A scale on a map shows that 2.5 centimetres represents 15 kilometres what number of actual kilometres are represented by 17.5 centimetres on the map

Answers

Answer 1

Answer:

105km

Step-by-step explanation:

From the above question, the scale is

2.5 cm = 15km

Therefore,

17.5 cm = x

We Cross Multiply

2.5cm × x = 15km × 17.5 cm

x = 15km × 17.5cm/2.5

x = 262.5/2.5

x = 105 km

Therefore, the number of actual kilometres that are represented by 17.5 centimetres on the map is 105 kilometres.


Related Questions

Can someone help me? Giving 23 Points.

Answers

Answer:

Option 2 you welcome

explanation: I had this question a while back and I'm 100% sure that this is the right answer!

There were 20 cups of pudding left in the cafeteria after lunch. The lunch aide poured the extra pudding into quart sized containers how many quart sized containers will she need?

Answers

Answer:

5

Step-by-step explanation:

1 galon =16 tazas

1/4 de galon=4 tazas

1+.25= 1.25 ó 1+1/4=1, 1/4 y eso lo multiplico por 4

1.25 ×4= 5

Writing an Equation Given Two Point
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is

Answers

The y-intercept is the value when x=0. The x-intercept of 3 corresponds to y=0, and the point on the line is (3,0). The y-intercept of 4 corresponds to x=0, and the point on the line is (0,4). ... Now that we have the slope, we can write the equation for the line in point-slope form. One quick way to do this is to use the fact that
3

4
=
12
to say an equation for this line is
4
x
+
3
y
=
12
(since, when
y
=
0
, it follows that
x
=
3
and when
x
=
0
it follows that
y
=
4
).
You could also find the slope of the line containing the points
(
x
,
y
)
=
(
3
,
0
)
and
(
x
,
y
)
=
(
0
,
4
)
as
Δ
y
Δ
x
=
4

0
0

3
=

4
3
so that the equation has the form
y
=

4
3
x
+
b
, where
b
is the
y
-intercept so the equation becomes
y
=

4
3
x
+
4
. This is equivalent to the last answer because you can multiply everything by 3 and rearrange to get
4
x
+
3
y
=
12.

1 point
1) Taylor and her family took a road trip. She explains that the equation y =
60x describes the proportional relationship between the number of miles,
y, her family traveled, to the number of hours, x, the trip took. Which
statement represents the same proportional relationship? *

Taylor's family traveled 50 miles in 1 hour.

Taylor's family traveled 120 miles in 2 hours.

Taylor's family traveled 180 miles in 4 hours.

Taylor's family traveled 200 miles in 5 hours.

Answers

Answer:

120 miles in 2 hours

Step-by-step explanation:

120 = 60(2)

Need help with this
(I think it’s 49 but I’m not sure)

Answers

Answer:

Its 49

Step-by-step explanation:

Can i get brainliest

hhHheLLlpP Help help help help help plzz
The school hiking club had a car wash on Saturday and Sunday. The students washed 30% of the
cars on Saturday. If they washed 24 cars on Saturday, how many cars did they wash on both days?
O A) 24
O B) 30
OC) 72
OD 80

Answers

D 80

Because 80-30% is 24

Answer:

D) 80

Step-by-step explanation:

30 x 80 = 24

  100

30/100 = 24/80

30% = 24

24 is 30% of 80

Hopefully this helped! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

What is the slope of the line that intersects this two points (12,2), (-7,5)

Answers

(12,2) (-7,5)

x1 y1. x2 y2

use this formula to solve:

y2-y1/x2-x1

=

(5)-(2)

(-7)-(12)

slope: -3/19

8. If k = log2 3 then log2 48 =

Answers

Answer:

16k

Step-by-step explanation:

k=3log2

k=(48\16) log2

16k= 48log2

16k=log2 48

Numbers can be expressed in logarithms.

