if you can travel 25 miles in 35 minutes, how long should it take you to travel 12 miles?

Answer:

The HCF of two numbers a and b is 1 What is their LCM

If HCF (a,b) = 1 then the LCM =ab

Step-by-step explanation:

The HCF of a and b is 1

here, as no common term can be found.

therefore, L.C.M = a×b or (ab)

Answer:

In this problem, we can assign X to the son’s age and Y to the father’s.

We know that a father is 3 times as old as his son.

Therefore, we can create the equation 3X=Y.

We must now create a second equation from the remaining information, being “In 12 years he will be twice as old as his son”. We know we can add 12 years, along with including 2X in the equation.

The equation that we can gather from this second piece of information will be Y=2X+12. This is because the father’s age, in 12 year’s time, will be twice that of the child.

Now we have our two equations:

Y=3X

Y=2X+12

Because both equations are set equal to the age of the father, we can use the substitution method to solve in terms of the son’s age, as follows:

3X = 2X+12

Now we subtract 2X from each side to isolate the variable:

X=12

The son’s age is therefore 12 years old. Should we plug that age back into our first equation, we get Y=3(12) or Y=36.

The father’s present age is 36, while the son’s present age is 12.

The current age of the father is 12, while the age of the son is 0.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let say,

X = age of sun

Y = age of father

Given that

A father's age now is three times the age that his son was 4 years ago

So,

Y = 3(X -4)

Y = 3X - 12

And  In 12 years, the father will be twice as old as his son

Y + 12 = 2( X + 12 )

Y = 2X - 12

From booth equation

X = 0 and Y = -12 which is not practical so Y =12

For more about equation

brainly.com/question/2263981

#SPJ2

Answer:

answer is neither, they are both the same shade.

Step-by-step explanation:

if she doubled the colors exactly then it wouldn't be any different. Also IXL told me I'm right :)

Answer:

Neither.

Step-by-step explanation:

Originally, she used the same amount. For the second one, she used double the same amount, but it was still the amount of red wax as of white wax. So, they both had the same amount, which means it is neither.

Answer:

the awnser is d 1000 pediatricians

Answer:

3.125 was Jeter's batting average

Step-by-Step Explanation:

Just divide his bat number with the total hits

So, ---> 500 at bats / 160 hits

500/160 = 3.125

Answer:

So the equation of the parabola is x2=8y i don't really know

Answer:

false it would be something like x root 2

Step-by-step explanation:

Al plantear un sistema de ecuaciones lineales, encontramos que el número de obreros que contrató el ingeniero civil fue 50.

Para encontrar el número de obreros que el ingeniero contrató debemos plantear un sistema de ecuaciones lineales de dos ecuaciones con dos incógnitas, tal como sigue:

[tex] M - 1400*x = -8000 [/tex]   (1)

[tex] M - 1200*x = 2000 [/tex]   (2)

En donde:

M: es la incógnita igual al monto de dinero del ingeniero

x: es la incógnita igual al número de obreros

De la ecuación (1) tenemos:

[tex] M = 1400*x - 8000 [/tex]   (3)

Podemos encontrar el valor de x (número de obreros), introduciendo la ecuación (3) en la ec (2):

[tex] 1400*x - 8000 - 1200*x = 2000 [/tex]

[tex] 200*x = 10000 [/tex]

[tex] x = 50 [/tex]

El monto de dinero inicial del ingeniero sería entonces (ec 3):

[tex] M = 1400*50 - 8000 = 62000 [/tex]

Por lo tanto, el número de obreros que contrató el ingeniero es 50.

Puedes aprender sobre otro método de resolución de sistemas de ecuaciones lineales ingresando acá: https://brainly.com/question/10831551?referrer=searchResults                                    

Espero que te sea de utilidad!

[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{1-3}{-4-3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-2}{-7}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{2}{7}[/tex]

Points are (-7,6),(11,-4)

[tex]\boxed{\sf slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-4-6}{11+7}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-10}{18}[/tex]

[tex]\\ \sf\longmapsto m=-\dfrac{5}{9}[/tex]

Answer:

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

9) Mark any two point on the line

(x₁ , y₁) = (3 , 3)   ;   (x₂, y₂) = (-4 ,1)

[tex]Slope =\frac{1-3}{-4-3}\\\\=\frac{-2}{-7}\\\\=\frac{2}{7}[/tex]

10) (x₁ , y₁) = ( -7 , 6)   ;   (x₂, y₂) = (11 ,-4)

