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Dennis_Churaev [7]
3 years ago
15

il a positive number decreased by 5, then it is 84 times of its reciprocal. Find the number? op 10, 11, 12, 13​

Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0

Answer:

x = 12

Step-by-step explanation:

x - 5 = 84/x

x² - 5x = 84

x² - 5x - 84 = 0

x = (5 ±√(5² - 4(1)(-84))) / 2

x = (5 ± 19) / 2

x = -7 ignore

x = 12

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1. Kristen spent $131 on shirts at Target last week. She bought some fancy shirts for
Masja [62]

Answer:

Kristen bought 2 fancy shirts and 5 plain t-shirts.

Step-by-step explanation:

Given that,

Kristen spent $131 on 7 shirts.

Cost of one fancy shirt = $28

Cost of one plain t-shirt = $15

Let,

x be the number of fancy shirts

y be the number of plain t-shirts

x+y = 7       Eqn 1

28x+15y=131    Eqn 2

Multiplying Eqn 1 by 15

15(x+y=7)

15x+15y=105    Eqn 3

Subtracting Eqn 3 from Eqn 2

(28x+15y)-(15x+15y)=131-105

28x+15y-15x+15y=26

13x=26

Dividing both sides by 13

\frac{13x}{13}=\frac{26}{13}\\x=2

Putting x=2 in Eqn 1

2+y=7

y=7-2

y=5

Hence,

Kristen bought 2 fancy shirts and 5 plain t-shirts.

3 0
3 years ago
3x−12≥15<br><br> 2x−5≤9<br><br> 5x+8≤53<br><br> 3x−5≥16
zalisa [80]

Answer:

Step-by-step explanation:

A) 3x−12≥15

3x ≥ 15 + 12

3x ≥ 27

or x≥ 9

B) 2x−5≤9

2x ≤ 9 +5

2x ≤ 14

or x ≤ 7

C) 5x+8≤53

5x ≤ 53 -8

5x ≤ 45

or x ≤ 9

D) 3x−5≥16

3x ≥ 16 + 5

3x ≥ 21

or x ≥ 7

Have a good day!

8 0
3 years ago
Graph the line using a point and a slope. Write the equation of each line.
Mandarinka [93]

Answer:

y = x - 2

Step-by-step explanation:

Parallel lines have the same slope, so the line will also have a slope of 1.

Plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

-1 = 1(1) + b

-1 = 1 + b

-2 = b

Plug in b and the slope into y = mx + b

y = x - 2 is the equation

7 0
3 years ago
Read 2 more answers
Right angle trigonometry
Nady [450]

Answer:

B

Step-by-step explanation:

Given

sinΘ = \frac{1}{\sqrt{2} }, then

Θ = sin^{-1}( \frac{1}{\sqrt{2} } ) = 45° → B

7 0
3 years ago
Trying to find volume
Goryan [66]

Answer:660 in

Step-by-step explanation:10x11x6=660 in

5 0
3 years ago
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