Vince made a scale drawing of the middle school. He used the scale 5 inches : 8 feet. If the gym is 45 inches wide in the drawing, how wide is the actual gym?

Answers

Answer 1

Scale drawings are used to show an actual image using lesser dimensions.

The width of the actual gym is 72 feet

The scale is given as:

[tex]Scale = 5\ inches : 8\ feet[/tex]

Represent the width of the actual gym with w, so, we have the following equivalent ratio

[tex]45\ inches : w = 5\ inches : 8\ feet[/tex]

Cancel out the common units

[tex]45: w = 5: 8\ feet[/tex]

Express as fraction

[tex]\frac{45}{w} = \frac{5}{8\ feet}[/tex]

Cross multiply

[tex]5w = 45 \times 8\ feet[/tex]

Divide both sides by 5

[tex]w = 9\times 8\ feet[/tex]

[tex]w = 72\ feet[/tex]

Hence, the width of the actual gym is 72 feet

Read more about scale drawing at:

https://brainly.com/question/14934768


Related Questions

7 grade math hellp me

Answers

Answer:

P=25

Step-by-step explanation:

please help me!

ty :)

Answers

Answer:

slope: -4

Step-by-step explanation:

the formula to finding slope using two points is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

so insert the x- and y- values into the formula. you'll get:

[tex]m=\frac{-11-9}{3-(-2)}=\frac{-20}{5}=-4[/tex]

What is the value of x?

A. 73°
B. 71°
C. 70°
D. 68°

Answers

We have: 540° = 180° - x° + 180° - 52° + 93° + 180° - (x+3)° + 180° - 78°

⇒ 2x° = 140° ⇒ x° = 70°

The answer is C. 70°

ok done. Thank to me :>

can someone help me
question down below

Answers

Answer:

N||M, K||J

Step-by-step explanation:

N and M are both parallel to each other and || symbolizes that, same goes for K and J

Which is 5log x - 6log (x - 8) written as a single logarithm?

Answers

Answer:

log[x⁵/(x-8)⁶]

Step-by-step explanation:

5log(x) - 6log(x-8)

log(x⁵) - log((x-8)⁶)

log[x⁵/(x-8)⁶]

find the slope of the line that passes through the pair of points (3,-5), (-4,1)

Answers

Answer:

-6/7

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 1 / 3 - -4

-6 / 7

the formula to find the curved surface area of the cone

Answers

Step-by-step explanation:

the formula for finding curved surface area of the cone is is pi ×r ×l

the pentagons ABCDE and JKLMN are similar find the length x of JK

Answers

the second shape is double the first so you would do AB = 2 and then times by 2 as its double and you will get 4
answer = 4

Answer:

x = 4

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )

x = 4

Find the equation of the line with slope of 2 passing through (3,1)

pplleeaassee

Answers

The equation of the line is y-2x+5=0 I believe. Good luck :)

Jeremiah and Cassie went to dinner. Jeremiah’s meal was $25 and Cassie’s was $23. They each got a Pepsi for an additional $3.25. If they planned to leave a 15% tip for their waiter, how much should they leave?

Answers

Answer:

8.175$

Step-by-step explanation:

If we do 23+25+(3.25)×2

The sum of all the bought

It will equal to 54.5

So if we do as the waiter planned

We must to 54.5×15%=8.175$

What time is four past eight at night

Answers

Answer:

8:04 pm

Step-by-step explanation:

Answer:

8:04

Step-by-step explanation:

8 o'clock and four minutes past 8 is 8:04.

I need help please!!!

Answers

Answer:

x=1

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. In this equation, the AOS is x=1

Brainliest would be appreciated! :-)

Another way to find the AOS, is by looking at the f(x) function, the last number will always be the AOS.

Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d

Answers

Answer:

40-d

Step-by-step explanation:

Which expression is equivalent to − 7 x + 6 ( x − 8 2 ) − 2 ( x + 3 ) + 10 ? A. − 3 x + 40 B. − 15 x − 20 C. − 3 x − 20 D. 15 x + 40

Answers

Answer: D i think

Step-by-step explanation:

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

Simplify the expression, then we have

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

⇒ − 7x + 6x − 24 − 2x − 6 + 10

⇒ − 3x − 20

⇒ − (3x + 20)

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ5

Find the area of the shape shown below.

