Place the steps in solving the following equation in the correct order (from top to bottom).

Answer:

(A) 120 mph

(B) -120 mph

(C) 12 hours 5 minutes.

Step-by-step explanation:

Given that,

New York and California are 2900 miles apart,

Both the trains A as well as B travel at an average speed of 120 mph.

Assuming that the path between the starting point in New York and the ending point in California is straight, so the given distance of 2900 miles is actually the shortest distance which is the displacement between the source and destination.

So, the given speed on the straight path is actually the velocity.

Assuming that the velocity is positive in the direction from New York towards California.

(A) So, the velocity of train A (towards California)  = 120 mph.

(B) The velocity of train B (towards New York) = -120 mph.

(C) Bothy are moving towards each other, so the relative velocity between them is 120+120=240 mph, and the initial distance between them is 2900 miles.

When they meet, the displacement between them becomes zero, displacement covered= 2900-0=2900 miles.

So, the time, t, taken to cover the displacement 2900 miles with a relative velocity of 240 mph is

[tex]t=\frac{2900}{240}[/tex] [as time= displacement / relative velocity]

[tex]\Rightarrow t=12\frac{1}{12}[/tex] hours

=12 hours 5 minutes.

Answer:

%15.5

Step-by-step explanation:

200+(200x)=231

*x is the interest rate

so let's break down this question by going backwards. we can subract 200 from both sides since we cann easily get rid of +200. so you would get:

200x= 31

Now divide both sides by 200 to eliminate anything else, just to keep x alone.

x= 0.155

and a percent it would be %15.5

and to check:

200+(200*0.155)= 231

Answer:

im scared

Step-by-step explanation:

I hose french for middle school and i feel like im gonna die

Answer:

Step-by-step explanation:

if Points X and Z are on a number line and point Y partition line XZ into two parts where XY: YZ = 1:4, this can be expressed as;

XY/YZ = 1/4

cross multiply;

YZ = 4XY

Also, if The coordinate of X is 1.3, and the coordinate of Y is 3.8, then the distance XY will be expressed as XY = 3.8 - 1.3

XY = 2.5

YZ = 4(2.5)

YZ = 10

Since Y is at 3.8 and YZ is 10, then coordinate Z will be YZ + Y

coordinate of Z = 10+3.8

coordinate of Z = 13.8

The expression of the quantifications in English will be:

Quantification simply means an important component of the mathematical language. The two commonly used quantifiers in mathematics are the universal quantifier (∀) as well as the existential quantifier (∃).

The expression of the quantifications in English is illustrated above.

Learn more about quantifications on:

https://brainly.com/question/4095022

Answer:

10x-2+2x+18

=10x+2x+18-2

=12x+16

Answer:8x-16

Step-by-step explanation:

Answer:

Yes they are equivalent.

Step-by-step explanation:

They each represent one half.

Answer:

40 grams of 40% sugar syrup

Step-by-step explanation:

20% of 30 grams = 6grams of sugar

6 grams + 10 grams = 16 grams of 40% instead of 30 now

Therefore, 40g----------100%

                  16g-----------40%

Answer:

   40 grams of 40% sugar syrup

Step-by-step explanation:

40 grams of 40% sugar syrup

30+10== 40 g  

20% sugar in 30  =  1/5 of the syrup is sugar. = 6 g of sugar

6+10 =  16g of sugar in 40 grams of syrup.

16/40=x/100

Cross multiplication

x=40

R= d) -8, -7, -6, -5.

Answer:

729

Step-by-step explanation:

number of members increased by ❌ number of weeks

Answer:

this is so hard what grade are you in

The function that shows this situation is given by Q(t) = 3.5t + 55

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let Q(t) represent the total number of boxes, and t is the time since noon in hours.

A warehouse contains 55 boxes, hence b = 55. At 3:30 pm (3.5 hours), the warehouse contains 90 boxes.

90 = 3.5m + 55

m = 10

The function that shows this situation is given by Q(t) = 3.5t + 55

Find out more on linear equation at: https://brainly.com/question/12788590

Answer:

5 units

Step-by-step explanation:

(x1, y1) =A(2,3)

(x2,y2) =B(-1,-1)

Using distance formula,

AB^2 = (x2-x1) ^2 +(y2-y1) ^2

=(-1-2)^2 +(-1-3)^2

=9+16

=25

Therefore, AB=5 units

Answer:

12 movies

Step-by-step explanation:

Given

VIP

[tex]Base\ Amount = \$27[/tex]

[tex]Per\ movie = \$6[/tex]

Regular

[tex]Per\ movie = \$8.25[/tex]

Required

Determine the number of movies where they pay the same amount

Represent the number of movies with m.

For VIP, we have..

