Does anyone knows how to solve this?

Answer:

bus = 50mph and train = 70mph

Step-by-step explanation:

4b + 4t = 480

t = b + 20 [replace the "t" in the next step to solve]

4b + 4(b + 20) = 480

4b + 4b + 80 = 480

8b + 80 = 480 [subtract 80 from both sides of the equation]

8b = 400 [divide by 8 on both sides of the equation]

b = 50 and if the train is 20mph faster, t = 70

4(50) + 4(70) = 480

Answer:

480

Step-by-step explanation:

Answer:

[tex]\large\boxed{\pink{ \leadsto The \ given \ equation \ is \ not \ a \ Quadratic \ equation . }}[/tex]

Step-by-step explanation:

Given equation to us is ,

[tex]\green{\implies x^2+\dfrac{1}{x}=4 }[/tex]

So , a equation is said to be a quadratic equation if the highest degree of the variable is 2 . On simplifying the Equation ,

[tex]\implies x^2 +\dfrac{1}{x}=4 [/tex]

Taking x as LCM ,

[tex]\implies \dfrac{x^2.x + 1 }{x}= 4 [/tex]

Transposing x to RHS .

[tex]\implies x^3 + 1 = 4x [/tex]

Putting all terms in LHS

[tex]\boxed{\bf \implies x^3 - 4x - 1 = 0 }[/tex]

Since here the highest degree of the variable is 3 not 2 . So its a cubic equation and not a quadratic equation .

Answer:

Step-by-step explanation:

2x + 5y = 1     ⇒    2x = 1 - 5y

y = 2xy + 5

y = (1 - 5y)y + 5

y = y - 5y² + 5

5y² = 5

y² = 1

 y₁ = 1               ∨           y₂ = -1

2x₁ = 1 -5(1)                   2x₂ = 1 - 5(-1)

2x₁ = 1 - 5                      2x₂ = 1 + 5

2x₁ = -4                         2x₂ = 6

 x₁ = -2                           x₂ = 3

Midpoint:

[tex]M=\left(\frac{x_1+x_2}2\ ,\ \frac{y_1+y_2}2\right)=\left(\frac{-2+3}2\ ,\ \frac{1+(-1)}2\right)=\left(\frac12\ ,\ 0\right)[/tex]

The coordinates of the midpoint of the line AB is (0, 1/2).

The equation of the curve is given by y = 2xy + 5.

The equation of the line is given by 2x + 5y = 1.

We have to first find the point of intersection between the curve and the line and then find the coordinates of the midpoint of line AB where A and B is the point of intersection between the curve and the line.

If C(x, y) divides a line AB in m:n then we have,

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

And if C(x,y) is the midpoint then m = n.

we have,

[tex]x = \frac{x_2 +x_1}{2},~~~y =\frac{y_2+y_1}{2}[/tex]

Where x and y are the coordinates of the midpoint o the line AB.

Find the point of intersection between the line and the curve.

y = 2xy + 5............(1)

2x + 5y = 1..............(2)

From (2) we have,

2x = 1 - 5yx = (1-5y) / 2..........(3)

Substituting (3) in (1).

[tex]y =2\frac{(1-5y)}{2}y + 5\\\\y =\frac{2y-10y^2}{2} + 5\\\\2y = 2y - 10y^2 + 10\\\\10y^2 = 10\\\\y^2 = 1[/tex]

So we have,

y = 1 and y = -1

Puttin y = 1 in (3) we get,

x = (1 - 5) / 2 = - 4 / 2 = -2

Puttin y = -1 in (3) we get,

x = {1-5(-1)} / 2 = (1+5) / 2 = 6 / 2 = 3

Now we have two points of intersection A( 1, -2 ) and B( -1, 3 ).

Finding the coordinates of the midpoint of the line AB.

we have,

[tex]A(1, -2) = A (x_1, y_1)~~and~~B(-1, 3) = B(x_2, y_2)[/tex]

Substituting in the given equation.

[tex]x = \frac{x_2 +x_1}{2},~~~y =\frac{y_2+y_1}{2}\\\\x = \frac{-1 +1}{2},~~~y =\frac{3+(-2)}{2}\\\\x = 0,~~~y=\frac{1}{2}[/tex]

So the coordinates of the midpoint is (x,y) = ( 0, 1/2 ).

Learn more about the midpoint of a given line here:

https://brainly.com/question/24493570

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Answer:

[tex]\boxed{\pink{\tt \leadsto Sum \ of \ first \ five \ terms \ is \ 50 . }}[/tex]

Step-by-step explanation:

Given that , the sum of the first nine terms of an arithmetic series is 162 and the sum of the first 12 terms is 288.

[tex]\boxed{\red{\bf \bigg\lgroup For \ answer \ refer \ to \ attachment \bigg\rgroup }}[/tex]

• The sum of n terms of an AP is

[tex]\boxed{\orange{\sf S_n = \dfrac{n}{2}[2a+(n-1)d] }}[/tex]

• nth term of an AP is given by ,

[tex]\boxed{\blue{\sf T_n = a+(n-1)d }}[/tex]

Answer:

y=−2/5x−2

Step-by-step explanation:

Write in slope-intercept form, y = m x + b .

