On a road map the distance from Cily A to City BIS 4 inches. The map
scale is 1 inch 20 miles what is the actual distance in miles, between
City A and City B2
5 miles
24 miles
8 miles
80

Answers

Answer 1

Answer:

80 miles

Step-by-step explanation:

The map scale compares the  distance between two points on the map with the corresponding distance on the ground.

That is,

[tex]\boxed{\mathfrak{map\:scale=\frac{distance\:on\:map}{distance\:on\:ground} }}[/tex]

The formula makes it pretty easy to solve!

map scale is 1 inch : 20 milesdistance on map is 4 inchesLet's say, the corresponding distance on the ground is x miles.

Substituting these values in the above mentioned formula:

[tex]\implies \mathsf{\frac{1 \:inch}{20\:miles} =\frac{4\:inches}{x\:miles} }[/tex]

cross multiplying:

[tex]\implies\mathsf{x=4 \times 20}[/tex]

[tex]\implies \mathsf{x=80}[/tex]

That makes the actual distance 80 miles!

                                 

ALTER

You can also use simple unitary method here:

1 inch on the map = 20 miles on the ground

∴ 4 inches on the map = 4 × 20 miles on the ground

= 80 miles on the ground


Related Questions

Help!!![tex]What is the measure of ∠L?[/tex]

Answers

Answer:

60°

Step-by-step explanation:

1. Because this is an equilateral triangle (a triangle with all equal sides), all angles are equal and are 60°.

Therefore, ∠L is 60°.

If our monthly income is $3050 in your house payment is $2400 what fraction of your monthly income must go to pay your house payment?

Answers

Answer:

The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%

A giant prepared a big feast. If he invites another giant, they will finish the feast in 10 hours. He decides to invite 4 giants. How many hours will it take him and giant friends to finish the feast?

Answers

Answer:

1 1/4

Step-by-step explanation:

4. Find the scale factor using the given scale drawing and measurements below.

Answers

Answer:

Actual=3cm

Scale=5cm

3x=5

3/3x=5/3

X=5/3

The scale factor is 5/3

8.618 divided by 0.695

Answers

Answer:

8.618 divided by 0.695= 12.4

hope this helps <3

3. At the beach, you would like to fill 5 buckets with seashells. You have
8 minutes to do so. If you set a steady pace, how much of a bucket
should
you
fill in each minute?
A. bucket
B. į bucket
c. bucket
D. buckets

Answers

Answer: It will be D

Step-by-step explanation: 5 divided by 8 is 1.2

It would be D because 5 divided by 8 is 1.2

Find the missing length

Answers

Step-by-step explanation:

with the height in a right triangle, we get 3 right triangles (the original one, and the 2 on both sides of the height). all 3 of these triangles are similar to each other.

that means (among other things) the ratios of 2 sides of one triangle must be the same ratio of the corresponding sides in the other triangle.

x/64 = 36/x

x² = 36×64

x = sqrt (36×64) = 6×8 = 48

long story short, x is the geometric mean value of the segments of the Hypotenuse.

geometric mean value means the nth root of the product of n numbers.

in our case - square root out of 2 numbers (the segment lengths).

If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint?

Answers

Answer:

The correct answer is 9.

Step-by-step explanation:

To get this solution, you would need to use division.

[tex]\frac{54}{6} = 9[/tex]

--

To be sure that the answer is correct, check your answer.

[tex]9*6 = ?[/tex]

[tex]9*5 = 45[/tex]

Since the easiest way to determine the multiple of 9 is 5, all you need to do is add another 9.

[tex]45+9=54[/tex]

--

**Remember: You are able to check if your answer(s) are correct in any way you are comfortable with.

Answer:

$9 per cup

Step-by-step explanation:

Let the unit price is x.

6 cups cost $54:

6x = 54x = 54/6x = 9

t=(m+b)x solve for x

Answers

Answer:

[tex]x=\frac{t}{m+b}[/tex]

Step-by-step explanation:

T = (m + b)x

Divide both side by (m + b):

[tex]\frac{T}{(m+b)} =\frac{(m+b)x}{(m+b)}[/tex]

Cancel out (m + b) and you have your answer!

Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)

helppppp pleaseeee ill literally do anything!!!!!!!!!!!!!!!

Answers

Answer:

33ft^2

Explanation:

surface area of square pyramid equation:  [tex]A = a^2 + 2a\sqrt{\frac{a^2}{4} +h}[/tex]

A = 34.63, so none of the answers shown are really it.

Solve the photo above ⬆️

Btw these one's are gonna be a bit more confusing for me, so expect me to atleast probably send 7 more ^^|l|l

Answers

Answer:

7¹⁰ :) hope this helps you!!

A sweet potato casserole recipe calls for cup of flour for 4 servings. To serve 16 people, how much flour is needed?

Answers

Answer:

4 Cups of Flour

Step-by-step explanation:

The owner invested 18,400 in the company in exchange for its common stock. The company purchased 1,350 cash in supplies. The owner invested 11,700 of equipment for more common stock. The company purchased 370 of additional supplies on credit. The company purchased land for 10,700 cash

Answers

Answer:

Total expenses: $34,520

Money needed for profit: $34521

Is this a good idea: Not unless he is prepared for it to go under...

Step-by-step explanation:

how do i solve this type of rational equation (x^2-16)/(4-x)

Answers

I thinks it’s -x-4 I’m not sure

Find the indicated Z score. The graph depicts the standard normal distribution with mean 0 And the standard deviation 1

The indicated Z score is what?

Answers

The indicated Z score according to the given graph will be z < -0.1635

The normal distribution has a mean-values between 0 and 1.

From the graph, we can see that zero is placed in the middle and the shaded portion is towards the left side of zero.

According to the number line, the numbers to the left-hand side of zero are always negative, hence the indicated Z score according to the given graph will be z < -0.1635

Learn more here: https://brainly.com/question/24213960

A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.

Answers

Answer:-

According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.

Step-by-step explanation:-

Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.

✍️ By Benjemin

A home has a triangular backyard. The second angle of the triangle is 4º more than the
first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard

Answers

Answer:

31, 114 and 35

Step-by-step explanation:

I set up the equation as such:

(3x + 21) + (x + 4) + x = 180

then I combined like terms:

5x + 25 = 180

And then solving for x I get:

5x = 155

x = 31

And then plugged the solved x value into the terms to give:

(3(31) + 21) = 114

(31 + 4) = 35

alongside the found angle of 31.

Answer:

[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]

Step-by-step explanation:

Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].

We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].

Combining like terms on the left side gives [tex]5x+25=180[/tex].

Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].

Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].

So, the first angle is [tex]31^{\circ}[/tex].

The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].

The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].

So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!

The check that these angles work is left as an exercise to the reader.

Is (-12,8) a solution to 2x+y=40

Answers

Answer:

no it is not. the line crosses the x in 20, and crosses the y in 40

A parabola can be drawn given a focus of (-9,6) and a directrix of x = -1. What
can be said about the parabola?

Answers

With the given focus of (-9,6) and directrix of x=-1 we know that the equation for this parabola would be :
-16x-80=(y+1)^2
The vertex would be :
(-5,-1)
Eccentricity 1
Axis of symmetry y=-1
x intercept (-8/16, 0)
No y intercept
And the graph pic of parabola is in attached pic

suppose a varies directly as b, and a =8 when b =3 find b when a =24

Answers

Answer:

b=9

Step-by-step explanation:

since a varies directly as b,

a=kb

k=a/b

k=8/3

but when a=24, b will be given by

b=a÷k

b=24÷8/3, b=24×3/8

b=9

Pa help po pleass po

Answers

Answer:

Refer to the attachment

Step by step please!

One-ninth of the candies in a bag of M&M's are red. If there are 16 red candies, how many M&M's are in the bag?

