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Mars2501 [29]
3 years ago
5

A store is having a sale where all shoes are discounted by 20%. Diego has a coupon for $3 off of the regular price for one pair

of shoes. The store first applies the coupon and then takes 20% off of the reduced price. If Diego pays $18.40 for a pair of shoes, what was their original price before the sale and without the coupon?
Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Answer:

26.00

Step-by-step explanation:

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540 seconds how many minutes
Ira Lisetskai [31]
1 second = 0.0167 minute
540 seconds = 540 * 0.0167 ≈ 9 minute

Hope this helps :)
8 0
3 years ago
Read 2 more answers
Find the remainder when 1 + 2 + 2^2 + 2^3 + ... + 2^100 is divided by 7.<br><br> Thanks in advance!
Firlakuza [10]

Answer:

3.

Step-by-step explanation:

This is a geometric series so the sum is:

a1 * r^n - 1 / (r - 1)

= 1 * (2^101 -1) / (2-1)

= 2^101 - 1.

Find the remainder when 2^101 is divided by 7:

Note that 101 = 14*7 + 3 so

2^101 = 2^(7*14 + 3) =  2^3  * (2^14)^7 = 8 * (2^14)^7.

By Fermat's Little Theorem  (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.

So 2^101 mod 7 = (8 * 4^7) mod 7

                           = (8 * 4) mod 7

                            = 32 mod 7

                            = 4 = the remainder when 2^101 is divided by 7.

So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..

4 0
3 years ago
Three added to eight times a number is the same as three times the value of two times the number -1
emmainna [20.7K]

Answer:

The number x is -3

Therefore x=-3

Step-by-step explanation:

Given problem is "Three added to eight times a number is the same as three times the value of two times the number -1"

Let x be the number

It can be written as

3+8\times x=3(2\times x-1)

3+8x=3(2x-1)  ( applying the distributive property )

3+8x=3(2x)+3(-1)

3+8x=6x-3

subtracting (6x-3) on both sides we get

3+8x-(6x-3)=6x-3-(6x-3)

3+8x-6x+3=6x-3-6x+3

6+2x=0 ( ading the like terms )

2x=-6

x=-\frac{6}{2}

Therefore x=-3

The number x is -3

3 0
3 years ago
A 4 liter bottle of Shout laundry detergent cost $7.99. A 6.5 liter bottle of Sun detergent cost $16.99. Which unit rate is lowe
blagie [28]

Answer:

4 liter detergent

Step-by-step explanation:

7.99/4=1.9975

16.99/6.5=2.6138

7 0
3 years ago
Blue Cab operates 15% of the taxis in a certain city, and Green Cab operates the other 85%. After a nighttime hit-and-run accide
NikAS [45]

Answer: The required probability is 0.414.

Step-by-step explanation:

Since we have given that

Probability of taxis in a certain city by Blue Cab P(B)= 15%

Probability of taxis by Green Cab P(G) = 85%

Let A be the event that eyewitness said that vehicle was blue.

P(A|B)=0.80

P(A|G)=0.80

P(A'|B)=0.20=P(A'|G)

Using the "Bayes theorem":

Probability that the taxi at fault was blue is given by

=\dfrac{P(B).P(A|B)}{P(B).P(A|B)+P(G).P(A'|G)}\\\\=\dfrac{0.15\times 0.8}{0.15\times 0.8+0.85\times 0.2}\\\\=\dfrac{0.12}{0.12+0.17}\\\\=\dfrac{0.12}{0.29}\\\\=0.414

Hence, the required probability is 0.414.

8 0
3 years ago
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