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

If each vowel in the word COLLEGE substitutes with the next letter of the English alphabetical series and each constant is substituted with the 2nd letter preceding it. How many vowels are present in the new arrangement? Fast plsssssssssssss with steps....

Answers

Answer:

2

Step-by-step explanation:

Following the substitution rules:

O becomes P and

E becomes F

because they are vowels(a,e,i,o,u) change to next letter.

C becomes A

L becomes J

G becomes E

because constants change to the letter two before the given letter.

So COLLEGE becomes APJJFEF

so it now has 2 vowels.

Find the slope of the line that is parallel and perpendicular to the following equation.
2x - y = 1

Answers

Answer:

Slope of the line that is parallel: 2

Slope of the line that is perpendicular: [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

2x - y = 1 <== subtract 2x to both sides

-2x     -2x

-y = -2x + 1 <== divide both sides by -1

/-1      /-1

y = 2x - 1

The slope of the line that is parallel to this line is 2.

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (2)

2. Flip it (1/2)

3. Change the sign (-1/2)

For a slope of 2, the reciprocal would be: [tex]-\frac{1}{2}[/tex]

Hope this helps!

Note that.

Slopes of parallel line are equal

Slopes of perpendicular lines are negative reciprocals

So

2x-y=1y=2x-1

Compare to slope intercept form

slope=m=2

Slope of the parallel line=2

Slope of the perpendicular line=-1/2

A bond issued by ford on may 15, 1997 is scheduled to mature on may 15, 2097. if today is november 16, 2020, what is this bond's time to maturity?

Answers

The bond's time to maturity for the Ford bond based on the present date and the maturity date is 77 years 6 months.

What is the time to maturity?

The time to maturity for a bond is the length of time that a bondholder would receive interest payments on the bonds held. It is the difference between the present date and the matuity date of the bond.

Time to maturity = May 15 2097 - November 16, 2020 = 77 years 6 months

To learn more about bonds, please check: https://brainly.com/question/13326746

what is the exact volume as x? (attached image)

Answers

Answer:

x = 25

Step-by-step explanation:

The 45-45-90 triangle is a special isoceles right triangle. If you look at the help image attached, you will see that it has the following rules:

a = xb = xc = x√2

Find x

c = x√2

25√2 = x√2

25√2 ÷ √2 = x

x = 25

I hope this helps!

The dimensions of a rectangular garden were 5 m by 12 m. Each dimension was increased by the same amount. The garden then had an area of 120 m2. Find the dimensions of the new garden.

Answers

if dimensions were 5 and 12, that means ratio was 5:12. if we increase wach dimension by the same amount, the ratio is the same.

so:

5x×12x=120

60x²=120

x²=120÷60

x²=2

x=√2

that means each dimension was increased by √2

so dimensions are: 5√2 and 12√2

I need this answered

Answers

The three angles of a triangle always add up to 180. So we have 43 + 36 + x = 180. Move all the constants to one side to get x= 101 degrees

Hey ! Buddy

Question : -

Find the value of x .

Given : -

Angle 1 = x°

Angle 2 = 43°

Angle 3 = 36°

To Find : -

We have to find the value of x .

Concept : -

The concept of this question belongs to the sum of all the three interior angles of triangle i.e. sum of all the three interior angles of triangle is equal to 180° .

So Our Solution Starts From Here :

As we know that sum of all the three interior angles of triangle is equal to 180° . So ,

[tex] \rightarrow \: Angle \: 1 + Angle \: 2 \: + Angle \: 3= 180°[/tex]

Now , substituting values of Angle 1 , 2 and 3 :

[tex] \longmapsto \: x° + 43° + 36° = 180° [/tex]

Now , adding 43 and 36 in right hand side :

[tex] \longmapsto \: x° + 79° = 180° [/tex]

Now , transposing 79° to right hand side :

[tex] \longmapsto \: x° = 180° - 79° [/tex]

Now , subtracting 79° from 180° :

[tex] \longmapsto \: \pink{\boxed{ { \bold{x° = 101°}}}}[/tex]

Therefore , value of angle x is 101°.

#[tex] \sf{Keep \: Learning}[/tex]

Pls help and explain it

Answers

Answer:

→ Compare the 2 grade A's

School B's is higher

→ Compare the 2 grade B's

School B's is higher

→ Now formulate a brief response

School B has more entrants in the exam and therefore has a higher proportion of students achieving top grades

What is an equation of the line that passes through the points (4, 7) and (-3, 7)?

Answers

Step-by-step explanation:

Slope= 7-7/-3-4

0/-7

0

y-7 = 0(x-4)

y-7= 0

y=7

MARK ME AS BRAINLIST


What is the length of BD?
A. 53.3 units
B. 30 units
C. 67.5 units
D. There is not enough information to determine the length of BD.​

Answers

Answer: B

Step-by-step explanation:

Help please!

