In a morning walk three persons step off together their steps measure 80cm,85cm and 90cm respectively. What is the minimum distance each should walk so that all can cover the same distance in complete steps?

Answer:

(a). y = 5

(b). RS = 28

     ST = 19

     RT = 47

Step-by-step explanation:

(a). There are three points R, S and T on a number line.

Therefore, RT = RS + ST -------(1)

Since, RT = 10y - 3

RS = 5y + 3

ST = 3y + 4

By substituting these values in the equation (1)

10y - 3 = (5y + 3) + (3y + 4)

10y - 3 = 8y + 7

10y - 8y = 7 + 3

2y = 10

y = 5

(b). RS =  5y + 3

           = 25 + 3

           = 28

      ST = 3y + 4

           = 15 + 4

           = 19

      RT = 10y - 3

            = 50 -3

            = 47  

m₁ = 10/3

m₂ = 1/2

6m² - 23m + 10 = 0​

6m² - 2m - 20m + 10 = 0

3m(2m - 1) - 10(2m - 1) = 0

(3m - 10)(2m - 1) = 0

3m - 10 = 0 =>3m = 10 => m₁ = 10/3

2m - 1 = 0 => 2m = 1 => m₂ = 1/2

Answer:

-8

Step-by-step explanation:

Let n = the number.

A number decreased by twelve is twice the opposite of ten.

n - 12 = 2 * (-10)

n - 12 = -20

n = -8

Answer:

Step-by-step explanation:

Answer:

900 feet per hour

Step-by-step explanation:

225×4 = 900

15×4=60

the tortoise's rate of speed is 900 feet per hour

hope that helps.

Answer:

m > 6

Step-by-step explanation:

[tex]3/2m -4 > 4/5 + 7/10m​\\\\\frac{3}{2}m-4>\frac{4}{5}+\frac{7}{10}m\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\\frac{3}{2}m-4+4>\frac{4}{5}+\frac{7}{10}m+4\\\\Simplify\\\\\frac{3}{2}m>\frac{24}{5}+\frac{7}{10}m\\\\\mathrm{Subtract\:}\frac{7}{10}m\mathrm{\:from\:both\:sides}\\\\\frac{3}{2}m-\frac{7}{10}m>\frac{24}{5}+\frac{7}{10}m-\frac{7}{10}m\\\\Simplify\\\\\frac{4}{5}m>\frac{24}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\5\times\frac{4}{5}m>\frac{24\times\:5}{5}\\\\Simplify\\\\4m>24[/tex]

[tex]4m>24\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4m}{4}>\frac{24}{4}\\\\Simplify\\\\m> 6[/tex]

Answer:

2x+8=3x-2

8=x-2  

x=10'

the answer is 10

Step-by-step explanation:

sorry i didnt put an answer at the start

i was in a rush

Answer:

yellow

Step-by-step explanation:

ITS YELLOW IM GOOD AT THIS TRUST ITS YELLOW

Answer:

y = x² + 2x - 48

Step-by-step explanation:

Given the roots of the polynomial are x = 6 and x = - 8 , then the corresponding factors are

(x - 6) and (x + 8) and the polynomial is the product of the factors, that is

y = (x - 6)(x + 8) ← expand using FOIL

y = x² + 2x - 48

Answer:

y=2/5x + 7

Step-by-step explanation:

First, you have to rewrite 2x-5y=15 to slop intercept form.

To do that you have to first subtract 2x from both side to cancel it out.

2x- 2x-5y= 15 -2x.    

-5y= -2x+15

Next, you divide 5 on both side to leave the y by itself.

y= -2x/-5 + 15/-5

Simplify

y= 2/5x + (-3)                     2/5 is our slope

Now that we found the slope, we need to the y-intercept of line b

y=2/5x + b

To find the y-intercept, we substitue x and y with the coordinates (-10,3)

3= 2/5(-10) +b

Now we just solve for b

3= -4 +b

3-(-4) = b

7=b

Now we have identified that 7 is the y intercept

The full equation is y= 2/5x +7

I hope this helped :)

Answer:

[tex]s = \sqrt{2a} [/tex]

Step-by-step explanation:

A = 0.5S^2

2A = S^2

Therefore,

[tex]s = \sqrt{2a} [/tex]

To express the length in terms of the area, is an illustration of change of subject of formula.

