A scale drawing of a school bus has a scale of 12 inch to 5 feet. If the length of the school bus is 412 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning.​ A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing? Explain or show your reasoning.

Answers

Answer 1

Answer: Actual length of the bus = 171.67 feet

Width of the lake on the scale drawing = 12.5 inches

Step-by-step explanation:

Given : A scale drawing of a school bus has a scale of 12 inch to 5 feet.

i.e. 12 inch = 5 feet

[tex]\Rightarrow \text{ 1 inch}=\dfrac{5}{12}\text{ feet}[/tex]

If length of school bus on scale drawing = 412 inches

Then, Actual length of bus = [tex]\dfrac{5}{12}\times412=171.67\ \text{feet}[/tex]

A scale drawing of a lake has a scale of 1 cm to 80 m.

If the actual width of the lake is 1,000 m

then, the width of the lake on the scale drawing = [tex]\dfrac{1000}{80}=12.5\text{ inches}[/tex]


Related Questions

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A Dog grooming service takes care of dogs by giving dogs (d) a bath, (b) (Some dogs don't require a bath) cutting its nails (n)( Assume a nail can only be cut partially and cutting their hair H (Measured as a weight in pounds )
6) Which set of numbers best describes the value of the variable? Choose the most specific value.d(# of dogs)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real
7)Which set of numbers best describes the value of the variable? Choose the most specific value.b (number of baths)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real
8) Which set of numbers best describes the value of the variable? Choose the most specific value.n (number of nails cut. Assume only part of a nail can be cut)
a)natural
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a)natural
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Answers

Answer: (6) a      (7) b     (8) d     (9) d

Step-by-step explanation:

a) Natural Numbers:            1, 2, 3, ...

b) Whole Numbers:          0, 1, 2, 3, ...     (add zero to the Natural numbers)

c) Integers:   ..., -3, -2, -1, 0, 1, 2, 3, ...   (add negatives to the Whole numbers)

d) Rationals: Add terminating and repeating decimals to Integers.

************

e) Irrationals: Non-repeating decimals that are non-terminating.  This is its own category so cannot be a Rational number or above.

f) Real Numbers: ALL of the above (a - e) are Real numbers.

6) The variable (d) represents the number of dogs.  You cannot have a fraction of dog (rational), a negative number of dogs (integer), or zero dogs (whole) so the variable will be a NATURAL number.

7) The variable (b) represents the number of baths. You cannot have a fraction of a bath (rational), a negative number of baths (integer), but you can have zero baths so the variable will be a WHOLE number.

(8) The variable (n) represents the number of nails.  You can have a fraction of a nail so the variable will be a RATIONAL number.

(9) The variable (h) represents the number of pounds of hair.  You can have a fraction of a pound so the variable will be a RATIONAL number.

Write the equation of the line slope-intercept form that is parallel to y=-2x-9 and contains (4,-3)
A. y=-2x-11
B. y=-2x+5
C. y=-2x+11
D. y=-2x-11​

Answers

Answer:

a

Step-by-step explanation:

Alicia drove at a constant speed and traveled 182.4 miles in 3 hours. what is her rate in miles per hour

Answers

Speed = distance / time

Speed = 182.4 / 3

Speed = 60.8 miles per hour.

a clay model of a new car is 7 in. long if the car is 21 ft long how could you find the scale used to make the model

Answers

Answer:

The scale model = 1 :36 or 1 to 26

Step-by-step explanation:

A clay model of a new car is 7 in. long if the car is 21 ft long

Note that:

1 foot = 12 inches

21 foot =

Cross Multiply

21 foot × 12 inches

= 252 inches

Therefore, the scale =

7 inches : 252 inches

1 : 36

what expression is equivalent to 6(3+0.5)

A.6(3)+0.05
B.(6+3)+(6+0.5)
C.6(3)+6(0.05)
D.6(3)x6(0.05)

Answers

the answer is d , i did the math

HELP ME PLEAAASEEEEEEEEE
YEA ITS ME AGAIN I NEED HELP

Answers

Answer:

B. 4/3 hours

Step-by-step explanation:

because in smart

Write a positive or negative integer that represents the situation.

