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:

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Related Questions

i will make you brainliest

Answers

Answer:

The time in Auckland, New Zealand in the 12+ time zone: 21:00

The time in Athens, Greece in the +2 time zone:  22:00

The time in Trinidad in the -4 time zone:  05:00

The time and date in Chicago in the -6 time zone: 02:00 2016-10-19

The time and date Bangkok in the +7 time zone: 11:00 2016-10-20

The time and date in Greenwich: 06:00 2016-10-29

The time and date in Abu Dhabi in the +4 time zone: 30:00 2016-10-30

The time and date in a country in the +12 time zone: Uzbekistan 23:00 2016-11-02

The time and date in a country in the -12 time zone: Brazil 23:00 2016-11-01

The time and date in Honolulu located in the -10 time zone: 01:00 2016-11-02

When the time in Sri Lanka is 09:30 on 2017-05-02, find the time and date in Los Angeles located in the -8 time zone in the USA. 01:30 on 2017-05-02

(These are the answers i calculate i am not sure if they are fully correct)

Noice my guy (20 char limit)

What is the result of 3 divided by three-fifths?

Answers

[tex]\dfrac{3}{\tfrac 35} = 3 \times \dfrac 53 = 5[/tex]

Answer:

5

Step-by-step explanation:

3 -> [tex]\frac{3}{1}[/tex]

Method is "Keep, Change, Flip"

[tex]\frac{3}{1} / \frac{3}{5} =\frac{3}{1} * \frac{5}{3} = \frac{15}{3} = 5[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

An athlete trains by swimming 3/5 miles in 1 day.

Which expression shows how many miles he would swim in 7 days?

Answers

Answer:

3/5 x 7

Step-by-step explanation:

The athlete swims 3/5 miles per day, and in 7 days, he swims the amount of 3/5 per the swimming session he does, so it will be 3/5x7.

Determine the measure of the angles.

Answers

Answer:

121 for both

Step-by-step explanation:

if we split the shape in the middle, we get two congruent triangles.

divide each angle by 2, and you will get 24 and 35.

The rule of angles within a triangle is that all of them must equal 180.

so

180-(24+35)

180-59

=121 degrees for both k and m

:)

Answer:

The answer is 121 for both k and m!! Hope this helps

Step-by-step explanation:

Add 70 and 48 which is 118 then subtract it to 360(always) which is 242 then divide it by 2 since theres 2 sides which you get 121

hlo preparation for exam help with this question?? °_*!
If p/q=q/r then prove that
p3+q3+r3=(1/p3+1/q3+1/r3)p2q2r2 ​

Answers

Hope you could get an idea from here.

Doubt clarification - use comment section.

The equation [tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex] has been proved to be true

The equation is given as:

[tex]\frac pq = \frac qr[/tex]

Cross multiply

[tex]pr = q^2[/tex]

Rewrite as:

[tex]q^2 = pr[/tex]

Also, we have:

[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex]

Substitute [tex]q^2 = pr[/tex]

[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^3r^3[/tex]

Expand

[tex]p^3+q^3+r^3=\frac{1}{p^3} \times p^3r^3 +\frac{1}{q^3} \times p^3r^3 +\frac{1}{r^3} \times p^3r^3[/tex]

Simplify

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times p^3r^3 + p^3[/tex]

Rewrite as:

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (pr)^3 + p^3[/tex]

Substitute [tex]pr = q^2[/tex]

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (q^2)^3 + p^3[/tex]

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times q^6 + p^3[/tex]

Divide q^6 by q^3

[tex]p3+q3+r3=r^3 +q^3 + p^3[/tex]

Rewrite the equation as:

[tex]p3+q3+r3=p^3 +q^3 + r^3[/tex]

Hence, the equation has been proved

Read more about equations at:

https://brainly.com/question/13729904

can someone help with this ​

Answers

Answer:

B and C

Step-by-step explanation:

Which equation shows the correct factors for the quadratic equation 24x2 - 15 = 54x?
3x (8x + 5) = 54x
3 (2x + 5) (4x - 1) = 0
3 (8x2 - 5) = 54x
3(2x - 5) (4x + 1) = 0
3(2x - 5)(4x - 3) = 0​

Answers

The second equation is correct answer

Answer:24x^2_54x_15=0

(12X +3 ) ( 2X _5 ) . = O

12x +3 =0

X= - 1/4

or

2x _ 5=0

X = 5/ 2

PlZ HELP
fill in the blanks ​

Answers

Answer:

3*(8-5)=(3*8)-(3*5)

Answer:

I think it would be 3x(8-5)=(3x6)-(3x3)

Step-by-step explanation:

This is because if you answer the left side of the equation, it would be 9:

3x(8-5)

(8-5=3)

then 3x3=9

and on the right side of the equation, if you plug in 6 and 3 + solve the equation you would get 9:

(3x6)-(3x3)

18-9

=9

so all together it would be 9=9 which is true

meaning that the numbers 6, and 3 are the numbers you use to fill in the blanks (this is only one of the possible answers, there are many more!)

