5. A map is drawn to a scale of 3:750.
i. The distance between two towns is 15.4 cm apart. What is the actual distance between
these two towns in metres?

Answers

Answer 1

Answer:

23.1m

Step-by-step explanation:

we define x to be the actual distance, y to be the distance on map (y=15.4cm)

if the map scale is 3:750, then by definition of scaling, x and y must satisfy:

\( \frac{y}{x} = \frac{3}{750} = \frac{1}{150} \)

we isolate x:

\(x = 150 \times y = 150 \times 15.4 = 2310cm = 23.1m\)


Related Questions

one component of product in a marketing mix is ________. group of answer choices sales promotion the company image the point of purchase personal selling

Answers

One component of the marketing mix is "sales promotion".

The marketing mix is a set of tactics and tools used by companies to promote and sell their products or services. It consists of four components, also known as the "4Ps": product, price, promotion, and place.

Sales promotion refers to short-term incentives offered to customers to encourage them to buy a product or service. This can include things like coupons, discounts, contests, and free samples. By using sales promotion, companies aim to increase sales and customer loyalty in the short-term.

what is discounts?

Discounts are a reduction in the price of a product or service that is offered to customers as an incentive to make a purchase. They are commonly used by businesses to increase sales and attract new customers, or to retain existing customers.

Discounts can take many forms, such as percentage-off promotions, buy-one-get-one-free offers, bundle discounts, and loyalty rewards. Businesses may also offer discounts to certain groups of customers, such as students, senior citizens, or military personnel.

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A group of 12 adults and 26 children go to a theme park.
The total cost of tickets was £1804.80
And adults ticket costs £51.60
Find the cost for a child

Answers

Answer:

45.56923076923077

Step-by-step explanation:

Work out 51.6 x 12 which is 619.2 and subtract that from 1804.80 then x your answer which is 1,184.8 and divide by 26 to get your answer which is 45.569....

Evaluate what is the answer to
3.4
+
5.14

Answers

3.4
5.14
______

8.54

If we round the answer
We get 8.5

Guess I gave you the correct answer

Can you guys help me solve this equation with step-by-step help, please...

-2x -5y = 16

2x -3y = -16

-5x + 2y = 11

-3x + 4y = -13

Answers

Step-by-step explanation:

-2x - 5y = 16___(1)

2x - 3y = -16___(2)

(1) + (2) ==> -2x -5y = 16

(+) 2x -3y = -16

-8y = 0

y = 0/-8

y = 0

y=0 in (1)

(1)---> -2x-5y =16

-2x - 5(0) = 16

-2x - 0 = 16

-2x = 16

x = 16/-2

x = -8

x = -8 , y = 0

-5x + 2y = 11__(1) ; -3x + 4y = -13___(2)

multiply eqn(1) with 2

2 × (1) : -10x + 4y = 22___(3)

(3) - (2) :. -10x + 4y = 22

(-) -3x + 4y = -13

-7x = 35

x = 35/-7

x = -5

x=-5 in (1)

(1) : -5x + 2y = 11

-5(-5) + 2y = 11

25 + 2y = 11

2y = 11 - 25

2y = -14

y = -14/2

y = -7

x = -5 , y = -7

(x^3+3x^2-x+2)/(x-1)

Answers

Answer:

x^2 + 4x + 3 with a remainder of 5

(x^3+3x^2-x+2)/(x-1)

What expression is equivalent to 4 to the power of 4 times 4 to the power of -9

Answers

4^4 * 4^(-9) = 4^(4-9) = 4^(-5) or 1/(4^5)

without using symmetry, determine a definite integral that represents the area of the region enclosed by r = 1 sin θ .

Answers

The definite integral that represents the area of the region enclosed by the polar curve r = 1 sin θ is ∫[a, b] 1/2 r^2 dθ

To determine the definite integral that represents the area of the region, we integrate the expression 1/2 r^2 with respect to θ over the interval [a, b], where a and b are the limits of the region.

In this case, the polar curve r = 1 sin θ represents a circle with radius 1 centered at the origin. As θ varies from 0 to π, the curve traces half of the circle in the positive direction. To find the area of the region enclosed by this curve, we integrate the expression 1/2 r^2 over this interval.

The expression 1/2 r^2 represents the area of a sector of the circle with radius r and central angle θ. Integrating this expression with respect to θ gives us the total area enclosed by the curve.

By evaluating the definite integral over the interval [a, b], we can find the area of the region enclosed by the polar curve r = 1 sin θ.

