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Artist 52 [7]
3 years ago
13

How fast is 300 kilometers in miles per hour?

Mathematics
1 answer:
forsale [732]3 years ago
8 0
186 miles per hours. 1 kilometer is = to .62 miles so .62*300 is 186
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When the sum of 5 and three times a positive number is subtracted from the square of the number, 0 results. Find the number.
Juliette [100K]
x-the\ number\\\\x^2-(5+3x)=0\\\\x^2-5-3x=0\\\\x^2-3x-5=0

Use\ the\ quadratic\ formula:\\a^2x+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ then\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ then\ x_0=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ then\ no\ solution

x^2-3x-5=0\\\\a=1;\ b=-3;\ c=-5\\\\\Delta=(-3)^2-4\cdot1\cdot(-5)+3+20=29 \ \textgreater \  0\\\\\sqrt\Delta=\sqrt{29}\\\\x_1=\dfrac{3-\sqrt{29}}{2\cdot1}=\dfrac{3-\sqrt{29}}{2} \ \textless \  0\\\\x_2=\dfrac{3+\sqrt{29}}{2\cdot1}=\dfrac{3+\sqrt{29}}{2} \ \textgreater \  0

Answer:\ \boxed{x=\dfrac{3+\sqrt{29}}{2}}
6 0
2 years ago
-12 + (-3) • 3 - 8 = 4​
mestny [16]

Answer:- 29

false

Step-by-step explanation:

4 0
3 years ago
Write the equation of the line for the following table of values.
Luda [366]

Answer:

We conclude that the equation of the line is:

  • y = 5x + 1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

  • (-3, -16)
  • (-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)

m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}

m=5

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 5x + 1

Therefore, we conclude that the equation of the line is:

  • y = 5x + 1
5 0
3 years ago
The box plots show the data distributions for the number of customers who used a coupon each hour for two days of a store sale.
lidiya [134]

Answer:

2

Step-by-step explanation:

We can observe from the box plot the medians of both days.

The line in the middle of the box plot represents the median.

The median for Day 1 is: 6

The median for Day 2 is: 8

We have to find the difference between medians of both box plots so the difference is:

8 - 6 = 2

The difference between the medians is 2 ..

4 0
2 years ago
Read 2 more answers
PLEASE HELP WITH THESE 4 PROBLEMS
Marizza181 [45]

Answer:

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Step-by-step explanation:

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5x +2y = 10

  2y = -5x +10

  y = -5/2x + 5

__

2y -4x = -2

  2y = 4x -2

  y = 2x -1

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7y +4y = 24

  y = 24/11

We assume there is a typo, but cannot tell what it is. Use the same method as described and demonstrated for the other problems.

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-2x +1/2y = 2

  1/2y = 2x +2

  y = 4x +4

8 0
3 years ago
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