solve this question...

Answer:

17:49

17/49 cannot be diminished further more, so it's already in it's simplest form.

Answer:

-13/2

Step-by-step explanation:

-13/2 is the answer

The diameter of Christy's pool is 4 times larger than the other .-.

We know that for a circle of radius R the area is given by:

A = π*R^2

Let's say that:

Then we have the corresponding areas.

We know that:

A = 16*A'

Replacing the equations, we get:

π*R^2 = 16*(π*R'^2)

R^2 = 16*R'^2

If we apply the square root in both sides, we get:

√R^2 = √(16*R'^2)

R = 4*R'

This means that the radius of Christy's pool is 4 times larger than the one of Emily's pool.

And the same is for the diameter (twice the radius).

D = 2*R

D' = 2*R'

Then:

D = 2*R = 2*(4*R') = 4*(2*R') = 4*D'

The diameter of Christy's pool is 4 times larger than the other diameter.

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774

Step-by-step explanation:

a)

W = 200R + 5900

now, we want to transform this, so we get R = ...

W - 5900 = 200R

R = (W - 5900)/200

b)

R = (8200 - 5900)/200 = 2300/200 = 23/2 = 11.5

there were 11.5 hours of overtime.

Answer:

75%

Step-by-step explanation:

To find how much percent of the team won, you have the event over the sample space.

So n(E)/n(S) = 63/84 = 3/4 = 0.75 = 75%

Feel free to comment if you have any questions! :D

Answer:75%

Step-by-step explanation:

63/84 = 3/4 in other words 75%

[tex]\\ \rm\rightarrowtail 2x=\dfrac{\sqrt{3}}{6}[/tex]

[tex]\\ \rm\rightarrowtail 6(2x)=\sqrt{3}[/tex]

[tex]\\ \rm\rightarrowtail 12x=\sqrt{3}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{\sqrt{3}}{12}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{1}{4\sqrt{3}}[/tex]

Answer:

Step-by-step explanation:

i did not understand which one did you mean so,

1)[tex]2x=\sqrt{\frac{3}{6} } \\2x=\sqrt{\frac{1}{2} } \\x=\frac{1}{\sqrt{2}*2}[/tex]

2)[tex]2x=\frac{\sqrt{3}}{6} \\x=\frac{\sqrt{3}}{12} \\x=\frac{1}{4*\sqrt{3} }[/tex]

»int 4x dx = ?

»(4/1 + 1)x¹+¹ + c

»4/2 x² + c

»2x² + c✅

[tex]\\ \rm\hookrightarrow {\displaystyle{\int}}4x dx[/tex]

[tex]\\ \rm\hookrightarrow 4(\dfrac{x^{1+1}}{2})[/tex]

[tex]\\ \rm\hookrightarrow 4x^2/2[/tex]

[tex]\\ \rm\hookrightarrow 2x^2[/tex]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving to the airport (in mph)

⇒ v + 15 = average speed driving from the airport (in mph)

Using:  distance = speed x time

[tex]\implies t=\dfrac{d}{v}[/tex]

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

[tex]\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}[/tex]

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

[tex]\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1[/tex]

Now all we have to do is solve the equation for v:

[tex]\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1[/tex]

[tex]\implies \dfrac{18(v+15)+18v}{v(v+15)}=1[/tex]

[tex]\implies 18(v+15)+18v=v(v+15)[/tex]

[tex]\implies 18v+270+18v=v^2+15v[/tex]

[tex]\implies v^2-21v-270=0[/tex]

[tex]\implies (v-30)(v+9)=0[/tex]

[tex]\implies v=30, v=-9[/tex]

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

Let s represent the speed on the return trip

So, The initial speed will be (s-15)

Equation of time:

[tex] \boxed{ \tt \: time = \frac{distance}{speed} }[/tex]

return time + initial time = 1 hr

[tex] \sf\frac{18}{s} + \frac{18}{s - 15} = 1[/tex]

⚘Solution for the complete equation in attachment!!~

[tex]\rule{300pt}{2pt}[/tex]

Answer:

1/2

Step-by-step explanation:

2/5 = 0.4

1/2 = 0.5

So 2/5 is closer to 1/2 since it is only 0.1 away whilst 1 is 0.6 away and 0 is 0.4 away

Answer:

It is closer to 1/2

Answer:

[tex]\frac{x+3}{x}[/tex] or x+3/x

Step-by-step explanation:

Using D.O.T.S (difference of two squares) formula :