The equation that express S in terms of the area is: [tex]S =\sqrt{2A}[/tex]

Given that:

[tex]A = \frac 12S^2[/tex]

First, multiply both sides by 2

[tex]2 \times A = \frac 12S^2 \times 2[/tex]

[tex]2 \times A = S^2[/tex]

[tex]2A = S^2[/tex]

Take positive square roots of both sides

[tex]\sqrt{2A} = \sqrt{S^2[/tex]

[tex]\sqrt{2A} = S[/tex]

Rewrite the equation as:

[tex]S =\sqrt{2A}[/tex]

Hence, the equation that express S in terms of the area is: [tex]S =\sqrt{2A}[/tex]

Read more about subject of formula at:

https://brainly.com/question/21866313

Answer:

2x +  y = 11

a² + b = 9

Step-by-step explanation:

I solved these by using order of operations and subsitution.

Answer: X = 3

Step-by-step explanation:

3(2-x)=5(2x-7)+ 2

First, distribute

6-3x = 10x -35 + 2

Now subtract and add

6+35-2= 10x-(-3x)

Which gives

39= 13x

X=3

Hope this helps!

Answer:

Their place values

Step-by-step explanation:

On eight is in thousands while the other is in hundreds

Answer:

"8" on the left is ten times the value of the "8" on the right

Step-by-step explanation:

I am going to assume that the comma " , " denotes divisions of "thousands" and not the European system where the comma represents a decimal point.

(refer to attached for definitions of place values)

we can see that for the number 8,809 :

1) the 8 on the left is in the thousands place and hence represents 8000.

2) the 8 on the right is in the hundreds place and hence represents 800.

in order to find the relative order of difference between the two digits, we simply we divide the value of the two digits:

8000 ÷ 800 = 10

Hence the "8" on the left is ten times the value of the "8" on the right

Answer:

[tex]1\frac{1}{15}[/tex]

Step-by-step explanation:

[tex]\frac{7}{5}+\frac{2}{3}-1\\[/tex]

Convertir elemento a fracción: 1 = 1/1

[tex]=-\frac{1}{1}+\frac{7}{5}+\frac{2}{3}[/tex]

Mínimo común múltiplo de 1,5,3 = 15

Ajustar fracciones según el mcm

[tex]=-\frac{15}{15}+\frac{21}{15}+\frac{10}{15}[/tex]

Dado que los denominadores son iguales, combine las fracciones:

[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\= \frac{-15+21+10}{15}\\\\[/tex]

Sumar Restar los números: -15 + 21 + 10 = 16

[tex]=\frac{16}{15}\\\\16\div 15 = 1 \: remainder 1\\\\=1\frac{1}{15}[/tex]

Answer: A) a number is negative

Step-by-step explanation:

A conditional statement is written as:

If P, then Q.

Where P is the hypothesis and Q the conclusion.

In this case, we have:

If a number is negative, then the number is less than zero.

then we have:

P = a number is negative.

Q = the number is less than zero.

Then the hypothesis will be "a number is negative"

The correct option is A.

Answer:

number is negative

Step-by-step explanation:

Answer: function

Step-by-step explanation: To determine whether the relation shown here

is a function, remember that a relation is a function if each x term

corresponds to exactly one y term.

In the data set show, each x term, -2, 9, 1, 3, and 10 appears only once.

This means that each x term corresponds to exactly one y term.

So yes, the relation is a function.

Answer:

milk to oil - correctly shows ratio 3:1

Answer:

B 2/7 <3/1

Step-by-step explanation:

Answer:

TC = 36t + 25

Step-by-step explanation:

The amount paid by Carla as a storage fee or fixed cost = $25

Monthly rent or variable cost = $36

Let the number of months = t

Now we have to find the expression that represents the total cost. Below is the formula to find the expression.

Total cost = Variable cost + Fixed cost

Total cost = 36t + 25

TC = 36t + 25

Answer:

y=3/5

Step-by-step explanation:

9y+6=9+2y+2y

9y+6=9+4y

9y-4y=9-6

5y=3y=3/5

Answer: P(x) has a constant rate of change, but A(x) does not

Step-by-step explanation:

Answer and Step-by-step explanation: Midpoint is the middle point in a segment line, i.e., it is at the center of a segment line.

On a baseball field, distance between home plate and second base is 127.28ft. The midpoint will be:

midpoint = [tex]\frac{127.28}{2}[/tex]

midpoint = 63.64ft

To be the midpoint, pitcher's mount must be 63.64ft away from the home plate. Since it's less than that, pitcher's mount is not the midpoint between home plate and second base.

Answer:

Step-by-step explits its C.130%anation:

Answer:

1.37 * 10^10 years.

Step-by-step explanation:

Billion = 9 zeroes

13.7 billion = 13.7 * 10^9 = 1.37 * 10^10.

Answer:

There are 76 oatmeal raisen cookies altogether.

Step-by-step explanation:

4 + 11 = 15

285/15 = 19

19 * 4 = 76