A 1/2-mile long train enters a 2-mile long tunnel traveling at a speed of 10 mi/h. How many minutes pass from the time the front of the first train car enters the tunnel until the rear of the last train car exits the tunnel?

Answer:

0.375 and 37.5%

Step-by-step explanation:

3/8 = 0.375

0.375*100=37.5%

Answer:

11:37.02 pm

Step-by-step explanation:

11:59 pm - 21:58 minutes = 11:37.02 pm

Step-by-step explanation:

12x-3y+z＝-7 ‖-12x+3y

z＝-7-12x+3y

so you can replace z with (-7-12x+3y)

4y+3*(-7-12x+3y)＝-7

4y+(-21-36x+9y)＝-7

13y-21-36x＝-7 ‖+21

13y-36x＝14 ‖-13y

-36x＝14-13y ‖*(-1)

36x＝-14+13y ‖/3

12x＝-14/3+13/3y

so-6x＝+14/6-13/6y

(+14/6-13/6y)+2y-2*(-7-(-14/3+13/3y)+3y)＝12

(+14/6-13/6y)+2y+14-28/3+26/3y-6y＝12

(+14/6-13/6y)+2y+14-56/6+52/6y-6y＝12

7+2.5y＝12 ‖-7

2.5y＝5 ‖/2.5

y＝2

so

4y+3z＝-7

4*2+3z＝-7

8+3z＝-7 ‖-8

3z＝-15 ‖/3

z＝-5

12x-3*2+(-5)＝-7

12x-6-5＝-7

12x-11＝-7 ‖+11

12x＝4 ‖/12

x＝1/3

Answer:

[tex]x = 30^{\circ}[/tex]

Step-by-step explanation:

Given

Parallel lines A and B

Required

Determine the value of x

From the attachment, 2x and 4x are consecutive interior angles and the theorem of consecutive interior angles is that:

[tex]2x + 4x = 180[/tex]

Solving further, we have:

[tex]6x = 180[/tex]

Divide both sides by 6

[tex]\frac{6x}{6} = \frac{180}{6}[/tex]

[tex]x = \frac{180}{6}[/tex]

[tex]x = 30^{\circ}[/tex]

Answer:

15 possible combinations

Step-by-step explanation:

Given

[tex]Vegetables = 6[/tex]

[tex]Selection = 2[/tex]

Required

Determine the possible number of combinations

The question emphasizes on "selection" which means "combination".

So; To answer this question, we apply the following combination formula:

[tex]^nC_r = \frac{n!}{(n-r)r!}[/tex]

In this case:

[tex]n = 6[/tex]

[tex]r = 2[/tex]

The formula becomes:

[tex]^6C_2 = \frac{6!}{(6-2)!2!}[/tex]

[tex]^6C_2 = \frac{6!}{4!2!}[/tex]

[tex]^6C_2 = \frac{6*5*4!}{4!2*1}[/tex]

[tex]^6C_2 = \frac{6*5}{2}[/tex]

[tex]^6C_2 = \frac{30}{2}[/tex]

[tex]^6C_2 = 15[/tex]

Hence, there are 15 possible combinations

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since AB and ED are parallel and AE is the transversal, angle A and E are congruent

So m∠E = m∠A = 50°

The value of angle E is 50.

An angle is a combination of two rays (half-lines) with a common endpoint.

Given:

ΔCAB ~Δ CED

AB || CD

As, ΔCAB ~Δ CED

So, the corresponding angle is equal.

<A = <E

<B= <D

So, <A= <E =50. (given)

Hence, the m<E =50.

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Answer:

I believe the answer would be

Step-by-step explanation:

a graph that goes up and then is a straight line then it goes down.

In other words the graph would be A.

Given :

June's mother was 29 when June was 5 years old.

To Find :

How old will June be when she is one-quarter her mother's age.

Solution :

Let, age of June when she is one-quarter her mother's age is x and mother's age is y.

So, y = 4x   ...1)

Also, we know that difference between two person's age is constant.

So, y - x = 29-5

y - x = 24    ...2)

Solving equation 1 and 2, we get :

[tex]4x -x = 24\\\\3x = 24\\\\x = 8[/tex]

y = 32

Therefore, June will be 8 years old when is one-quarter her mother's age.

Answer:

x+16=4x-5

16+5=3x

21=3x

21/3=x

x=7

Answer:

Total tax = $25.51

Step-by-step explanation:

Total collection = $1265.23

Tax-Free amount =  $840

so

Taxable amount = $1265.23 -  $840

                            = $425.23

Given that the taxable amount was taxed at 6%

Thus,

The total tax = 6% of 425.23

                     = 6/100 × 425.23

                     = 0.06 × 425.23

                      = $25.51

Therefore,

Answer:

16/12

Step-by-step explanation:

SOHCAHTOA

TOA - tan theta = Opposite/ Adjacent

Tan theta = 16/12

= 16/12

if you were told to find theta, then

tan inverse ( 16/12)

theta will be 53.13 degrees

The tangent of the given right angle triangle is [tex]\frac{16}{12}[/tex].

A right angle triangle is a triangle in which one of the three angles is a right angle.

"In any right angle triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'."

Given, Base of the right angle triangle is = 12.

