Amtrak: 80 miles in 5 hours
Metra: 30 miles in 2 hours

Which train is faster? How do you know?

Answer:

Step-by-step explanation:

Assuming the parking lot is along both widths of the field and only once along the length:

the length is (300 - 2x)

the width is (200 -x)

the area is (300-2x)(200-x) = 30000

         60000 -300x - 400x +2x^2 = 30000

        2x^2 -700x + 30000 = 0

         x^2 - 350x + 15000 = 0

          (x    -   300    )(x   -    50    ) = 0

             x = 300 or x=50

x=300 results in negative measures.

the parking lot is x=50 wide

the length of the field is 200, the width of the field is 150

Answer:

The alternative hypothesis is; Hₐ;

[tex]\hat p[/tex] > 60%

Step-by-step explanation:

The given hypothesis of the number of Americans that vote in the presidential election is;

Hypothesis; At most 60% of Americans vote in the presidential elections

Therefore, the hypothesis states that the percentage of Americans that vote in the presidential ≤ 60%

The given hypothesis is the null hypothesis due to the presence of one of the operators ≤, ≥, or =

The null hypothesis is therefore, H₀: [tex]\hat p[/tex] ≤ 60%

Therefore, the alternative hypothesis is; Hₐ; [tex]\hat p[/tex] > 60%.

Answer:

18a(2bc+3d)

Step-by-step explanation:

36abc + 54ad = ?

Rewrite as ;

=2*18abc+3*18ad

Factor out common term 18a

18a(2bc+3d)

I HOPE THIS HELPED!!!

Answer:

45°

Step-by-step explanation:

made a special triangle 45-45-90,

Answer:

45.6 degrees

Step-by-step explanation:

see image

Answer:

-12

Step-by-step explanation:

I believe they multiply each term by -3/1

4/1 * -3/1 = -12/1 = -12

Answer:

60.22in^2.

Step-by-step explanation:

First, find the area of the rectangle. 14.1x7=98.7.

Then, we need to find the area of the circle and subtract it from the area of the rectangle.

The area of the circle is pi*r^2. so, pi*3.5^2 is about 38.48. (The radius is half of the diameter, so the radius would be 3.5).

Since there are two halves of the circle, we can just subtract 38.48 from 98.7 so get the area of the shaded region. So, the area of the yellow area is 60.22in^2.

Find rectangle area: 14.1 x 7 = 98.7

Find areas of semicircles: a = 3.14(3.5)^2 = 76.96

Subtract area of semicircles: 98.7 - 76.96 = 21.74

Answer:

Yes, distance in yards can be obtained by multiplication.

Step-by-step explanation:

Given that the distance between tow points is 90 feets, The distance between these two points in yards can be obtained either by multiplication or division.

I foot = 0.3333 yards

To convert distance between the second and third bases from feet to yard ;

Multiply distance in feets by 0.3333 to obtain the corresponding distance in yards ;

90 * 0.3333 = 29.997 = 30 yards

Answer:

Step-by-step explanation:

According to Triangle Inequality Property:

Measurement of any two sides of the triangle should be greater than the third side

So,

For 2.5,

6 + 4 = 10 > 2.5

4 + 2.5 = 6.5 > 6

6 + 2.5 = 8.5 > 4

For 4,

6 + 4 = 10 > 4

4 + 6 = 10 > 4

4 + 4 = 8 > 6

While for 1 and 2,

4 + 1 = 5 < 6

and

4 + 2 = 6 = 6

Hence,

Only 2.5 and 4 are the possible measurements.

Answer:

120 euros

Step-by-step explanation:

X= 100% del precio (antes de la rebaja)

Pagaste el 85% pues habia descuento del 15%

85%--------------102

100%---------------x

CROSS MULTIPLICATION

85X  =  10200

Divide cada parte por 85

x= 120

Teniendo en cuenta la definición de descuento, el precio antes de la rebaja era 120 €.

En una operación de descuento, el valor que se paga después de haberle practicado el descuento se denomina “valor actual”.  

Recordando que el porcentaje representa una parte del total, el valor actual se puede calcular multiplicando el porcentaje a descontar por el precio original,  al cual luego se divide por cien. Finalmente, se resta al precio original este valor de descuento calculado. De esta manera se averigua el precio de venta.

Entonces, sea el precio original del producto p. Por lo que el descuento del precio original será:

15% de p= (15×p) ÷10

Sabiendo que se ha pagado 102 € por el pantalón, entonces:

p - (15×p) ÷10 = 102

Resolviendo

p - 0,15×p= 102

0,85×p= 102

p= 102÷0.85

p= 120

Finalmente, el precio antes de la rebaja era 120 €.

