A scale drawing of a playground is shown below.
PLAYGROUND
2.5 in.
KEY
1 in. = 40 ft.
3 in.
1 in.
4.5 in.
Using this scale, what is the area, in square feet, of the playground?
540 square feet
450 square feet
440 square feet
380 square feet

Answer: 1/7 of a cup

Step-by-step explanation:

7x=1 x=food per day

divide 7 from both sides

7 / 7x = 1 /7

x = 1/7

Answer:

65

Step-by-step explanation:

you add all the numbers inside.

80+35= 115

You have to make sure it equals to 180 to find angle 1.

Therefore, 180-115=65.

Answer:

y= -7/9 x+70

Step-by-step explanation:

28x+36y=2520

36y=-28x+2520

y= -7/9 x+70

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

Calculating the salt concentration per liter of water we will find:

(a) [tex]0.288 kg/liter[/tex]

(b) [tex]0.061408 kg/liter[/tex]

The mass of salt entering the tank per minute:

[tex]X= (0.2)( 5) = 1 kg/minute[/tex]

The mass of salt exiting the tank per minute:

 [tex]\frac{5 * (5 + x)}{500}[/tex]

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;  

[tex]\frac{\Delta}{dt} = \frac{x - 5 * (5 + x)}{500}[/tex]

The increase, in mass, Δ, after an increase in time, dt, is therefore;

[tex]\Delta = (x - 5 * (5 + x)/500)dt[/tex]

Integrating with a graphing calculator, with limits 0 at 10, gives;  

[tex]\Delta = (99X - 5)/10[/tex]

Substituting x = 1 gives:

[tex](99)( 1 - 5)/10 = 9.4 kg[/tex]

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank). The concentration of the salt and water in the tank after 10 minutes:

[tex](5 + 9.4)/500 = (14.4)/500 = 0.288[/tex]

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter.

(b) With the added leak, we now have;

[tex]\frac{\Delta}{dt} = \frac{ (x - 6 ) (14.4 + x}{500} \\\Delta = \frac{(x - 6)(14.4 + x)}{500} dt[/tex]

Integrating with a graphing calculator, with limits 0 at 20, gives;

[tex]\int\limits^{20} _0 {\frac{(x - 6)(14.4 + x)}{500} dt}[/tex]

Where x = 1:

[tex]\Delta = 19.76(1) -3.456 = 16.304[/tex]

The increase in mass after an increase in = 16.304 kg. The total mass:

[tex]16.304 + 14.4 = 30.704 kg[/tex]

The concentration of the salt in the tank then becomes;

[tex]30.704/500 = 0.061408 kg/liter[/tex]

Learn more: brainly.com/question/11762787

Answer:

10+78t-16t^2

Step-by-step explanation:

(-16t-2)(t-5)

-16t × t= -16t²

-16t × -5=80t

-2 × t= -2t

-2 × -5=10

-16t²+80t-2t+10= -16t^2+78+10

Answer:

I would think continuous if she does it constantly every friday night

Step-by-step explanation:

Answer:

continuious

Step-by-step explanation:

Step-by-step explanation:

$0.30 because they only sell 30 cents less/more than each other

Answer:

Step-by-step explanation:

period

Answer:

The answer is B

Step-by-step explanation:

I am learning the same thing somehow

Answer:

length = 14 width = 10

Step-by-step explanation:

48/4=12

10+10+14+14=48

Answer:

would be 3

Step-by-step explanation:

if 1 is 1 ,3 would be 3 ;-;

Answer:

I'm pretty sure it would be (5,6)

Step-by-step explanation:

Reflecting a point over the Y-axis would change the x-coordinate, but not the y-coordinate

Answer:

sec35°

Step-by-step explanation:

sec325° = sec(360 - 325)° = sec35°

The secant of a positive acute angle of sec 325° = sec 35° = 1.22077

What are Trigonometric Ratios?

Trigonometry values are all about the study of standard angles for a given triangle with respect to trigonometric ratios.The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given data ,

The trigonometric ratio is = sec 325°

Now , to express the ratio in terms of a positive acute angle , we take the four quadrants of the graph and express the angle in the first quadrant.

