A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width was f the lake is 1,000 m, what is the width of the lake on the scale drawing?

Answers

Answer 1

Answer:

12,5 centimeters.

Step-by-step explanation:

We take the following proportion

[tex]\frac{1 cm}{80m} = \frac{x}{1000m}[/tex]

Which becomes:

[tex]1000 = 80x[/tex]

And then, we clear out the variable x:

[tex]\frac{1000}{80}=\frac{100}{8}=\frac{50}{4}=12,5[/tex]

And this means that the width of the lake on the scale drawing will be 12.5 cm.


Related Questions

If f(x) = x2 – 3, find f (5)

Answers

Answer:

5*2 - 3

10-3

7

Step-by-step explanation:

mark me as the brainliest

Plug in 5 as the x f(5)=5(2)-3
Which means f(5)=7

Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'.

What is the area of rectangle A'B'C'D'?

Answers

Answer:

12

Step-by-step explanation:

Since both rectangles are of the same dimensions, simply multiply the width of the first box(2) and the length of the second box(6) together(2*6 = 12)

The area of rectangle before and after the 95° degrees rotation about point Q will be same.

What is the area of a Rectangle?

The area of a rectangle is the product of its length and width. Mathematically -

Area = length x width

Given is Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'

The area of a rectangle depends on its length and width and not on its orientation. When a rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D', in such case there will be no change in the dimensions of a rectangle. Therefore, the area of rectangle will remain same, irrespective of its orientation in plane.

Therefore, the area of rectangle before and after the 95° degrees rotation about point Q will be same.

To solve more questions on orientation of shapes, visit the link below-

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Para qué sirve la aritmética

Answers

I don’t speak the language sorry

Jack paid $120 to have his bus fixed at an auto-repair shop.
The parts of the bus cost $72, and service was charged at $12

Answers

what is the queen though?

Answer:

he only needed to pay 84 dollars.

Step-by-step explanation:

Someone help me please ill mark brainliest

Answers

Answer:

B?

Step-by-step explanation:

A B and C are the same

2x - 80
4x+20
Solve for x

Answers

Answer:

2x - 80 = 78x

4x+20=24x

55 = 18 +0.004x
What is x

Answers

55=18+0.004x
37=0.004x
9250=x

Answer:

Your answer is: x = 9250

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

A company had a loss of -$1,786.50 over the past 1.5 years. What was the company's average loss per year?

Answers

There are probably multiple ways to do this, but I divided the total loss (-$1786.50) by 3 to get the average loss for a half of a year. For this, I got -$595.5. Then, I multiplied by 2 to get the average loss for a full year, which I got -$1191.

−5+7g=3g+9

a: g +-1
b:g=1
c:g=
d:g=

Answers

Answer

g= 3 1/2 (#D)

Step-by-step explanation:

1/4 divided by 7/10 is...??
A. 7/40
B.5/14
C.10/28

Answers

Answer:

b. 5/14

Step-by-step explanation:

hope this helps. plz give brainliest

Answer:

Do keep change flip. Keep 1/4 and change division to multiplication. Also flip 7/10 to 10/7. That gives you 10/28. So C

Step-by-step explanation:

please please help me!!​

Answers

Step-by-step explanation:

domain is X and range is y

These 2 triangles are similar.
what is the length of x ​

Answers

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar, then the ratios of corresponding sides are equal, that is

[tex]\frac{9}{3}[/tex] = [tex]\frac{x}{5}[/tex] ( cross- multiply )

3x = 45 ( divide both sides by 3 )

x = 15

In 2002, a new car cost John $25,000. In 2012. John's car was valued at $4,000. What is the rate of change?​

Answers

Answer:

6%

Step-by-step explanation:

if y=27 when x=12, find x when y=-12

Answers

Answer:

x = - 36

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y =  ← k is the constant of variation

To find k use the condition y = 27 when x = 12, then

k = yx = 27 × 12 = 324, thus

y =  ← is the equation of variation

When y = - 9, then

- 9 =  ( multiply both sides by x )

- 9x = 324 ( divide both sides by - 9 )

x = - 36

Roberta bought 9/10 to pound of raisins. She put 2/5 pound in bags for her lunch. How many 2/5-pound bags can Roberta fill? Does she have any left over?

Answers

Answer:

2

Step-by-step explanation:

The number of the 2/5-pound bags can Roberta fill will be 2.25.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Roberta bought 9/10 pounds of raisins. She put 2/5 pounds in bags for her lunch.

The number of bags will be calculated as below:-

Number = ( 9 / 10 ) / ( 2 / 5 )

Number = 2.25

Therefore, the number of the 2/5-pound bags can Roberta fill will be 2.25.

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Rabbit Population The rabbit population in a certain area is 200% of last year's population. There
are 700 rabbits this year. How many were there last year?
There were rabbits last year.

Answers

Answer:

Kinda confusing, (probably just me) but I think it may be 1,400 rabbits last year.

The answer is 350 rabbits last year because you are doubling the amount of rabbits because last year it was at 100 percent

Jenny needs to trim some ribbon off of her ballet shoe She has 0.8 foot of ribbon on the shoe and needs to trim 0.2 of the amount how much ribbon should Jenny trim?


0.016 foot

0.16 foot

1.6 feet

16 feet

Answers

Answer:

0.16

Hope this Helps!