Answers

Answer:

28

Step-by-step explanation:

The graph of y=f(x) is shown below. Find all values of x where f(x)=5

Answers

Answers:   -6 and -4

=======================================================

Explanation:

Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.

This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6

This shows that f(-4) = 5 and f(-6) = 5.

Phrased another way: the points (-4,5) and (-6,5) are on the parabola.

Pls help!!!!!!!!!!!!!

Answers

Answer:

eat tacos until you bloat

Step-by-step explanation:

AHAHAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH MAMAMAMAMAMAA

3. Solve for side length BD
A
31
D
13 cm
I
47
C
B

Answers

Answer:

A

Step-by-step explanation:

this is beacuse of the ? mark!

Glad this will help

Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3

Answers

Answer:

[tex]y=10x+24[/tex]

Step-by-step explanation:

Find the derivative of the function

[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]

Determine the slope of p(t) at t=3:

[tex]p'(3)=6(3)-8=18-8=10[/tex]

Find p(3):

[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]6=10(3)+b[/tex]

[tex]6=30+b[/tex]

[tex]-24=b[/tex]

Final equation:

[tex]y=10x-24[/tex]

Is this correct? And if it is, what's the solution?

Answers

Answer:

No the graph is not correct.  The point of intersection is (-3, 4)

Points on line y = x + 7  are  (-3, 4)  (0, 7) and (2, 9)

Points on line y = -1/3x +3  are (-3, 4) (0, 3) and (-6, 5)

Step-by-step explanation:

y = x + 7              do not change

y = -1/3x + 3        substitute into the top equation and solve for x

-1/3x + 3 = x + 7

       -3  =      -3    

-1/3x    =   x + 4  

- x      =   -x        

-1  1/3x =   4

 - 4/3x  = 4            Changed -1 1/3x to -4/3x

   x    =  4/ -4/3

  x =  -3

  y = x + 7

  y = -3 + 7

 y = 4                         Point of intersection is (-3, 4)  

 

FREE BRAINLESS THE FIRST PERSON WHO ANSWER THIS
leo spends $5 per week on music. write an equation that equation that determines the dollars spend D per week.
A. d=5w
b. d=5+w
c. w=5d
d. w=5+d

Answers

ANSWER: C

EXPLANATION

you’re multiply they amount of mint by the number of weeks

Hope this help :)

The rainfall recorded in a certain city is given below. Calculate the average rainfall. 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm and 4.34 cm.
if you answer then i will mark you brainliest!!!

Answers

Answer:

3.4 cm

Step-by-step explanation:

average is the sum of all the values then divided by the number of values.

The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.

The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.

Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.

Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm

Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm

Therefore, the average rainfall for the given values is 3.40 cm.

To know more about average here

https://brainly.com/question/130657

#SPJ2

x - 9 = 1/4x + (1/4x + 12) +(1/4x - 3)

Answers

Answer:

x=72

Step-by-step explanation:

x-9=3/4 ⋅ x+9

1/4 ⋅ x -9=9

1/4⋅x=18

x=72

The following function represents the value of a car, in dollars, after x years: f(x) = 24,000(0. 92)x What does 0. 92 represent? The present value of the car The value of the car after x years The decrease in the value of the car, which is 92% The decrease in the value of the car, which is 8%.

Answers

0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.

Given :

The given function represents the value of a car, in dollars, after x years.[tex]f(x)=24000(0.92)x[/tex]

The following steps can be used in order to determine what does 0.92 represents:

Step 1 - Write the given function.

[tex]f(x)=24000(0.92)x[/tex]

Step 2 - In the given function $24000 represents the original value of the car.

Step 3 - According to the given data, 'x' represents the number of years.

Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/5245372

Cheryl is sailing on Lake Superior. A shipwreck lies below her and its location is represented by a negative amount. A helicopter is flying above her and its location is represented by a positive amount. The shipwreck is a greater distance from Cheryl than the helicopter. Which expression could represent a comparison of the possible absolute values of the shipwreck and helicopter?

A) |–125| < |45|
B) |–98.5| < |23.7|
C) |–174.6| > |204|
D) |–362.5| > |45.8|

Answers

Answer:

D

Step-by-step explanation:

To solve this, we can go through each answer and see if it is correct.

