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2 years ago

5

Josie is creating 5 music playlists for her dance classes. She will use a total of 60 songs. Each playlist will have 7 older son

gs and the same number of newer songs.
Part A

Create an equation that can be used to determine the number of newer songs, n, Josie will have on each playlist.

Enter your equation in the box.

1 answer:

blagie [28]2 years ago

3 0

Answer: 60=5(7+x)

X= 5

Step-by-step explanation:

60 is the total amount of songs so it’s going to be divided into 5 different playlists. And those playlists are going to have 7 older songs plus the amount of new songs.

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Solve for x<br><br> (please write work)

Aleks04 [339]

Answer:

x = -9

Step-by-step explanation:

12 + 2x + 24 = 27 + x

(12 + 24) + 2x = 27 + x

36 + 2x = 27 + x

subtract 27 from both sides

36-27 + 2x = 27-27 + x

9 + 2x = x

subtract x from both sides

9 + x = 0

subtract 9 from both sides

x = -9

(the steps could've been faster but that shows the most work)

check:

12 + 2(-9) + 24 = 27 + (-9)

36 - 18 = 18

18 = 18

True!

so -9 is correct

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2 years ago

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What are the zeroes of P(x) = x3 – 6x2 - x +62

Maurinko [17]

Answer:

x = 6

x = -1

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Step-by-step explanation:

Given:

Correct equation;

P(x) = x³ - 6x² - x + 6

Computation:

x³ - 6x² - x + 6

x²(x-6)-1(x-6)

(x-6)(x²-1)

we know that;

a²-b² = (a+b)(a-b)

So,

(x-6)(x²-1)

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3 years ago

What is the value of x?

vitfil [10]

Answer:

5 cm

Step-by-step explanation:

We know these are similar triangles, so we can use ratios of side lengths

x/40 = 4/32

Using cross products

32x = 4*40

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3 years ago

5 ( x + y) +3 (2x +y)

satela [25.4K]

Answer:

11x + 8y

Step-by-step explanation:

(5x + 5y) + 3 ( 3 · 2x + 3y)

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5x + 5y + 6x + 3y

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2 years ago

Answers fast please. 1.) y=x−63x+2y=8 Use the substitution method. A.) (4, −2) B.) (14, 8) C.) (0, −6) D.) (3, −3) 2.) What is t

GrogVix [38]

<u>QUESTION 1</u>

The given system of equation is

$y=x-6...eqn1$

and

$3x+2y=8...eqn2$

Let us substitute equation (1) into equation (2) to get,

$3x+2(x-6)=8$

We expand the bracket to get,

$3x+2x-12=8$

We simplify to get.

$5x-12=8$

We group like terms to get

$5x=8+12$

$\Rightarrow 5x=20$

$\Rightarrow x=4$

We now substitute $x=4$ in to equation (1) to obtain,

$y=4-6=-2$

The correct answer is option A.

<u>QUESTION 2</u>

The given system of equations is

$y-x=9...eqn1$

and

$10+2x=-2y...eqn2$

We make y the subject in equation (2) to get,

$y=-x-5..eqn3$

We put equation (3) into equation (1) to obtain,

$-x-5-x=9$

We group like terms to get,

$-x-x=9+5$

This implies that,

$-2x=14$

We divide through by $-2$ to get,

$x=-7$

Hence the x-coordinate is $-7$

<u>QUESTION 3</u>

The given system is

$y=3x-1..eqn1$

and

$x-y=-9...eqn2$

We make $x$ the subject in equation (2) to get,

$x=y-9...eqn3$

We put equation (3) into equation (1) to obtain,

$y=3(y-9)-1$

We expand the bracket to get,

$y=3y-27-1$

Group like terms to get,

$y-3y=-27-1$

We simplify to get;

$-2y=-28$

This implies that,

$y=14$

Therefore the y-coordinate is 14.

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3 years ago

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