For every 1/150 square mile Xavier mows, Boa mows 1/120square miles. How many square miles does Xavier mow for every 1 square mile?

A. 3/5
B. 4/5
C. 5/4
D 15/17

Answer:

Step-by-step explanation:

18). l║m and a transverse is intersecting these lines.

     (11y - 32)° = (6x + 7)° [Vertical angles]

     -6x + 11y = 39 -------(1)

      (3x - 16)° + (6x + 7)°= 180°  [Same side exterior angles]

      9x - 9 = 180

      9x = 189

      x = 21

      Now substitute the value of x in the equation (1)

      -6(21) + 11y = 39

      11y = 39 + 126

      y = 15

19). l║m and a transversal is intersecting these lines.

     (8x - 14)° + (5y + 16)° = 180° [Linear pair of angles]

      8x + 5y = 178 --------(1)

      (8x - 14)° = (5x + 34)° [Alternate exterior angles]

      8x - 5x = 48

      3x = 48

      x = 16

      From equation (1)  

      8(16) + 5y = 178

      128 + 5y = 178

      5y = 178 - 128

      y = 10

20). From the figure attached,

      m∠CAB = (5y - 23)°

      Since sum of interior angles of a triangle is 180°

     m∠CAB + m∠ACB + m∠ABC = 180°

      (5y - 23)° + (2x + 13)° + (47)° = 180°

      2x + 5y = 143 ------(1)

      (5y - 23)° = 3x°

      3x - 5y = -23 -----(2)

      Equation (1) + Equation (2)

      (2x + 5y) + (3x - 5y) = 143 - 23

      5x = 120

      x = 24

      From equation (1)

      2(24) + 5y = 143    

      48 + 5y = 143

      5y = 95

      y = 19          

Using Venn diagram, out of the 130 people in the sport center, 54 people use at least two facilities.

Venn diagram is a diagram used to present the relationship between sets in a logical form. (See attached image)

Let n = number of people who use at least two facilities

A = people who use the gym = 73

B = people who use the swimming pool = 62

C = people who use the track = 58

A ∩ B = 22

B ∩ C = 29

A ∩ C = 25

A ∩ B ∩ C = 11

n = (A ∩ B - A ∩ B ∩ C) + (B ∩ C - A ∩ B ∩ C) + (A ∩ C - A ∩ B ∩ C) + A ∩ B ∩ C

n = (22 - 11) + (29 - 11) + (25 - 11) + 11

n = 11 + 18 + 14 + 11

number of people who use at least two facilities = 54

Learn more about Venn diagrams here: brainly.com/question/24713052

#SPJ4

Answer:

I Had A Dream speech

Step-by-step explanation:

Because Martin Luther king jr. had a speech and it was about his dream to make America better again

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

for such more question on medium

https://brainly.com/question/14532771

#SPJ8

Answer:

The solution to the system of equations be:

Step-by-step explanation:

Given the system of equations

\(x-2y = 10\)

x + 3y = 5

Solving the system of equations using the elimination method

\(\begin{bmatrix}x-2y=10\\ x+3y=5\end{bmatrix}\)

subtracting the equations

\(x+3y=5\)

\(-\)

\(\underline{x-2y=10}\)

\(5y=-5\)

solving 5y = -5 for y

\(5y=-5\)

Divide both sides by 5

\(\frac{5y}{5}=\frac{-5}{5}\)

Simplify

\(y=-1\)

For x - 2y = 10 plug in y = -1

\(x-2\left(-1\right)=10\)

Apply rule  -a(-a) = a

\(x+2\cdot \:1=10\)

Multiply the numbers:  \(2\cdot \:1=2\)

\(x+2=10\)

subtract 2 from both sides

\(x+2-2=10-2\)

Simplify

\(x=8\)

Therefore, the solution to the system of equations be:

The graph of the solution to the system of equations is also attached below.

Answer:

200

Step-by-step explanation:

1cm=50m

1*4=50*4

4=200 miles

The expected value of XA is 0.35, and the variance of XA is 0.2275.

To find the expected value of XA, we simply multiply the probability of A occurring (0.35) by 1 (the indicator variable when A occurs) and add the product of the probability of A not occurring (1 - 0.35 = 0.65) and 0 (the indicator variable when A does not occur). So, E(XA) = 0.35 * 1 + 0.65 * 0 = 0.35.

To find the variance of XA, we need to calculate the probability of each outcome (0 or 1) and its squared difference from the expected value. The variance formula for an indicator variable is Var(XA) = P(A)(1 - P(A)). Therefore, Var(XA) = 0.35 * (1 - 0.35) = 0.35 * 0.65 = 0.2275.