A)

|–125| < |45|

When comparing absolute values, and the absolute value signs (the | lines) are only around one number, we can ignore the negative. Thus, we have

125 < 45

125 is greater than 45, so this is false

B)

|–98.5| < |23.7|

98.5 < 23.7

98.5 is greater than 23.7, so this is false

C)

|–174.6| > |204|

174.6 > 204

174.6 is less than 204, so this is false

D)

|–362.5| > |45.8|

362.5 > 45.8

362.5 is greater than 45.8, so this is true

what would the algebraic expression be for the product of 3 and x increased by 20

Answers

Answer:

3x + 20

Step-by-step explanation:

Product is for multiplication therefore, the product of 3 and x is 3x.

increased = addition

Overall, the product of 3 and x increased by 20 is 3x + 20.

Find the 12th term of the following geometric sequence.
10, 30, 90, 270

Answers

Answer:

1,771,470

Explanation:

10(3^n-1)

let f(x)=5x+5 find f(-1)

I need your help with this. please help me​

Answers

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

Julie estimated her town's population at 77,500. The actual population of her town is 75,000,
Find the percent error.

Answers

Answer:

3.3%

Step-by-step explanation:

77500-75000=2500

2500/75000 x100=3.3%

14. Complete the table below to represent y = 0.25x + 3.
Then draw a graph to represent the relationship between
the x and y-values.

Answers

Answer: 3 is the y intercept; so it will touch the y axis at 3, and 0.25 is the slope of the line

Step-by-step explanation:

go to desmos. com/calculator and put that equation, if you are having a hard time visualizing it.

Other Questions
the first white house cats, tabby and dixie, were pets of which president? i need help btw im 6th grader You are trying to show that two triangles are similar. Which of the following statements can help you establish similarity?A) The sum of the side lengths of every triangle is always the same.B) Dilating a triangle does not change the measurements of the triangle's angles.C) Applying a rigid transformation to a triangle changes the triangle's angle measures.D) Triangles with at least one set of congruent angles must be similar. Was the wars impact on the native americans good or bad pls explain this is important Please explain the health principles that are practiced by Rastafarians in Trinidad and Tobago and how this information prepares you as a nurse to better serve this community. Write the slope-intercept form of the equationof the line through the given point with thegiven slope.17) through: (-5, -3), slope5 A) y = x - 2B) y=1/5x - 2C) y = -x - 2D) y=-3x - 2 how to get electivire in pokemon brilliant diamond What is 3 divided by 7 pretty confused since I was on break for a long time what country is home to the worlds oldest continuously-operating business? Thaddeus is eighty-two years old and lives by himself in his rent-stabilized apartment. He is on a fixed income and has no family. He purchased a set of premium cast-iron cooking pots after meeting Henry, a salesperson, at the supermarket. Thaddeus signed the contract in the coffee shop next door after the two men left the supermarket. The cooking pot set cost $2,400 and is payable in 24 equal monthly installments. The same set retails for $1,000 elsewhere. The next day, Thaddeus decides that he cannot afford the cooking pot set. a. The circumstances surrounding the transaction would be considered by the court, including the bargaining power of the parties. b. The doctrine of unconscionability would probably allow Thaddeus to be released from his obligation. c. The contract unreasonably favors Henry. d. All of the above. On a separate sheet of paper, graph the function. In the answer box, describe the function.f(x) = {-5x+2 if x 22x - 2 if x 22Please type your explanation (no links). Find the perimeter of the shape below: HELLPP ILL GIVE BRAINLIEST 137x723+462x50=?do yall think its ok for your girl to k.i.s.s. other people?and would yall let it slide and think it was a joke? 1. How do political parties help educate the public about major issues? How do they assist in the operation of the government? the 200$ camera was on sale 15% off what was the price susan wrote the recursive formula for the sequence represented by the exploit formula An=3+2n. put an C net to any correct statements are correct her error Which feature of a balanced chemical equation demonstrates the law ofconservation of mass?O A. It has the same types of atoms on both sides of the reactionarrow.O B. It shows the reactants of a chemical reaction to the left of thereaction arrow.O C. It has coefficients to show how much of each substance achemical reaction uses.ThingD. It shows the products of a chemical reaction to the right of thereaction arrow. can someone please help?! What conclusion can be drawn based on AT.