what is the remainder of 14 divided by 54584

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

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Answer:

6 tons

Step-by-step explanation:

450x12=5,400

550x12=6,600

5,400+6,600=12,000 lbs.

12,000 ÷ 2,000=6 tons

Answer:

[tex]y \leqslant -x + 1[/tex]

Step-by-step explanation:

First write the equation of the line with either inequality sign, like so:

[tex]y \geqslant -x + 1[/tex]

Then check to see if the equation is true. The easiest way to do this is to plug the coordinates (0,0) into the equation:

[tex]0 \geqslant -0 + 1 \\ 0 \geqslant 1[/tex]

Since 0 > 1 is false, you know that the correct inequality must be:

[tex]y \leqslant -x + 1[/tex]

If you want to check this, plug the coordinates (0,0) into the equation:

[tex]0 \leqslant -0 + 1 \\ 0 \leqslant 1[/tex]

Since 0 < 1 is true, you know this equation is correct.

I hope that helped! If I made a mistake, just let me know.

Answer:

50

Step-by-step explanation:

they have to add up to 80.

think about them sliding to the main vertex...

The  function f(t) that describes this scenario will be A = -42.57t + 1399.28

This required linear expression will be given as A= mt + b

Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)

m is the rate of change = 633-931/18-11

m = -298/7

m = -42.57

Get the intercept;

633 = -42.57(18) + b

633 = -766.29 + b

b = 1,399.28

Heence the  function f(t) that describes this scenario will be A = -42.57t + 1399.28

Learn more on functions here; https://brainly.com/question/17431959

Answer:

C. -4 > -7

Step-by-step explanation:

answer= option C

Answer:

Step-by-step explanation:

Conclusion:

Therefore, 3/8 is the answer.

Hoped this helped.

Answer:

5

Step-by-step explanation:

3 - ( - 5 )

= 3 + 5

3 + ? = 3 + 5

? = 5

Answer:

38%

Step-by-step explanation:

Answer:

the answer is 38%

Step-by-step explanation:

multiply 19 by 2 because 50 is half of 100

Let the number be n

[tex]\\ \sf\longmapsto 2(n+10)=60[/tex]

[tex]\\ \sf\longmapsto n+10=60/2[/tex]

[tex]\\ \sf\longmapsto n+10=30[/tex]

[tex]\\ \sf\longmapsto n=30-10[/tex]

[tex]\\ \sf\longmapsto n=20[/tex]

Answer:

C

Step-by-step explanation:

Answer:

thx for the 25 points, I know you meant to give it to me(≧▽≦)

Answer:

m∠B=52

∘

Step-by-step explanation:

Two or more angles are said to be complementary if they sum up to 90 degrees.

Given that angles A and B are complementary, then:

\begin{gathered}\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}\end{gathered}

Answer:

So all the ingredients need to be used three times so 642 flour, baking soda 3 teaspoons, same for vanilla, salt 36 teaspoons, butter 3 cups, granulated sugar 102 cups, same for brown sugar, 3 eggs, choco chips 6 cups

We can conclude that as x tends to negative infinity, f(x) will tend to positive infinity is a TRUE statement.

Given the polynomial function expressed as:

[tex]f(x)=2x^4-8x^2+7x-25[/tex]

If x tends to negative infinity, the polynomial function will become:

[tex]f(x)=2(-\infty)^4-8(-\infty)^2+7(- \infty)-25\\f(x)=2(\infty)-8(\infty)+7(- \infty)-25\\f(x)=\infty -\infty -7\infty - 25\\f(x) =\infty - 25[/tex]

Since infinity is a large number, therefore subtracting 25 from it will not have any effect on it and will still return a positive infinity.

Hence we can conclude that as x tends to negative infinity, f(x) will tend to positive infinity is a TRUE statement.

Learn more on polynomial functions here: https://brainly.com/question/7693326

Answer:

Dom mowed the most and 7/20 is how much is left

Step-by-step explanation:

To compare the answer of which is larger you need a like denominator. Maddy: 5/20

Dom: 8/20

Now what is left for them to do is 7/20.

Answer:

227 sides

Step-by-step explanation:

The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:

40500 = 180(n-2)

225 = n-2

227 = n

Therefore, the number of sides in the regular polygon is 227.

Answer:

id like to help but the picture is really blurry so im afraid that i cant. but i know there are others who can!

Step-by-step explanation:

i hope this helps you!

I can't see the picture good

[tex]L.H.S\\\\=\sin \theta \sec \theta \\\\=\sin \theta \cdot \dfrac 1{\cos \theta } \\\\=\dfrac{\sin \theta}{\cos \theta}\\\\=\tan \theta\\\\=R.H.S\\\\\text{Proved.}[/tex]

Answer:

It cant be converted to decimal or fraction while it is a integer

Answer:

D

Step-by-step explanation:

It makes sense, the others don't.

The x coordinate is the temperature, and the y coordinate is the number of cups sold.

Hope this helped! :)

Answer:

No solution

Step-by-step explanation:

-2(x-3)+5= -6(x+1)+4x

First Distribute:

-2x+6+5= -6x-6+4x

Then transfer all variables to one side and the rest to other side:*when transfer u turn to opposite number for example: -6x will transfer to 6x

6+5+6= -6x+4x+2x

Last solve

17=0

no solution

Answer:

3/2pi or 0.47746

Step-by-step explanation:

The ormula for circumference is:

Circumference = 2*pi*radius

Then substitute radius = 3/4km

Circumfrence = 2*pi*(3/4)km = 3/2pi or 0.47746

Answer:

How long did she work for though?

Step-by-step explanation: