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2 years ago

Michael thought he could read 23 pages of his book in class. He was only able to read 20. what is his percent error

1 answer:

8 0

Percent error is calculated using

((Actual - predicted) / actual) * 100

In this case, the actual value of the number of pages he read is 20. The expected value was 23. So simply plug in:

((20 - 23) / 20) * 100 = -15%

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When is 20% off better than 20$ off

Crazy boy [7]

Answer:

Price > 100$

Price > 150$

Step-by-step explanation:

Let us assume that x% off of price y$ is better than x$ off.

Hence, $\frac{xy}{1000} > x$

Hence, y > 100

Therefore, when the price is more than 100$, then only x% off on the price is better than x$. (Answer)

Again, assume that 20% off on price y$ is better than 30$ off.

Hence, $\frac{20y}{100} > 30$

⇒ y > 150$

Therefore, when the price is more than 150$, then only 20% of on the price is better than 30$ off. (Answer)

7 0

3 years ago

PLEASE HELP

notsponge [240]

Answer:

(a)

x cubed is

=x^3=x3

5 times the cube of x is

=5x^3=5x3

4 times x is

=4x=4x

the quotient of 4 times x and 3 is

=\frac{4x}{3}=34x

so,

the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is

=5x^3-\frac{4x}{3}=5x3−34x ..........Answer

(b)

5 times cube of x is

=5x^3=5x3

5 times cube of x divided by 4 times x is

=\frac{5x^3}{4x}=4x5x3 ..........Answer

(c)

difference of 5 times x cube and 4 is

=5x^3 -4=5x3−4

so,

the quotient of the difference of 5 times x cube and 4 and x is

=\frac{5x^3-4}{x}=x5x3−4 ...........Answer

(d)

difference of 5 times x and 4 is

=5x-4=5x−4

so,

the cube of the difference of 5 times x and 4 is is

=(5x-4)^3=(5x−4)3 ............Answer

5 0

3 years ago

Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions

liberstina [14]

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

8 0

3 years ago

N is the middle integer of three consecutive positive integers.

abruzzese [7]

Answer :

$\boxed{\textsf{ The final answer is \textbf{n}$^{\textbf{3}}$ .}}$

Step-by-step explanation:

Its given that n is the middle out of the three consecutive integers . So ,

The last integer will be :-

$\sf\implies Last \ Integer \ = \ n - 1$

The next Integer will be :-

$\sf\implies Next \ Integer \ = \ n + 1$

Now the Question says that the three integers are multipled to give a product . So that would be.

$\sf\implies Product_{(three\ consecutive\ integers)}= (n-1)n(n+1) = (n^2-1)(n) = \pink{n^3-n}$

Now thirdly it's given that n is added to the given integer . That would be ,

$\sf\implies Adding\ n = \ n^3 - n + n = \pink{n^3}$

Here - n and +n gets cancelled. So we are ultimately left out with n³.

Hence the final number is a cube of some number.

6 0

3 years ago

PLZ HELP FAST!!!!!!!!

Triss [41]

8!in is the initial value at 0 days which represents b=8
The rate of change is 3in per day, this rate is the slope m = 3
Now substitute
y = 3x + 8

7 0

3 years ago