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solve the equation |x|=3

Answers

Answer:

x= -3 or 3

Step-by-step explanation:

when a number is in those bars, it needs to find absolute value, and since we know the absolute value already, we can guess that its either -3 or 3.

PLS give me brainliest :(

____________________________->

Answer: 3

Step-by-step explanation: all its doing is asking for the positive of x which is 3

3. On her way to work each morning, Sophia
purchases a small cup of coffee for $4.25
from the coffee shop.
dependent and independent

Answers

Independent quantity: number of cups
Dependent quantity: cost (dollars)

For what value of the variable doe the following expreion make ene: quare root of (-5x)^3

Answers

take any negative value of x suppose x= -1,-2 ....etc then it makes sence and it is valid cube

What are types of expressions?

There are three kinds of expressions: An arithmetic expression evaluates to a single arithmetic value. A character expression evaluates to a single value of type character. A logical or relational expression evaluates to a single logical value.

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Most engaged couples expect or at least hope that they will have high levels of marital satisfaction. However, because 54% of first marriages end in divorce, social scientists have begun investigating influences on marital satisfaction. (Data Source: These data were obtained from the National Center for Health Statistics. ) Suppose a counseling psychologist sets out to look at the role of having children in relationship longevity. A sample of 78 couples with children score an average of 51. 1 with a sample standard deviation of 4. 7 on the Marital Satisfaction Inventory. A sample of 94 childless couples score an average of 45. 2 with a sample standard deviation of 12. 1. Higher scores on the Marital Satisfaction Inventory indicate greater satisfaction.
Suppose you intend to conduct a hypothesis test on the difference in population means. In preparation, you identify the sample of couples with children as sample 1 and the sample of childless couples as sample 2. Organize the provided data by completing the following table:​

Answers

To organize the provided data, we can create a table comparing the samples of couples with children (sample 1) and childless couples (sample 2) as follows:

Sample Sample Size Sample Mean Sample Standard Deviation

1 78 51.1 4.7

2 94 45.2 12.1

In this table, we have listed the sample number (1 and 2), the sample size (number of couples in each group), the sample mean (average Marital Satisfaction Inventory score), and the sample standard deviation (measure of variability in the scores) for each group. This organization allows us to compare the data and proceed with hypothesis testing on the difference in population means between the two groups.

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9x^(2)+64y^(2)=25 If there is more than one answer, separate them with comm

Answers

The ellipse has semi-major axis length of 5/3, the semi-minor axis length of 5/8

To solve the equation 9\(x^2\) + 64\(y^2\) = 25, we can rearrange it to isolate one of the variables and solve for the other. Let's solve for y.

9\(x^2\) + 64\(y^2\) = 25

Divide both sides by 25:

(9\(x^2\) + 64\(y^2\)) / 25 = 1

Now, we can write the equation in standard form:

\(x^2\)/ \((5/3)^2\) + \(y^2 / (5/8)^2\) = 1

Comparing this equation with the standard form of an ellipse:

\((x - h)^2 / a^2 + (y - k)^2 / b^2\) = 1

We can see that the center of the ellipse is at the point (h, k) = (0, 0), and the semi-major axis length is a = 5/3, while the semi-minor axis length is b = 5/8.

Therefore, the equation represents an ellipse centered at the origin with the semi-major axis length of 5/3 and the semi-minor axis length of 5/8.

The graph of the ellipse will be elongated along the x-axis due to the larger value of a compared to b.

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7. 30 minutes to jog 3 miles; 50 minutes to jog 5 miles

Answers

Answer:

What’s the question?

Step-by-step explanation:

Which of the relations given by the following sets of ordered pairs is a function?O {(1, 1), (1, 3), (1, 5), (1, 7), (1, 9)}O {(-2, 1), (7, 5), (-4,0),(3,1),(0,-6)}O {(1,2),(2,3),(3,4), (3,3),(2,2),(1,1)}O {(2, -7), (6,5),(-3,9), (2,0), (-5,3)}

Answers

The relations given by the following sets of ordered pairs is a function is O { ( -2, 1 ), ( 7, 5 ), ( -4,0 ),( 3,1 ),( 0,-6  )} .

To be a function, there needs to be one unique value of y for every x .

The 1st set has 5 different values of y for x = 1 and violates definition

so 1st set is not a function

The 2nd set is a function because every value of y has unique value of x or vice versa .