[tex]Expression = 27 + 6 * m[/tex]

[tex]Expression = 27 + 6m[/tex]

For regular, we have

[tex]Expression = 8.25 * m[/tex]

[tex]Expression = 8.25m[/tex]

Equate both expressions

[tex]8.25m = 27 + 6m[/tex]

Collect Like Terms

[tex]8.25m - 6m = 27[/tex]

[tex]2.25m = 27[/tex]

Solve for m

[tex]m = 27/2.25[/tex]

[tex]m = 12[/tex]

Answer:

well i don't exactly know but its best to ask your teacher for help <3

Step-by-step explanation:

Answer:

[tex]8*16 = 128\\ or\\ 8*4 = 32\\ lastly,\\ 8 x 2 = 16[/tex]

these are the 3 ways to find the value of a multi-number parenthesis expression. Remember your PEMDAS.

PEMDAS Meaning

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

81%

Step-by-step explanation:

First, let's set up 3 equations:

w*0.6 = x

x*1.5=y

y*0.9=z

Now, we can substitute x in the second equation for w*0.6:

w*0.6*1.5 = y

Lastly, we can substitute y in the last equation for w*0.6*1.5:

w*0.6*1.5*0.9=z

w*0.81=z

Therefore, z is 81 percent of w.

Step-by-step explanation:

Since angles opposite congruent sides in a triangle are congruent, w=67.

Now, since the sum of the measures of the interior angles of a triangle is 180 degrees, x=180-67-67=46

Answer:

1.7 kg

Step-by-step explanation:

3/4 of 6.8 is 1.7 kg so that means the farmer sold 1.7 kg of apples

Answer: (3)

Step-by-step explanation:

Answer:

Percentage of light that penetrates at 150 m will be 0.94%.

Step-by-step explanation:

By using logarithmic regression calculator,

Equation of the regression line will be,

y = 104.5173 - 20.6711(lnx)

Where x represents the depth of the ocean

And y will represent the penetration of light

Therefore, at the depth of 150 m, penetration of the light will be,

y = 104.5173 - 20.6711[ln(150)]

  = 104.5173 - 103.5753

  = 0.9420

  ≈ 0.94 %

Therefore, percentage of light that penetrates at 150 m will be 0.94%.

Answer:

9/13

Step-by-step explanation:

Everything that crossed the equal sign past with an opositive value.

41-23=18

27-p= 26

18/26

9/13

Answer:

_Given data: _

The bridge has a span, s = 140 feet

Maximum height of the bridge, h = 25 feet

Let the vertex is,

V

=

(

0

,

25

)

Step-by-step explanation:

Answer:

You are subtracting because your going left and how I remember this is latitude flatitude it weird but thats how I remember.

Answer:66.67%

Step-by-step explanation:What percent of the games did the team win? Question 1114417: A baseball team has won 20 games and lost 10 games. What percent of the games did the team win? = 66.67%.

Answer:

Deducir ecuación de área del cuadrado/Despejar y calcular longitud de lado/Deducir ecuación de perímetro/Calcular perímetro del cuadrado.

Perímetro: 44 pies cuadrados.

Step-by-step explanation:

Podemos explicarle al papa de Rafael lo siguiente:

Estimado señor.

Una piscina de forma cuadrada tiene la forma de un cuadrilátero con cuatro lados iguales y cuatro ángulos rectos en sus vértices. El área del cuadrado es igual a la longitud de cualquiera de sus lados multiplicada por si misma. Es decir:

[tex]A = l\cdot l = l^{2}[/tex] (Eq. 1)

Entonces, la longitud de cualquiera de sus lados es la raíz cuadrada del área de su piscina. Es decir:

[tex]l =\sqrt{A}[/tex] (Eq. 1b)

Donde [tex]l[/tex] y [tex]A[/tex] son la longitud de lado y el área de la piscina, medidos en pies y pies cuadrados, respectivamente.

Si sabemos que su piscina tiene un área de 121 pies cuadrados ([tex]A = 121\,ft^{2}[/tex]), entonces la longitud del lado de piscina es:

[tex]l = \sqrt{121\,ft^{2}}[/tex]

[tex]l = 11\,ft[/tex]

Tenemos que la longitud del lado es 11 pies.

Ahora, el perímetro es la suma de las longitudes de los lados del cuadrado. Si el cuadrado tiene 4 lados de igual medida, entonces el perímetro del cuadrado es igual a cuatro veces esa longitud. Esto es:

[tex]p = 4\cdot l[/tex] (Eq. 2)

Donde [tex]p[/tex] es el perímetro, medido en pies.

Si conocemos que la longitud del lado es 11 pies ([tex]l = 11\,ft[/tex]). En consecuencia, encontramos que el perímetro de su piscina es:

[tex]p = 4\cdot (11\,ft)[/tex]

[tex]p = 44\,ft[/tex]

El perímetro de su piscina es de 44 pies.

Answer:

[tex]\frac{AD}{AB}[/tex] = 3

Step-by-step explanation:

from the diagram

the horizontal distance AD = 9

the horizontal distance AB = 3

[tex]\frac{AD}{AB }[/tex] = [tex]\frac{9}{3}[/tex] = 3

Answer: D. 4x + 15 = 3 - 6x

Step-by-step explanation: