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Alja [10]
4 years ago
14

An appliance store decreases the price of a 19-In television set 27% to a sale price of $471.58. What was the original price?

Mathematics
1 answer:
umka21 [38]4 years ago
8 0
This means that $471.58 is equal to 100-27= 73% of the original price. We are trying to find 100%

$471.58/73= x/100

Cross multiplication method:
471.58*100= 47158
47158/73= $646=x

Final answer: $646.00
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Two times a number added to another number is 25. Three times the first number minus the second number is 20. What are both numb
lawyer [7]

Answer:

the two number are 7 and 9

Step-by-step explanation:

2*x+y=25

3x-y = 20

add the two equations

2*x+y=25

3x-y = 20

---------------

5x = 45

divide by 5

5x/5 = 45/5

x = 9

lets find y

2x+y = 25

substitute x

2*9 +y =25

18+y =25

subtract 18 from both side

y = 25-18

y =7

7 0
4 years ago
What are the coordinates of the endpoints of the midsegment for DEF that is parallel to DE
Nutka1998 [239]

Answer:

\left(\dfrac{x_D+x_F}{2},\dfrac{y_D+y_F}{2}\right),  \left(\dfrac{x_E+x_F}{2},\dfrac{y_E+y_F}{2}\right).

Step-by-step explanation:

Let points D, E and F have coordinates (x_D,y_D),\ (x_E,y_E) and (x_F,y_F).

1. Midpoint M of segment DF has coordinates

\left(\dfrac{x_D+x_F}{2},\dfrac{y_D+y_F}{2}\right).

2. Midpoint N of segment EF has coordinates

\left(\dfrac{x_E+x_F}{2},\dfrac{y_E+y_F}{2}\right).

3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.

6 0
3 years ago
The owner of a hot dog stand receives a loan of $3,750 at 8.25% for 9 months. find the amount of simple interest.(round to the n
Mkey [24]
Hello! The formula for simple interest is prt. That means you multiply the principal (initial amount) by the rate (simple interest percentage), by the amount of time (could be in months or years). So, the loan is $3,750 and the rate is 8.25% for 9 months. 9 months is 3/4 of the year, because there are 12 months in 1 year and 9/12 is 0.75. Let's multiply. 3,750 * 8.25% (0.0825) is 309.375 Now, multiply that number by 0.75 to get 232.03125 or 232.03 when rounded to the nearest hundredth (cent). The amount of simple interest is $232.03.
7 0
3 years ago
Differentiation of x raised to the power of x
Eduardwww [97]

Answer:

{x}^{x} (1 +  log(x))

I hope this helps you.

3 0
2 years ago
Solve the system of equations. y = -6x + 9 y = -3x + 3
abruzzese [7]

- 6x + 9 =  - 3x + 3 \\ 3x = 6 \\ x = 2

Substitute x = 2 into y = - 6x + 9
y =  - 6(2) + 9  \\ y =  - 12 + 9 \\ y =  - 3

Answer : x = 2, y = - 3

Hope this helps. - M
6 0
4 years ago
Read 2 more answers
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