The value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]

The expressions are given as:

[tex]\mathbf{k = log_23}[/tex]

[tex]\mathbf{log_248}[/tex]

Express 48 as 3 * 16

[tex]\mathbf{log_248 = log_2(3 \times 16)}[/tex]

Split

[tex]\mathbf{log_248 = log_2(3) + log_2(16)}[/tex]

Express 16 as 2^4

[tex]\mathbf{log_248 = log_2(3) + log_2(2^4)}[/tex]

Rewrite as:

[tex]\mathbf{log_248 = log_2(3) + 4log_22}[/tex]

In logarithms:

[tex]\mathbf{log_aa = 1}[/tex]

So, we have:

[tex]\mathbf{log_248 = log_2(3) + 4(1)}[/tex]

[tex]\mathbf{log_248 = log_2(3) + 4}[/tex]

Substitute [tex]\mathbf{k = log_23}[/tex]

[tex]\mathbf{log_248 = k + 4}[/tex]

Hence, the value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]

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Solve for



50
15
None of the above
Other​

Answers

Each of the angles is 50 degrees, so x = 50.

Cheyenne is deciding between the ways she has to buy music. Albums on CD cost
$13 but downloads of an album only cost $10. If she can spend up to $150 on
music purchases, which of these expresses her purchasing restrictions when she
buys c CDs and downloads d albums?

Answers

Answer:

13c+10d>150

Step-by-step explanation:

Which expression is equal to (x+2)(x-4)/(x-4)(x+4)

A) x-2/x+4

B) x+4/x+2

C) x-2/x-4

D) x+2/x+4

Answers

Answer:

The expression equal to [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex] is [tex]\frac{(x+2)}{(x+4)}[/tex]

Option D is correct.

Step-by-step explanation:

We need to solve the expression [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex]

Since it is a fraction, and all terms are multiplying with each other we can cancel out common terms.

Since x-4 is both in numerator and denominator so, it will be cancelled out and we will get:

[tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}\\=\frac{(x+2)}{(x+4)}[/tex]

So, the expression equal to [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex] is [tex]\frac{(x+2)}{(x+4)}[/tex]

Option D is correct.

Answer:

D.) x+2/x+4

I took the quiz :)

Step-by-step explanation:

Identify the system of linear equations from the tables of values given below.

x y
0 5
5 0
2 3
4 1

x y
0 -3
3 0
5 2
-1 -4

Answers

Answer:

It is the first answer y=- x + 5 and y = x - 3

Step-by-step explanation:

y=-x+5 and y=x-3 is the system of linear equations for the given table values.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

A system of linear equations is usually a set of two linear equations with two variables.

x       y

0      5

5      0

2      3

4       1

Let us find equation of these values by considering any two points.

Slope: m=1-3/4-2=-2/2=-1

1=-1(4)+b

1+4=b

b=5

So y=-x+5 is the linear equation for first table.

x        y

0       -3

3       0

5       2

-1       -4

Slope m=-4-2/-1-5=-6/-6=1

Now find the y intercept

-4=1(-1)+b

-4+1=b

-3=b

y=x-3 is the equation of second table.

Hence,  y=-x+5 and y=x-3 is the system of linear equations for the given table values.

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(x^2) +16x+86 = (x+A)^2 +B
How do I solve for A and B

Answers

Answer:

Step-by-step explanation:

If the question is:

x^2 + 16 + 86 = (x+A)^2 + B

Then the answer is , A= +/- 4 and B=86

Consider a right triangle with leg b = 7.1 and opposite angle B = 39.3. Using a calculator, determine the other angle and the remaining sides of the triangle. Express your answers using at least one decimal place.

Answers

Answer:

i. a = 8.7, b = 7.1 and c = 11.2

ii. A = [tex]50.7^{o}[/tex], B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]

Step-by-step explanation:

Given a right triangle with, b = 7.1 and B = [tex]39.3^{o}[/tex].