[tex]a^{2} -b^{2} = (a+b)(a-b)[/tex]

[tex]x^{2} -9= (x+3)(x-3)[/tex]

Factorise the second bit:

[tex]x^{2} -3x = x(x-3)[/tex]

Now write out this fraction:

[tex]\frac{(x+3)(x-3)}{x(x-3)}[/tex]

Now we can cancel out repeated terms (x-3):

[tex]\frac{(x+3)}{x}[/tex]
This is our final answer:

[tex]\frac{x+3}{x}[/tex]

Answer:

[tex]x^{2} -3x-\frac{9}{x^{2} }[/tex]  

Step-by-step explanation:

[tex]x^{2} -9[/tex] ÷ [tex]x^{2} -3x[/tex]

To add or subtract expressions, expand them to make their denominators the same. Multiply [tex]x^{2} -3x[/tex] times [tex]\frac{x^{2} }{x^{2} }[/tex]

-

[tex]\frac{(x^{2} -3x)x^{2} }{x^{2} } - \frac{9}{x^{2} }[/tex]

Since [tex]\frac{(x^{2} -3x)x^{2} }{x^{2} }[/tex] and [tex]\frac{9}{x^{2} }[/tex]  have the same denominator, subtract them by subtracting their numerators.

-

[tex]\frac{(x^{2} -3x)x^{2} -9}{x^{2} }[/tex]

Do the multiplications in [tex](x^{2} -3x)x^{2} -9[/tex]

-

[tex]\frac{x^{4}-3x^{3}-9 }{x^{2} }[/tex]

Answer:

Step-by-step explanation:

The volume is found by multiplying all the sides of the rectangular shape.

Thus the volume = 6 * 8 * 10 = 480 cubic feet

Hope that helps!

Answer:

480 cubic feet

Step-by-step explanation:

The volume of any prism is Bh, where B = AREA of the base and h = height of prism.

We're given:

Now, we solve the volume.

Therefore, the answer is 480 cubic feet.

Answer:

C)

Step-by-step explanation:

If triangle XYZ is equilateral, then its height YW is:

[tex]YW=\sqrt{2^2-1^2} =\sqrt{3}[/tex]

if YW is the diameter of the circle, and diameter = 2 x radius, then

radius = [tex]\dfrac{\sqrt{3} }{2}[/tex]

Area of a circle = [tex]\pi r^2[/tex]

[tex]\implies \textsf{area }=\pi \left(\dfrac{\sqrt{3} }{2}\right)^2=\dfrac34\pi[/tex]

Answer:

-24 divided by p + q

Step-by-step explanation:

quotient is divided

sum is addition

The area with Perimeter= 60 2/4 and  Width= 12 1/4 is mathematically given as

A=36

Question Parameters:

Perimeter= 60 2/4

Width W= 12 1/4

Generally, the equation for the Area  is mathematically given as

A=L*W

Where

P=2L+2W

Hence

60( 2/4)=2L+2( 12( 1/4))

L=12* 12 1/4

Therefore

A=12*W

A=36

In conclusion.  the area. with Perimeter= 60 2/4 and  W= 12 1/4

Read more about Area

https://brainly.com/question/24487155

Answer:

area of sphere: 16πa²b²c²

Explanation:

[tex]\sf surface \ area \ of \ sphere = 4\pi r^2[/tex]

[tex]\sf where \ r \ is \ radius[/tex]

Here given,

using the formula:

[tex]\sf surface \ area \ of \ sphere = 4\pi r^2[/tex]

[tex]\sf \hookrightarrow 4\pi r^2[/tex]

[tex]\sf \hookrightarrow 4\pi (2abc)^{2}[/tex]

[tex]\sf \hookrightarrow 4\pi (2^2 a^2 b^2 c^2)[/tex]

[tex]\sf \hookrightarrow 2^2\cdot \:4\pi a^2b^2c^2[/tex]

[tex]\sf \hookrightarrow 16\pi a^2b^2c^2[/tex]

Answer: y = 2x − 4

The correct answer is B) y = 2x − 4

Step-by-step explanation:

Move all terms that don't contain y to the right side and solve:

y = −4 + 2x

Then reorder −4 and 2x:

y = 2x − 4

Final answer is:

B) y = 2x − 4

Answer: $91.56

Step-by-step explanation: honestly im just winging it hope its right

The amount she will pay more in interest when she pays for the

billing cycle with the previous balance method than with the adjusted balance method is $47.26.

