a pair of shoes is on sale for 30% off. the original price is p. which expression can be used to find the price of the shoes after the discount?

Answers

Answer 1
Answer: Original price = p
Discount price = p * (30/100)
                        = 0.3p
Price after the discount
p - 0.3p
0.7p
Answer 2
Answer:

Answer:

Discounted price= 0.7 p

Step-by-step explanation:

Original price = p

Since we are given that 30 % is off on the price

So, 30 % of p

(30)/(100) * p

0.3p

So, the discount is of amount 0.3p

So, the discounted price = Original price - Discount amount

So,the discounted price = p-0.3p

Discounted price= 0.7 p

Hence expression can be used to find the price of the shoes after the discount is 0.7p


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One number is 5 times another. The sum of their reciprocals is 2/5. Determine the smaller number.

Answers

so x=5y
reciprocal of x=1/x then

sum of reciprocals means 1/x+1/y=2/5
subsitute x=5y for x in 1/x+1/y=2/5 and get
1/5y+1/y=2/5
multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

1/5y+5/5y=2/5
6/5y=2/5
multiply both sides by 5y
6=2y
divide both sides by 2
3=y
put this into x=5y so 
x=5(3)
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Identify the arc length of TV in terms of π. (image is attached)The answers for this question were:

≈0.67pi in., ≈1.83pi in., ≈3.67pi in., or ≈1.33pi in.

Answers

The arc length of TV is ≈ 3.67π in.

What is Arc length?

Arc length is the distance between two points along a section of a curve.

Given:

∠SMV = 48 and MT= 5 in

As, ∠SMV and ∠VMT are forms linear pair. So,  

∠VMT + ∠SMV = 180∘

∠VMT= 180 -  ∠SMV

∠VMT = 180∘ − 48∘

∠VMT =132∘      

Now, length of arc will be,

= \theta/360 2πr

=132/360*2*π*5

=132/360*10π

=33/9π

≈ 3.67π in.

Hence, the arc length of TV is ≈ 3.67π in.

Learn more about Arc length here:

brainly.com/question/16403495

#SPJ2

Answer:       ≈ 3.67π in.

Step-by-step explanation:

∠SMV and ∠VMT are supplementary. Therefore,  

m∠VMT = 180∘ − m∠SMV

It is given that m∠SMV = 48∘. Substitute the given value and simplify.

m∠VMT = 180∘ − 48∘

=132∘                                                                                                                  Arc length is the distance along an arc measured in linear units. The formula for Arc Length is L=  2πr (m∘/360∘).

The length of the radius is given as 5 in. Substitute the known values into the formula.

L= 2π (5) (132/360)

Simplify.

L= 33/9π

Round to the nearest tenth.  

L ≈ 3.67π in.

Therefore, the arc length of TV is ≈ 3.67π in.

The director of marketing at a large company wants to determine if the amount of money spent on internet marketing is a good predictor of company profit. She fits a least-squares regression line to 20 months of data and computes the following regression line:Profit = 372.6 + 17.2(advertising dollars)

What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.

Answers

Given:
Profit = 17,500
advertising dollar = 1,020

regression line:

Profit = 372.60 + 17.2(advertising dollar)
17,500 = 372.60 + 17.2(1020)
17,500 = 372.60 + 17,544
17,500 = 17,916.60

There is a residual value of 416.60. 

17,916.60 - 17,500 = 416.60

What do you notice about the y-coordinates before and after a horizontal stretch? A) The y-coordinates increase after a horizontal stretch. B) The y-coordinates decrease after a horizontal stretch. C) The y-coordinates remain the same after a horizontal stretch. D) The y-coordinates are not affected by a horizontal stretch.

Answers