what is x - 2 5/8 = 6 1/4

Answer: 0 = 0 and/or Infinitely Many Solutions

Step-by-step explanation:

When solving this equation we want to find x then substitute the answer we find for x to see if both sides are equal to the same number.

So once we find x replace x with that number: x = 8

Rewrite equation: [tex]-24+3(8)=16-2(8)[/tex]

So we solve          [tex]-24+24=16-16\\0=0[/tex]      

Since both sides are equal the answer would be Infinitely Many Solutions

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{4}}}\implies \cfrac{-7}{-4}\implies \cfrac{7}{4}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{7}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-2=\cfrac{7}{4}x-7\implies y=\cfrac{7}{4}x-5[/tex]

In the carnival the number of games number of rides Wyatt went on is 3 and 6 respectively.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The number of unknown objects can be find using the system of solution.

Given information-

The cost of each game is $1.25.

The cost of each ride is $2.75.

Total amount of money spent by the Wyatt is $20.25.

The number of rides he went on is twice the number of games he played.

Suppose the number of games Wyatt played is x and the number of rides he went in the carnival is y.

As, the number of rides he went on is twice the number of games he played. Thus,

[tex]y=2x[/tex]

Let the above equation as equation one.

As total amount of money spent by the Wyatt is $20.25 and The cost of each game is $1.25 and the cost of each ride is $2.75. Thus,

[tex]1.25x+2.75y=20.25\\[/tex]

Put the value of y in the above equation from the equation one as,

[tex]1.25x+2.75(2x)=20.25\\1.25x+5.5x=20.25\\6.75x=20.25\\x=3[/tex]

Thus the number of games he played is 3.

Put this value of x in the equation one as,

[tex]y=2\times3\\y=6[/tex]

Thus the number rides Wyatt went on is 6.

Hence, In the carnival the number of games number of rides, Wyatt went on is 3 and 6 respectively.

Learn more about the system of equations here;

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Answer:

b

Step-by-step explanation:

The equation of the parabola whose focus is at (3, 0) and the directrix is at x = –3 is y=6x²+6x.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in form (x, y);

a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.

As it is given that the focus of the parabola is at F(3,0) and its directrix is the line x=−3, therefore, we can write that

x=-3

x+3=0

Now, Let A(x,y) be any point in the plane of the directrix and focus, and MA be the perpendicular distance from A to the directrix, therefore, A lies on parabola if FA=MA,

[tex]FA=MA\\\\\sqrt{(x-3)^2 +(y-0)^2}=\dfrac{|x+3|}{1}\\\\{(x-3)^2 +(y-0)^2}={(x+3)^2}\\\\-6x^2+y=6x\\\\y=6x^2+6x[/tex]

Hence, the equation of the parabola whose focus is at (3, 0) and the directrix is at x = –3 is y=6x²+6x.

Learn more about Parabola:

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Answer:

D. 9, 40, 41

Step-by-step explanation:

We can use Pythagorean theorem (a²+b²=c²) to answer this question by squaring the smallest 2 lengths then seeing if it equals the square of the 3rd length.

2²+3² = 4+9 = 13 ≠ 4²

12²+15² = 144+225 = 369 ≠ 20²

8²+9² = 64+81 = 145 ≠ 10²

9²+40² = 81+1600 = 1681 = 41²

The first school sends 3 times as many German students as French students, so if they send 21 German students, they must also be sending 21/3 = 7 French students. The first school then sends a total of 21 + 7 = 28 students.

The other 3 schools send the same number of students. There are 4 schools, so the total number of students is 4 × 28 = 112.

Answer:

75%

Step-by-step explanation:

457.7/610

divide it out

.75

make it a percentage

.75 × 100 = 75%

Hey guys! Person above me is correct, I made a mistke in my calculations!

Answer:

i dont know Ecactly but i think mybe its 10 or 15

In a right-angled triangle, the Pythagoras theorem is used to find the hypotenuse. Then the hypotenuse is 32.2 inches.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

A right triangle has legs measuring 16 inches And 28 inches.

We know the Pythagoras theorem

[tex]\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2[/tex]

Then the hypotenuse will be.

[tex]\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2\\\\\rm Hypotenuse ^2 = 16^2 + 28^2\\\\ \rm Hypotenuse ^2 = 256 + 784\\\\\rm Hypotenuse ^2 = 1040\\\\\rm Hypotenuse \ = 32.2[/tex]

Thus, the hypotenuse is 32.2 inches.

More about the right-angle triangle link is given below.

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The inflow rate of water is given by the function of the volume of the

tank derived from the shape of the tank.