I. Applying the trigonometric function to determine leg a, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]39.3^{o}[/tex] = [tex]\frac{7.1}{a}[/tex]

a = [tex]\frac{7.1}{Tan 39.3^{o} }[/tex]

  = 8.675

The length of leg a is 8.7.

ii. To determine leg c,

Sin [tex]39.3^{o}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

              = [tex]\frac{7.1}{c}[/tex]

⇒c = [tex]\frac{7.1}{Sin39.3^{o} }[/tex]

     = 11.21

The length of leg c is 11.2.

iii. Given that: B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]

Then,

A + B + C = [tex]180^{o}[/tex]  (sum of angles at a point)

A + [tex]39.3^{o}[/tex] + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]

A + [tex]129.3^{o}[/tex] = [tex]180^{o}[/tex]

A = [tex]180^{o}[/tex] - [tex]129.3^{o}[/tex]

  = [tex]50.7^{o}[/tex]

Please help on a maths question, Brainiest for the best answer!!!

Answers

perimeter = sum of all sides

= 4.3 + 7 + 4.3 + 7 + 4.3 + 7 + 2.7

= 36.6 cm

Answer:

36.6 cm

Step-by-step explanation:

Each side, starting with the one all the way to the left and going anticlockwise.

7 + 4.3 + 7 + 4.3 + 7 + (7 - 4.3 = 2.7) + 4.3 = 36.6

Michael consumes a 16 ounce bag of potato chips and 12 ounce bag of pretzels every day after school. How many more ounces of potato chips than pretzels will Michael have eaten at the end of a 5 day school week?
A.
20 ounces
B.
80 ounces
C.
60 ounces
D.
28 ounces

Answers

Answer:

b

Step-by-step explanation:

Choose all the expressions that are equal to 34 × 8,010.
A. 8,010 × 34
B. 34 × (801 × 102)
C. 30 × 4 × 8,010
D. 34 × (8,000 + 10)
E. (30 + 4) × 8,010

Answers

Answer: A. 8,010 × 34

D. 34 × (8,000 + 10)

E. (30 + 4) × 8,010

Step-by-step explanation:

First we need to calculate 34 × 8010 = 272340

A. 8,010 × 34 = 272340

This is equal to 34 × 8010.

B. 34 × (801 × 102)

= 34 × 81702

= 2777868

This is not equal to 34 × 8010.

C. 30 × 4 × 8,010

= 961200

This is not equal to 34 × 8010.

D. 34 × (8,000 + 10)

= 34 × 8010 = 272340

This is equal to 34 × 8010.

E. (30 + 4) × 8,010

= 34 × 8010 = 272340

This is equal to 34 × 8010.

Therefore, the correct options are:

A, D, E.

What is 900000+18765439??

Answers

Answer:

Step-by-step explanation:

   900000

+18765439

=27765439

Answer is 27765439

Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For every additional computer they sell during that month, the commission per computer is 1.5 times the rate for the first five. Which of the following is the total commission earned by a salesperson who sells 8 computers in a month?

A. $190
B. $800
C. $950
D. $1,050
E. $1,200

Answers

Answer:

The answer is C.

Step-by-step explanation:

Firstly, you have to find the new commission sales after first 5 computera are sold. In order to do so, you have to multiply it by 1.5 :

$100 × 1.5 = $150

Next, you have to find the total amount :

($100×5) + ($150×3)

= $500 + $450

= $950

I WILL MARK YOU BRAINLIEST PLEASE HELP. It needs to be correct

Answers

9514 1404 393

Answer:

a) the originb) 2

Step-by-step explanation:

Lines AA', BB', and CC' all converge at the origin. The origin is the center of dilation.

__

Each image point is twice as far from the origin as its corresponding pre-image point. The scale factor is 2.

Please help! this assignment is due under 10 minutes! please with explatiation Thank you!

Answers

can't see the question its blurry

Answer:

The 1st graph is The answer

Mike had 180 blue and red pencils. He had 45 blue. What percentage of his pencils are red.

Answers

Answer:

First divide 180 by 45, 180/45=4. So 25% of his pencils are blue, which means 75% of his pencils are red.

The percentage of red pencils Mike had is 75%.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Mike had 180 blue and red pencils and 45 were blue.

So, The number of red pencils is,

= (180 - 45).

