Two trains, traveling towards each other, left from two stations that are 900
kilometers apart, at 7:00 a.m.. If the rate of the first train is 70 km/h and the
rate of the second train is 90 km/h, at what time will they pass each other

Answer:

[tex]6 \times 3 + 4 = n \\ 18 + 4 = n \\ 22 = n[/tex]

this is 14)

and 15)

n=36+16

n=52

Step-by-step explanation:

1) if total number of the saled tickets is 189, then it is possible to write s+a=189, where s - number of student tickets, a - adult tickets.
2) if the ratio is 4:5, then it is possible to write s:a=4:5;

3) using the two equations it is possible to make up the system:

[tex]\left \{ {{s+a=189} \atop {\frac{s}{a} =\frac{4}{5} }} \right.[/tex]

4) Part A: after solution the system above the number of student tickets = 84; adult tickets = 105.

5) Part B: the revenue from selling the adult tickets is: 105*7=735, the student tickets is: 84*5=420. Then the required difference is: 735-420=$ 315.

The solutions to the equation log (2 x + 1) = 3x-2 are -0.5 and 0.8.

Equation to be solved is:

log (2 x + 1) = 3x-2

The solution to two functions is the corresponding x value where graphs of two functions intersect.

From the attached diagram, we can see that the two graphs intersect at x=-0.5 and x=0.8.

Therefore,the solutions to the equation log (2 x + 1) = 3x-2 are -0.5 and 0.8.

To get more about the solution by graphs visit:

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Answer: it’s B

Step-by-step explanation:

took the test

Answer:

Step-by-step explanation:

See attached image.

Answer:

19.3 + n  = 30.4

Step-by-step explanation:

hope this helps :)

Answer:

30.4/15 = 2 2/75

Step-by-step explanation:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 30.4 by 15 and keep only what is to the left of the decimal point:

30.4 / 15 = 2.026666667 = 2

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

30.4- (15 x 2) = 0.4

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 30.4/15 as a mixed number is:

2 0.4/15 = 2 2/75

Answer:

The answer is B) 8-⁶, hope that helped!

Answer:

The answer is C. 8^6

Answer:

Step-by-step explanation:

Answer:

Value = 4

Step-by-step explanation:

32÷2-12

16-12

4

Here is your Answer:-

4 = whole number 1 = numerator 7 = denominator To convert mixed number 4 1/7 to improper fraction, you follow these steps: Multiply the whole number by the denominator 4 × 7 = 28.

The improper fraction of the mixed number 4 1/7 is given by A = 29/7

A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Given data ,

Let the mixed number be represented as A

Now , the value of A is

A = 4 1/7   be equation (1)

On simplifying the equation , we get

To convert the mixed number to improper fraction ,

A = [ ( 4 x 7 ) + 1 ] / 7

On further simplification , we get

A = [ 28 + 1 ] / 7

A = 29 / 7

Hence , the improper fraction is 29/7

To learn more about mixed numbers click :

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Answer:

3 copies

Step-by-step explanation:

2/3 * 45 is 30

2/5 * 30 is 12

12+30= 42

45-42=3

I believe this is correct

Answer:

3

Step-by-step explanation:

If 2/3 of 45 were sold then what is left is 1 - 2/3 = 1/3 of 45 or (1/3)*45 = 15 copies.

Then 4/5 of 15 were sold and what is left is 1 - 4/5 = 1/5 of 15 or 3 copies.

Answer:

The radius of a rubber ball, r = 4.5 cm

We need to find the volume of this rubber ball.

The formula for the volume of a sphere is given by :

V=\dfrac{4}{3}\pi r^3V=34πr3

Put r = 4.5 cm in the above formula

\begin{gathered}V=\dfrac{4}{3}\pi \times (4.5)^3\\\\V=381.70\ cm^3\\\\\text{or}\\\\V=382\ cm^3\end{gathered}V=34π×(4.5)3V=381.70 cm3orV=382 cm3

So, the volume of this sphere ball is 382\ cm^3382 cm3 .

Answer: 800$ is the answer.

multiply to by both sides, remove 1/2.

Have a blessed day.

Answer:

what is the answer for 6x+4

ANSWER : 2(3x+2)

Answer:

Hi I'm always here to help!!!

