}

5 0
3 years ago
Which of the following must describe an irrational number
zubka84 [21]

Answer:

An Irrational number is a number that cannot be expressed as the ratio of two integers.

Example: \pi

its numbers are infinite

6 0
3 years ago
Maureen walked 3 miles how many feet did she walk
Ostrovityanka [42]

Answer:

15,840 feet.

Step-by-step explanation:

We have been given that Maureen walked 3 miles. We are asked to convert the distance walked by Maureen in feet.

Since we know that 1 mile equals 5,280 feet, so to convert our given distance we will multiply 3 by 5,280.

\text{Number of feet Maureen walked}=\text{3 miles}\times \frac{5,280\text{ feet}}{\text{Mile}}

\text{Number of feet Maureen walked}=3\times 5,280\text{ feet}

\text{Number of feet Maureen walked}=15,840\text{ feet}

Therefore, Maureen walked 15,840 feet.

7 0
3 years ago
Give a geometric description of the following system of equations.a. 2x−4y=12 −3x+6y=−15.b. 2x−4y=12 −5x+3y=10.a. 2x−4y=12 −3x+6
Reptile [31]

Answer:

a. No solution, parallel lines.

b. One solution.

Step-by-step explanation:

Given the system of equations:

a. 2x-4y=12

-3x+6y=-15

b. 2x-4y=12

-5x+3y=10

To give a geometric description of the given system of equations.

The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.

i.e.

Number of planes = Number of variables

Number of lines = Number of equations in the system.

Here, we are given 2 variables and 2 equation in each system.

So, they can be represented in the xy-coordinates plane.

And the number of solutions to the system depends on the following condition.

Let the system of equations be:

A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0

1. One solution:

There will be one solution to the system of equations,  If we have:

\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}

2. Infinitely Many Solutions: (Identical lines in the system)

\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}= \dfrac{C_1}{C_2}

3. No Solution:(Parallel lines)

\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}

Now, let us discuss the system of equations one by one:

a. 2x-4y=12 OR 2x-4y-12=0

-3x+6y=-15 OR -3x+6y+15=0

A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -3, B_2 = 6, C_2= 15

Here, the ratio:

\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2} = -\dfrac{2}{3}\\\dfrac{C_1}{C_2} = -\dfrac{4}{5}

\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}

Therefore, no solution i.e. parallel lines.

b. 2x-4y=12 OR 2x-4y-12=0

-5x+3y=10 OR -5x+3y-10=0

A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -5, B_2 = 3, C_2 = -10

\dfrac{A_1}{A_2}= -\dfrac{2}{5}\\\dfrac{B_1}{B_2} = -\dfrac{4}{3}\\\dfrac{C_1}{C_2} = -\dfrac{6}{5}

\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}

So, one solution.

Kindly refer to the images attached for the graphical representation of the given system of equations.

6 0
3 years ago
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