[tex]Slope =\frac{-4-6}{11-[-7]}\\\\ =\frac{-4-6}{11+7}\\\\=\frac{-10}{18}\\\\=\frac{-5}{9}[/tex]

The combined radical is: [tex]- 26\sqrt{3}[/tex]

The radical is given as:

[tex]- 12\sqrt{12} - 2\sqrt{3}[/tex]

We start by expressing 12 as 4 * 3

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4* 3} - 2\sqrt{3}[/tex]

Split the radical

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4}* \sqrt{3} - 2\sqrt{3}[/tex]

Take square root of 4

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12*2* \sqrt{3} - 2\sqrt{3}[/tex]

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24* \sqrt{3} - 2\sqrt{3}[/tex]

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24\sqrt{3} - 2\sqrt{3}[/tex]

Combine like terms

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 26\sqrt{3}[/tex]

Hence, the combined radical is: [tex]- 26\sqrt{3}[/tex]

Read more about surd radicals at:

https://brainly.com/question/14923091

Answer:

a. 1:3

Step-by-step explanation:

theres a pattern of x^2 but 1:3 is 1x3

Answer:

see explanation

Step-by-step explanation:

Calculate the slopes between pairs of the 3 points using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)

m = [tex]\frac{9-3}{-3-(-9)}[/tex] = [tex]\frac{6}{-3+9}[/tex] = [tex]\frac{6}{6}[/tex] = 1

Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)

m = [tex]\frac{9-1}{-3-5}[/tex] = [tex]\frac{8}{-8}[/tex] = - 1

If lines are perpendicular then the product of their slopes = - 1 , then

1 × - 1 = -1

Thus there is a right angle between the 2 lines

Then triangle is right- angled

Answer:

i think its all real numbers

Step-by-step explanation:

i think!! im not so sure

Answer:

b = 55°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended by the same arc, then

a = 0.5 × 110° = 55°

Angles on the circumference subtended by the same arc are congruent, so

b = a = 55°

Answer: 21

Step-by-step explanation:

Step-by-step explanation:

tbh I have no idea

doing this for points

so yeah

Answer:

The answer to your question is: 8 bags of gravel

Step-by-step explanation:

Data

width = 11 ft

path = 2 ft

bag of gravel = 9 ft²

Area of a square garden with path= 11 x 11 = 121 ft²

Area of the square garden = 7 x 7 = 49 ft².

Area of the path = 121 - 49 = 72 ft²

# of bags = 72 / 9 = 8 bags

We know at centroid medians bisect each other in the ratio 2:1.

[tex]\\ \sf\longmapsto TY=2x[/tex]

[tex]\\ \sf\longmapsto 2x=30[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{30}{2}[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

Answer:

A

Step-by-step explanation:

On the median TW the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , then

YW = [tex]\frac{1}{2}[/tex] × TY = [tex]\frac{1}{2}[/tex] × 30 = 15

Answer:

(10,-1)

Step-by-step explanation:

A translation to the right is (x+5)

A translation down 2 is (y-2)

(5+5, 1-2)

(10,-1)

Answer:

(10, - 1 )

Step-by-step explanation:

A translation right 5 units means add 5 to the x- coordinate

A translation down 2 units means subtract 2 from the y- coordinate

(5, 1 ) → (5 + 5, 1 - 2 ) → (10, - 1 )

A midpoint is a point that divides a given line into two equal halves.The answers to the questions are:

1. BC = 89

b. AB = 45

c. AC = 44

2. The coordinate of I is 2.5

3. J = 19

4. MQ = 32

5. NO = 13

6. NO = 23

b. MN = 25

A line segment can be divided into different fractions. Where the point that divides the line segment into equal parts is the midpoint. however, number line is a system that shows the location or positions of all directed numbers.

The given questions can be solved as follows:

1. Given that point A is between BC and AB = 4x -3, BC = 7x + 5, AC = 5x - 16

But,

BC = AB + AC

7x + 5 = (4x -3) + (5x - 16)

          = 9x - 19

7x + 5 = 9x - 19

19 + 5 = 9x - 7x

24 = 2x

x = [tex]\frac{24}{2}[/tex]

x = 12

So that;

a. BC = 7x + 5

         = 7(12) + 5

BC = 89

The value of BC is 89.

b. AB = 4x -3

         = 4(12) - 3

AB = 45

Thus AB has a value of 45.

c.  AC = 5x - 16

          = 5(12) -16

 AC = 44

The value of AC is 44.