Not sure if all calculations are correct, but I hope this helps! :)

The top row contains solutions for the value of c. The bottom row contains equations that must be solved to find c. Drag each solution into the box with the matching equation.

7


20


12


9


c is 4 times as many as 5.


27 is c times as many as 3.


6 times as many as c is 72.


8 more than c is 15.
which one is it??

Answers

1. c is 4 times as many as 5 = 20
2. 27 is c times as many as 3 = 9
3. 6 times as many as c is 72 = 12
4. 8 more than c is 15 = 7
Pls give me the brainliest if these are right. Hope this helps

HELP ASAP PLZ
just answer the blanks ​

Answers

Answer:

i hope this helps!

Step-by-step explanation:

Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super savings coupon of 45%, how much did Ms. Rowlen pay for the tv?

Answers

Answer:

142.55

Step-by-step explanation:

What is 5 rounded to the nearest whole number, explain why

Answers

Answer:

The answer is 10

Step-by-step explanation:

It is

solve the following equation ​

Answers

Answer:

X= -1/3 or 4

Step-by-step explanation:

Answer:

x =-1/3 and x=4

Step-by-step explanation:

solve by factoring:

separate into two equations:

3x+1=0

8-2x=0

(when the products of factors equals zero, at least one factor is zero)

3x=-1

x=-1/3

-2x=-8

x=4

4x^2+8x-12 in vertex form

Answers

The answer in vertex form is y=4(x+1)^2 -16

Answer:

y = 4 (x + 1)² - 16

Step-by-step explanation:

Step 1: Equation at the end of step 1

(2²x²+8x)-12

Step 2:

Step 3: Pulling out like terms

Pull out like factors :

4x² + 8x - 12  =   4 • (x² + 2x - 3)

Trying to factor by splitting the middle term

Factoring  x²+ 2x - 3

The first term is,  x²

its coefficient is  1 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   2 .

   -3    +    1    =    -2  

     -1    +    3    =    2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  3

x² - 1x + 3x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (x+3)  •  (x-1)

            Which is the desired factorization

Final result :

Final result :

 4 • (x + 3) • (x - 1)

Now convert to vertex form:

y = 4 (x + 1)² - 16

please help me with this. really need this​

Answers

Answer:

  (a)  1

Step-by-step explanation:

When you draw a horizontal line on the graph at y=1, you see it intersects the curve in two places. That is, there will be 2 real solutions to f(x) = 1, not 4 solutions.

If you want 4 solutions, the value of c in f(x)=c cannot be 1.

Name three equal ratios from the graph

Answers

250:10

125:5

100:4

Step-by-step explanation:

ratio of y to x

6) Error Analysis. Analyze the work below, describe the error then
determine the correct value for x.
26 = 4x - 2
24 = 4x
6 = x

Answers

Answer:

The error is that 2 should have been added to both sides, 7 = x

Step-by-step explanation:

m(arc DE)=105 and M(arc BC)=70 Find M

Answers

Answer:

a. 70

Step-by-step explanation:

The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions of the pool?

_____ meters by _____ meters

Answers

Answer:

13640cubicmeter........

Solve. 34x+78=414 Enter your answer as a mixed number in simplest form in the box. x =

Answers

Answer:

The answer in mixed fraction form is [tex]9\frac{15}{17}[/tex]

Step-by-step explanation:

34x + 78 = 414=> 34x = 414 - 78=> 34x = 336=> x = 336/34=> [tex]9\frac{30}{34} = 9\frac{15}{17}[/tex]

Conclusion:

Therefore, the answer in mixed fraction form is [tex]9\frac{15}{17}[/tex]

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer: X= 9 over 2

I think this is the right answer

sorry if it is not

Pls help again what’s 2.8446 rounded to the nearest hundreth

Answers

Answer:

2.84

Step-by-step explanation:

Since 4 is below 5, you would not round 2.84 to 2.85

4.Cost of 10 book is ₹800.What is the cost of 50 such books

Answers

Answer:

₹4000

Step-by-step explanation:

₹800/10 books

₹80/1 book

(₹80/1 book)*(50) = ₹4000

(4-13i)-(3+6i) how do you solve this I’ve been stuck

Answers

Answer:

1-19i

Step-by-step explanation:

1- Which comparison is NOT true?
A
3.976 > 3.97
B
1.025 < 1.25
С
9.145 > 9.14
D
0.613 > 0.631

Answers

Answer:

D

Step-by-step explanation:

Process of Elimination:

A: 3.976 is greater than 3.97

B: 1.025 is lesser than 1.25

C: 9.145 is greater than 9.14

All of the options checked are true, leaving the answer only to be D.

