Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 kilometres per hour and the other travels at an average speed of 70 kilometres per hour. How long after they leave the station will they be 50 km apart?

Answer:

x(x-2)

Step-by-step explanation:

the common multiple here is the x, notice how it appears in both both terms. thus, we can factor it out of the equation going from x²-2x to x(x-2)

x(x-2)

Im assuming you meant x² - 2x but correct me if i'm wrong!

so x is common in both terms so you can take it out and factorise it.

Hope this helps!

Answer:

Drama club 82 students

yearbook club 100 students

Answer:

Step-by-step explanation:

4)for question 1 there is only a constant terms 2

hence, our answer choice is

5)Whole Numbers are simply the numbers 0, 1, 2, 3, 4, 5, ... (and so on)

hence our answer choices are

6) degree of a expression means the exponent of the expression

since there's no number 3 as exponent

our answer choice is

7) The Standard Form for writing down a polynomial is to put the terms with the highest degree first 

hence our answer choice is

to simplify the expression

remember, law of exponent i.e [tex]\displaystyle x^m\times x^n=x^{m+n}[/tex]

[tex]\displaystyle (5x ^{2} y)(3x ^{3} y ^{4} )[/tex]

simplify:

[tex]\displaystyle 15x ^{2 + 3} y ^{4 + 1} [/tex]

[tex]\displaystyle 15x ^{5} y ^{5} [/tex]

hence, our answer choice is

Step-by-step explanation:

4.constant term=2

2.whole no : 31&0

5.false

7.15x^5y^5

6.standard form =2x^5-8x⁴y³+3x²y

Answer:

8

Step-by-step explanation:

Answer:

 50 %

Step-by-step explanation:

From the diagram attached,

Percentage of total students that like watching television = [(WnR)/μ]×100......... Equation 1

The number of students that like watching television and reading (WnR) = 70

The total number of students (μ) = 40+20+70+10

The total number of students (μ) = 140

Substitute these values into equation 1

Percentage of total students that like watching television = (70/140)×100

Percentage of total students that like watching television = 1/2(100)

Percentage of total students that like watching television = 50 %

Answer:

I can't see the picture. Sorry

Step-by-step explanation:

Answer:

The answer would be :

Y= 1/3X + 11

Answer:

Step-by-step explanation: d

Answer:

4z

Step-by-step explanation:

Answer: 56

Step-by-step explanation:because x=5+3 y=1+6 area of rectangle abcd=xy

8*7=56

Answer:

=−7p−23

Step-by-step explanation:

Answer:

-23 - 7 p

Step-by-step explanation:

Hope it helps!

Answer:

1st girl- 2000

2nd girl- 3000

3rd girl- 7000

Step-by-step explanation:

1) add the ratio given: 2+3+7=12

2) the answer that you get is the whole and it is equal to the total: 12/12=12000

3) so now you'll simplify to get the share of each girl: 12/12=12000, what about 2/12(for the first girl)

12/12=12000, what about 3/12(for the 2nd girl)

12/12=12000, what about 7/12(for the 3rd girl)

4) after getting the answer for each, you can add their shares to see if they are equivalent to the total share

Answer:

√{1254×1254}=√1254²=±1254 is your answer

Step-by-step explanation:

1) Simplify 1254 × 1254 to 1572516.

[tex] \sqrt{1572516} [/tex]

2) Since 1254 × 1254 = 1572516, the square root of 1572516 is 1254.

[tex]1254[/tex]

Therefor, the answer is 1254.

Answer:

Step-by-step explanation:

How are we supposed to know bcuz we dont know how much he is getting an hour so i cant help u sorry you gave us barely any info

Answer:

The answer is below

Step-by-step explanation:

The question would not give a valid answer, the question should be in the form:

A Florida citrus grower estimates that if 30 orange trees are planted, each tree will produce 500 oranges. For each additional tree planted on the same acreage, the number of oranges each tree produces will decrease by 10 oranges. Find the maximum number of oranges the citrus grower can produce. How many trees will the citrus grower need to plant?

Solution:

Let x represent the number of orange trees above 30 to be planted on the acreage and let y be the number of oranges. Since for every additional tree there is a decrease of 10 oranges, hence:

y = (30 + x)(500 - 10x)

y = 15000 - 300x + 500x - 10x²

y = 15000 + 200x - 10x²

The number of oranges is maximum at y' = 0. Hence:

y' = 200 - 20x

200 - 20x = 0

20x = 200

x = 10

Second derivative test = y" = -20 (so this is maximal)

Therefore the number of trees needed = 30 + 10 = 40 trees

Maximum number of oranges = (30 + 10)(500 - 10(10)) = 40(400) = 16000 oranges

Answer:

Step-by-step explanation: this is 150 multiplied by 500

Answer:

cos x

Step-by-step explanation:

sec x - tan x sin x

[tex]\frac{1}{cosx} - \frac{sinx}{cosx} * sinx\\\\\frac{1}{cosx} - \frac{sin^{2}x}{cosx}\\\\\frac{1-sin^{2}x}{cosx} \\\\\frac{cos^{2}x }{cosx} \\\\cosx[/tex]

Answer:

5.35?

Step-by-step explanation:

use a calculator and check it

Answer:

42÷6 derrrrrrrrrrrr lol

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]\sqrt{x}[/tex]

If the given function is vertically stretched by a scale factor of [tex]\frac{3}{2}[/tex] Or 1.5,

Transformed function will be,

h(x) = [tex]\frac{3}{2}[f(x)][/tex]

h(x) = [tex]\frac{3}{2}(\sqrt{x})[/tex]

Further function 'h' is shifted 1 units upwards,

g(x) = h(x) + 1

g(x) = [tex]\frac{3}{2}(\sqrt{x} )+1[/tex]

Domain of the function → x ≥ 0 Or [0, ∞)

Range of the function → y ≥ 1 Or [1, ∞)

Transformations done → Parent function f(x) is vertically stretched by a scale factor of [tex]\frac{3}{2}[/tex] then shifted 1 unit upward.

Answer:

adjacent angle pair is ∠AOD and ∠DOB    (could be any two that are next to each other)

vertically opposite angles are ∠AOD and ∠COB (also could be ∠AOC and ∠DOB

Step-by-step explanation:

Answer:

900 feet

Step-by-step explanation:

300x3=900 she walked 900 feet

Answer:

g

Step-by-step explanation:

i don't know if this right just trying to help

The line cannot be formed by the intersection with plane and a cylinder.

What is intersection of cylinder and a plane?

A cylindric section is the intersection of a plane with a right circular cylinder.

Why line cannot be formed by the intersection with plane and a cylinder?

The intersection will be parallel lines if the plane is parallel to the cylinder's axis, it is impossible.

Because there are no intersecting lines on a cylinder, the intersection of a plane and a cylinder cannot create intersecting lines.

Hence, the option [tex]G[/tex] is correct answer.

Learn more about intersection of cylinder and a plane here,

https://brainly.com/question/2516079

#SPJ2

Step-by-step explanation:

The answer is a (bodmas)

Answer:

4/5

Step-by-step explanation:

it goes up 4 and to the right 5 before it intersects perfectly with both axises

Answer:

24

Step-by-step explanation:

13+11=24

Answer:

33 I hope this helps good luck with the answer

Answer:

i think its 30x

Step-by-step explanation:

3x2=6

6x5=30

Answer:

9x+10

Step-by-step explanation:

JOHN=3X JANE=6X THEIR COMBINED AGE IN 5 YEARS WILL BE 3X+5+6X+5 OT 9X+10