_______________________

FACTOR

2(3x+2)

_______________________

Have A Great Day!!

Answer:

51

.....

.....

.....

.....

....

Answer:

m<32

Step-by-step explanation:

Step-by-step explanation:

7cm 5cm 15cm

7cm x 5cm

=35cm

35cm x 15cm

=525cm

Answer:

31. 122

32. 2400 cans

Step-by-step explanation:

31.

fig 1=1

fig 2=10

fig 3=26

fig 4=50

fig 5=82

fig 6=122

32. 520/13=40

40(60)=2400

Answer:

1) (x+5²)=x²+10x+25

2)(m-4²)=m²-8m+16

3)(3y-2²)=3y-4

4)(½y-50)(⅗y+10)=3/10y²-25-500

5)(n-6)(n-7)=n²-13n+42

6)(3d-2)(3d+2)=9d²-4

7)(a-12)(a+12)=a²-144

8)4(3d+1)(3d-1)=36d²-4

9)(2ab+3c)(2ab-3c)=4(ab²)-9c²

10)(2mn-5²=2mn-25

Step-by-step explanation:

1) (x+5²)=

step 1

expand the square

(x+5²)

(x+5)(x+5)

step 2

distribute

(x+5)(x+5)

x(x+5)+5(x+5)

step 3

distribute

x(x+5)+5(x+5)

x²+5x+5(x+5)

step 4

distribute

x²+5x+5(x+5)

x²+5x+5x+25

steps 5

combine like terms

x²+5x+5x+25

x²+10x25

solution=x²+10x25

Answer:7)(FOIL) a^2-144  

7) (distributive property) 0

Step-by-step explanation:

(using distributive property)

(a-12)(a+12)

Rewrite

a(a+12)-a(a+12)

Multiply

a^2+12a-a^2-12a

Combine like terms

a^2-a^2=0

12a-12a=0

0+0=0

0

(expand using FOIL)

(a-12)(a+12)

Front

a*a=a^2

Outside

a*12=12a

Inside

-12*a=-12a

Last

-12*12=-144

Put together

a^2+12a-12a-144

Combine like terms

a^2-144

Answer:

9/4

Step-by-step explanation:

[tex] - 16 {t}^{2} + 28t + 18 = 0[/tex]

[tex] {t}^{2} - \frac{7}{4} t - \frac{9}{8} = 0[/tex]

[tex] {t}^{2} - \frac{7}{4} t = \frac{9}{8} [/tex]

[tex] {t}^{2} - \frac{7}{4} + \frac{49}{64} = \frac{9}{8} + \frac{49}{64} [/tex]

[tex](t - \frac{7}{8} ) {}^{2} = \frac{121}{64} [/tex]

[tex]t - \frac{7}{8} = ± \frac{11}{8} [/tex]

[tex]t = \frac{18}{8} = \frac{9}{4} [/tex]

Answer:

Step-by-step explanation:

The measure of angle ∠WOV is 60 degrees and The measure of angle ∠YOZ is also 60 degrees.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

∠WOX = 30

It can be seen that the ∠XOY and ∠VOX are equal and 90 degrees.

The measure of angle ∠WOV will be

∠WOV + ∠WOX = 90

     ∠WOV + 30 = 90

             ∠WOV = 60

The measure of angle ∠YOZ will be

∠WOX + ∠XOY + ∠YOZ = 180   (Supplementary angle)

          30 + 90 + ∠YOZ = 180

                           ∠YOZ = 60

Cone surface area:

πr(r + s)

= 3,14 × 3 × (3 + 7)

= 3,14 × 3 × 10

= 9,42 × 10

= 94,2 m²

Nt: I from IDN

Let that be x

[tex]\\ \rm\hookrightarrow \dfrac{x}{3}=\dfrac{1}{6}[/tex]

[tex]\\ \rm\hookrightarrow 6x=3[/tex]

[tex]\\ \rm\hookrightarrow x=0.5lbs[/tex]

Answer:

7x+33°+70°=180°

7x= 180°-103°

7x= 77°

x= 11°

..............

Answer:

7. 14. 21.28

Step-by-step explanation:

Multiply 7 four times

Answer:

-6

Step-by-step explanation:

(-1) * (-2) * (-3)

= (2) * (-3)

= -6

Answer:

B: A depth of 7 feet brlow sea level.