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

Evaluate. 1 1/2+3/4÷(−1/3)−2/3 Enter your answer as a mixed number in simplest form

Answers

Answer:

-1 5/12

Step-by-step explanation:

1 1/2+3/4÷(−1/3)−2/3

3/2-2/3+3/4*3/-1

9-4/6-9/4

5/6-9/4

20-54/24

-34/24

-17/12

-1 5/12

These two are balanced.

True or false? Also I’m sorry ab the photos quality

Answers

True because they both equal 27

Will give brainliest.

Your cousin is selling cookies. He borrowed $10.82 from you for supplies and plans to sell each cookie for $0.75. If he sells an average of 12 cookies a day, how long will it take him to repay what he owes you AND make $25 in profit? (Round to the most reasonable number.)

Question 1 options:

3 days


4 days


5 days


6 days.

Show and explain your thought process for the question above. How did you reach your conclusion? What did you do to find that number?

Answers

Answer:

4 days

Step-by-step explanation:

Which number line graph matches the solution to -4x+2<6?

Answers

Answer:

B

Step-by-step explanation:

-4x+2<6

-4x+2 -2 < 6 -2

-4x < 4

-4x ÷ -4 < 4 ÷ -4

x < -1

the present value of an annuity of 3000 for 15 years at 4.5 % per annum CI is

Answers

Answer:

3000 for 15 years at 4.5% p.a CI is. Rs. 23809.41.

1. A rectangular canvas picture measures 12 inches by 28 inches. The canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches. Find the uniform width of the frame.​

Answers

The uniform width of the frame is 16.61 inches.

Since a rectangular canvas picture measures 12 inches by 28 inches, and the canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches, to find the uniform width of the frame you must perform the following calculation:

√ (612 - (28 x 12)) = X √ (612 - 336) = X √276 = X 16.61 = X

Therefore, the uniform width of the frame is 16.61 inches.

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A pattern has 3 blue triangles to every 39 yellow triangles. What is the ratio of yellow
triangles to all triangles

Answers

Answer:

3:39

Step-by-step explanation:

have a good day

If Lisa were to paint her living room alone, it would take 3 hours. Her sister Rachel could do the job in 4 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.

Answers

Answer:

12/7 hours

Step-by-step explanation:

Lisa's rate is 1/3 of job per hour

Rachel's rate is 1/4 of job per hour

Their rate if worked together:

1/3 + 1/4 = 4/12 + 3/12 = 7/12 per hour

Job will be done in:

1 : (7/12) = 12/7 hours

help pls. with explanation

Answers

Answer:

the answer is infinity....

PLEASE HELP WILL MARK BRAINLIEST!!TY!!

Answers

Answer:AB = 5/2 and CD = 2/-5, perpendicperpendicular

Step-by-step explanation:

0+5 = 5

2+2=4

1+2=3

8-5=3

The area of the trapezium is 27.5 cm^2 work out the value of y

Answers

Follow up on the attachment, ask for clarification if you don't get it

y=8cm

Solve for p.

-p + -8.1 = 1.37

p =


PLS HELP

Answers

p = -9.47

Step-by-step explanation:

-p + -8.1 = 1.37

-p = 1.37 + 8.1

-p = 9.47

p = -9.47

{[(30−60)÷(−30)]2−15}÷(−7) help, please

Answers

Answer:

2 3/7 or 17/7

Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
17/7
Decimal Form:
2.428571
Mixed Number Form:
2 3/7

The value of the numerical expression {[(30 − 60) ÷ (−30)]² − 15} ÷ (−7) will be 2.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ {[(30 − 60) ÷ (−30)]² − 15} ÷ (−7)

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ {[(30 − 60) ÷ (−30)]² − 15} ÷ (−7)

⇒ {[(−30) ÷ (−30)]² − 15} ÷ (−7)

⇒ {[1]² − 15} ÷ (−7)

⇒ {1 − 15} ÷ (−7)

⇒ (−14) ÷ (−7)

⇒ 2

The value of the numerical expression {[(30 − 60) ÷ (−30)]² − 15} ÷ (−7) will be 2.

More about the value of the expression link is given below.

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Just tell me which one it is because I am confused please help me

Answers

Answer:

[tex]d \: is \: correct[/tex]

Answer:

a. y = -2x-5

Step-by-step explanation:

*Don't get confused the y-axis scale is 2

I guess you would kind of have to guess by looking at the graph for this one, the y-intercept is 5.

The graph is negative because it is pointing the opposite way

The slope is 2 because the y-axis has a scale of 2

With these facts you can formulate that the equation would be y = -2x-5

In which sentence is a possessive pronoun spelled correctly?
A. I think this baseball is our’s.
B. The other team said the ball was their’s.
C. I like the stadium because it’s roof can be open or closed.
D. When we got to our seats , some other fans said the seats were theirs.

Answers

Answer:

D) when we got to our seats, some other fans said the seats were theirs

Answer:

not sure why you're in math, but I'm pretty sure the answer is D.

can someone help me please thanks correct answer gets crown

Answers

Answer:

80 x 10 exponet -6

Step-by-step explanation:

So let's start it off at 80, and let's x it by 10 exponet 1

8.0 if we add 5 more exponets the . will move to the area in the photo shown above. Basically every exponet that is there, you move the dot by that much.

