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

Noah receives a $5 discount each month on his cell phone bill because he signed up for a auto pay from his bank account. Over the last 8 months ,Noah has paid a total of $280 for his cell phone bill. What would Noah be charged for his cell phone bill each month if he stopped using auto-pay?

Answers

$40 per month

You could do this two ways:

Divide 280 by the 8 months to get the original charge per month including the discount, which would be $35 per month. He would've been charged an additional $5 for every month, so add 5 to the 35 to get $40 per month.

He would've been charged an additional $5 for every month, so multiply 5 by 8 to get 40, then add that to 280 to get 320. That's how much he would've paid without the discount over 8 months. Divide that by the 8 months, and you get $40 per month.

Answer:

Step-by-step explanation:

280÷8=35+5=$40

A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be ... at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak. 2.

Answers

Answer:

concrete jungles where dreams are made of

Step-by-step explanation:

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

Step-by-step explanation:

Sample response :)

M=−8j−9k+9 solve for k?

Answers

Answer:

k= -8/9j+ -1/9m+ 1

Step-by-step explanation:

Let's solve for k.

m=−8j−9k+9

Step 1: Flip the equation.

−8j−9k+9=m

Step 2: Add 8j to both sides.

−8j−9k+9+8j=m+8j

−9k+9=8j+m

Step 3: Add -9 to both sides.

−9k+9+−9=8j+m+−9

−9k=8j+m−9

Step 4: Divide both sides by -9.

-9k/-9= 8j+m-9/-9

A car has a 16-gallon fuel tank. When driven on a highway, it has a gas mileage of 30 miles per gallon. The gas mileage (also called "fuel efficiency") tells us the number of miles the car can travel for a particular amount of fuel (one gallon of gasoline, in this case). After filling the gas tank, the driver got on a highway and drove for a while. How many miles has the car traveled if it has 10 gallons of gas left in the tank?

Answers

Answer:

30

Step-by-step explanation:

Pls help me with this question I give out 20 points

Answers

Answer:

55 dollars

Step-by-step explanation:

y = total cost, x = number of sessions attended

Non-members equation:   y = 5x              

Members equation: y = 3x + 25

y = 3(10) + 25

y = 30 + 25

y = 55 dollars

Hope this helps!

3(10) + 25
=55 dollars

State of the two triangles are congruent. if they are, state how you know.

Answers

Answer:

Both Triangle are congruent because they have equal sides (the same amount of ticks on each side) The triangles are congruent.

Step-by-step explanation:

Help meeeeee. Thank you

Answers

the answer is d) 9
9 is not a prime number

Find the value of x.
pls help will mark brainliest

Answers

2x+90=180 (consecutive interior angles supplementary) 2x=90 => x=45

PLEASE HELP!!!!!!!!!!!!!!!

Answers

The answer is C but cause -4 times -4 doesn't equal -16

an 8 inch candle burns 1/4 inch every hour. a 12 inch large candle burns 1/2 inch every hour. after how many hours will the two candles be the same height?

Answers

Answer:

69

\

Step-by-step explanation:

What is the value of

-8(17-12)
—————
-2(8-(-2) )


• -4
• -2
• 2
• 4

Answers

Answer:

2

Step-by-step explanation:

-8(17-12)

------------

-2(8-(-2)

= -8(5)

--------

-2(10)

= -40

----------

-20

Ans 2

PLEASE HELP ME ASAP I DONT WANT TO FLUNK MATH

Find the slope given these points:
(-8,4) & (-5,1)
A. -1
B. 1
C. 3/13
D. 5/13

Answers

Answer:

A:-1

Step-by-step explanation:

Gamers charges $8 to rent a video game. The Discount Club charges $4 to rent a video game after a membership fee of $10 is paid. For what number of video game rentals is Gamers less expensive than Discount Club? Write an inequality that represents this situation. (do not solve) How did you determine which inequality symbol to use for the situation?

Answers

Answer

8x>10+4x  for x=>3

Just two games.

for the third game you would have paid $24 in total

Step-by-step explanation:

Given that

gamers charge $8

Discount Club charges $4 after  a membership of $10

total for the Discount club is given by the expression

let x be the number of games rent

Y=10+4  

So at the first rent, you will pay Discount Club

$14 and the second rent you would have spent

14+4= $18

and the third rent you would have spent

18+4= $22

the inequality is given as

for x=>3

8x>10+4x

For what values of [tex]x[/tex] is the product [tex](x+5)(x-1)[/tex] positive? Explain.

