On a​ map, 1 inch equals 5 miles. Two cities are 6 inches apart on the map. What is the actual distance between the​ cities?

Answer:

Tn = 1 + 2n

Step-by-step explanation:

Given the arithmetic sequence

3 , 5 , 7 ...

The nth term of an AP is expressed as;

Tn = a + (n-1)d

a is the first term = 3

d is the common difference = 5-3 = 7-5 = 2

n is the number of terms

Substitute

Tn = 3 + (n-1)(2)

Tn = 3 + 2n-2

Tn = 1 + 2n

Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n

Answer:

V=(πr^2 x h)/3

lets use π as 3.14 cause I dont know what pi u using

3.14 x 4^2 x 15 = 753.6/3 = 251.2

If you're using π as your pi, than just replace 3.14 by π on calculator

Hope that answers your question

Answer:

[tex]Area = 21.5ft^2[/tex]

Step-by-step explanation:

See attachment

Given

Square:

[tex]Length = 10ft[/tex]

Circle:

[tex]Diameter = 10ft[/tex]

[tex]\pi = 3.14[/tex]

Required: Calculate the area of the shaded region

First, calculate the area of the square:

[tex]A_1 = Length^2[/tex]

[tex]A_1 = (10ft)^2[/tex]

[tex]A_1 = 100ft^2[/tex]

Next, the area of the circle.

[tex]A_2 =\pi * \frac{d^2}{4}[/tex]

[tex]A_2 =3.14 * \frac{10^2}{4}[/tex]

[tex]A_2 =3.14 * \frac{100}{4}[/tex]

[tex]A_2 =3.14 * 25[/tex]

[tex]A_2 =78.5ft^2[/tex]

The shaded region has the following area

[tex]Area = A_1 - A_2[/tex]

i.e. the difference between the area of the square and  the area of the circle

[tex]Area = 100ft^2 - 78.5ft^2[/tex]

[tex]Area = 21.5ft^2[/tex]

Answer:

21) 27

22) 2 (the third one has a few people in it)

Step-by-step explanation:

9 dozen= 12 to a dozen

108

=27

Answer:

21. 27 22. 6

Step-by-step explanation:

21 is 27 because 9 times a dozen (12) times equals 108.  !08 splited by 4 is 27.  

For 22 112-70 is 42.  There are 7 seats per row so 42/7= is 6 empty rows.

Answer:

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

Step-by-step explanation:

Let

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

1. The company used 100.5 liters of real fruit juice, then

2. Drink A:

x = amount of real fruit juice used

percentage of real fruit juice

Then

5x = amount of drink A produced

Drink B:

y = amount of real fruit juice used

percentage of real fruit juice

Then

amount of drink B produced

The company makes 30 more liters of Drink A than liters of Drink B, so

The system of two equations is

Answer:

Cost of ten bananas and ten pears is  £ 3.90

Step-by-step explanation:

As three bananas and two pears cost  95 p  and  five bananas and three pears cost  £  1.51  or  151  p ,

subtracting former from latter, we get

two bananas and one pear cost  151 p  −  95 p  =  56 p

and doubling four bananas and two pear cost  56 p × 2 = 112 p

Hence, one banana costs  112 p  −  95 p  =  17 p .

and two bananas cost  17 p  ×  2  =  34 p

and hence one pear costs  56 p  −  34 p  =  22 p

Hence cost of ten bananas and ten pears is  

10  ×  17 p  +  10  ×  22 p  =  170 p  +  220 p  =  390 p  =  £ 3.90

Hope it helps

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Thank you

Answer: 1/4

Step-by-step explanation:

Answer:

85, 68, 51

Step-by-step explanation:

Average: The sum of all the numbers divided by the number of numbers

If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x

Then using the definition of an average, we can write this equation.

(5x + 4x + 3x) / 3 = 68

Multiply both sides by 3.

5x + 4x + 3x = 68 * 3

Simplify.

12x = 204

x = 17

Now, substitute x = 17 into the original scores (5x, 4x, and 3x)

5x = 5 * 17 = 85

4x = 4 * 17 = 68

3x = 3 * 17 = 51

Just in case, let's check this answer. Find the average of the 3 test scores.

(85 + 68 + 51) / 3 =

204 / 3 = 68

Thus, the answers are correct

Step-by-step explanation:

s it will be just know the right

Answer:

1)

Step-by-step explanation:

In the line that is the graph of equation x = 2, every ordered pair has 2 as its x-coordinate. That means it's a vertical line that passes through x = 2 on the x-axis.

Answer: 1)

The graph option 1) is the correct answer.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation, x = 2

We see x intercept is 2 and there is no y intercept,

We know when x = a then the line is always parallel to y-axis and here x intercept is 2 therefore the line will pass through 2 on x-axis.

In graph 1) The line is passing through 2 on x-axis and is parallel to y-axis.

Hence, The graph option 1) is the correct answer.

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Answer:

He reorders after 22 days

Answer:

(1200÷25) ÷ans= days

Step-by-step explanation:

Answer:

The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.

