A map is drawn using the scale of 1 cm to 8 miles. The distance between two towns on the map is 7.5 cm. Work out the actual distance between the two towns.​

Answers

Answer 1

Answer:

60 miles

Step-by-step explanation:

[tex]\frac{1}{8}*\frac{7.5}{7.5}=\frac{7.5}{60}[/tex]

Remember these are ratios!

Hence, they are 60 miles apart


Related Questions

Find the circumferences of both circles to the neartlest tenth

Answers

Answer with step by step explanation

First, let us find the circumference of the small circle.

The radius of the small circle is 5 cm.

So, now let us see the formula which is needed to find the circumference.

C = 2 π r

Let us find it now.

Circumference of the small circle.

C = 2 π r

C = 2 × 3.14 × 5

C = 31.4 cm

  ≈ 30 cm → nearest 10th

                                                                                                     

Now let us find the circumference of the big circle.

The radius of the big circle is 10 cm.

C = 2 π r

C =  2 × 3.14 × 10

C = 62.8 cm

   ≈  60 cm → nearest 10th

HELP ASAP I NEED THIS ANSWERED AS SOON AS POSSIBLE

Answers

Answer:

g(1) = 1

Step-by-step explanation:

we use the last equation since it can be used when x is not -2 or -1

if we plug in 1 in the equation the answer will be 1

please help fast it is due​

Answers

Answer:

25

Step-by-step explanation:

use the formulae SOHCAHTOA. cos45=adjacent/hypotenuse. cos45=x/25square root 2=25

If x = 5, then 3x + 4x - 15 equals:
A. 20
B. 15.
c. 40
D. 50
E 10

Answers

Answer:

20

Step-by-step explanation:

Given:

x = 5

Substitute the value of x into the expression:

⇒ 3x + 4x - 15

⇒ 3(5) + 4(5) - 15

Simplify the expression:

⇒ 15 + 20 - 15

⇒ 15 + 5

20 (Option A)

Answer:

A. 20

given function:

3(x) + 4(x) - 15

put x = 5

3(5) + 4(5) - 15

simplify

15 + 20 - 15

answer

20

Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equation of line k? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.​
(I figured it out y=3/2 x +7)

Answers

Answer:

y = [tex]\frac{3}{2}[/tex] x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - [tex]\frac{2}{3}[/tex] (x + 5) ← is in point- slope form

with m = - [tex]\frac{2}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex]

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = [tex]\frac{3}{2}[/tex] x + 7 ← equation of line K

The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.

What is the equation of a perpendicular line?

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given as,

y - 8 = -2/3(x+5)

The equation of the line that is perpendicular to the line y - 8 = -2/3(x+5) is given as,

y = 3/2x + c

The line is passing through (-6, -2), then we have

-2 = 3/2(-6) + c

-2 = -9 + c

c = 7

The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.

More about the equation of a perpendicular line link is given below.

https://brainly.com/question/14200719

#SPJ2

Please help me with this question

Answers

Step-by-step explanation:

Insribed angle is half the measure of intercepted arc.

m∠CAB = 1/2mCDB

Since O is the center COB is the diameter of this circle.

The diameter splits the circle into two equal arcs. As the full circle is 360°,  each semicircle is 180°.

So

1/2mCDB = 1/2(180°) = 90°

And the angle measure is

m∠CAB = 90

Proved

Answer:

[tex]\overline{\sf COB}[/tex] is the diameter of circle O.

The angle on a straight line is 180°  ⇒  ∠COB = 180°

The angle at the center of a circle is twice the angle at the circumference:

⇒ ∠CAB = 1/2 of ∠COB = 1/2 x 180°

⇒ ∠CAB = 90°

Susana went on a trip. She covered a total of 135.7 km without making any stops along the way. and it took her exactly 2 hours to drive at her destination. At what average speed did she drive?

Answers

Answer:

67.85 kph

Step-by-step explanation:

Formula: Distance / Time = Speed per hour
135.7 / 2 = 67.85

Use the two-way frequency table to calculate the probability that the person is a democrat, given the fact that the person supports the issue,
P(democrat supports the issue)

Answers

Answer:

23/58

Step-by-step explanation:

number of people that support the issue. (58)

start with that first because it is given

now find the number of democrats that are in that column which is 23

Find the indicated arc and angle measures:
с
D
F
DO
B
70960
E
A
arc AB Degree:
arc BC Degrees:
arc ABC Degrees:
arc CDB Degrees:

Answers

Answer:

arc AB = 70°

arc BC = 110°

arc ABC = 180°

arc CDB = 250°

Step-by-step explanation:

Since these angles are not inscribed, but are at the center point of the circle, the angles and arcs will be the same measure.

Solve for arc AB:

Angle AFB = 70°, so arc AB = 70°

Solve for arc BC:

Angle AFC is a straight angle so it is 180°. To find angle BFC, subtract angle AFB from 180°.