2. Given that H is the mid point of GI, and G = 8, I = -3.

Then;

I = 2.5

The coordinate of I is 2.5

3. A midpoint is a point that divides a line segment in to two equal halves. Given that J is the midpoint of KL. KL = 38

J = [tex]\frac{KL}{2}[/tex]

  = [tex]\frac{38}{2}[/tex]

J = 19

The value of the midpoint J is 19.

4. It can be deduced from the conditions given in the question that:

  MQ = MN + NO + OP + PQ

          = 8 + 8 + 16      (NB: OP + PQ = 16)

MQ = 32

Thus, value of MQ is 32.

5. Since P is the mid point of NQ, and OP = 11, OQ = 35

 Then;

PQ  = OQ - OP

      = 35 - 11

PQ = 24

Since, PQ = NP =24

Then;

NO = NP - OP

      = 24 - 11

NO = 13

NO has a length of 13.

6. NO = 2y + 11, OP = 3y - 2, NP = 6y + 3 and MP = 64.

But,

NO + OP = NP

(2y + 11) + (3y - 2) = 6y + 3

5y + 9 = 6y + 3

9 - 3 = 6y - 5y

y = 6

So that;

a. NO = 2y + 11

          = 2(6) + 11

NO = 23

Here, the value of NO is 23.

b. MN = MP - NP

But,

NP = 6y + 3

     = 6(6) + 3

NP = 39

Then;

MN = 64 - 39

MN = 25

So that MN has a value of 25.

Visit: https://brainly.com/question/20751513

Given expression: 3x+9

Take 3 outside from the expression, we get,

= 3(x+3), which is called the equivalent expression

Answer:

It affects the location of the shape and how the shape looks. It doesn't affect the area or perimeter though.

Step-by-step explanation:

Answer:

Hello,

[tex]Answer:\ 2.8 < x < 5.4[/tex]

Step-by-step explanation:

The simpliest is to use the triangular inequality:

in a triangle, a side must be inferior to the sum of the 2 others sides.

[tex]\left\{\begin{array}{ccc}4.1& < &x+1.3\\1.3&< &4.1+x\\x & < & 4.1+1.3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2.8& < &x\\1.3-4.1&< &x\ not\ used\\x & < & 5.4\\\end{array}\right.\\\\\\Finaly:\ 2.8 < x < 5.4[/tex]

Answer:

2.8 < x < 5.4

Step-by-step explanation:

Given 2 sides of a triangle then the third side is in the range

difference of 2 sides < x < sum of 2 sides , that is

4.1 - 1.3 < x < 4.1 + 1.3 , then

2.8 < x < 5.4

Answer:

1) 19200- for Aarati 2) 17280- for Aakriti

Step-by-step explanation:

1. 16000/100*20=3200- THE MONEY WHICH ARE THE PROFIT,

2. 16000+3200=19200- THE PRICE for Aarati

3. 100-10=90 PERCENTS - the price for AAkriti contains from the price from Aarati

4. 19200*(90/100)= 17280- the price for Aakriti

Answer:

Hello

Step-by-step explanation:

[tex]y=2x^2-12x+19\\=2(x^2-6x)+19\\=2(x^2-2*3*x+9)+19-18\\=2(x-3)^2+1\\\\Vertex\ is\ (3,1)\\\\Axis\ of\ symmetry\ is\ x=3\\\\y-intercept\ is \\\\y=2(0-3)^2+1=19\\[/tex]

Answer:

The Answer is P = (-2.5 , 1 )

Step-by-step explanation:

Let, the point is P(x,y)

then, [tex]x=\frac{m_{1}x_{2}+ m_{2}x_{1}}{m_{1}+m_{2}}[/tex]

     =>[tex]x=\frac{5*(-1)+ 3*(-5)}{5+3}[/tex]

     ∴[tex]x=-2.5[/tex]

Again, [tex]y=\frac{m_{1}y_{2}+ m_{2}y_{1}}{m_{1}+m_{2}}[/tex]

     =>[tex]y=\frac{5*7+ 3*(-9)}{5+3}[/tex]

     ∴[tex]y=1[/tex]

Thus, P = (-2.5 , 1 )

Answer: c

Step-by-step explanation:

c is the same and it is the correct answer

Answer:

B

Step-by-step explanation:

You have to match up the corresponding sides in the 2 triangles

The sides you have to find are AB/BC

The side that corresponds to AB in triangle DEF is DE

The side that corresponds to BC is EF