Answer:

naygas

Step-by-step explanation:

awdwadjhwyajsdudjHASGVJX wvjbhdaes,cvmdjh,bkn,cdblajnkcdbvhjksnam ,bchbdjkns.a d,cbjhkna.djbc

answer: B

Answer:

Option (3)

Step-by-step explanation:

Given inequality is,

-2x + 8 < 12

By subtraction property of Order,

-2x + 8 - 8 < 12 - 8

-2x < 4

B division property of Order,

[tex]\frac{-2x}{(-2)}<\frac{4}{(-2)}[/tex]

x > -2

Since, there is no sign of equal to ( = ) in the given inequality, starting point on a number line will be a hollow point.

And an arrow starting from point x = -2 directing towards positive integers will represent the given inequality.

Option (3) will be the answer.

Answer:

103

Step-by-step explanation:

bassically what you do is add 7 dollars to the ninety six that she lost when she bought the pie or you can do this equation 96 + m but m would be the money she lost being 7 dollars so you would replace m with 7 so it would be 96 + 7 = 103

Answer:

1/4 population

Step-by-step explanation:

Answer: 25%

Step-by-step explanation: 200/800=0.25

                                             Move the decimal places of 0.25 two spaces to the right so is 25.

Step-by-step explanation:

x² + 9x < -20

x² + 9x + 20 < 0

(x + 4)(x + 5) < 0

Therefore -5 < x < -4 / (-5,-4)

Answer:

One-fourth times 32

Step-by-step explanation:

Yes, I know...31.3 rounded is 31, not 32. But it's closer than any other number.

Answer:

ima say this in baby words bcz i dont know how to explain it otherwise sorry lol

fractions are part of an object or sum and a ratio are things comparedish?

Step-by-step explanation:

ratio: 3:4

fraction: 2/8

Answer:

ratios is like part of something i think like 1:3 = 1/3 and fractions can be divided unlike ratios

Step-by-step explanation:

Answer:

0.16 tons

Step-by-step explanation:

Answer:

0.96% or 1% to the nearest whole ( use the whole as for your answer )

Step-by-step explanation:

825-817 = 8

8 / 825 = 0.00969696....

x 100 = 0.96%

Answer:

6x+2 is the answer

Step-by-step explanation:

.......

Answer:

I think The answer would be 0.3

Answer:

-3/10

Step-by-step explanation:

3/2 is equivalent to 15/10. Or 1 5/10. And 6/5 is equivalent to 18/10s or 1 8/10. Therefore 1 1/5 + (-1 8/10) = -3/10

Answer:

8/27 lb

Step-by-step explanation:

The salad has 1/3 of 8/9 lb.

1/3 * 8/9 = 8/27

Answer: 8/27 lb

Answer:

nobody can work 830 in one week; there are only 168 hours in a week

Step-by-step explanation:

Answer: The slope of this graph is 3.

Step-by-step explanation: Sorry my answer got deleted

Answer: 15.2x4.34=65.968

Step-by-step explanation:

Answer:60 is the answer

Step-by-step explanation: get a piece of paper put down 15 15 15 15 count the tens then count the 5 what will that be

Answer:

The equation becomes

[tex]1\frac{7}{19}=a\frac{b}{c}[/tex]

Therefore,

Hence, option (C) is true.

Step-by-step explanation:

Given the expression

[tex]3\frac{1}{4}\div 2\frac{3}{8}\:=a\frac{b}{c}[/tex]

Solving the L.H.S of the equation

[tex]3\frac{1}{4}\div \:2\frac{3}{8}=\frac{13}{4}\div \:2\frac{3}{8}[/tex]

               [tex]=\frac{13}{4}\times \frac{8}{19}[/tex]

               [tex]=\frac{13\times \:2}{1\times \:19}[/tex]

                [tex]=\frac{26}{1\times \:19}[/tex]

                 [tex]=\frac{26}{19}[/tex]

Converting improper fraction to a fixed number: [tex]\frac{26}{19}=1\frac{7}{19}[/tex]

                 [tex]=1\frac{7}{19}[/tex]

Thus, the equation becomes

[tex]1\frac{7}{19}=a\frac{b}{c}[/tex]

Therefore,

Hence, option (C) is true.

Answer:

D. (-3;-3)

Step-by-step explanation:

2x-3y<9

A. 2×6-3×(-4)=24 FALSE, because 24>9

B. 2×(-1)-3×(-9)=25 FALSE, because 25>9

C. 2×2-3×(-5)=11 FALSE, because 11>9

D. 2×(-3)-3×(-3)=9 TRUE, because 3<9

Answer:

-3a-4b+5

Step-by-step explanation:

(3a-6b+12)-(6a-2b+7)

3a-6b+12-6a+2b-7

3a-6a-6b+2b+12-7

-3a-4b+5