= 135.

Therefore, The percentage of red pencils is,

= (135/180)×100%.

= 75%.

Some other concept related to percentage is percentage change,  

The net amount change will now be divided by the original sum and multiplied by 100%, giving us the percentage change, which is,

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Please help!!!! ASAP!!! Thank you!!!

Answers

Answer:

28

Step-by-step explanation:

There were 7 chairs in each row, now they add three more to each row so now there's 10 chairs per row. There were 56 chairs altogether previously but now they need 5 times more so 56 times 5 equals 280. so with ten chairs per row and 280 chairs in total: 280/10 = 28. You'll need 28 rows

GH¯¯¯¯¯¯¯ has endpoints G(−3, 2) and H(3, −2).
Find the coordinates of the midpoint of GH¯¯¯¯¯¯¯ .

A. (−3, 0)
B. (0, 2)
C. (0, 0)
D. (0, −2)

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]( \frac{ - 3 + 3}{2} \: , \: \frac{ - 2 + 2}{2} ) = ( \frac{0}{2} \: , \: \frac{0}{2} ) = \\ [/tex]

[tex](0 \: , \: 0)[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( C )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Solve -5 = 3x - 14.
X=__

Answers

Answer:

x=3

Step-by-step explanation:

-5 = 3x - 14

+14 + 14

3/9 = 3/3x

3 = x

PLEASE I NEED HELP URGENT I WILL MARK, SOLVE AND EXPLAIN THE ANSWER

Answers

the answer should be 18 because 10/1 1/4=0.125+1 1/4=1.375+0.125=1.5x12=18
this should be correct i’m truly sorry if it’s not

In the activity, Heavy Flying, we looked at constraints for transporting packages from Careful Calculators and Charlie's
Chicken Feed
• Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume.
• Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume.
On Monday, the pilot transferred containers that totaled 30,000 pounds and 1,600 cubic feet in volume.
1. Write a system of equations to model this situation.
2. Write a matrix equation to model this situation.
3. Solve. How many of each container was transported?
Show your work by uploading a picture or typing in the text box.

Answers

Answer: 500 chicken feed and 200 careful calculators

Step-by-step explanation:

2x+3y=1,600

40x+50y=30,000

those are your first two equations

your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.

a) The system of equations are 2x + 3y = 1600 and 40x + 50y = 30000

b) The matrix equations are solved

c) The solution to the system of equations is

The number of chicken feed = 500

The number of careful calculators = 200

What is multiplication of matrices?

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

Let the number of chicken feed be represented as x

Let the number of careful calculators be y

Now , the equation will be

Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume

And , Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume

Substituting the values in the matrices , we get

[tex]\left[\begin{array}{ccc}2 &3 \\ 40 &50 \\\end{array}\right] * \left[\begin{array}{ccc}x\\y\\\end{array}\right]= \left[\begin{array}{ccc}1600\\30000\\\end{array}\right][/tex]

On simplifying the matrix equation , we get

2x + 3y = 1600   be equation (1)

40x + 50y = 30000   be equation (2)

Now , multiply equation (1) by 20 , we get

40x + 60y = 32000   be equation (3)

Subtracting equation (2) from equation (3) , we get

10y = 2000

Divide by 10 on both sides of the equation , we get

y = 200 careful calculators

Substituting the value of y in equation (1) , we get

2x + 3 ( 200 ) = 1600

2x + 600 = 1600

Subtracting 600 on both sides of the equation , we get

2x = 1000

Divide by 2 on both sides of the equation , we get

x = 500 chicken feeds

Therefore , the value of x and y are 500 and 200 respectively

Hence , the system of matrix equations are solved

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PLEASEEEEEE HELPPPPP ASAPPPP

Answers

The correct answer is f(x)= 25z + 400

An architect is planning a triangular pool with a perimeter of 99 ft.Two of the sides measure 20 and 42, respectively, what is the length of the missing side(x)?Solve for x

Answers

Given:

Perimeter of the triangle = 99 ft

Length of two sides are 20 ft and 42 ft.