For more questions like Probability click the link below:

https://brainly.com/question/30034780

#SPJ11

Answer:

C or the bottom left one

Step-by-step explanation:

Answer:

The other board is 22 inches

Step-by-step explanation:

3 ft is 36 inches and 36 - 14 = 22 inches

Answer:

22 inches

Step-by-step explanation:

One foot is equal to 12 inches. Therefore, 3 feet equals 36 inches.

3 x 12 = 36

William cut the board into two separate pieces. Since one of the pieces is 14 inches, you will need to subtract 14 from the beginning amount (36 inches) to find the length of the other piece.

36 - 14 = 22 inches

Answer:

A and C

Step-by-step explanation:

The shapes that have 4 congruent sides are squares and rhombi.

Eloise correctly determined the volume of this prism by multiplying the three dimensions, She got a product of  (3×8×4) unit³.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

The given figure is a cuboid made up of unit cubes.

We know the volume of a cuboid is (length×width×height).

By observing the figure we have 3 unit cubes of width, 8 unit cubes of length, and 4 unit cubes of height.

Therefore, The volume of the cuboid is,

= (3×8×4) unit³.

= 96 unit³.

learn more about cuboids here :

https://brainly.com/question/29568631

#SPJ1

Answer:

B

Step-by-step explanation:

i believe it's plot 1 & 2

Answer:

X equals 33 degrees

Step-by-step explanation:

Every triangle equals a total of 180 degrees. If you add 114 and 33 you get 147 degrees. You subtract 147 from 180 to get your answer for X, Which is 33 degrees.

Answer:

x = 33

Step-by-step explanation:

since the sum of interior angles of a triangle is 180 so simply add the given angles and make it equal to 180 degrees

x + 114 + 33 = 180

x + 147 = 180

x = 180 - 147

x = 33

to check whether the above value of x is correct simply just put the above value of x in

x + 114 + 33 = 180

33 + 114 + 33 = 180

180 = 180

since both sides are equal so that means the above value of x is correct

Answer:

1.0

Step-by-step explanation:

If you have any questions feel free to ask in the comments

Answer: 1.0

Step-by-step explanation:

Given:  "0.995 inches" ; round to the nearest TENTH of an inch.

(which means; round to the nearest "first decimal point" ; and to include the actual first decimal point (and that decimal point only, the "tenths place").

We are given the number:  "0.955" .  This is given to the nearest THOUSANDS.  

We examine the "tenths place":  "0.9" .  So we know our choices are:

"0.9" (round down to the nearest tenths place); or, "1.0" (round up to the nearest tenths place).  

           →  We examine the number: "0.955" ; and look to the next value, the "hundredths place".  

           → If that digit is 5 or greater (i.e. 5 to 9), we "round up" ; and the correct answer is:  "1.0" .  If that number is "4" or less (i.e. 0 to 4), we round down; and the correct answer is:  "0.9".

________________________________________

In the case of our give value:  "0.955" .  The digit to the right of "9" is "5" ; so, as previously mentioned, we "round up" ;  to:  "1.0".

Do not forget to include the units.

______________________________________________________

The answer is:  1.0 inches.

_________________________________________________

Answer:

y=1/2x+8

Step-by-step explanation:

grab 2 points in this case (4,10) and (0,8)

use rise over run formula so it rises 2 and goes over 4

so 2/4 then simplify and you get 1/2

and the y intercept is 8 because thats when the slope touches the y line

so using the equation y=mx+b when m is slope and b is y interecpt

the answer should be y=1/2x+8

Answer:

y=2x+8

Step-by-step explanation:

8=b m=y_ý/x_x`=2

y=ax+b

y=2x+8

Answer:

take a actual picture maby

Answer:

B

Step-by-step explanation:

Adjacent angles sum to 180 degrees  <====supplementary

The magnitude of the projection of f1 onto the line of action of f2 is 5.55.

The magnitude of the projection of f1 onto the line of action of f2 can be calculated using the dot product of the two vectors. The dot product is given by the formula:

f1 • f2 = |f1| |f2| cos θ

Where f1 • f2 is the dot product of f1 and f2, |f1| and |f2| are the magnitudes of f1 and f2 respectively, and θ is the angle between the two vectors.