Write an algebraic equation to represent the situation.

A bacon cheeseburger cost $1 more than a regular cheeseburger. If 5 cheese burgers cost the same as 3 bacon cheeseburgers, how much does a regular cheeseburger cost.


I don't know if I'm just tired or what but I do not understand how I can make an equation out of this.

Answers

3(x+1) = regular cheese burger

The slope of a line is (-1/2) and a point on the line is (-2, 3). Find the equation for the line in slope intercept form.

Answers

Answer:

y=-1/2x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/2(x-(-2))

y-3=-1/2(x+2)

y=-1/2x-2/2+3

y=-1/2x-1+3

y=-1/2x+2

(1,-3) (-3,1) find the slope​ intercept form​

Answers

We will need to use point-slope form, and then put this into slope-intercept form. We can also use slope-intercept form, and plug in the coordinates but we should get the same answer.

Firstly, we need to find the slope. We can use the formula y2-y1/x2-x1. 1-(-3)/-3-1 is 4/-4. The slope is -1.

Next, point-slope form is y-y1=m(x-x1). I will use the coordinate (1, -3) for y1 and x1. M is the slope. We do not need to worry about y and x. y-(-3)=-1(x-1). This gives us y+3=-x+1. Once we subtract 3, to isolate y, we get y=-x-2.

The answer is y=-x-2

Answer:

[tex]y=-x-2[/tex]

Step-by-step explanation:

1) First, find the slope between these 2 points.

(1, -3)

(-3, 1)

The change between the y-values is 4.

[tex]1--3=1+3=4[/tex]

The change between the x-values is -4.

[tex]-3-1=-4[/tex]

Slope is rise over run, and this is a rise of 4 and a run of -4, so the slope is -1.

[tex]\frac{4}{-4}=1[/tex]

If you just wanted to use the slope formula, you could do that too:

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{1--3}{-3-1}\\\\m=\frac{4}{-4}\\\\m=-1[/tex]

2) Second, now you can use the slope to calculate the y-intercept.

Pick whichever point you want, and plug it into the equation along with the slope and solve for b.

(1, -3) = (x, y)

[tex]y=mx+b\\-3=(-1)(1)+b\\-3=-1+b\\-2=b\\b=-2[/tex]

The y-intercept is -2.

3) Finally, you can wire the equation in slope-intercept form.

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

where m is the slope and b is the y-intercept.

Plug in the values we found and you're done:

[tex]y=-x-2[/tex]


Tanaka says "When you multiply an odd number and an even number together, you will
always get an odd number'.
Show that Tanaka is wrong.

Answers

Answer: Tanaka is wrong becausee...

2 x 3 = 6

Since Tanaka said "When you multiply an odd number and an even number together, you will always get an odd number." we do not need to show more examples.

Hope this helps :)

A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. X = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. (11. 4, 14. 2) (7. 6, 8. 8) (5. 7, 7. 5) (10. 2, 12. 6).

Answers

The location of the treasure on the treasure map is (b) (7.6,8.8)

The ratio is given as:

[tex]m : n = 5 : 9[/tex]

The coordinates of the rock and the tree are:

[tex]Rock =(3,2)[/tex]

[tex]Tree = (16,21)[/tex]

The x and y coordinates of the location of the treasure are:

[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

So, we have:

[tex](x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})[/tex]

[tex](x,y) = (\frac{107}{14},\frac{123}{14})[/tex]

[tex](x,y) = (7.6,8.8)[/tex]

Hence, the location of the treasure is (b) (7.6,8.8)

Read more about line segment ratios at:

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I need help please and explain your answer it’s number 4

Answers

Answer:

29

Step-by-step explanation:

Well "value" of 3x^2 - 7x + 9 when x = 4 is just x plugged into the expression

3 * 4^2 - 7 * 4 + 9

3 * 16 - 28 + 9

= 29

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