The 3rd set has :

( 1,2 ) & ( 1,1 )

( 2,3 ) & ( 2,2 )

( 3,4 ) & ( 3,3 )

Each of these pairs violates the definition so the 3rd set is not a function

The 4th set has ( 2,-7 ) & ( 2,0 ) which violate definition so it is not a function.

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Which system of equations has only one solution?
A
y=x+5 and y=-3x+6
B
y=x-2 and y=x+4
C
y= |x - 5| and y = 0.2x+1
D
y = x^2-1 and y=1.5x + 1

Answers

Answer:

A

Step-by-step explanation:

option A has two linear equations that intersect at one point

option B has two linear equations that are parallel and do not intersect

option C has one linear equation and an absolute value equation that intersect at two points

option D has one linear equation and a quadratic equation that intersect at two points

The pool has 27 umbrellas, 6 of them are red, what fraction of umbrellas are red? *

Answers

Answer:

2/9

Step-by-step explanation:

It would be 6/27, but you simplify by dividing each number by three.

What is the volume of a rectangular prism with side lengths of 8 inches, 5 inches, and 3 inches?

Answers

Answer:

volume of rectangular =l×b×h

= 8×5×3

=120

PLEASE HELP ME ANSWER ASAP

PLEASE HELP ME ANSWER ASAP

Answers

L = k/f, where k is the variational constant, is the formula for the inverse variation.

Inverse proportions

A mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.

Using the variables length of violin 'l' and frequency of vibration 'f'

If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:

l α 1/f

l = k/f

Hence the formula for the inverse variation is l = k/f where k is the constant of variation.

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Find the area of the surface obtained by rotating the curve y=1+5x2 from x=0 to x=2 about the y -axis. computed using the method of disks or washers via an integral

Answers

The surface area obtained by rotating about the y -axis is 168.159.

What is Integration?

In mathematics, integration is a technique for combining or adding the parts to arrive at the total. It is a form of differentiation in reverse where we break down functions into their component elements. This technique is employed to determine the summation on a sizable scale.

We have the function y=1+5x² from x=0 to x=2 about the y -axis.

So, the Surface are is

S = 2π ∫ R(x) √ (1+ f'(x)²}

Then, f'(x) = 10x

Then, S = 2π ∫ R(x) √ (1+ f'(x)²}

= 2π ∫ (1+5x²) √ (1+100x²)

= 1/150 (401 (√401-1)) π

= 168.159

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$13 per hourIf you WORKED 39:45 EveryWEEK, WHAT WOULD YOUR,Gross Monthly Income?

Answers

\(undefined\)

5 Tony has 14 hundreds,
six tens, and 5 ones.
Gene has 1 thousand,
4 hundreds, 16 tens.
and 5 ones. Mrs. Lane
says their totals are
equivalent. Is she
correct? Prove it.

Answers

The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

14 hundreds, six tens, and 5 ones = 14(100) + 6(10) + 5(1) = 1465

1 thousand, 4 hundreds, 16 tens. and 5 ones = 1(1000) + 4(100) + 16(10) + 5(1) = 1565

The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.

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Answer:

Step-by-step explanation:

Gene has more, also, by the way, aren't you in my school? Do you know Ezekiel?

in this fulcrum, the weights are perfectly balanced. how far must the fulcrum be located from the 40 lb. weight if the bar is 9 feet long?

Answers

The distance of 40 lb will be 5ft, according to the question.

What do you mean by distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

According to the given question,

We have the given information:

The fulcrum be located from the 40 lb.

The weight of bar is 9ft long.

Now, we will calculate the distance,

40x = 50(x-1)

40x = 50x - 50

40x - 50x = -50

-10x = -50

x = 5

Therefore, the required answer is 5ft.

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Rodger bowled seven games last week. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the median of Rodger's score?

Answers

Answer

The median is 155

Step-by-step explanation:

You get the numbers from least to greatest then the middle number is your median.

Joan took her three children to the zoo. Admission is $7 each. The snack bar sells water for $2 per bottle and chips for $3 per bag. Write an expression for the total cost of their trip to the zoo if they bought x bottles of water during their visit. ​

Answers

The expression for the total cost of their trip is 7 + 2x + 3y.

As per the question, assuming the number of bottles to be x and number of bags to be y. The equation will have one time fee of admission, product of cost of bottles and number of bottles and product of cost of bags and number of chips bags.

The one time fee and two products will be added to form the expression. Forming the equation now -

Expression = 7 + 2x + 3y

Therefore, the expression of trip when x bottles of water were bought during the visit is 7 + 2x + 3y.