To find the magnitude of the projection, we need to find the dot product of f1 and f2 and divide it by the magnitude of f2. The magnitude of the projection is given by:

Magnitude of the projection = (f1 • f2) / |f2|

Let's calculate it step by step:

Step 1: Calculate the dot product of f1 and f2:
f1 • f2 = (3.8 * 9.3) + (6.3 * 3.0) = 35.34 + 18.9 = 54.24

Step 2: Calculate the magnitude of f2:
|f2| = √(9.3^2 + 3.0^2) = √(86.49 + 9) = √95.49 = 9.772

Step 3: Calculate the magnitude of the projection:
Magnitude of the projection = (f1 • f2) / |f2| = 54.24 / 9.772 = 5.55

Therefore, the magnitude of the projection of f1 onto the line of action of f2 is 5.55.

To know more about projection refer here:

https://brainly.com/question/32619127

#SPJ11

Step-by-step explanation:

7.083, 7.2,and 7.21

This should be the answer

Answer:

4

Step-by-step explanation:

2x2x2x2 = 16

Answer:

2^4 =16

Step-by-step explanation:

Rewriting 16

2^n = 2*2*2*2

2^n = 2^4

2^4 = 16

Answer:

A

Step-by-step explanation:

I took the test

Answer:

p2

Step-by-step explanation:

The given expression is,

So, the value of x will be on the right side of the line with positive value. And it's value will be either equal to or greater than 5. That means, x can have values, 5, 5.1, 6, 7, 8.2....... anything that will be equal or greater than 5.

The Python function `coverage_percentage` calculates the percentage of the area of the larger circle that can be covered by the area of the smaller circle, given their radii as input.

Here is a function in Python that takes two int values as the radii of two circles, calculates the area of the circles, and then returns the percentage of the area of the larger circle that can be covered by the area of the smaller circle:

```python
import math

def coverage_percentage(radius1, radius2):
   area1 = math.pi * (radius1 ** 2)
   area2 = math.pi * (radius2 ** 2)
   
   if area1 > area2:
       percentage = (area2 / area1) * 100
   else:
       percentage = (area1 / area2) * 100
       
   return percentage

```The function `coverage_percentage` takes two parameters `radius1` and `radius2` which represent the radii of the two circles respectively. The function calculates the area of each circle using the formula `area = pi * r²` where `pi` is the constant pi, and `r` is the radius. It then checks which circle is larger by comparing their areas and calculates the percentage of the area of the larger circle that can be covered by the area of the smaller circle. The result is returned as a percentage value.

To know more about Python function, refer to the link below:

https://brainly.com/question/19052150#

#SPJ11

Complete Question:

Question 5 (1 point) Write a function that takes two int values as the radii of two circles, calculates the area of the circles, and then returns the percentage of the area of the larger circle that can be covered by the area of the smaller circle.

Answer: D) 628 m^2

==========================================================

Explanation:

Let's find the area of the full circle first. The radius is 20 meters, since that's half of the diameter 40. So we have r = 20.

We'll use pi = 3.14 as an approximation

A = area of full circle

A = pi*r^2

A = 3.14*20^2

A = 1256

This is the area of a full circle, but we want half of that because we want the area of a semicircle instead. Since your teacher put 1256 for choice C in there, it seems like that is a trick answer.

We'll divide 1256 over 2 to get 1256/2 = 628 square meters as the final answer, which is choice D.

We can abbreviate "square meters" into "m^2".

Answer:

There was a 4.9% increase in gasoline prices.

Step-by-step explanation:

Answer:

7. To find the theoretical probability of rolling a product greater than 12, we need to count the number of outcomes where the product is greater than 12 and divide by the total number of possible outcomes.

From the table, we can see that the outcomes with a product greater than 12 are: (2, 6), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6), (5, 3), (5, 4), (5, 5), (5, 6), (6, 2), (6, 3), (6, 4), (6, 5), and (6, 6). This gives us a total of 15 outcomes with a product greater than 12.

The total number of possible outcomes is 6 x 6 = 36, since there are 6 possible outcomes for each of the two number cubes.

Therefore, the theoretical probability of rolling a product greater than 12 is 15/36, which simplifies to 5/12.

8. To find the approximate number of times Alan would expect to roll a product greater than 10 in 300 rolls, we can multiply the total number of rolls by the probability of rolling a product greater than 10.

From the table, we can see that the outcomes with a product greater than 10 are: (2, 6), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6), (5, 3), (5, 4), (5, 5), (5, 6), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6), (3, 4), (4, 3), (5, 2), (6, 2), (4, 2), (5, 2), and (6, 2). This gives us a total of 21 outcomes with a product greater than 10.

The probability of rolling a product greater than 10 is 21/36, which simplifies to 7/12.

Multiplying the total number of rolls (300) by the probability (7/12), we get:

300 x 7/12 = 175

So Alan would expect to roll a product greater than 10 about 175 times in 300 rolls.