Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way back to Boston, Jane decides to take an express train that travels at an average speed of 75 mph. How long will the trip home take?

Answer:

[tex]=\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{x^{3+3} }{8x} \\\\\frac{1+3}{8} \\\\\frac{4}{8} \\\\\frac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

make two of this figure and keep one like that and rotate the other until they line up correctly an make a rectangle, then you will see the 30 degree angle is only half of the top square. since this is true, the top square= 60 degrees. y= 20   x= 40

Answer:

all of these are rational numbers

Step-by-step explanation:

The area of the floor required to cover using carpet is equal to 24 square yards .

To calculate the area of the room in square yards,

convert the dimensions from feet to yards and then find the product of the length and width.

1 yard (yd) = 3 feet (ft)

Room length in yards

= 18 feet / 3 feet/yd

= 6 yards

Room width in yards

= 12 feet / 3 feet/yd

= 4 yards

Now, find the area of the room in square yards:

Area = Length × Width

Area = 6 yards × 4 yards = 24 square yards

Therefore,  24 square yards of carpet area required to cover the floor of the room.

learn more about area here

brainly.com/question/1631786

#SPJ2

Answer:

Step-by-step explanation:

the parallel lines have same slope

slope(m) = 4

Answer:

y=-3x+9

Step-by-step explanation:

The slope of the line through two points (x1,y1) and (x2,y2) can be found by using the formula below.  Don't forget slope is rise over run: subtract the y-values in the numerator to get the rise and subtract the x-values in the denominator (in the same order!) to get the run. Once you know the slope (m), you're halfway there.  Now all that's left to find is the y-intercept (b).  To find the y-intercept, choose one of the points on the line.  It does not matter which point you choose (just pick the one that looks easiest to you).  Plug in the values for x and y into the equation and solve for b.

Answer:

y = x + 5

Step-by-step explanation:

Find any two points:

(1, 6)

(2, 7)

Slope = (y2 - y1) / (x2 - x1)

S0:

7 - 6 / 2 - 1

1 / 1

So slope = 1

Equation:

y = mx + b

Plug in the numbers using the x and y of any points:

7 = m * 2 + b

Add m (which is the slope):

7 = 1 * 2 + b

7 = 2 + b

Subtract two from both sides:

5 = b

So our equation is:

y = x + 5

Please let me know if I've done anything wrong!

Answer:

y = x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line

m = [tex]\frac{5-0}{0+5}[/tex] = [tex]\frac{5}{5}[/tex] = 1

The line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = x + 5 ← equation of line

Answer:

D. Y=-3/2x-3

Step-by-step explanation:

(0,-3)

-3=-2/3(0)+b

-3=b

y=-3/2x+3 parallel slope is -3/2

Y=-3/2x-3

Answer: 28.

Step-by-step explanation:

Let's define D = # of marbles in Damon's bag at the beginning.

First, he gave D/2 + 2 marbles to Artemio, so now he has:

(D - D/2 - 2) = (D/2 - 2) marbles left.

Now, he gives 1/4 plus of what he has left plus 5 to Banou, so he gives:

(D/2 - 2)/4 + 5 marbles to Banou.

Then Damon has now:

(D/2 - 2) - (D/2 - 2)/4 - 5 = 3*(D/2 - 2)/4 - 5.

Now Damon gives half of this to Alex, then the amount that he has left is:

(3*(D/2 - 2)/4 - 5)/2

And we know that this is equal to 2, then we can solve this equation as:

(3*(D/2 - 2)/4 - 5)/2 = 2

Let's solve this for D.

(3*(D/2 - 2)/4 - 5) = 2*2 = 4.

3*(D/2 - 2)/4 = 4 + 5 = 9

3*(D/2 - 2) = 9*4 = 36

(D/2 - 2) = 36/3 = 12

D/2 = 12 + 2 = 14

D = 2*14 = 28

Damon initially had 28 marbles.

Answer:

89

Step-by-step explanation:

+-l

Answer: y=4

Step-by-step explanation:

4-5y=-16

(-5y +4)+ (-4)= -16 +(-4)

_5y+4-4=-16-4

-5y=-20

5y/5=20/5

2*2

y=4

Answer:

315 hamburgurs could be a possible answer

Step-by-step explanation:

Split 490 into an even half, then take away 60, thats for chesburguers. Then subtract that from 490 to find the hambugurs.

Answer:

The first multiple of 7 = 14 or -21

The second multiple of 7 = 21 and -14

Step-by-step explanation:

Let

The first multiple of 7 = 7x

The second multiple of 7 = 7(x+1)

Square of the first multiple = (7x)^2

Square of second multiple = {7(x+1)}^2

Sum

(7x)^2 + 7(x+1)}^2 = 637

49x^2 + 49(x+1)^2 = 637

Divide through by 49

x^2 + (x+1) = 13

Open bracket

x^2 + x^2 + 1 + 2x = 13

Subtract 13 from both sides

x^2 + x^2 + 1 + 2x - 13 = 13 - 13

x^2 + x^2 + 1 + 2x - 13 = 0

2x^2 + 2x - 12 = 0

Divide through by 2

x^2 + x - 6 = 0

Solve the quadratic equation using factorization method

x^2 + 3x - 2x - 6 = 0

x(x+3) - 2(x+3) = 0

(x - 2) (x+3) = 0

x - 2 = 0

x = 2

x+3 = 0

x = -3

Substitute x = 2 or -3 into 7x

When x= 2

7(2) = 14

When x = -3

7(-3) = -21

The first multiple of 7 = 14 or -21

Substitute x = 2 or -3 into 7(x+1)