180 - 70 = 110°

Since angle BFC = 110°, arc BC = 110°

Solve for arc ABC:

Add arc AB and arc BC together.

70° + 110° = 180°

arc ABC = 180°

Solve for arc CDB:

There are 360° in a cirlce. To find arc CDB, subtract arc BC from 360°.

360° - 110° = 250°

arc CDB = 250°

Samantha runs 4 1/2 miles in 45 minutes, or 3/4 hour. Nyomi runs 4 1/3 miles in 40 minutes or 2/3 hour. Who runs faster

Answers

Answer:✨Samantha✨

Step-by-step explanation:

A 4-- pounds bag of chocolate bars cost $16.24. What is the unit price

Answers

Answer:

4.06 i think

Find the measure of each labeled angle.first,find x=……..,m(angle)A=……,m(angle)B=…..,m(angle)C=……..

Answers

Step-by-step explanation:

sum of angles in a straight line is 180°

Therefore,

(3x - 20) + (2x) = 180°

5x =200

x =200/5

x=40°

Angle A=3x - 20

=3(40) - 20

=100°

Angle B=2x

=2(40)

=80°

Angle A=2x - 15

=2(40) - 15

=65°

A security system company wants to know whether there are differences in the time of day of residential and commercial burglaries. They read the records from a randomly selected sample of 60 6060 of the 830 830830 residential burglaries and 60 6060 of the 447 447447 commercial burglaries in the past year from their town database. Suppose that 65 % 65%65, percent of the residential burglaries and 31 % 31%31, percent of the commercial burglaries happened during the day. The company plans to look at the difference ( p ^ R − p ^ C ) ( p ^ ​ R ​ − p ^ ​ C ​ )left parenthesis, p, with, hat, on top, start subscript, start text, R, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, C, end text, end subscript, right parenthesis between the proportions of daytime burglaries in each sample

Answers

Answer:

we cannot assume independence for the burglaries sampled from commercial burglaries. (C)

Step-by-step explanation: KHAN KNOWS ALL

Is –49 − –78 positive or negative?

Answers

Answer:

This is positive

Step-by-step explanation:

A "double negative" will always be positive. The equation should be rewritten as -49+78, the answer is 29.

Answer:

This one will be postive

Step-by-step explanation:

–49 − –78 is positve 29

It comes out to a positive because you are subtracting by a negative.

Hope that helps!

There are no competing lemonade stands. One day, each lemonade stand recorded the number of glasses of lemonade they sold
each hour. The number of glasses of lemonade sold are shown in the box plot below.
Stand 1
Stand 2
14
15
16 17 18
19 20 21 22 23 24
Glasses of Lemonade Sold
Based on these samples, what generalization can be made?
A. The range of the hourly number of glasses at lemonade sold at stand 1 is less than the range of the hourly number of
glasses of lemonade sold at stand 2.
OB. The interquartile range of the hourly number of glasses of lemonade sold at stand 1 is greater than the interquartile range
of the hourly number of glasses of lemonade sold at stand 2.
OC. The third quartile of the hourly number of glasses of lemonade sold at stand 1 is less than the third quartile of the hourly
number of glasses of lemonade sold at stand 2.
OD. The median of the hourly number of glasses of lemonade sold at stand 1 is less than the median of the hourly number of
glasses of lemonade sold at stand 2.

Answers

Answer:

A

Step-by-step explanation:

I got it correct on study island.

What is the perimeter of this rectangle pls help

Answers

P=2L+2W
P=(2*4)+(2*8)
P=8+16
P=24

Answer:

24

Step-by-step explanation:

Perimeter of a shape = sum of all lengths of sides

⇒ Perimeter of a rectangle = (2 × width) + (2 × length)

From inspection of the rectangle:

width = 4length = 8

⇒ Perimeter = (2 × 4) + (2 × 8)

                     = 8 + 16

                     = 24

You want to rent a car. The cost is $120 per day. You are allowed 100 miles per day--but any mileage above that amount will cost $0.35 per mile. You rent the car for 5 days, and drive 925 miles. The car gets 25 miles to the gallon, and a gallon of gas costs $4.
pls help im so confused

Answers

Answer:

600$ rent for 5 days,

around 185 miles a day, meaning you are paying 0.35$x85=29.75 extra a day.

adding up to 120 a day+29.75=149.75 a day.

149.75x5=748.75 for 5 days not including gas prices.

925/25=185 gallons of gas. 4 dollars per gallon, meaning that 185x4=740 extra dollars in gas

748.75+740=1488.75$ for the entire trip.

1488.75

A customer will choose one card to buy a random. Based on the data in the table, which statement is true? Help!

Answers

The answer to it is that J is true.

Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning. running the faucet for 5 minutes wastes the same amount of energy as leaving a 60-watt light bulb on for 14 hours. how much energy did marco waste, in terms of hours which a 60-watt light bulb would remain on? a. 7.9 hours b. 61.6 hours c. 56.0 hours d. 264.0 hours

Answers

The amount of energy waste, in terms of hours which a 60-watt light bulb would remain on, is 61.6 hours then the correct option is B.

