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3 years ago

A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.

Mathematics

1 answer:

mafiozo [28]3 years ago

3 0

Complete question :

A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.

a. Write the markdown as a decimal. b. Write an expression for the sale price of the hardcover book.

Answer:

0.52 ; 0.52b

Step-by-step explanation:

The markdown percentage = 52%

Expresaing markdown as a decimal :

52% = 52 / 100 = 0.52

Expression for the sale price of hardcover book:

Original price = b

Price was marked down by 0.52

Hence, sales price becomes ;

Original price * markdown

b * 0.52

0.52b

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Solve the system of equations using any method. 2X – Y + Z = – 2, 6X + 3Y – 4Z = 8, – 3X + 2Y +3Z = – 6

krok68 [10]

Answer:

Z = - 2, Y = 0, X = 0

Step-by-step explanation:

2X – Y + Z = – 2

6X + 3Y – 4Z = 8

– 3X + 2Y +3Z = – 6

isolate "X" in the first equation

2X - Y + Z = - 2 => isolate "2X"

2X = - 2 - Z + Y => divide either side by 2

X = - 1 - Z/2 + Y/2

substitute this value of X in the second two equations (applying the substitution method here)

6(- 1 - Z/2 + Y/2) + 3Y - 4Z = 8,

6Y - 7Z - 6 = 8

- 3(- 1 - Z/2 + Y/2) + 2Y +3Z = - 6,

Y + 9Z + 6/2 = - 6

isolate Y in the second equation (6Y - 7Z - 6 = 8) and substitute in the third equation (Y + 9Z + 6/2 = - 6)

6Y - 7Z - 6 = 8 => isolate 6Y

6Y = 14 + 7Z => divide either side by 6

Y = 7Z + 14/6 => substitute in second equation

7Z + 14/6 + 9Z + 6/2 = - 6 => solve for Z

61Z + 50/12 = - 6, Z = - 2

substitute the value of Z into the equations "Y = 7Z + 14/6" and using the value of Y and Z, substitute into "X = - 1 - Z/2 + Y/2"

Y = (7(- 2) + 14)/6 = 0 / 6

= 0

X = - 1 - (- 2)/2 + 0/2 = - 1 - (-1) + 0

= - 1 + 1 + 0 = 0

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3 years ago

Which phrase describes the variable expression m + 5

Vikentia [17]

b) five more than m

"m in addition to 5"= m+5

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3 years ago

Part A

ivann1987 [24]

The answer is, C
2x +3y=7.20
4x+2y=8.80

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3 years ago

Name the property used to make the conclusion. If x+ 3 = 17, then x = 14 -

zimovet [89]

Answer:

Subtraction property of inequality

Step-by-step explanation:

Step 1: Definition of Subtraction property

Subtraction property of equality refers to balancing an equation by using the same mathematical operation (minus) on both sides.

Step 2: Relate the definition above with the given question.

It can be seen from the statements in the question that 3 was subtracted from both sides of the initial equation to get:

$x + 3 = 17 \\ x + 3 - 3 = 17 - 3 \\ x = 14$

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2 years ago

M is the midpoint of segment CS. C is at (-8, 2) M is at the origin. What are the coordinates of S?

ahrayia [7]

C(-8,2) and M(0,0) , since M is at the origin. Let x₁ and y₁ be the
coordinates of S →s(x₁ , y₁)

C(-8,2) and S(x₁ , y₁)
The coordinates of M, the midpoint of CS are M(x₂ , y₂)

a) x₂ = (-8 + x₁)/2 , but x₂ = 0, then :
0 = -4+x₁/2 and x₁ = 8

b) y₂ = (2+y₁)/2 , but y₂ = o, then:
0 = 2+ y₁/2 and y₂ = -2

Then the coordinates of S are S(8 , -2)

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3 years ago