Answers

Answer:

21

I hope this helped I would appreciate brainliest if possible

Find the slope of the line through each pair of points
(10, -14), (11,11)

Answers

Hello there! I can help you with joy! :)

If we have 2 points, then we can find the slope using this formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

y2=11

y1=-14

x2=11

x1=10

[tex]\frac{11-(-14)}{11-10}[/tex]

[tex]\frac{11+14}{1}[/tex]

25

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

3x+2=23
Please show steps on how to do.

Answers

Answer:

x = 7

Step-by-step explanation:

3x+2=23

Subtract 2 from each side

3x+2-2 = 23-2

3x = 21

Divide each side by 3

3x/3 = 21/3

x = 7

Answer:

[tex] \sf \: x = 7[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 3x + 2 = 23

Then the value of x will be,

→ 3x + 2 = 23

→ 3x = 23 - 2

→ 3x = 21

→ x = 21 ÷ 3

→ [ x = 7 ]

Hence, the value of x is 7.

Kareem makes muffins using a ratio of 3.5 cups of flour for every 1.75 cups of sugar.
If he has 3.5 cups of sugar, how much flour does he need to make the muffins?

The constant of proportionality for the amount of flour to sugar in this recipe is ___.

If Kareem uses 3.5 cups of sugar, he will need ___ cups of flour.

Answers

The constant of proportionality for the amount of flour to sugar in this recipe is 2.

If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.

Two variables are said to be proportional if an increase in one variable leads to an increase in another variable and vice versa.

Let y represent the cups of flour and x represent the cups of sugar. Hence:

3.5 cups of flour for every 1.75 cups of sugar:

y ∝ x

y = kx

k is the constant of proportionality

3.5  = 1.75k

k = 2

y= 2x

If Kareem uses 3.5 cups of sugar, he will need:

y = 2x = 2(3.5) = 7

The constant of proportionality for the amount of flour to sugar in this recipe is 2.

If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.

Find out more at: https://brainly.com/question/21126582

Algebra 2 Need help with b

Answers

Answer:

a. was incorrect a = -0.109569028 so...

y = -0.109569028(x + 7)² + 54

b. It's been the above vertex equation for a parabola then

set y = 40 equal to the parabolic equation, we get

40 = -0.109569028x² - 1.533966392x + 48.631117628

solve for x we get

x = -18.3036867393939 or ~ 18.3 feet

Step-by-step explanation:

y = a(x - h)² + k

(h, k) = vertex = (-7, 54)

x = h is the axis of symmetry -7

y = a(x -(-7))² + 54

y = a(x + 7)² + 54

solve for a by inputting the point (15.2, 0)

0 = a(15.2 + 7)² + 54

-54 = a(22.2)²

-54 = 492.84a

a = -54/492.84

a = -0.109569028

the scale on a map says that 3 cm represents 12 km what is the actual number of km represented by 5 cm on the map

A. 1.5 km

B. 2.4 km

C. 60 km

D 20 km​

Answers

2.4 please follow mee i think this is answer

Helppppppppp plzzzzzzzzzz

Answers

-1 yes
4 No
-6 yes
9 No
I’m pretty sure sorry they ain’t in order

Check all solutions to the equation. If there are no solutions, check 'None."
x = -5

Answers

Answer:

None

Step-by-step explanation:

As per the defenition of Absolute Value, There are no negative values, therefore there are no possible answers, hence you would say "None".

Definition: Absolute Value is the distance a number is away from 0.

Therefore, Distance can never be 0.

The perimeter of the rectangle below is 56 units. Find the length of side BC.
Write your answer without variables.
DC = 3x - 2 DA = 2x
BC = ?

Answers

Answer:

12 units

Step-by-step explanation:

Perimeter formula:

P = 2(l + w)

Given:

l = 3x - 2w = 2xP = 56

Find the value of x:

2(3x - 2 + 2x) = 565x - 2 = 285x = 30x = 6

BC is parallel side to AD and is:

BC = AD = 2*6 = 12

BC must parallel to DA hence equal

Now

2(Length+Breadth)=Perimeter2(3x-2+2x)=56(5x-2)=285x=30x=6

BC=2(6)=12units

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