Betty is 5 more than 3 times Jadyn's age. Betty is 41 old.
Write and solve an equation to find Jadyn's age, x

Equation:

Solution: x=

Jadyn is( ) years old.

Answers

Answer:

12 years old

Step-by-step explanation:

3x+5=41

3 times a number and 5 more

'more' usually means adding

41-5 =36

36/3 =12

Answer:

Equation: 41 = 3x + 5

x = 12

Step-by-step explanation:

Hello!

Betty is 5 more than 3 times Jadyn's age. Since Jadyn's age is unknown, we'll call that unknown variable x.

Betty is 5 more than 3 times x. Betty is also 41 years old.

Equation: 41 = 3x + 5

Now we have to solve for x

Solve for x:

41 = 3x + 536 = 3xx = 12

Jadyn is 12 years old.

Which of these could be the lengths of right triangle abc
A) 4,3,7
B) 5,7,12
C) 6,8,10
D) 7,8,15

Answers

Answer: C

Step-by-step explanation:

This is a Pythagorean triple.

h circles have the same center. What is the area of the shaded region?
d=19.6 mm
17.4 mm
Use 3.14 for ​. Write your answer as a whole number or a decimal rounded to the nearest hundredth.

Answers

Answer:

the answer is 725.71

Step-by-step explanation:

Juanita a talented artist. She makes and sells t-shirts showing her art work.
She bought a silk screen machine for $400. The materials to make each shirt
cost her $ 8.00. If she sells her shirts for $28, how many shirts must she sell to
make a profit?

Answers

Answer:

answer 436 tubig is water halimaw is monster ang Ganda mo Sana kaso ang height mo pang kinder

Step-by-step explanation:

answer is 436 I hope it helps

help me please i am so confused please

Answers

Answer: 75$

Step-by-step explanation:

1/4 is equal to 25/100.

meaning that 1/4 is 25 out of 100.

Based on that, if we subtract 25 from 100 we get 75.

Find the square. Then simplify your answer.

Answers

Answer:

4a²-8a+4

Step-by-step explanation:

[tex](2a-2)^{2} =(2a-2)(2a-2)[/tex]

[tex](2a-2)(2a-2) = 4a^{2} -4a-4a+4[/tex]

[tex]4a^{2} -4a-4a+4=4a^{2} -8a+4[/tex]

what is the formula of equilateral triangle .class-8​

Answers

Answer:

Step-by-step explanation:

The perimeter of an equilateral triangle is:

P = 3a (where a any length of the triangle)

The area of an equilateral triangle is:

[tex]A = \frac{\sqrt{3} }{4} a^{2}[/tex] (where a is the side length)

Using the area formula we can rearrange it to get the formula of the length of the equilateral triangle:

[tex]a = \frac{2}{3} 3^{\frac{3}{4} } \sqrt{A}[/tex]

If side is s

Then three important formulas are

[tex]\\ \rm\Rrightarrow Perimeter=3s[/tex](As sides are equal)

[tex]\\ \rm\Rrightarrow Area=\dfrac{\sqrt{3}}{4}s^2[/tex]

[tex]\\ \rm\Rrightarrow Height=\dfrac{\sqrt{3}s}{2}[/tex]

what is the volume of this?

Answers

Answer:

c

Step-by-step explanation:

The figure formed by (−3, 2), (−4, 1), and (−1, −5) is translated 3 units right and 5 units up. What are the coordinates of the new figure?

Answers

Translating the figure involves chaging the position of the figure

The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

The coordinates of the new figure

The coordinates are given as:

(−3, 2), (−4, 1), and (−1, −5)

The rule of translation 3 units right and 5 units up is:

(x + 3, y + 5)

So, we have:

(−3 + 3, 2 + 5), (−4 + 5 , 1 + 5), and (−1 + 3, −5 + 5)

Evaluate the sum

(0, 7), (1 , 6), and (2, 0)

Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

Read more about translation at:

https://brainly.com/question/11468584

Ava invests money in an account paying simple interest. She invests $130 and no money is added or removed from the investment. After one year, she has $132.60. What is the simple percent interest per year?

Answers

well, she put 130 bucks, and then she got back 132.6 after one year, so the interest earned is 132.6 - 130 = $2.6, thus

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2.60\\ P=\textit{original amount deposited}\dotfill & \$130\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2.60 = (130)(\frac{r}{100})(1)\implies 2.6=\cfrac{130r}{100}\implies 260=130r \\\\\\ \cfrac{260}{130}=r\implies 2=r[/tex]

Answer:

yes

Step-by-step explanation:

what is equivalent to 8x-12y+32

Answers

Answer:

C. 16(0.5x - 0.75y + 2) = 8x - 12y + 32

Step-by-step explanation:

Answer:

Yeah I got the answer

Step-by-step explanation:

C option is correct

We will have to take common like this

. 16(0.5x - 0.75y + 2) = 8x - 12y + 32

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

What is the measure of the missing angle?