Aprende mas con estos ejemplos:

Answer:

The answer is 2518.66666667.

Step-by-step explanation:

Answer:

If you meant 7556 divided by 3, then the answer is 2518  2/3

Step-by-step explanation:

Answer:

$10,277.32

Step-by-step explanation:

Given the revenue and cost function

R(x) = -31.72x^2 + 2,030x

C(x) = -126.96x + 26,391

The profit function is expressed as;

P(x) = R(x) - C(x)

P(x) = -31.72x^2 + 2,030x-(-126.96x + 26,391)

P(x) = -31.72x^2 + 2,030x+126.96x - 26,391

P(x) = -31.72x^2 + 2,030x+126.96x - 26,391

P(x) = -31.72x^2 + 2,156.96x - 26,391

To have maximum profit, d

The maximum profit dP/dx = 0

dP/dx = -63.44x+2156.96

-63.44x+2156.96=0

63.44x = 2156.96

X = 2156.96/63.44

x = 34

Get the profit

P(34) = -31.72(34)² + 2,156.96(34)- 26,391

P(34) = -36668.32+73336.64-26391

P(34) = 10,277.32

Hence the maximum profit that can be made is $10,277.32

Answer:

length is longer

Step-by-step explanation:

length is llonger than dimensions

Answer:

length, is how tall it is....... dimensions is like lenght width and depth

Step-by-step explanation:

a line going up would eb the length,

dimentsions....l lengths...._ width ..... depth /

Answer:

thats nice??

Step-by-step explanation:

Answer:

See below for answers

Step-by-step explanation:

Do you mean [tex]f(x)=2sin(x-1)[/tex] or [tex]f(x)=2sin(x) -1[/tex]?

Use the formula [tex]f(x)=asin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex]-\frac{c}{b}[/tex] is the phase shift, [tex]d[/tex] is the vertical shift, and the period is [tex]\frac{2\pi}{|b|}[/tex].

Assuming your first case is true, the amplitude would be [tex]|a|=|2|=2[/tex], your period is [tex]\frac{2\pi}{|1|}=2\pi[/tex], and your midline/vertical shift is [tex]d=0[/tex].

Assuming your second case is true, everything but the vertical shift stays the same. It would be [tex]d=-1[/tex] in this case.

Answer:

use your formula and plug it in and solve it

Step-by-step explanation:

Answer:

[tex]f{x} = x + 3 = 0 \\ x = - 3 \\ f( - 3) = 3( - 3) {}^{2} + k( - 3) + 19 = 37 \\ f( - 3) = 27 - 3k + 19 = 37 \\ f( - 3) = 46 - 3k = 37 \\ f( - 3) = 46 - 37 = 3k \\ f( - 3) = 9 = 3k \\ f( - 3) = k = 3[/tex]

We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:

(5 + (-3)) / 2 = 2 / 2 = 1

So this locus is the single vertical line y = 1.

Answer:

y = 1.

Step-by-step explanation:

We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:

(5 + (-3)) / 2 = 2 / 2 = 1

So this locus is the single vertical line y = 1.

Answer: 4/16 or 1/4 (simplified)

Answer:

1/4

Step-by-step explanation:

put # of green over total # of marbles in bag

4/16 and simplify by dividing both by 4

1/4

Answer:

Just put the opposite coordinates on the other side of the segment and thats your answer!

Step-by-step explanation:

Answer:

(-2,10)

Step-by-step explanation:

Answer:

y=(-7/2)x+3

Step-by-step explanation:

7x+2y-3=0

7x+2y=3

2y=-7x+3

y=(-7/2)x+3

Answer:

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )

2y = - 7x + 3 ( divide each term by 2 )

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form

Answer:

C is the answer

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

Answer:

70 problems are correct

Step-by-step explanation:

Answer:

99

Step-by-step explanation:

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51 ,53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99

Just go up 2 numbers 50 times

Answer:

A. $2.25

Step-by-step explanation:

If you subtract $7.50 from $18.75 you get $11.25, then divide that by 5 and you'll get $2.25.

Hope this was useful.

Answer:

The answer would be $2.25

Step-by-step explanation:

If you multiply 2.25 with 5 you get 11.25 so now you just add the 7.50 to it and that's how you get 18.75

Answer:

A. octagon would be formed by a cross-section parallel to the base of a octagonal pyramid.

Answer:

5.625 is the correct answer to convert five whole five over eight from fraction to decimals.

Step-by-step explanation:

=5/8+5

=0.625+5

=5.625#