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IgorLugansk [536]
3 years ago
11

Simpliest expression for (12.7y-3.1x)+5.9y-(4.2y-x)

Mathematics
1 answer:
Blababa [14]3 years ago
7 0

Answer:

  -2.1x +14.4y

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Then combine like terms.

  (12.7y-3.1x)+5.9y-(4.2y-x)

  = 12.7y -3.1x +5.9y -4.2y +x

  = x(-3.1 +1) +y(12.7 +5.9 -4.2)

  = -2.1x +14.4y

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Which Which is the simplified form of the expression ?
Stells [14]

Answer:

I need more information to awnser this quetion but would have been happy to help:)

3 0
3 years ago
Read 2 more answers
1. Janna works at a lab with a huge circular particle accelerator. It has a radius of 4 kilometers. What is the accelerator's di
blsea [12.9K]

Answer:

1. diameter=8 kilometres

2. area=98.96 inches

3. 37m

Step-by-step explanation:

1. diameter= 2*radius

2. area of sector=θ out of 360*πr^{2} where θ is the angle

3. area of garden=πr^{2}

        706.5=πr^{2}

     r^{2}=706.5/π

        = 225(nearest whole)

     r=\sqrt{225}=15m

we now use Pythagoras theorem to find length of each pathway

40^{2} =15^{2} +x^{2}

1600=225+x^{2}

x^{2}=1600-225=1375

x=\sqrt{1375}=37 m (to nearest whole)

5 0
3 years ago
What is the estimated margin of error, using standard deviation?
OLEGan [10]
Find the mean ( average):
105 + 104 + 110 + 112 + 114 + 106 + 108 +109 = 868
Mean = 868 / 8 = 108.5

Standard deviation:
108.5 - 105 = 3.5, 3.5^2 = 12.25
108.5 - 104 = 4, 4^2 = 16
110 - 108.5 = 1.5, 1.5^2 = 2.25
112 - 108.5 = 3.5, 3.5^2 = 12.25
114 - 108.5 = 5.5, 5.5^2 = 30.25
108.5 - 106 = 2.5, 2.5^2 = 6.25
108.5 - 108 = 0.5, 0.5^2 = 0.25
109 - 108.5 = 0.5, 0.5^2 = 0.25

12.25 + 16 +2.25 + 12.25 + 30.25 +6.25+0.25+0.25 = 79.75
79.75/8 = 9.96875, SQRT(9.96875) = 3.1573

Standard Deviation = 3.1573

108.8 +/- 1.96 *(3.1573/sqrt(8) = 110.687 and 106.312

110.687 - 108.5 = 2.19
108.5 - 106.312 = 2.19
 

Margin of error = +/- 2.19



3 0
3 years ago
Sofia and Diego drive to work. Sofia drives 72 miles in 1.5 hours. Diego drives 126 km in 2 hour 30 min. Work out the difference
sdas [7]

Answer:

26.4 km/hr

Step-by-step explanation:

Sofia and Diego drive to work.

For Sofia

We convert miles to km

Sofia drives 72 miles in 1.5 hours.

1 mile = 1.6 km

72 miles = x

x = 72 × 1.6 km

x = 115.2 km

We find the speed in km/hr

Speed = Distance /Time

= 115.2km/1.5 hours

= 76.8 km/hr

For Diego

Diego drives 126 km in 2 hour 30 min.

Speed = Distance/Time

Time = 2 hour 30 min = 2.5 hours

Speed = 126km/2.5 hours

= 50.4 km/hr

The difference between their average speeds in km/h is calculated as:

76.8 km/hr - 50.4 km/hr

= 26.4 km/hr

5 0
2 years ago
Identify the slope and the y-intercept of the line with the given equation:<br> y = 7x-5
svetlana [45]

Answer:

Slope = 7

Y intercept = (0,-5)

7 0
3 years ago
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