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I need answers for this question

I need answers for this question

Answers

The inequality 3 ≤ x - 2 simplifies to x ≥ 5. This means x can take any value greater than or equal to 5. Therefore, option (E) with a number line from positive 5 to positive 10 is correct.

Given: 3 \(\leq\) x - 2

We need to work out which number line below shows the values that x can take. In order to solve the inequality, we will add 2 to both sides. 3+2 \(\leq\) x - 2+2 5 \(\leq\) x

Now the inequality is in form x \(\geq\) 5. This means that x can take any value greater than or equal to 5. So, the number line going from positive 5 to positive 10 shows the values that x can take.

Therefore, the correct option is (E) A number line going from positive 5 to positive 10.  We added 2 to both sides of the given inequality, which gives us 5 \(\leq\) x. It shows that x can take any value greater than or equal to 5.

Hence, option E is correct.

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What is the definition of liquidity?
ERRE
how difficult it is to maximize returns on investments
how much money someone has in a savings account
how easily an investment can be exchanged for cash
how much income someone has to invest each year

Answers

Answer: The answer is the third option (How easily an investment can be exchanged for cash)

Step-by-step explanation: I got 100% on this quiz on Edge, I’m 3 weeks late to answering this, but I hope It helps somebody :)

Answer:

C. How easily an investment can be exchanged for cash.

Step-by-step explanation:

Solve for x. 10 x − 3 x + 5 = 26

Answers

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

let's solve for x~

\(10x - 3x + 5 = 26\)

\(7x = 26 - 5\)

\(7x = 21\)

\(x = \dfrac{21}{7} \)

\(x = 3\)

value of x = 3 ~

x=3


26-5=21.
10x -3x =7x
7x=21
21/7=3

Which statement will prove that PQS is similar to JKL?

Answers

Answer:

Q=L

Step-by-step explanation:

Answer:A

Step-by-step explanation:

How many different three-digit numbers can be written using digits from the set 1, 2, 3, 4, 5 without any repeating digits?

Answers

60 different three-digit numbers can be written using digits from the set 1, 2, 3, 4, and 5 without any repeating digits.

What are numbers?A number is a mathematical object that can be used to count, measure, and label things. The natural numbers 1, 2, 3, 4, and so on are the original examples. Number words can be used to represent numbers in language.

To find how many different three-digit numbers can be written using digits from the set 1, 2, 3, 4, and 5 without any repeating digits:

1st Method:

The 1st digit can be written in 5 waysThe 2nd digit can be written in 4 ways (since 1 already gone and no repetition)The 3rd digit can be written in 3 ways (since 2 already gone and no repetition)Total number of ways = 5x4x3 = 60 ways

2nd Method:

Permutation (since ORDER MATTERS) of 3 digits chosen among 5 (with no repetition)⁵P₃ = (5!)/(5-3)! = (5!)/(2!) = 60 ways

Therefore, 60 different three-digit numbers can be written using digits from the set 1, 2, 3, 4, and 5 without any repeating digits.

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I WILL GIVE BRAINLIEST PLEASE ANSWER!!! How much should be invested now at an interest rate of 5.5% per year, compounded continuously, to have $3500 in two years?

Do not round any intermediate computations, and round your answer to the nearest cent.

I WILL GIVE BRAINLIEST PLEASE ANSWER!!! How much should be invested now at an interest rate of 5.5% per

Answers

Answer:

$3,135.42

Step-by-step explanation:

\(p{e}^{.055 \times 2} = 3500\)

\(p = \frac{3500}{ {e}^{.11} } = 3135.42\)

The person should invest $3135.42 at an interest rate of 5.5% compounded continuously to have $3500 in two years.

What is continuous compounding?

The practice of continuous compounding involves computing interest and reinvesting it into the balance of an account for an endless number of periods.

Given that, the interest rate is n = 5.5%comp continuously and the final amount after x = 2 years is P(x) = $3500.

The formula for the final amount in continuous compounding is:

P(x) = P₀eⁿˣ      (1)

Where P(x) is the amount after x years, P₀ is the initial amount, and n is the interest rate.

Substitute the values into equation (1):

\(3500 = P_{0}e^{5.5\%(2)}\\\\p_{0}=\frac{3500}{e^{0.11}}\\\\P_0=3135.42\)

Hence, the person should invest $3135.42 at an interest rate of 5.5% compounded continuously to have $3500 in two years.

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