The height of the right angle triangle is = 16.

The hypotenuse of the right angle triangle is = 20.

The angle between the base of the triangle and the hypotenuse is = θ.

Now,  tan θ

[tex]= \frac{Height}{Base}\\= \frac{16}{12}[/tex]

Therefore, tan θ of the given right angle triangle is  [tex]\frac{16}{12}[/tex].

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Answer:

(-3/2, -11/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = x - 4

y = 4x + 2

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer by Khan Academy:

x=−2

y=−6

​ Hope This Helped Everyone

Step-by-step explanation:

w=2

Step-by-step explanation:

-w=-10+4w

10=4w+w

10=5w

10/5=w

2=w

Answer:

HI

Step-by-step explanation:

In a triangle, the length size of each side corresponds to the size of the degree of the angle opposite it.

This means, the biggest angle would be opposite the side with the longest length, while the angle with the least degree will be opposite the side that is the smallest.

In ∆HIJ, the least angle measure is <J (54°).

Side length opposite to <J is HI.

Therefore the smallest side of ∆HIJ is HI

Answer:

74

Step-by-step explanation:

its easy so you add 23 and 51 and you got the answer.

Answer:

5001

PewDiePie

both!!

rblx, since there r similar games like mincraft in it lol

Answer:I want brainlest,5001 SUPA HARD pewdiepie (i subed)

I prefer minecraft i like both

Step-by-step explanation:

Not sure if thats what u wanted lol :D

Answer:

2,206 yards

Step-by-step explanation:

To find how many yards there are, we can divide by 3.

6618 / 3 = 2206

Best of Luck!

Answer:

6,618 feet is 2,206 yards.

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer:

(x-4)(5x³+18x²+54x+215)+860

Step-by-step explanation:

This follows that when the fourth degree polynomial is divided by the monomial(x-4),it gives a third degree polynomial and some remainder r

That is:

5x⁴-2x³-18x²-x/x-4=(ax³+bx²+cx+d)+r

if so,then

5x⁴-2x³-18x²-x=(x-4)(ax³+bx²+cx+d)+r

5x⁴-2x³-18x²-x=ax⁴+bx³+cx²+dx-4ax³-4bx²-4cx-4d+r

5x⁴-2x³-18x²-x=ax⁴+x³(b-4a)+x²(c-4b)+x(d-4c)-4d+r

We can now equate the similar terms thus,the terms with the same power of x on both sides

5x⁴=ax⁴,a=5

Again,

b-4a=-2,but a=5

b-4(5)=-2

b-20=-2

b=18

Again,

c-4b=-18(but b=18)

c-4(18)=-18

c-72=-18

c=54

Again,

d-4c=-1(but c=54)

d-4(54)=-1

d-216=-1

d=215

Finally,

-4d+r=0(but d=215)

-4(215)+r=0

r-860=0

r=860

This means that when 5x⁴-2x³-18x²-x is divided by x-4,it gives5x³+18x²+54x+215 with a remainder of 860

Now rewriting it in the form as required by the question=(x-4)(5x³+18x²+54x+215)+860

Answer:

A linear equation is of the form:

y = a*x + b

Where a and b are real numbers, and we only have one term with x, and no powers of x larger than 1.

Let's rearrange all the given options to see if they take this form. I will isolate x for all of them.

a) 2x + 5y = 13

5y = -2*x + 13

y = (-2/5)*x + 13/5

(this is a linear equation)

b) -x^2 = 3y + 10

 -3*y = x^2 + 10

y = (-1/3)*x^2 + 10/3

(this is not a linear equation)

c) 3(2x + y) = 14

 6x + 3y = 14

 3y = 14 - 6x

y = (-6/3)*x + 14/3

(this is a linear equation)

d) y = 13 - 2*x^2

(this is not a linear equation, we have a x^2 there)

e) 2 = y + x^5

-y = x^5 - 2

(this is not a linear equation, we have a x^5 there)

f) y = x + 7

we can rewrite this as:

y = 1*x + 7

(this is a linear equation)

Answer:

i just wanted to say, that I took the test and A and F are correct, but C (the person above me says C is correct) is not correct

Step-by-step explanation:

Answer:

x=27 km

Step-by-step explanation:

Make an equation 2/.015=3600/x

Multiply 3600 by .015 to get 54

Divide 54 by 2 to get 27.

9514 1404 393

Answer:

  27 km/h

Step-by-step explanation:

(15 m)/(2 s) = (15 m)/(2 s)×(1 km)/(1000 m)×(3600 s)/(1 h)

  = (15×1×3600)/(2×1000×1) km/h = 15×1.8 km/h = 27 km/h

Answer:

This is the sample answer:

The new histogram shows that 7 trucks have a fuel efficiency of 10 to 14 miles per gallon. It’s also possible to see that the shape of the data is skewed right.

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

4 * 100 / 32 = 12.5

Step-by-step explanation:

.

The centroid is 2/3 of the opposite side. of the distance from each vertex to the midpoint. 8. To inscribe a circle about a triangle, you use the.

5 pages·2 MB

The complete statement is: the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side

The properties of a centroid are:

The second highlight above means that: the statement is to be completed with 2/3

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