A store sells one pound of strawberries for $2

a: How many pounds of strawberries can you buy with only $1? Show your answer with correct units.

b: How many pounds of strawberries can you buy with $11? Show your answer with work

Answers

Answer:

a) 1/2 pound

b) 5.5 pounds

Step-by-step explanation:

a) Realize $1 buys half of what $2 buys, or half a pound.

b) 11/2 = x/1

11 = 2x = 5.5

Maria and Ming start at the same point and drive in opposite directions.
Maria drives 40 mph and Ming drives 38 mph. How far apart will they be in
2 hours?
78 miles?
156 miles?
118 miles?
or 166 miles?

Answers

9514 1404 393

Answer:

  (b) 156 miles

Step-by-step explanation:

In 2 hours, Marian will have driven 2×40 = 80 miles, and Ming will have driven 2×38 = 76 miles. The distance between them is ...

  80 mi + 76 mi = 156 mi

The drivers will be 156 miles apart in 2 hours.

 what is the geometric sequence and the 8th term and the 10th term

Answers

Answer:

The geometric sequence is decreasing by 0.5 * each term

common ratio = 0.5

an equation for this exact sequence would be

50(0.5)^x-1

Step-by-step explanation:

To find the common ratio for a geometric sequence we can divide the previous term value by the next term value

so 50 / 25 = 0.5

and to check we can divide

25 / 12.5 = 0.5

So our common ratio is 0.5

Step-by-step explanation:

Given sequence:

50, 25, 12.5, ...

The first term is 50 and the common ratio is:

r = 12.5/25 = 25/50 = 1/2

The equation:

tₙ = t₁rⁿ⁻¹tₙ = 50(1/2)ⁿ⁻¹

Find the 8th and 10th terms:

t₈ = 50(1/2)⁷ = 0.390625t₁₀ = 50(1/2)⁹ = 0.09765625

Guided Practice


A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form.


(3, –8), (–2, 5)


A.
y+8= 13/5 ( x−3 ); y= 13/5 x− 1 5


B.
y−8=− 13/5 ( x+3 ); y=− 13/5 x+ 1 5


C.
y+8=− 13/5 ( x−3 ); y=− 13/5 x− 1 5

Answers

Answer:

Step-by-step explanation:

Write in slope-intercept form,  

y = m x + b .

y = − 13 /5 x − 1 /5

3^3+(4^3-7^2+3)divided by3^2 what is the answer to the equation

Answers

Answer:

29

Step-by-step explanation:

simplify -4/3 / 2/-6​

Answers

Answer: 4

Step-by-step explanation:

Multiply by reciprocal of 2nd term, and simplify

-4/3 / 2/-6 = -4/3 * -6/2 = -4/3 * -3 = 4

-4 * -2 = 8

3 * -2 = -6

so, now we have

8/-6 ÷ 2/-6

8/-6 × -6/2

-48/-12

4

Write an absolute value equation of the form |ax+b|=cx+d that has no solution. Assume that a, b, c and d ≠0

Answers

9514 1404 393

Answer:

|3x +5| = 3x +1|3x +5| = x -1

Step-by-step explanation:

The left-side expression will not intersect the right side expression if the slopes are the same and the y-intercepts are chosen appropriately. An example is ...

  |3x +5| = 3x +1

The right-side line stays below the left-side V, so doesn't intersect.

__

You can choose the slopes to be different, also, if you make the intercepts such that the right-side line does not intersect the left-side V. An example of that is ...

  |3x +5| = x -1

__

Graphs of the left- and right-side expressions are shown in the attachment.

someone help me pls

Answers

the answer is 33 because 3+3=6*10-35+2

Mia has 12 boxes of cookies. Each box contains 36 cookies. She has another 258 cookies in the pantry. How many cookies does she have in all?

690
696
960
966

Answers

Answer:

A) 690

Step-by-step explanation:

12x36 + 258 = 690

Is 2 pi 9 inches rational or irrational

Answers

see budy your answer is very simple and that's 2 pi 9 inches is a rational number

A washer and a dryer cost $885 combined. The washer costs $65 less than the dryer. What is the cost of the dryer?

Answers

I believe the cost of dryer is $377.50.

The sum of-38 and a number is -21.
equation

Answers

Answer:

-38 + x = -21

Step-by-step explanation:

Since we don't know the number that -38 is being added to, we can suplement it in the equation with x.


Which is the best definition of the term "reciprocal"?
A fraction whose denominator has the value 1.
A fraction that is the multiplicative inverse of the given fraction.
A fraction whose numerator has the value 1.
A fraction whose numerator and denominator have the same value.

Answers

A fraction whose numerator and denominator have the same value.

Step-by-step explanation:

I'm not sure but i believe is that one

The best definition of the term "reciprocal" is: A fraction that is the multiplicative inverse of the given fraction. The correct option is option B

What is fraction reciprocal?

The reciprocal of a fraction is obtained by swapping the numerator and the denominator of the fraction. It is a number that, when multiplied by another number, results in a product of 1. For example, the multiplicative inverse of 2 is 1/2, because 2 × 1/2 = 1. In general, if a number "a" has a multiplicative inverse "b," then a × b = 1. However, not all numbers have multiplicative inverses.

Reciprocals are also knowns as multiplicative inverse. Multiplicative inverses are essential in various mathematical operations and concepts, including fractions and solving equations involving division.

Learn more about multiplicative inverses here

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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.

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