The Area of a circle is

πr2=808.64

(3.14)r2=808.64

Divide both sides by 3.14

r2=257.5286624

Square root both sides to get radius

r=16 feet

7 feet away from the sprinkler can it spread water if the area formed by the watering pattern is 907.46 square​ feet

What information do we have?

Area of watering pattern = 907.46 square​ feet

Area of watering pattern = Area of circle

Area of watering pattern = πr²

907.46 = (3.14)r²

r² = 289

r = 17

Length = 17 feet

Find out more information about 'Area'.

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Answer:

3.65 hours

Step-by-step explanation:

8.76/2.4=3.65

Answer:

3.65

Step-by-step explanation:

T=D÷V

8.76÷2.4= 3.65

Answer:

the answer is C

Step-by-step explanation:

You would take and the y axis would equal x since the m is 1 it would just be x and then since you have the 4 you would just add it to the y=x and then it would be y=x+4

the answer is 60degree..hope it helps u

Answer:

14 m

Step-by-step explanation:

Speed = 28 mph

Time = 30 minutes = 30/60 = 1/2 hour

Distance  = speed * time

               = 28 * [tex]\frac{1}{2}[/tex]

                = 14 m

Answer:

14 miles

Step-by-step explanation:

Answer:

c = 10

Step-by-step explanation:

8² + 6² = c²

64 + 36 = c

64 + 36 = 100

[tex]\sqrt{100\\[/tex] = 10

Hope this helps :)

Answer:   5x + 2y = 19

x + 4y = 13

Step-by-step explanation:

let x be the cost of each five-pound bag of candy, and y be the cost of each one-pound bag of candy.

5x + 2y = 19

x + 4y = 13

Answer:

C≈18.85

Step-by-step explanation:

Answer:

Point form: ([tex]\frac{1}{2}[/tex],-3)

Equation form: x=1/2  y=-3

Step-by-step explanation:

hope it helps ;)

Answer:

x = 9

Step-by-step explanation:

diagonals bisect each other so we can set up these equations:

x+8 = 2y+5

2x = 3y

in the top equation we can solve for 'x': x = 2y-3

in the second equation we can solve for 'x': x = 3y/2

2y-3 = 3y/2

multiply each side by 2 to eliminate fractions:

4y - 6 = 3y

4y = 3y + 6

y = 6

2x = 3(6)

2x = 18

x = 9

Answer:

$114.32

Step-by-step explanation:

Original Price: $132.52

increased: $34.65

Loyalty Club: -$57.80

Phone Fee: $4.95

You add all of them together, except for the Loyalty Club Fee. You subtract that fee by the total.

The amount of pay for a one-night stay, if they are a member of the hotel's loyalty club and make their reservation over the phone, will be $113.77

The average cost of a one-night stay at a hotel was $132.52. Since then, the hotel has changed ownership, and several changes have been made to the cost of staying at the hotel. Last summer, the new owners adjusted room prices so that the average cost of a one-night stay increased by $34.65.

Last December, the new owners offered a $57.80 per night discount to guests who belong to their loyalty club. Last week, the new owners introduced a service fee of $4.95 for any reservation made over the phone.

The price will be calculated as:-

Original Price: $132.52

increased:   $34.65

Loyalty Club : - $57.80

Phone Fee: $4.95

You add all of them together, except for the Loyalty Club Fee. You subtract that fee by the total.

=  132.52  +   34.65   +   4.95   -   57.80  =  $113.77

Therefore the amount of pay for a one-night stay, if they are a member of the hotel's loyalty club and make their reservation over the phone, will be $113.77.

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Answer:  See below

Step-by-step explanation:

-3    2^x + 3 = 2^(-3) + 3 = 0.125 + 3 = 3.125      (-3, 3.125)

-2    2^x + 3 = 2^(-2) + 3 = 0.25 + 3 = 3.25         (-2, 3.25)

-1    2^x + 3 = 2^(-1) + 3 = 0.5 + 3 = 3.5                (-1, 3.5)

0    2^x + 3 = 2^(0) + 3 = 1 + 3 = 4                        (0, 4)

1   2^x + 3 = 2^(1) + 3 = 2 + 3 = 5                          (1, 5)

2    2^x + 3 = 2^(2) + 3 = 4 + 3 = 12                      (2, 12)

3    2^x + 3 = 2^(3) + 3 = 8 + 3 = 11                       (3, 11)

9514 1404 393

Answer:

  (c)  2

Step-by-step explanation:

A graph shows the zeros are -5, -3, 0, 2. Of these, only 2 is on your list.

  2 is a zero of the expression

Answer:

volume of hexagonal prism = area of base * perpendicular height

Step-by-step explanation:

Answer:

h=9/8 or 1.125 but since yo said round it's 1.13

Step-by-step explanation:

Answer:

Median?

Step-by-step explanation:

Question is kinda unclear.

Mean: Average of the data values

Median: Middle of all the data values

Mode: Amount of times a value appears

Range: Difference between largest and smallest values.

Answer:

?

Step-by-step explanation:

Answer:

3x^3-2x^2-4x+2( option A) remainder= 7

Step-by-step explanation: