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Dennis_Churaev [7]
3 years ago
12

Stephen purchased a guitar, which was originally priced at $80 but discounted at 25%. He also had to pay 5% sales tax. What amou

nt did Stephen pay to purchase the guitar?
Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

Discounted by 25% means he paid 75% of the original price:

80 x 0.75 = $60

Now multiply the sale price by 1 + tax rate:

60 x 1.05 = 63

He paid $63 total.

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Please answer both questions and show all your work. Thank you!!! :)
nignag [31]

(1) let "r" denote number of rabbits, "c"  number of chickens

Set up the equations:

r + c = 1000\\4r + 2c = 3150\\\\-2r -2c = -2000\\4r + 2c = 3150\\\\2r = 1150\implies r = 575\implies c = 425

Answer: There are 575 rabbits and 425 chickens

(2) m - number of Mike's stamps, a - number of Andrew's stamps.

Set up equations:

m = 4a\\m-8 = 2(a+8)\\\\4a-8=2a + 16\\2a = 24\implies a = 12\implies m = 48\\

Answer:  Mike has 48 stamps. Andrew has 12 stamps.

4 0
3 years ago
Read 2 more answers
The phone lines to an airline reservation system are occupied 45% of the time. Assume that the events that the lines are occupie
dimaraw [331]

Answer:

0.1569 = 15.69%

Step-by-step explanation:

If eight calls were placed, and we need to know the probability of exactly two calls were occupied, we need to calculate a combination of 8 choose 2 (all the combinations of 2 occupied calls in the 8 total calls), and multiply by the probability of each case in the 8 calls (2 cases occupied and 6 cases not occupied):

P(8,2) = C(8,2) * p(occupied)^2 * p(not_occupied)^6

P(8,2) = (8*7/2) * (0.45)^2 * (0.55)^6

P(8,2) = 28 * 0.2025 * 0.02768 = 0.1569 = 15.69%

7 0
3 years ago
The perimeter of a square is 192 centimeters. If the square is dilated by a scale factor of 0.25, what is the length of each sid
Ulleksa [173]

Answer:

60cm

Step-by-step explanation:

perimeter of a square=4L

192cm=4L

L=48cm

Dilated by ratio 0.25

1 : 0.25 = 48 : 12

New length = 48+12 = 60cm.

6 0
2 years ago
a A palm tree casts a 19 foot shadow. A beach umbrella in the sand next to the palm tree casts a 6.5 foot shadow. If the umbrell
lesantik [10]
Nskssksejeorbf palm tree
5 0
3 years ago
Read 2 more answers
Another way to write 300 + 70 + 5/10 + 8/100
Alja [10]

Answer:

A. 370.58

Step-by-step explanation:

Hope that helps

8 0
3 years ago
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