Answer:

0.16 is your answer hope this helps

Step-by-step explanation:

Rewrite the following as a product of two factors
a(a -1) + 5(a - 1) =

Answers

Answer:

4a-5=0

4a=5

a=1.25

Product of 2 factors:

Unknown, as ive worked for about 30 minutes and can't figure it out

Step-by-step explanation:

2a-1a+5a-5

4a-5=0

a=1.25

A collection of 5 positive integers has mean 4.4, unique mode 3 and median 4. If an 8 is added to the collection, what is the new median. Express your answer as a decimal rounded to the nearest tenth.

Answers

9514 1404 393

Answer:

  4.5

Step-by-step explanation:

It appears the 5 integers must be {3, 3, 4, 5, 7}.

For the mode to be unique, there must be more than one '3', and there cannot be any other repeated numbers. For 4 to be the median, it must be the 3rd-highest number. Then the remaining numbers must be integers greater than 4 with a sum of 12 for the mean to be 4.4.

When 8 is added to the collection, the median is now the average of 4 and 5, so is 4.5.

The new median is 4.5.

_____

Comment on vocabulary

mean: the sum of numbers divided by the number of numbers. 5 numbers with a mean of 4.4 will have a sum of 5×4.4 = 22.

median: the middle number of a collection of an odd number of numbers, when sorted from lowest to highest. It is the 3rd number of a group of 5 numbers. When there are an even number of numbers in the group, the median is the average of the middle two in the sorted list. Here, that means the 3rd number in the list of 5 is '4'. When 8 is added, 4 becomes one of the numbers contributing to the average that will be the new median.

mode: the member of the group that appears the most times. When the mode is unique, it means there are no other numbers repeated as often. Here, we know the 3rd number (of 5) is 4, so there can only be two numbers '3' in the collection. That 3 is the unique mode means no other numbers are repeated at all.

Given the direct variation equation, y = 13x, find the following:
25. What is y when x is 5?

Answers

Answer: y = 65

Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT

HELP!
A stack of lumber is 6 feet wide, 4 feet high, and 2 feet long.

What is the volume of the stack?

Answers

to find the volume you have to multiply length times width times height so your answer should be 48? correct me if i’m wrong

Which of these place values is found to the left of 10?

tenths

hundreds

ones

thousands

Answers

Answer:

Hundreds

Step-by-step explanation:

In order from right to left, place value is:

[tex]Ones (1)[/tex]

[tex]Tens (10)[/tex]

[tex]Hundreds (100)[/tex]

[tex]Thousands (1000)[/tex]

And so on....

In the above order from right to left, the next after 10 is hundreds.

Hence;

Option B answers the question.

Simply the expression


-8 (5b + 2 ) - 7 ( b -5 ) .




help please

Answers

Answer:

= −47b + 19

Step-by-step explanation:

En la última cena de los campamentos los monitores piensan servir dos perritos calientes para cada uno de los 35 niños las salchichas se venden en paquetes de 5 y los panecillos en paquetes de 6 ¿cuantos paquetes de salchichas y de panecillos tiene que comprar?

Answers

Answer:

is this question in Spanish

Divided it by 3x
please solve it fast step by step please please please!​

Answers

Answer:

x3 - 3x2 + 2 9/2

Step-by-step explanation:

there is really no way to explain this

What are two whole numbers the square root of 96 lies between ?

Answers

The two whole numbers of the square root of 96 lies between is 9 an 10

If 1≤x≤3 and 3≤y≤5. The least possible average of 1/x and 1/y is:
(A) 2/3 (B) 3/5 (C) 4/15 (D) 8/15 (E) 4 /5

Answers

Answer:

(C) 4/15

Step-by-step explanation:

Given that 1 ≤ x ≤ 3 and we need to find the least value of 1/x. The least value of 1/x is gotten by taking the maximum value of x in the interval, hence the least value of 1/x = 1/5

Given that 3 ≤ y ≤ 5 and we need to find the least value of 1/y. The least value of 1/y is gotten by taking the maximum value of y in the interval, hence the least value of 1/y = 1/3

The least possible average of 1/x and 1/y = [tex]\frac{\frac{1}{x}+\frac{1}{y} }{2} =\frac{\frac{1}{5}+\frac{1}{3} }{2}=\frac{\frac{8}{15} }{2} =\frac{4}{15}[/tex]

definition of congruence: if

Answers

Answer:

a statement that two numbers or geometric figures are congruent.

Step-by-step explanation:

Rate me please

Answer:

Definition of congruent is related to two numbers or shapes that may be equal. Congruent is like equal something can’t be congruent if it’s not equal.

Step-by-step explanation:

Craig bought 4.5 pounds of ground beef for $29.25. What is the unit price of the ground beef?

Answers

Answer:

6.5 dollars per pound

Step-by-step explanation:

Take the total cost and divide by the number of pounds

29.25 dollars / 4.5 lbs

6.5 dollars per pound

8(94) = 8(____) + 8(4)

Answers

Answer:

90

Step-by-step explanation:

8(94)

= 8(90 + 4)  Use distributive property

= 8(90) + 8(4)

Hope this helps!

Answer:

90

Explanation:

8(90) + 8(4) = 8(94) just add the numbers in the parentheses

In expanded form

8(90) = 720 8(4) = 32

720 + 32 = 752 to check

752 ÷ 8 = 94

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