Find the range of the data set

The interval of hours for which Garage A is cheaper than Garage B is t > 4.

Let A represent the amount Garage A would charge if Aaliyah parks for t hours, and let B represent the amount Garage B would charge if Aaliyah parks for t hours.

Garage A charges an initial fee of $8 to park plus $2 per hour. Hence:

A = 2t + 8  

Garage B charges an initial fee of $4 to park plus $3 per hour. Hence:

A = 3t + 4

For Garage A to be cheaper than Garage B:

2t + 8 < 3t + 4

8 - 4 < 3t - 2t

4 < t

t > 4

The interval of hours for which Garage A is cheaper than Garage B is t > 4.

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Answer:

20 x 10

Step-by-step explanation:

because these ar​e the remaining digits :D

Answer:

speed of plane = 580 mph

wind speed  = 20 mph

Step-by-step explanation:

distance  = speed  * time

A plane traveled 1500 miles with the wind in 2.5 hours

1500 = (p + w) * 2.5

1500 = 2.5p + 2.5w    

1400 miles against the wind in the same amount of time.

1400 = (p - w)  * 2.5

1400 = 2.5p - 2.5w

Add the two bolded equations

2900 = 5p

Divide both sides by 5

580 = p

speed of plane = 580 mph

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

use either bolded equation to find the wind speed

1500 = 2.5p + 2.5w

substitute for p = 580

1500 = 2.5(580) + 2.5w

1500 = 1450 + 2.5w

Subtract 1450 fro mboth sides

50 = 2.5w

divide both sides by 2.5

20 = w

wind speed  = 20 mph

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

so, the mean value is

(10+10+18+18+10+5+12+13)/8 = 96/8 = 12

the median is first not clear when ordering the data set, as we have an even number of elements.

5 10 10 10 12 13 18 18

so, we have to take the mean or average between the 2 middle numbers : 10 and 12.

(10+12)/2 = 22/2 = 11

the median is 11.

Answer:

  AC = BC = 5 cm

  ∠A = 60°

Step-by-step explanation:

All of the points on a circular arc are the same distance from the center of the arc. This construction makes the radius of each arc be 5 cm, so point C is 5 cm from the arc centers: A and B. That is, ...

  AC = 5 cm

  BC = 5 cm

___

A triangle with all sides the same length is an equilateral triangle. It is also an equiangular triangle, so all three angles have the same measure: 180°/3 = 60°.

  ∠A = 60°

Answer:

If we solve any such equation and get the answer as 0 = 0 so this means that system of equations has infinite solutions.

Step-by-step explanation:

_________

[tex] \: [/tex]

[tex]12x = \frac{3}{2} [/tex]

[tex]x = \frac{3}{2} \times \frac{1}{12} [/tex]

[tex]x = \frac{3}{24} [/tex]

[tex]x = \bold{ \frac{1}{8}} [/tex]

Answer:

31:5

Step-by-step explanation:

A ratio is "the quantitative relation between two amounts," according to the Oxford Dictionary. We usually put a colon (:) between the two amounts in a ratio. In the scenario given, we have 31 gold coins for every 5 silver coins. We can represent this with the ratio 31:5.

If you have any more questions, let me know! :)

Answer:

Well 31 gold coins

5 silver

basically

31:5

1) No, because it is a repeating decimal

2) Yes, because it is neither terminating nor repeating

3) Yes, because it is a terminating decimal

4) No, because it is a repeating decimal

Answer:

[tex](f - g)(x) = - 5 {x}^{2} + 5x - 7[/tex]

Answer:

1. 2 hours

2. 25cm

3. 6.84

Step-by-step explanation:

120÷3=40

4800÷40=120 so 2 hours

for the second one just divide 50 in half

for 3 just do $1.14×6

Answer:

1. 120 min

2. 25 cm

3. $6.84

Step-by-step explanation:

1. 120 words : 3min

multiply each side by 40 because 120 words times 4 is 4800 words

4800 words : 120min

2.   2 : 1 = length : width

multiply each side by 25 because 2 times 25 is 50 cm

50 cm : 25 cm

3. $1.14 : 100 grams

multiply each side by 6 because 100 grams times 6 is 600 grams

$6.84 : 600 grams

Answer:

-20

Step-by-step explanation:

48 divided by -3 is -16 but you round up since its high enough and it goes to -20

Answer:

its B

Step-by-step explanation:

In this exercise we have to use the knowledge of polygon areas to calculate the area of ​​each of the informed objects, so we have to:

1) [tex]h = 19.1 in[/tex]

2) [tex]a = 6.7 ft[/tex]

3) [tex]e = 2.3 m[/tex]

4) [tex]y = 9.8 cm[/tex]

5) [tex]o = 71.6 ft[/tex]

6) [tex]e = 15.3 in[/tex]

7) [tex]y = 41.5 m[/tex]

8) [tex]o = 13.7 cm[/tex]

9) [tex]p = 18.5 ft[/tex]

10) [tex]s = 25.8 in[/tex]

11) [tex]b = 61.3 m[/tex]