To find:

The length of missing side.

Solution:

Let the missing side be x.

Perimeter of a triangle is the sum of all sides of that triangle.

[tex]x+20+42=99[/tex]

[tex]x+62=99[/tex]

Subtract 62 from both sides.

[tex]x=99-62[/tex]

[tex]x=37[/tex]

Therefore, the missing side of the triangle is 37 ft.

In a newspaper, it was reported that the number of yearly robberies in Springfield in 2012 was 90, and then went down by 50% in 2013. How many robberies were there in Springfield in 2013?​

Answers

Answer: 45

Step-by-step explanation:

Other Questions
Please answer these questions for 8th Grade Algebra! First-person to answer will be marked as brainiest! Worth lots of points! PLZZ HELP!!!!1. Find the value of x and y.2. In an A-figure house, the two congruent sides extend from the ground to form a 34 angle at the peek. What angle does each side form with the ground? A tutor work with 3 students. The oldest student is 6 years oldder then the middle student, and the youngest student is 3 years younger than the middle student. The sum of the ages of the students is 30. How many years old is the youngest student a pickup truck travels 45 Mi on 2 and 1/3 gallons of gas how far did it travel on 1 gallon of gas What is an algebraic expression to represent the perimeter of a rectangle with a width of x+5 and a length of 3x+10? If 4(r + 2) 13 = 11, what is the value of r? Jake solved an equation, as shown 1. 1/3x + 7 = 15 2. 1/3x + 7 - 7 = 15 3. 1/3x = 15 4. 3 1/3x = 3 15 5. x = 45 Which statement is true?Jake made a mistake in step twoJake made a mistake in step fourJake made a mistake in step fiveJake solved the equation correctly PLEASE HELP ME!! What is one way that Gaozu achieved stability within the Tang dynasty??A: HE AVOIDED LARGE EXPENSES B:HE CONQUERED THREATENING ENEMIESC: HE INVESTED IN MASSIVE RELIGIOUS PROJECTSD: HE CONVERTED THE ENTIRE REGION TO CONFUCIANISM What was the Greek's main means of trade?A. they only traded with GreeksB. the Silk RoadC. the seaD. overland trade routesE. Other (if other write your answer) Which title completes the list below? Called for the repeal of 13 acts of Parliament Voted to boycott British trade Endorsed the Suffolk Resolves Actions Taken by the Declaration of Independence Committee Actions Taken by the First Continental Congress Actions Taken by the Second Continental Congress Actions Taken by the Committee of Correspondence Joe had a balance of $34 on his credit card. He bought a sandwich and charged $40 on his credit card. 1a.) Write an equation that represents this scenario. Which adverb compares four actions?A) higherB) least aggressivelyC) more carefullyD) less cautiously Select the correct answer. The Percent Daily Value on a food label can help you make comparisons between foods. OA. True OB. False Why do you think Soda tells Pony to go back to sleep so firmly? Correct the error in agreement.Neither of us are going to the store.PWEASE HELP MWE!Tank chu. :3 Which two types of energy are formed by the transformation shown in thephoto?A. Chemical energy thermal energyn BiThermal energyelectrical energyC. Thermal energy chemical energyD. Chemical energy - electromagnetic energySUBMIT Which of the following is an extensive property of a sample of aluminum? Mr. Johnson has a piece of pipe 5 1/3 feet long. He decides to cut it into 3 equal pieces to use in making a railing for his porch. How long should he cut each piece?HURRY!!! WILL GIVE ALOT OF POINT AND BRAINLIEST 25 POINTS. Which three features are related to the functions of a continuous rotation servo motor?A. The command signal sets the direction and speed of rotation.B. It can change the shaft's movement from circular to forward or backward motion.C. It is commonly used for radar navigation on robots.D. The motor can turn either clockwise or counterclockwise with no limits.E. There are barriers in the design that prevent rotation beyond a half circle. Visible light has an average wavelength of 550 nm. How much energy would be in this wavelength of light? 5 x 10-19