Answers

Answer:

[tex]x<-5\text{ or } x>1[/tex]

Step-by-step explanation:

We have:

[tex](x+5)(x-1)[/tex]

And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:

[tex](x+5)(x-1)>0[/tex]

Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:

[tex](x+5)(x-1)=0[/tex]

Zero Product Property:

[tex]x+5=0\text{ or } x-1=0[/tex]

On the left, subtract 5.

On the right, add 1.

So, our zeros are:

[tex]x=-5, 1[/tex]

Since our inequality is a greater than, our answer is an "or" inequality with our answer being all the values to the left of our lesser zero and all the values to the right of our greater zero.

So, our solution is:

[tex]x<-5\text{ or } x>1[/tex]

And we're done!

Answer:

The regions where (x+5) (x-1) >0 is x< -5  or x>1

Step-by-step explanation:

(x+5) (x-1) >0

First find the zeros

(x+5) =0    x-1 =0

x= -5      x=1

We then have to check the regions

x< -5              -5 <x<1                  x>1

First x< -5

(x+5) (x-1)

X+5 will be negative  ( x-1) will be negative

(-) * (-) = +  so the values will be positive

Then     -5 <x<1      

X+5  will be positive   ( x-1) will be negative

( +) * (-)  will be negative

First x>1

(x+5) (x-1)

X+5 will be positive  ( x-1) will be positive

(+) * (+) = +  so the values will be positive

The regions where (x+5) (x-1) >0 is x< -5  or x>1

Solve: -(6x+ 8) = 4(17 - x) *

Answers

Answer:

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

x = − 38

Step-by-step explanation:

Answer:

−38

Step 1: Simplify both sides of the equation.

−(6x+8)=4(17−x)

−6x+−8=(4)(17)+(4)(−x)(Distribute)

−6x+−8=68+−4x

−6x−8=−4x+68

Step 2: Add 4x to both sides.

−6x−8+4x=−4x+68+4x

−2x−8=68

Step 3: Add 8 to both sides.

−2x−8+8=68+8

−2x=76

Step 4: Divide both sides by -2.

−2x−2=76−2

x=−38

22x^3 y^4+28x^2 y^5+34xy^4

Answers

Answer:

 2xy4 • (11x2 + 14xy + 17)

Step-by-step explanation:

(((22•(x3))•(y4))+((28•(x2))•(y5)))+(2•17xy4)

(((22•(x3))•(y4))+((22•7x2)•y5))+(2•17xy4)

 (((2•11x3) • y4) +  (22•7x2y5)) +  (2•17xy4)

5.1     Pull out like factors :

  22x3y4 + 28x2y5 + 34xy4  =   2xy4 • (11x2 + 14xy + 17)  

Trying to factor a multi variable polynomial :

5.2    Factoring    11x2 + 14xy + 17

Final result :

 2xy4 • (11x2 + 14xy + 17)

Identify the domain and range of the following function:
{(8,7),(4,9),(0,0),(1,17)}

Answers

Answer:

Domain: 8,4,0,1

Range: 7,9,0,17

find the value of a

Answers

Answer:

45

Step-by-step explanation:

81° + a° + 2a° = 180°

81° + 3a = 180°

3a = 180 - 81

3a = 99°

a = 99 ÷ 3

a = 33°

Therefore , a = 33° .

Amber is traveling to he mom's house. The scale on the map is 2 inches=10 miles. She knows her mom lives 40 miles away. How far would that be on the map?

Answers

8 inches on the map. To approach this problem, just set up a proportion:

2in =10 mi x in =40 mi.

If we use that to set up an equation we get

80 =10x.

Solve that, you get 8.

Hope this helps, let me know if you need more help.

is the following graph a function?

A. yes
B. no​

Answers

Answer:

Yes

Step-by-step explanation:

You can use the Vertical line test to figure this out, and sure enough none of the points touch the vertical line.