12) [tex]n = 6.2 cm[/tex]

Then each of the figures will have its own area formula that corresponds to:

1) For the rectangle we find that:

[tex]14/11 = h/15\\h = 19.1 in[/tex]

2) For the rectangle we find that:

[tex]5/a = 9/12\\a = 6.7 ft[/tex]

3)For the rectangle we find that:

[tex]3.7/6.5 = e/4.0\\e = 2.3 m[/tex]

4) For the triangle we find that:

[tex]10/8 = s/13\\s = 16.3 cm\\6/8 = y/13\\y = 9.8 cm[/tex]

5) For the triangle we find that:

[tex]n/70 = 53/88\\n = 42.2 ft\\o/70 = 90/88\\o = 71.6 ft[/tex]

6) For the triangle we find that:

[tex]t/9.1 = 11.2/5.7\\t = 17.9 in\\e/9.1 = 9.6/5.7\\e = 15.3 in[/tex]

7) For the triangle we find that:

[tex]u/48 = 43/74\\u = 27.9 m\\y/48 = 64/74\\y = 41.5 m[/tex]

8) For the triangle we find that:

[tex]6.2/11.8 = t/10.1\\t = 5.3 cm\\o/10.1 = 16.0/11.8\\o = 13.7 cm[/tex]

9) For the triangle we find that:

[tex]30/p = 13/8\\p = 18.5 ft[/tex]

10) For the trapezoid we find that:

[tex]20/s = 12/15.5\\s = 25.8 in[/tex]

11)For the triangle we find that:

[tex]l/46 = 125/75\\l = 76.7 m\\b/46 = 100/75\\b = 61.3 m[/tex]

12)For the triangle we find that:

[tex]5.1/4.3 = r/9.8\\r = 11.6 cm\\n/9.8 = 2.7/4.3\\n = 6.2 cm[/tex]

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Perimeter = 2 (l + b)

2x² + 4x - 4y = 2 {(2x - 3y) + b}

2x² + 4x - 4y = (4x - 6y) + 2b

2x² + 4x - 4y - (4x - 6y) = 2b

2x² + 4x - 4y - 4x + 6y = 2b

2x² + 2y = 2b

(2x² + 2y)/2 = b

x² + y = b

Breadth = x² + y

We have 5 ft 9 in = 69 in, so

P(X > 69) = P((X - 64.1)/2.5 > (69 - 64.1)/2.5) = P(Z > 1.96)

where X and Z both represent women's heights, but Z is normally distributed with mean 0 and s.d. 1.

Then consulting a table of z-scores, you'll find that P(Z > 1.96) ≈ 0.025. So approximately 2.5% of women are taker than 5'9''.

Answer:

Slope-Intercept Form:

The equation of a line in slope-intercept form is y=mx+b. Since we know that the slope is -1, the equation so far is y=-x+b. To find the value of b, substitute in the given point.

3=-7+b

Add 7 to both sides.

10=b

The equation of the line is slope intercept form is y=-x-10.

Point-Slope Form:

The equation of a line in point-slope form is y-y1=m(x-x1). Substituting in the given point and slope, the equation is y-3=-(x-7).

Hope this helps! :)

Answer:

y= -x + 10

Step-by-step explanation:

3 = -1(7) + b

3 = -7 + b

10 = b

Since the slope is -1, that means it's just -x

So y = -x + 10

Answer:

1428- one is in the thousandth place

the number beside is lower than five so drop it and add zero to the end

1000 -is now your answer

Step-by-step explanation:

hope this helps if not then sorry goodluck and bye

The number 1428 to the nearest thousand is 1000.

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest thousand, so I had to look at the value in the hundred places which is 4 and less than 5.

Hence round the number down.

So,  1428 to the nearest thousand is 1000.

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#SPJ3

Answer:

84 Miles

Step-by-step explanation:

The car drove 40 miles per hour for 7 hours so the car traveled 40X7 which is 280 miles and the van traveled at 52 miles per hour for 7 hours so the van traveled 52X7 which is 364 miles so the difference between both is 84 miles.

Answer:

2.85 divided by 2.91 is 0.97938144329

so about 97.9 percent 2.1 percent decrease

Answer:

2.1

Step-by-step explanation:

put change over original times percent over 100

so .06 times 100 is 6 and 6 divided by 2.91 is 2.06 and rounding to the nearest tenth would be 2.1%

Answer:

There is no question, but I'll assume that if there is one, the useful conversion factor will be one tah expresses paint coverage in gallons/ft^2.

0.050 gallon/ft^2

Step-by-step explanation:

1 1/4 gallon covers  425 ft^2

(1 1/4 gallon)/(425 ft^2)

0.050 gallon/ft^2

Answer:

y = 26

Step-by-step explanation:

y=x^2+10; x=4

plug in the value

y=4^2+10

simplify

y=16+10

y=26

Answer:

A1 46 A5 134 dkfhwjhdufkk

Answer: 8

Step-by-step explanation: Found the ratio of 6/12, which is 1/2, so I used ?/16, plugged it in.