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mina [271]
3 years ago
13

Does anyone know what 0.83 the 83 repeats

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
5 0
x=0.\overline{83}\\
100x=83.\overline{83}\\
100x-x=83.\overline{83}-0.\overline{83}\\
99x=83\\
x=\dfrac{83}{99}
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Dana is filling a 1.5 gallon watering can at a rate of 0.75 gallon per minute. What is the domain of the function that represent
Butoxors [25]

Answer:

0 ≤ x ≤ 2

Step-by-step explanation:

A function show the relationship between an independent variable and a dependent variable. The independent variable (input) does not depend on other variables while the dependent variable (output) depend on other variables.

In this question, the volume of the water is the dependent variable and the time taken is the independent variable. Let y represent the volume of the water and x represent the time taken. Therefore:

y = 0.75x

The domain of the function is the set of independent variable, it can be gotten by determining x when y is minimum and maximum. Hence:

For y = 0

0 = 0.75x

x = 0/ 0.75 = 0

For y = 1.5 gallon

1.5 = 0.75x

x = 1.5/0.75 = 2

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6 0
3 years ago
Starting with the number 3, build a sequence of 5 numbers.
just olya [345]

Answer:

3, 6, 9, 12, 15

adding 3 each time

or

3, 9, 27, 81, 243

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Step-by-step explanation:

8 0
3 years ago
Q14
posledela

Answer:

42.6cm

Step-by-step explanation:

The sum total of all the sides of the shape is the perimeter of the shape. Hence;

Perimeter = x+3 + 4 + x+9 + 2x+5

Perimeter = 4x + 21

Given

Area of the figure = 75cm^2

Area = (x+3)(2x+5) + (2x+1)(6)

75 = 2x²+5x+6x+15+12x+6

75 =  2x²+23x+21

2x²+23x+21-75 = 0

2x²+23x-54 = 0

x = -23±√23²-4(2)(-75)/4

x = -23±√529+600/4

x = -12±√1129/4

x = -12+33.6/4

x = 21.6/4

x = 5.4

Recall that;

Perimeter = 4x+21

Perimeter = 4(5.4) + 21

Perimeter = 21.6+21

Perimeter = 42.6cm

Hence the perimeter is 42.6cm

8 0
3 years ago
A 9-kilogram bag of sugar cost $27.54. what is the unit price ?
shusha [124]

Answer:

$3.06

Step-by-step explanation:

1 kg = $27.54

27.54/9 kilogram

4 0
3 years ago
The two triangles are similar, what is the value of X?
Gennadij [26K]

Answer:

x=4

Step-by-step explanation:

Since both triangles are similar, you can make an equation 12/5x-2 = 16/6x. When you cross multiply you get 72x=80x-32. Then you transfer the 80x and you get -8x = -32. Then you divide by -8 and you get x=4.

7 0
3 years ago
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