Answers

hello! every triangle’s interior angles add up to 180. here would be how I solve this equation.

180-75-40=65 (find missing angle)
65+x=180 (supplementary angles)
180-65=x (substitution)
115=x (simplify)
x=115 (reflexive property of equality)

f(x)=-3x-23
g(x)=3x+25
I need points X and y
I will give brainly

Answers

Answer:

refer to this image here:

hope this helps :)

We will use graphical way to solve it

y=-3x-23y=3x+25

Graph it

Solution is

(-8,1)

Please help me and tysm!​

Answers

Answer:

200

Step-by-step explanation:

156.7

since the number before the hundred is more than 4

it becomes 200

A small bus has seats for 16 passengers. Which equation can be used to find the number of passenger seats, n, in b small
buses?
A
n = 16-b
B
b = 16n
C
b = 16+n

D
n = 16b

Answers

Answer:

D, n=16b

Step-by-step explanation:

There are 16 busses, each of which can hold 16 seats. There are n of those busses.

Therefore, 16*n = the total number of seats on the busses altogether.

Kevin is remodeling his bathroom. He needs to cut a circular hole out of a countertop to place the sink, as shown in the figure. What will be the area of the countertop once Kevin cuts the hole, to the nearest square inch? Use 3.14 as an approximation for pi.

Answers

Answer:

838 inches²

Step-by-step explanation:

Finding the area of the countertop including the hole

⇒ Area of countertop including hole: LB

⇒ Area of countertop including hole: (24)(48)

⇒ Area of countertop including hole: 1152 inches²

Finding the area of the hole (sink)

⇒ Area of hole: πr²

⇒ Area of hole: (π)(D/2)²

⇒ Area of hole: (π)(20/2)²

⇒ Area of hole: (π)(10)²

⇒ Area of hole: (π) x 100

⇒ Area of hole: 3.14 x 100 = 314 inches²

Finding the area excluding the hole

1152 - 314 = Area of countertop (excluding the hole)

838 inches² = Area of countertop (excluding the hole)

A student skipped a step when she tried to convert 1 1 hours to seconds , and she got the following incorrect result

Answers

Answer:

39600

Step-by-step explanation

for the amount of minutes we'll multiply 11*60

11*60=660

for the amount of seconds we'll multiply the amount of minutes by 60 so

660*60=39600

A graph shows the preimage and image of a shape that has undergone one transformation. If the preimage and image are not congruent what transformation was applied?

A. reflection
B. rotation
C. dilation
D. translation

Answers

Answer:

C. dialtion

Step-by-step explanation:

A dialtion either reduces or enlarges the dimensions of a shape, causing for them to no longer be congruent.

A reflection wouldn't change the congruency of the shape since it is just reflecting it across whatever axis. The dimensions stay the same.

A rotation would simply rotate/turn the shape. The dimensions would not be changed.

A translation would slide the shape elsewhere whether it be vertically, horizontally, or diagonally. The dimensions would not change.

Therefore, we can conclude that option C makes the most sense.

hope this helps!

A bowl contains 7 white pebbles and 11 black pebbles. A pebble is chosen and not replaced, then another pebble is picked. What is the
probability that the first one is a white pebble and the second one a black pebble?
O a
7
18
Ob
11
18
Ос
11
17
Od
77
306

Answers

Answer:

17 because 2 is taken from 18 and 18-2=16 but 17 and 17 is close to 16

Devaughn is 6 years older than Sydney. The sum of their ages is 80. What is Sydney's age?

Answers

Answer:

37 and 43

Step-by-step explanation:

There are some ways to do this, but this is what I like to do. First, since there are 2 people, I divide 80 by 2, which is 40. Now I add 3 to one person and subtract 3 from one person, because the age difference is 6 years, and there are two people (if you divide them you get 3). Now you get the answer; 37 and 43.

What is the value of x? Enter your answer in the box.

x =

Answers

Answer: 12

Step-by-step explanation:

     A straight line has a measurement of 180° so these two angles added together will equal 180°.

     (10x - 20)° + (6x + 8)° = 180°

     10x° + 6x° + 8° - 20° = 180°

     16x° -12° = 180°

     16x° = 192°

     x = 12

Supplementary angles

10x-20+6x+8=18016x-12=18016x=180+1216x=192x=192/16x=12
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