And , 325° lies on the 4th Quadrant , where all cosines and secants are positive.

Therefore , sec 325° = sec ( 360° - 35° )

                                  = sec ( 35° )

                                  =1.22077

Hence , the secant of a positive acute angle of sec 325° = sec 35° = 1.22077

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Answer:

g(f(x)) = 6x^2 + 8x - 25

Step-by-step explanation:

So, first we have to substitute f(x) into the place of x in the g(x). This will be shown as g(f(x)) (which is what we need to solve). Next, we have to substitute 3x^2 + 4x - 7 into the place of x in 2x - 11. We do this because we had to substitute f(x) into the place of x in g(x).

So this is how your equation should look, and then solve:

g(f(x)) = 2(3x^2 + 4x - 7) - 11

g(f(x)) = 6x^2 + 8x - 14 - 11

g(f(x)) = 6x^2 + 8x - 25   < ---- This is your answer

Hope this helps!

Answer:

43.44

Step-by-step explanation:

If they are selling 2 lizards for 14.48 you would divide

14.48 by two which is 7.24.

This means the lizards are 7.24 each.

7.24x6 is 43.44

Answer:

$43.44

Step-by-step explanation:

If two lizards are worth $14.48, then you just need two multiply the cost by three.

Answer: Choice B

(-2, 5)

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

Explanation:

The original system is

[tex]\begin{cases}-4x+3y = 23\\ x-y = -7\end{cases}[/tex]

Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations

[tex]\begin{cases}-4x+3y = 23\\ 3x-3y = -21\end{cases}[/tex]

Now add straight down

The x terms add to -4x+3x = -1x = -x

The y terms add to 3y+(-3y) = 0y = 0

The terms on the right hand sides add to 23+(-21) = 2

We end up with the equation  -x = 2 which solves to x = -2

Now use this to find y. You can pick any equation with x,y in it

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

-4x+3y = 23

-4(-2)+3y = 23

8+3y = 23

3y = 23-8

3y = 15

y = 15/3

y = 5

Or

x-y = -7

-2-y = -7

-y = -7+2

y = -5

y = 5

Either way, we get the same y value.

So that's why the solution is (x,y) = (-2, 5)

Answer:Math is important

Step-by-step explanation:

It could help you get into collage and get a good job and with that you could start your life.

Answer:

1.)

I love working with numbers

I love math because of what a challenge it is

I love math because I can become a engineer

I love math because I can also become a doctor with it

I love math because it is useful

2.)

I don't like math because of the word problems

I don't like math because it sometimes gets too easy

I don't like math because I usually have to help others

I don't like math because people call me a nerd

I don't like math because it makes me explain in words

3.)

when your in the store and it helps you with knowing how much your spending

lets you know about if the discount in the store is really good or bad

helps you with becoming certain things when you grow up

it will help you with most of your jobs

Will help others if you know it, you can share your knowledge

Step-by-step explanation:

brainlist pls :>

Answer:

-0.055555555555556

Step-by-step explanation:

Answer:

It should be open.

Step-by-step explanation:

Hope this helped!

Answer: 24695374195

Step-by-step explanation: did you really need this?

Answer:

B

Step-by-step explanation:

Answer:

slope: 3    y-intercept: 9

Step-by-step explanation: 19-10 is 9, and 6-3 is 3 9/3 is 3.

28-19 equals 9. 19-10 is 9, so 9 fills out that blank beside 10.

Answer:

slope is 3 and in the blank goes 1. and y intercepts line at y=1

Answer:

one group has 12. one has 16. 12 + 16 = 28. 16 is 4 more than 12

Answer:

It would be <XWY & <UTW.

Answer:

b

The rest are at least 500 numbers away from 12

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

The probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.

A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles.  The total number of marbles in the bowl is,

[tex]n=5+2+10+3\\n=20[/tex]

The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,

[tex]P=\dfrac{3}{20}[/tex]

The probability that Fiona pulls out a marble that is not white is,

[tex]P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}[/tex]

Thus, the probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

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