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stepan [7]
3 years ago
5

Find the discount savings on a bicycle that originallycosts $230 but is on sale for 40% off. Show yourwork.

Mathematics
1 answer:
ioda3 years ago
3 0

Answer:

You would save 92$

Step-by-step explanation:

Discount = Original Price x Discount 40/100

Discount = 230 × 40/100

Discount = 230 x 0.4

You save = $92.00

Final Price = Original Price - Discount

Final Price = 230 - 92

Final Price = $138.00

Hope this helps

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SAVE ME. Please Answer my Questions Clevers.
Vladimir [108]

Answer:

See below

Step-by-step explanation:

Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:

Counting numbers are Natural numbers: \mathbb{N}

Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as \mathbb{Z}_{\ge 0}

<u>Whole numbers less than or equal to 20</u>: A\leq 20, A \subset \mathbb{Z}_{\ge 0}  \\\implies A=\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}

<u>A. Prime numbers</u>

From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.

Once we have 21 numbers in total and 8 prime numbers, the probability is:

$P=\frac{8}{21} \approx 40\%$

<u>B. Composite numbers</u>

From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.

Once we have 21 numbers in total and 11 composite numbers, the probability is:

$P=\frac{11}{21} \approx 52\%$

<u>C. Divisible by three</u>

From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.

Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:

$P=\frac{6}{21} \approx 30\%$

<u>D. Square of 2</u>

From the set A, the numbers square of 2 are 0, 1, 4, 9, 16.

\sqrt{0} =0

\sqrt{1} =1

\sqrt{4} =2

\sqrt{9} =3

\sqrt{16} =4

Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:

$P=\frac{5}{21} \approx 24\%$

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Once they're opposite, they add up to 180º

2x+3x=180 \implies 5x=180 \implies x=36

The first angle is 72º

The second angle is 108º

Q3. what is the solution set of  9x-4<13x-7 (domain, x e z) ?

x \in \mathbb{Z}\\

$x>\frac{3}{4} $

$x\in \left(\frac{3}{4},\infty \right)$

Q4. if three fourth of a number is one tenths, what is the number?

$\frac{3}{4} x =\frac{1}{10} \implies 3x=\frac{4}{10}  \implies \boxed{x = \frac{2}{15}} $

Q5. which one is the equation of the line passing through the origin and having a slope 4?

y=mx+b

m: \text{slope}

b: \text{y-intercept}

B. Y= 4x

7 0
3 years ago
The amount of liquid a bottle cap can hold would most likely be measured in
vichka [17]
The answer is: Milliliters
3 0
2 years ago
Can you guys help me out on this? I'm still learning sign, cosign, and tangent :)
lara [203]

Answer:

1. 12/13 and 5/13

2. 5/13 and 12/13

3. The sin of <A and cos of <B are congruent.

Since "Sine" is Opposite/Hypotenuse and Cosine is adjacent hypotenuse...

The opposite of angle A is 12, and the hypotenuse is 12, therefore making 12/13.

The adjacent of angle B is 12, (The adjacent side is the side next to the opposite that is not the hypotenuse) and the hypotenuse is 13, therefore making 12/13.   (The hypotenuse never changes no matter how you look at the triangle.)

Sin <A = 12/13

Cos <B= 12/13

7 0
3 years ago
Please help!! What Find the Error and explain why it is wrong!
Nata [24]

Answer:

First image attached

The error was done in Step E, because student did not multiply 2\cdot x -8 by the negative sign in numerator. Step E must be \frac{2\cdot x -5}{(x+4)\cdot (x-4)}.

Second image attached

The error was done in Step C, because the student omitted the 2\cdot a \cdot b of the algebraic identity (a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}. Step C must be 5\cdot x = x^{2}+4\cdot x + 4

Step-by-step explanation:

First image attached

The error was done in Step E, because student did not multiply 2\cdot x -8 by the negative sign in numerator. The real numerator in Step E should be:

3-(2\cdot x -8)= 3-2\cdot x+8 = 11-2\cdot x

Hence, Step E must be \frac{2\cdot x -5}{(x+4)\cdot (x-4)}.

Second image attached

The error was done in Step C, because the student omitted the 2\cdot a \cdot b of the algebraic identity (a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}. Step C must be 5\cdot x = x^{2}+4\cdot x + 4

And further steps are described below:

Step D

x^{2}-x+4 = 0

Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: (a = 1, b = -1, c = 4)

D = b^{2}-4\cdot a\cdot c

D = (-1)-4\cdot (1)\cdot (4)

D = -17 (Conjugated complex roots)

Step E

(x-0.5-i\,1.936)\cdot (x-0.5+i\,1.936) = 0

Step F

x = 0.5+i\,1.936\,\lor\,x = 0.5-i\,1.936

8 0
3 years ago
I need the answer to 1+1 please
ycow [4]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
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