It is the interest calculated on the principal at a given rate for a time period.

The formula for simple interest is PRT/100.

Where P is the principal, R is the rate, and T is the time in years.

We have,

Previous balance method:

P = 7400

T = 31 days

R = 22%

SI:

= (7400 x 22 x 31) / (100 x 365)

= 50468 / 365

= $138.27 ________(A)

Adjusted balance method.

P = 7400

T = 15 days

R = 22%

SI

= (7400 x 22 x 15) / (100 x 365)

= $66.90 _____(1)

After 25 days,

P = 7400 - 4900 = 2500

T = 16 days

Si:

= (2500 x 22 x 16) / (100 x 365)

= $24.11 ______(2)

From (1) and (2),

SI = 66.90 + 24.11 = $91.01 _______(B)

Now,

From (A) and (B) we get,

138.27 - 91.01

= 47.26

Thus,

$47.26 more interest is paid.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ2

Answer:

Note that 5 to the power of 3 is the same as 5 raised to 3. In x y, 5 is the base (x) and 3 is the exponent (y). Therefore, you can also write the problem and the answer as follows: 53=125 You will also get the answer of 5 to the power of 3 (5 to the 3rd power) if you type 5 then xy then 3 and then = on your scientific calculator.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

19-44=25

45-64=19 25+19=44 44-64=20

Answer:

$400

Step-by-step explanation:

Given

5% commission worth of $8000 total sales

.05*8000= $400 Ans

Answer: $0.45

I switched schools from normal to online did this twice and got it right so it is C 0.45

The value of c, the amount paid for each lemon, when the both the girls made the same amount of profit is $0.30.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Two girls each opened their own lemonade stand.  They paid the same amount, c, for each lemon, but they collected different amounts of money from customers.

The expressions in the table can be used to calculate the profit each girl made.

The profit made by the first girl is,

[tex]80.25-87c[/tex]

The profit made by the second girl is,

[tex]73.35 - 64c[/tex]

Here, (c), is the amount paid for each lemon.

As, both the girls made the same amount of profit. Thus the above two expression should be equal as,

[tex]80.25-87c=73.35 - 64c\\87c-64c=80.25-73.35\\23c=6.9\\c=\dfrac{6.9}{23}\\c=0.3[/tex]

Hence, the value of c, the amount paid for each lemon, when the both the girls made the same amount of profit is $0.30.

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Answer:

x = 2

Step-by-step explanation:

when you set these two equations equal to each other, you plug in numbers for x until you find one that makes both sides of the equation equal.  For example, 2^x - 1 = -x + 5 if you plug a 2 in for x you get 4-1 = -2+5 and both sides of the equation are equal to 3

Answer...

Ok done. Thank to me :>

Answer:

x = 13 1/4 for K12

Answer:

x = 58

Step-by-step explanation:

x and 58 are linear pair angles.

Linear pair angles are equal.

So,

x = 58

Answer:

it is a function

Step-by-step explanation:

because every input has its own output.

Answer:

It's a function

Step-by-step explanation:

The relation is

Input x is by adding 3

= - 3 + 3=0

output y by substracting 6

= 11 - 6 = 5

Answer:

[tex]493.5[/tex][tex]cm^{2}[/tex]

Step-by-step explanation:

From the diagram provided, we have the following information;

Parallelogram CDEF

[tex]Base=29[/tex]

[tex]Height=21[/tex]

Triangle EBF

[tex]Base=11[/tex]

[tex]Height=21[/tex]

We would begin by calculating the area of both plane shapes;

The area of the parallelogram is given by the formula;

[tex]Area=b*h[/tex]

[tex]Area=29*21[/tex]

[tex]Area=[/tex][tex]609cm^{2}[/tex]

The area of the triangle is given by the formula;

[tex]Area=[/tex][tex]\frac{1}{2}b*h\\[/tex]

[tex]Area=[/tex][tex]\frac{1}{2}*11*21[/tex]

[tex]Area=[/tex][tex]\frac{231}{2}[/tex]

[tex]Area= 115.5[/tex][tex]cm^{2}[/tex]

To find out how much greater is the area of the parallelogram (CDEF) than that of the triangle (EBF) in square centimeters, we simply find the difference between both results and this now gives us;
[tex]Parallelogram-Triangle=609-115.5[/tex]

[tex]Parallelogram-Triangle=493.5[/tex]

[tex]Answer: 493.5[/tex][tex]cm^{2}[/tex]