Response:

The given parameter are;

Shape of the tank = Conical

Rate at which water is leaking out of the tank = 7,000 cm³/min

Height of the tank = 6 m

Diameter of the tank = 4 m

Solution:

We have;

[tex]\dfrac{D}{h} = \mathbf{\dfrac{2 \cdot r}{h}}[/tex]

[tex]r = \mathbf{\dfrac{D}{2 \cdot h}}[/tex]

Which gives;

[tex]r= \mathbf{\dfrac{h}{3}}[/tex]

[tex]V = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h = \dfrac{1}{3} \cdot \pi \cdot \left(\dfrac{h}{3} \right)^2 \cdot h = \mathbf{ \pi \cdot \dfrac{h}{27} ^3}[/tex]

Which gives;

[tex]\dfrac{dV}{dh} = \mathbf{\pi \cdot \dfrac{h}{9} ^2}[/tex]

By using chain rule of differentiation, we have;

[tex]\dfrac{dV}{dt} = \mathbf{\dfrac{dV}{dh} \times \dfrac{dh}{dt}}[/tex]

Which gives;

[tex]\dfrac{dV}{dt} = \mathbf{\pi \cdot \dfrac{h}{9} ^2\times 20}[/tex]

[tex]\dfrac{dV}{dt} = \pi \cdot \dfrac{200}{9} ^2\times 20 \approx 279,252.68[/tex]

[tex]\dfrac{dV}{dt} = \mathbf{Inflow \ rate - Outflow \ rate}[/tex]

Therefore;

[tex]Inflow \ rate = \mathbf{\dfrac{dV}{dt} + Outflow \ rate}[/tex]

Which gives;

Inflow rate ≈ 279,252.68 + 7000 = 286,252.68 ≈ 286,253

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Answer:

yellow box

Step-by-step explanation:

if you follow the graph. it is a difference of 6 between each 2 points

so you don't have to solve with the formula

6/2 = 3 so 3 is your X

and you get larger as you go towards 0 so it is positive

and so add 6 to 10 because (-2,10) and you follow the 6 y for every 2 you go

so (0,16)

y = 3x + 16

Answer:

14

Step-by-step explanation:

[tex](3 + 4)2 \\ add \: 3 \: to \: 4 = 7 \\ (7)2 \\ 7 \times 2 \\ 14[/tex]

Answer:

24 min

Step-by-step explanation:

14-8 is 6 so you need to shrink it 6 feet until it has a daimiter of 8.

6 divided by .25 is 24 so you have your answer

14-.25x=8

The equation is 14 - 0.25x = 8.

It will take 24 minutes for the balloon to shrink.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

A hot-air balloon has a 14-foot diameter.

Rate of 0.25 feet per minute.

Now, equation to represent the situation is

14 - 0.25x = 8

On further solving

6= 0.25x

x= 6/0.25

x= 24

Hence, it will take 24 minutes for the balloon to shrink.

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#SPJ5

Answer:

3$

Step-by-step explanation:

Answer:

11m^3+16m+16

Step-by-step explanation:

First, you have to subtract the m^3, then the m, and the 11 and -5.

Answer:

11m^3-21m^2+20m+16

Step-by-step explanation:

You use the formula

3000*.09*3=810

She will have to pay back the amount of $3,810.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

We have been given data as:

Principal (P) = $3,000

Rate of Interest (R) = 9% = 9/100 = 0.09

Time (T) = three years

⇒ Simple interest  = P × R × T

Substitute the value of P, R, and T in the above formula,

⇒ Simple interest  = 3,000× 9% × 3

⇒ Simple interest  = 3,000× 9/100 × 3

⇒ Simple interest  = 3,000× 0.09 × 3

Apply the multiplication operation, and we get

⇒ Simple interest  = $810

The total payback amount = $3,000 + $810 = $3,810

Therefore, she will have to pay back the amount of $3,810.

Learn more about the simple interest here:

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#SPJ2

Answer:

i guess the answer is 64x^5

Step-by-step explanation:

(4x^2)^3

=64x^5

Answer:

5/11

Step-by-step explanation:

Answer:

[tex]\sqrt[15]{m^2n^4}[/tex]

Step-by-step explanation:

[tex](\sqrt[5]{m^2n^4} )^{\frac{1}{3}}\\\\\implies( (m^2n^4)^{\frac{1}{5}})^{\frac{1}{3}}\\\\\implies (m^2n^4)^{\frac{1}{5}\times \frac{1}{3}}\\\\\implies (m^2n^4)^{\frac{1}{15}}\\\\\implies (m^2)^{\frac{1}{15}} (n^4)^{\frac{1}{15}}\\\\\implies m^{\frac{2}{15}} n^{\frac{4}{15}}[/tex]

[tex]\sqrt[15]{m^2n^4}[/tex]

Answer:

the answer is graph 1

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

House number:

1. has 3 people

2. has 2 people

3. has 3 people

4. has 2 people

5. has 3 people

6. has 2 people

7. has 3 people

looking at each rule, it all fits.

so now add it all up so its 18

Answer:

y = 175. x = 300. Disney vacation is 300 sold. Cars sold were 175.

Step-by-step explanation:

They want to raise $80,000. There are a total of 475 tickets.

150x + 200y (Disney Vacation + Win a car) = 80,000

x + y = 475.

__
y=475-x

150x+200(475-x)=80000

150x+95,000-200x=80,000.

-50x + 95,000 = 80,000.

-50x = -15,000

x = 300.

Disney vacation is 300 sold.

300 + y = 475.

y = 175.

Cars sold were 175.

Additional Info:

I am 14 years old and I'm learning solving the systems by elimination and substitution, etc. Hope this is the correct answer.

Answer:

RHS

Step-by-step explanation: the hypotenuse and one side of the triangle is respectively equal to the hypotenuse and one side of the other triangle

so, its rhs

Answer:

B: 84%

Step-by-step explanation: