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3 years ago

13

Beatrice buys a dishwasher for her new house. The price of the dishwasher is D dollars, and she pays an additional 2% tax. Match

the expressions to their correct meanings for Beatrice.

1 answer:

ExtremeBDS [4]3 years ago

4 0

The total amount of $ that this person will have to pay for the dishwasher is given by 1.02D (dollars).

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For the number -5/8 name the opposite, reciprocal and absolute value

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Opposite- 5/8
reciprocal- -8/5
absolute value- 5/8

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Factorise x^2 + 7x -30

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A box of Munchkins contains chocolate and glazed donut holes. If Jacob ate 2 chocolate

neonofarm [45]

Answer:

24 munchkins.

Step-by-step explanation:

Let C be the number of chocolate and D be number of glazed donut holes in the original box.

We are told if Jacob ate 2 chocolate munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:

$C-2=\frac{1}{11}*(C+D-2)...(1)$

We are also told if he instead added 4 glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:

$C=\frac{1}{7}*(C+D+4)...(2)$

Upon substituting C's value from equation (2) in equation (1) we will get,

$\frac{1}{7}*(C+D+4)-2=\frac{1}{11}*(C+D-2)$

Let us have a common denominator on right side of equation.

$\frac{1}{7}*(C+D+4)-\frac{7*2}{7}=\frac{1}{11}*(C+D-2)$

$\frac{C+D+4-14}{7}=\frac{1}{11}*(C+D-2)$

Multiplying both sides of our equation by 7, we will get,

$7*\frac{C+D-10}{7}=7*\frac{1}{11}*(C+D-2)$

$C+D-10=\frac{7}{11}*(C+D-2)$

Multiplying both sides of our equation by 11, we will get,

$11*(C+D-10)=11*\frac{7}{11}*(C+D-2)$

$11*(C+D-10)=7*(C+D-2)$

$11C+11D-110=7C+7D-14$

$11C-7C+11D-7D=-14+110$

$4C+4D=96$

$4(C+D)=96$

$(C+D)=\frac{96}{4}$

$(C+D)=24$

Therefore, the total number of Munchkins in original box is 24.

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3 years ago

Compare the equation, y = 9x - 4x2, the graph below, and the table below. Which has the steepest rate of change from x = 1 to x

jeka57 [31]

The correct answer to this question is C. equation, –3

The equation is
<span>y = 9x - 4x^2
</span>y = -4x^2 + 9x
y = -x(4x - 9)

The steepest rate of change from x = 1 to x =2

x = -1 ; y = 0
x = 1 ; y = 2
x = 2 ; y = 0
x =3 ; y = -4

So, based from the table show, the steepest rate of change is <span>C. equation, –3</span>

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3 years ago