An airplane climbs to 37,500 feet.

Answers

Positive 37,000 feet.

Step-by-step explanation:

Given f(x) = 7x − 2 , what is the value of f(2) ?

Answers

Answer:

7(2)-2

=14-2

Which makes it

=12

Simplify the radical 3sqrt16a

Answers

Answer:

4a⋅ x/ae

Step-by-step explanation:

Are these expressions equivalent? Explain why or why not 42+35 7(6+5)

Answers

Answer:

yes, they are equivalent

Step-by-step explanation:

solving each expression fully, you will find that both are equal to 77

Answer:

They are equivalent.

Step-by-step explanation:

7⋅11⋅13+13and7⋅6⋅5⋅4⋅3⋅2⋅1+5 are composite numbers.

Topic 2
SEQUENCES
B. Determine the next 3 terms in each arithmetic sequence
8, 14, 20, 26,

Answers

Answer:

The next three term in the arithmetic sequence is 32, 38, and 44

Step-by-step explanation:

The arithmetic sequence is add 6.

if B is the midpoint of AC, and AC = 8x-20, find BC

3X-1

Answers

Answer: 26
3(9)-1= 26
Solving steps for x:

What is the next term in the sequence.
5, 8, 11, 14,...

Answers

Answer:

17

Step-by-step explanation:

Answer/explanation:

This are the next terms 17,20,23,26,29,32.

if the temperature was 55 degrees Fahrenheit and later on it was -13 degrees Fahrenheit whats the difference??

Answers

Answer:

68

Step-by-step explanation:

It just it

Answer:

68°F

Step-by-step explanation:

55 degrees minus -13 degrees is 68, the difference is 68 degrees Farenheit.

srry I meant 68

Christine has a rope that is 9 meters long. She cuts away a plece that is 3.29 meters long. How long is the remaining plece of rope?

Answers

Answer:

9.00-3.29= 5.71 meters rope remaining

5.71 rope remaining :) hope this helps

The cost to rent a construction crane is $1200 per day plus $150 per oh use. Your budget for one-day crane rental is a most $3600

Answers

1200 + 150 = 1350 (if one day and one use)

Budget is 3600

We can use the crane 16 times

Explanation:

Budget is 3600 and 1200 + 150 (16) = 3600

Alyssa's company makes a profit of $175,000.
The company then experiences a loss of
$25,000 each month for the next five months.
Which expression represents the net profit
after five months?

Answers

So the initial profit is 175000
If it falls by 25000 per month, this is 25000m
175000-25000m
(Insert the 5)
175000-25000(5)= 50,000

So the net profit after 5 months is $50,000

Hope this helps!

SOMEBODY HELP!

MY MATH IS DUE TOMORROW HELP ME AND PLEASE EXPLAIN YOUR WORK


Label each of the parts: terms, like terms, coefficients, and constant
terms.

9 + 7y - 2 - 5y

Answers

Answer:

= 7 + 2y.

Step-by-step explanation:

Collect like terms.

(9 − 2 ) + (7y − 5y )

Simplify.

= 7 + 2y.

Hope this helps.

Have a good night ma'am/sir.

Be safe!

What is an equation of the line that passes through the points (-5,1) and (5,5) ? Put your answer in fully reduced form.

Answers

Answer:

y=  (2/5)X +3  

Step-by-step explanation:

when you connect the 2  points the line intercepts  at 3 in the y coordinate

Grab a piece of  graph paper , and plug   the points and connect them

Starting at-5,1  count 2 up 5 right,  2 up 5 right..........

When you  reach y coordinate you are at 3

The slope is 2/5  y-intercept is 3

This Equation has only one solution 5(x-1) +3x = 7(x + 1) its an emergancy

Answers

Answer:

12

Step-by-step explanation:

5(x-1) +3x = 7(x + 1)

5 × x - 5×1 + 3x = 7 × x + 7 × 1

5x-5+3x=7x+7

8x-5=7x+7

8x-7x=7+5

x=12

hope it helps you!!