What are ratio and proportion?

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning.

Running the faucet for 5 minutes wastes the same amount of energy as leaving a 60-watt light bulb on for 14 hours.

Then we have

[tex]\begin{aligned} \dfrac{5\ minutes}{14 \ hours } &=\dfrac{1\ minute }{x \ hours}\\\\x &= 2.8 \ hours \end{aligned}[/tex]

So, the rate is 2.8 hours per minute.

Since macro leaves the bathroom faucet running for 22 minutes. Then the waste of energy is leaving a 60-watt light bulb will be

→22 minutes × 2.8 hours/minute = 61.6 hours.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

What is the difference between calculating probability with “and” vs “or”?

Answers

Answer:

The word or is used in probability to denote that you are computing the chance that either event A or event B occurred; both events do not have to occur. When you employ the word and, you're implying that both A and B must occur.

In Conclusion:

If either one or both of them occur, the condition is fulfilled, and the probabilities are added.

The condition is satisfied if and only if both of them occur, and the probabilities are increased.

Find the volume of a right rectangular prism if the dimensions of the base are 6.8 centimeters by 12.5 centimeters and the height is 13 centimeters.


A.
B.
C.
D.

Answers

Answer:

6.8 x 12.5 x 13 = 1105

Step-by-step explanation:

Answer:

the answer is 1105

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

COUNT HOW MANY THERE ARE

Step-by-step explanation:

I’m don’t have much points please help

Answers

~Denki Kaminari here~

Answer:

JGH

Step-by-step explanation:

it can be proven because there is the measurement of "P".

hope this helps :D

Which of the objects below best holds 1 gallon? A. bathtub B. milk jug C. measuring cup O D. glass of water​

Answers

Answer: B: milk jug

Step-by-step explanation:

A gallon is equivalent to 128 oz and a glass of water would not be able to hold that capacity, neither can a bathtub because a bathtub would need more than 1 gallon of water to fill it up. A measuring cup is usually used for cooking etc... and usually the measurements aren't measured by gallons. So the only realistic answer it would be is a milk jug.

2(x - y)2 - 9(x - y) + 10​

Answers

Answer:

Step-by-step explanation:

hello :

2(x - y)2 - 9(x - y) + 10​

calculate : 2(x²-2xy+y²) -9x+9y +10 = 2x²-4xy +2y²-9x+9y+10

The answer would be -5x + 5y + 10. Hope this helps and please mark brainliest!

I really need help with this.

Answers

Answer:

See attachment

Step-by-step explanation:

See attached image.

What is the equation of the line that passes through (4, -1)
and has a slope of -5?
A y = -5x + 19
B y = -5x + 21
C y = -5x - 19
D y = -5x – 21

Answers

Answer:

Step-by-step explanation:

answer: y = -5 + 19

We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)

Where m is the slope and (x1y1) is a point the line passes through.

Susbtituting the slope and values from the point from the problem gives:

(y−−1)=−5(x−4)

(y+1)=−5(x−4)

We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b

Where m is the slope and b is the y-intercept value.

Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:

−1=(−5⋅4)+b

−1=−20+b

20−1=20−20+b

19=0+b

19=b

We can substitute for m and b in the formula to find the equation:

y=−5x+19

We have y=ax+b
Substitute all the informations we have :
-1= -5(4) +b
solve for b
B = 19
A is the correct answer

Find the value of n x 5 when n=8

Answers

Answer:

40

Step-by-step explanation:

Since n=8, then you do 8x5=40.

Answer:

40

Step-by-step explanation:

n x 5

We know what n is equal (8), so we can substitute that number in the given equation.

n x 5 = (8) x 5 = 40

Therefore, the value of n x 5 when n = 8 is 40.

I hope this helps and please mark me as brainliest!

The polygons are similar. Find the value of x.
PLEASE HELP

Answers

Answer:

x = 30

Step-by-step explanation:

[tex]\frac{x}{21} =\frac{20}{14}[/tex]

[tex]x=\frac{(21)(20)}{14}=\frac{420}{14} =30[/tex]

Hope this helps

Marina is spinning a spinner with 15 equal sectors labeled 1 through 15. What is P(factor of 10)? 115 415 13 23

Answers

Answer:

4/15

Step-by-step explanation:

Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Marina is spinning a spinner with 15 equal sectors labeled 1 through 15.

We have to find the probability P(factor of 10)

The factors of 10 are 1, 2, 5, and 10.

Out of the 15 sectors, there are four sectors that correspond to the factors of 10 (sectors 1, 2, 5, and 10).

Therefore, the probability of landing on a sector that corresponds to a factor of 10 is:

P(factor of 10) = 4/15

Hence, Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.

To learn more on probability click:

https://brainly.com/question/11234923

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