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3 years ago

4) You are downloading songs for your mp3 player. Six songs cost $5.94. You want to buy 4

Mathematics

1 answer:

jeka57 [31]3 years ago

8 0

Answer:

4 songs: $3.96 8 songs: $7.92

Step-by-step explanation:

Divide to find out how much it costs for 1 song.

5.94 / 6 = 0.99 Each song costs $0.99

Now multiply $0.99 by (number of songs)

0.99 x 4 = 3.96
0.99 x 8 = 7.92

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X^2+3x+2 x^2+x-6 x^2-x-2

Varvara68 [4.7K]

Answer:

1. (+1)(+2)

2. (−2)(+3)

3. (−2)(+1)

Step-by-step explanation:

3 0

2 years ago

Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(5,0),B(2,4)$

substitute in the formula

$d=\sqrt{(4-0)^{2}+(2-5)^{2}}$

$d=\sqrt{(4)^{2}+(-3)^{2}}$

$d=\sqrt{25}$

$AB=5\ units$

Find the distance BC

$B(2,4), C(-2,1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$BC=5\ units$

Find the distance CD

$C(-2,1),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$CD=5\ units$

Find the distance AD

$A(5,0),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$AD=5\ units$

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

$B(2,4),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

$d=\sqrt{(-7)^{2}+(-1)^{2}}$

$BD=\sqrt{50}\ units$

Verify if the polygon is a square

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

$(\sqrt{50})^{2}=5^{2}+5^{2}$

$50=50$ -----> is true

The triangle BDA is a right triangle

therefore

The polygon is a square

Find the Area of the polygon

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

Find the perimeter of the polygon

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

$P=4(5)=20\ units$

6 0

2 years ago

Sally works 40 hours a week and makes $20 an hour, but her kids are in child care each day and the day care center charges her $

Maslowich

Answer:

$11.25

Step-by-step explanation:

Multiply the number of hours she works by how much she gets paid per hour.

800

Multiply 50 times 7 (50 being the amount charged for her kid and 7 being the days of the week)

350

Subtract the 350 from the 800

450

Divide the 450 by the number of hours worked per week

450/40

Answer: 11.25

So Sally actually makes 11.25 per hour.

5 0

2 years ago

Seven different names were put into a hat. A name chosen 100 times. And the name Michael is chosen 9 times. What is experimental

iris [78.8K]

Answer:

Experimental probability = 9 / 100

Theoretical probability = 1/7

Step-by-step explanation:

The experimental probability of an event is written as :

P = number of times event occur / total number of trials

Experimental probability is based on the outcome of an experiment that has taken place.

Theoretical probability is based on expected outcome of an event.

P = number of expected or required outcomes / total possible outcomes

Experimental probability of choosing the name Michael is :

Number of times Michael is chosen / number of trials

Experimental probability = 9 / 100 = 0.09

Theoretical probability of choosing michael:

Number of names in hat = 7

Number of names called Michael in hat = required outcome = 1

P = 1 / 7

If the number of names in hat was different from 7, then the theoretical probability will change.

Also, if the number of times a name was chosen was different from 100, then number of trials will also change and hence, the experimental probability.

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2 years ago

Consider this algebraic expression: –3x + x + 5 Use the algebra tiles to model the expression.

luda_lava [24]

For this case, we have the following expression:

$-3x + x + 5$

We simplify the expression:

If we add similar terms, taking into account that different signs are subtracted and the sign of the greater one is placed, we have that $-3x + x = -2x$

So, we have to:

$-3x + x + 5 = -2x + 5$

Answer:

-3x + x + 5 = -2x + 5

6 0

2 years ago

Read 2 more answers