The answer for this question is yes

in the expression of (x + 1)^n, the coefficient of the x^3 term is two times the coefficient of the x^2 term. Find the value of n.

Answers

According to Khayyam-Pascal triangle ,

the value of n is 8.

[tex] look \: \\ \\ {(x + 1)}^{8} = {x}^{8} + 8 {x}^{7} + 28 {x}^{6} + 56 {x}^{5} + 70 {x}^{4} + 56 {x}^{3} + 28 {x}^{2} + 8x + 1 \\ \frac{56}{28} = 2 [/tex]

Recall the binomial theorem:

[tex](a+b)^n=\displaystyle\sum_{k=0}^n\binom nk a^k b^{n-k}[/tex]

where

[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]

is the binomial coefficient. So

[tex](x+1)^n=\displaystyle\sum_{k=0}^n\binom nk x^k[/tex]

The x² term occurs for k = 2, which has coefficient

[tex]\dbinom n2=\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2[/tex]

The x³ occurs for k = 3, with coefficient

[tex]\dbinom n3=\dfrac{n!}{3!(n-3)!}=\dfrac{n(n-1)(n-2)}6[/tex]

The latter coefficient is twice the other one, so that

[tex]\dfrac{n(n-1)(n-2)}6=2\cdot\dfrac{n(n-1)}2[/tex]

Solve for n :

[tex]\dfrac{n(n-1)(n-2)}6=n(n-1)[/tex]

[tex]n(n-1)(n-2)=6n(n-1)[/tex]

[tex]n-2=6[/tex]

[tex]\boxed{n=8}[/tex]

EXTRA POINTS * how do you graph y=2x + 1

Answers

Step-by-step explanation:

first u need to pick a random coordinate to substitute the X . example 0

y = 2(0) + 1

y =1 , X= 0

X= 1

y= 2(1) + 1

y= 3, X= 1

then you continue this same process and again until u have at least two points to draw a straight line. it kinda depended if u want to fill the entire graph.

I dont quite understand how to do this​

Answers

Answer:

10

Step-by-step explanation:

substitute -3 in for x

f(-3)=(-3)²+1=

9+1=10

(You can ignore the g(x) part - it has nothing to do with this question.)

For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water. How many milliliters does the mixture contain?

Answers

Answer:

12.55 milliliters

Step-by-step explanation:

0.25+12.3=12.55

Good luck!

The  mixture contains 12.55 milliliters.

What is Equation?

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

Given that For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water.

we need to find the amount of  milliliters does the mixture contain.

Add twelve point three plus zero point two five.

12.3+0.25

 12.30

+  0.25

_______

12.55

Hence, the  mixture contains 12.55 milliliters.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ3

if 3(x+1)=7 find the value of 3x

Answers

Answer:

3x=4

Step-by-step explanation:

3x+3=7

3x=4

Solve the equation to find the value of a.
✓ 4a + 5 = 7

Answers

Answer:

0.5

Step-by-step explanation:

4a+5=7

4a=7-5

4a=2

a=2/4

Answer:

a = 1/2

Step-by-step explanation:

4a + 5 = 7

4a = 2

a = 1/2

F(x)=-4x+3 vertical translation of 5 units down

Answers

Answer:

Gigi Jojo Jojo hip-hop Dutch him

so do Cob zoom from chick dunno drink gum

Step-by-step explanation:

hjjjhb. bjkn

jkk.

hj. hm.

gin

ghb.

8vb.

ucnluh itg.hboy

will mark brainliest

Answers

88 degrees.

Total measure of triangle's angles is 180 degrees.

angle <2 and 42 degrees are corresponding so <2 is also 42 degrees.

50 + 42 = 92.

180 - 92 = 88 degrees

If this helped, please mark branliest.

help pleaseeeeeeeeeeeeee now

Answers

Answer: per 1 ticket sold it costs 10 dollars

Step-by-step explanation:

1 and ten meet on the graph constantly

If 4 is added to double the number n, the result is the same as
if n were quadrupled. What is the value of n?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10

Answers

I think it’s A because 4*2 is 8 and if n were quadrupled it would be 2

Answer:

A) 2

Step-by-step explanation:

For this problem, you can create an equation.

2n+4=4n

Then, divide by 2.

n+2=2n

Finally, subtract n from both sides.

2=n

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