A recipe that yields 12 cups of soup calls for 28 ounces of beef broth. How many ounces of beef broth do you need to make 18 cups of the soup?

Answers

Answer:

42 ounces.

Step-by-step explanation:

First, divide the 28 ounces by the 12 cups. You would then have 2.33333333333 ounces of beef needed for one cup of soup. Then, you would multiply that by 18, and you would get 48.

What is the volume of the toy car that has a density of 3 g/mL and a mass of 75 g.

Answers

225 mL

75/x = 3/1 g/mL

Answer:

25 mL

Step-by-step explanation:

m/D=V

75g/3 g/mL = V

25mL =V

5x-4 ≥12 or 12x+5 ≤-4

Answers

it should be 4.5 if that it what I am thinking about , I did the same question the other day

Answer:the answer is in fact 3/4

Step-by-step explanation:

-9 ration or irrational

Answers

Answer:

this is rational

Step-by-step explanation:

Explain how to multiply two numbers with different signs.

Helpppp

Answers

Answer:

number 1. 6x6, number 2. 6*6, number 3. 6.6

Step-by-step explanation:

HURRY PLEASE!! :(
Find c(8) in the sequence given by c(n) = 20 – 17(n − 1)

Answers

20-17(8-1)
20-17(7)
20-119
Answer
-99

In which situation is the distance traveled proportional to time?


A. An airplane landing


B. A soccer ball you kick across a field


C. A person running on a treadmill at 3 mph for 6 minutes


D. A 3-minute ride on a roller coaster

Answers

Answer:

c

Step-by-step explanation:

At the beginning of the season, Jamie pays full price for a ticket to see the panthers, her favorite basketball team. The panthers currently have 33 wins and 31 losses. Represent the total change in the cost of a ticket given their losses. What is the cost of a ticket for the next game they play

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that the price of the ticket at the beginning of the season is $49.64 and the ticket price decrease by $0.41 for every loss

a) The cost of the ticket decreases by $0.41 for every game loss, therefore after 31 losses, the change in cost of ticket is given as:

Change in cost = -$0.41 × number of losses = -$0.41 × 31 = -$12.71

b) The cost of a ticket for the next game given they have 31 losses is:

Cost of ticket = Initial cost of ticket + change in cost = $49.64 - $12.71 = $36.93

mary bought a blouse and a pair of jeans for 38.50 if jeans cost 12.50 more then the blouse how much did she pay for the jeans

Answers

Answer:

Blouse = $13.00

Jeans = $25.50

Step-by-step explanation:

x = blouse

y = jeans

x + y = 38.5

y = x + 12.5

Use substitution:

x + x + 12.5 = 38.5

2x = 26

x = 13

Blouse = $13.00

Jeans = $25.50

The price of  Blouse is $13.00 and price of Jeans is $25.50.

What is Equation?

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

Let x represents the price of blouse and y represents the price of jeans.

mary bought a blouse and a pair of jeans for 38.50

x+y=38.5

jeans cost 12.50 more then the blouse

y=12.5+x

We need to find the price of jeans.

Substitute y value in above equation.

x + x + 12.5 = 38.5

Add the like terms

2x+12.5 = 38.5

Subtract 12.5 on both sides

2x = 26

Divide both sides by 2

x = 13

Hence, the price of  Blouse is $13.00 and price of Jeans is $25.50.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ3

Please, this is due tomorrow!!! Boyle's Law in chemistry states that when the temperature is constant, the pressure of a gas is inversely proportional to its volume. Let p represent the pressure, and let V represent the volume of the gas. At a certain temperature, V = constant/p. By what factor does the volume of the gas change if the pressure changes by each given factor?
a. 2
b. 3
c. 4
d. 5

Answers

Cuñada mela uva dulula
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