When x= 2

7(2+1) = 7(3) = 21

When x = -3

7(-3+1) = 7(-2) = -14

The second multiple of 7 = 21 and -14

Answer:

A = 10%   B = 50%   C=75%

Step-by-step explanation:

A is 1/10 that is 10%

B is 1/2 that is 50%

C is 3/4 that is 75%

Fractions and percentages can be useful together

Answer:

42/12

Step-by-step explanation:

3 1/2 in improper fraction form is 7/2. We can see the denominator in the equivalent fraction is 12. In order for that to happen, the common factor that must have been multiplied is 6. So the numerator of the equivalent fraction should be 42 because:

                         7            42

                       ___ =    ____

                         2            12

42/12

The answer is [tex]\frac{42}{12}[/tex]

First, you must simplify both sides if the equation.

[tex]\frac{7}{2}=\frac{x}{12}[/tex]

Then, multiply both sides by 12

[tex]42=x[/tex]

[tex]x=42[/tex]

Finally, substitute in 42 for x

[tex]3\frac{1}{2}=\frac{42}{12}[/tex]

Answer:

For question one, your answer is that the daily change in the stock market is 13 points

(You would basically be dividing for both answers)

For question two, the answer is around 6 feet in depth

Step-by-step explanation:

Answer:

1.) 13

2.)either 600 or -600

Step-by-step explanation:

For #1, you would Divide 5 from 65 which equals 13.

For #2, all you practically do is multiply 60 by 10 which equals 600 but since u are going underwater (depth) it would most likely be -600

Hopes This helps :)

Answer:

B

Step-by-step explanation:

It's not going negative you can tell by the line it has y-intercept and the last on didn't the other ones have aa negative. If you have a problem with these kinds of equations just do process of elimination and you'll be fine also here's the answer to another question

Answer:

The third one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

D is moving +4 squares up to go to D'' and same goes for the rest of the letters . if it makes sense kinda confusing but trust it's C

Answer:

Option C: Line s

Step-by-step explanation:

Let's refer to plane H as being 2D since we are dealing with lines.

Thus, x-axis would refer to the horizontal axis while y-axis will refer to the vertical axis.

Now, we are told that line q goes through plane H in the center at point X and that Line t is one that comes out from point X.

This means that line q and line t are parallel to each other.

Also, we are told that Lines r and s are parallel and that they're at a right angles to line q.

Since line q and line t are parallel to each other, it means that lines r and s are at right angles to both lines q and t

Thus, it means lines r and s are both perpendicular to lines q and t

Now, we are told that line p goes through r and s.

However, we want to find which line is parallel to line r.

From earlier statement we saw that lines r and s are parallel to each other.

Thus; correct answer is "line s"

Answer:

C

Step-by-step explanation:

Just did quiz on edge

Answer:

-2

Step-by-step explanation:

Rearrange:4*x+12-(-2*x)=0

Pull out like factors:6x + 12  =   6 • (x + 2)

Solve:x+2=0

Subtract 2 from both sides of the equation:x = -2

Answer:

x = -2

Step-by-step explanation:

4x + 12 = -2x

4x + 12-12 = -2x - 12

4x = -2x - 12

4x + 2x = -2x - 12 + 2x

6x = -12

x = -2

Answer:

$519.948

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

Or you could use desmos scientific calculator

Answer:

37 boxes

Step-by-step explanation:

you should try and write each of the steps into an equation of x. Where x is the boxes she started with

so, she had x boxes, she bought 7 (that's addition) and then half of those boxes (that's division) got destroyed in the fire and she has 22 left (that's your total).

you can write the equation like this:

(x+7)/2 = 22

then, you solve

(x+7) = 44

x = 37

she originally had 37 boxes

Answer:

y=-5x+9

Step-by-step explanation:

Answer:

y=-5x+-9

Step-by-step explanation:

If you notice is says that the line HAS to go through (1,4) but if you need it to go through (-1,4) it would be y=-5x+-1

Answer:b

Step-by-step explanation:f(x)=|x|

Answer:

y=-3/2x-2

Step-by-step explanation:

The correct value of x is 4.

It is required to find the solution.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

The equation is

1 – (2x + 4) = –4x + 5,

we have to find the correct solution of the equation;

According to given question we have,

Step 1: Open the parenthesis we  get,

1 – (2x + 4) = –4x + 5

1-2x-4 = -4x + 5

1-4-2x = -4x +5

-3-2x = -4x + 5

Step 2: Collect like terms we  get,

-2x + 4x = 5 + 3

2x = 8

Step 3: divide both sides by 2 we  get,

2x/2 = 8/2

x = 4

Hence the correct value of x is 4.

Learn more details about algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer: 260

Step-by-step explanation: 39/3 = 13. 13 times 20 = 260.

Answer:

actual answe is root under 2