If a store advertised a sale that gave customers a 1/4 discount,what is the fractional part of the original price that the customers will pay?

Answers

Answer 1

Answer: It's easy to explain this using numbers- Let's say you buy something that costs $16. 1/4 of that is $4. 16 - 4 = 12.
12/16 = 6/12 = 3/4

Another way of explain this is using subtraction with fractions:
1 - 1/4 = 1/1 - 1/4 = 4/4 - 1/4 = 3/4

Therefore the customers will pay 3/4 of the original part.

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Find all polar coordinates of point P where P = ordered pair 6 comma negative pi divided by 5.

Answers

Answer:

All polar coordinates of point P are $(6,-(\pi)/(5)+2n\pi)$ and $(-6,-(\pi)/(5)+(2n+1)\pi)$ , where n is an integer.

Step-by-step explanation:

The given point is

$P=(6,-(\pi)/(5))$

If a point is $P=(r,\theta)$ , then all polar coordinates of point P are defined as

$(r,\theta)=(r,\theta+2n\pi)$

$(r,\theta)=(-r,\theta-(2n+1)\pi)$

where n is an integer.

In the given point $r=6$ and $\theta=-(\pi)/(5)$ . So all polar coordinates of point P are defined as

$(6,-(\pi)/(5))=(6,-(\pi)/(5)+2n\pi)$

$(6,-(\pi)/(5))=(-6,-(\pi)/(5)+(2n+1)\pi)$

Therefore all polar coordinates of point P are $(6,-(\pi)/(5)+2n\pi)$ and $(-6,-(\pi)/(5)+(2n+1)\pi)$ , where n is an integer.

Answer:

P(6,-π/6) = (6, -π/6 + 2nπ) and P(-6,-π/6) = (-6, -π/6 + (2n+1)π)

Step-by-step explanation:

We need to find all polar coordinates of

$P = (6,(-\pi )/(6))$

The polar coordinates of any point can be reresented by (r,Ф)

where

(r,Ф) = (r, Ф+2nπ) where n is any integer and r is positive

and

(r,Ф) = (-r, Ф+(2n+1)π) where n is any integer and r is negative.

So, in the question given, r = 6 and Ф = -π/6

So, Polar coordinates will be:

P(6,-π/6) = (6, -π/6 + 2nπ) where where n is any integer and r is positive

and

P(-6,-π/6) = (-6, -π/6 + (2n+1)π) where n is any integer and r is negative.

Which equation fits the word problem? Katie rented a bike from James' Bikes. It cost $19 plus $6 per hour. If Katie paid $49, then he rented the bike for how many hours?

Answers

Answer:

5 hours

Step-by-step explanation:

19+6=25 1

25+6=31 2

31+6=37 3

37+6=43 4

43+6=49 5

Answer:

5 hours

Step-by-step explanation:

49(total)-19(base charge) = 30(rented money needed). 6 times 5 = 30. So, Katie paid 5 hours. Kind of confusing but trust me. Hope this helps

10 1/2 cups of flour are needed to make 3 loaves of bread. How many cups are needed for 12?

Answers

Answer:

42 cups of flour

Step-by-step explanation:

12 is 4 times more than 3 (3 × 4 = 12), so we know that we need 4 times 10 1/2 (equal to 10.5) cups of flour.

All we need to do for this is do 10.5 × 4 = x and solve for x.

10.5 × 4 = 42 cups of flour

A temperature recorded in Antarctica was -121Fahrenheit. The temperature recorded in the Sahara desert was 132 fahrenheit. How many degrees warmer is 132 than -121Fahrenheit

Answers

Answer: 253°F

Step-by-step explanation:

Given the following :

Temperature in Antarctica = - 121 Fahrenheit

Temperature in Sahara desert = 132 Fahrenheit

Number of degrees in which Sahara desert is warmer than Antarctica :

(temperature in Sahara desert - temperature in Antarctica)

= ( 132°F - (-121°F))

= (132°F + 121°F)

= 253°F

Sahara Desert is 253°F warmer

Final answer:

132 Fahrenheit is 253 degrees warmer than -121 Fahrenheit.

Explanation:

To find the difference in temperature between -121 Fahrenheit and 132 Fahrenheit, we subtract the smaller temperature from the larger temperature. In this case, 132 - (-121) = 253 Fahrenheit. Therefore, 132 Fahrenheit is 253 degrees warmer than -121 Fahrenheit.

Learn more about temperature difference here:

brainly.com/question/32194721

#SPJ3

Factor the following expression completely
X4-y4

Answers

$x^4-y^4=\left(x^2\right)^2-\left(y^2\right)^2=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)\n\n\na^2-b^2=(a-b)(a+b)$

1)(x-y)(x+y)(x^2+y^2)
=(x^2-y^2)(x^2+y^2)
=x^4-y^4

2)(x-y)^2(x+y)^2
=(x^2-2xy+y^2)(x^2+2xy+y^2)
=x^4+y^4

3)(x-y)^4
=x^4-4x^3y+6x^2y^2-4xy^3+y^2

4)(x^2-y^2)(x^2+y^2)
=x^4-y^4

What is the coefficient in the term 7x?
A.0
B.1
C.7
D.x

Answers

Answer:

C. 7

Step-by-step explanation:

The coefficient is the number before the variable.

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