hii! i would appreciate if someone can answer this for me. i will import pictures of the question and figure, thanks,

Answer:

Step-by-step explanation:

x-y=14

x-1/3y=1/10

-y=14-x

y=-14+x

take out the factors

x-10/30y=3/30

30x-10y=3

substitute

30x-10(-14+x)=3

30x+140-10x=3-140

20x/20=-137/20

x=-6.85

y=-14+(-6.85)

y=-20.85

The two numbers are 143/20 and 423/20.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, the difference between two numbers is 14.

Let the smaller number be x and the larger number be y.

Here, y-x=14 ------------(i)

If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.

1/3 of larger number is 1/3 y

x-y/3 =1/10 ------------(ii)

From equation (i), substitute y=14+x in equation (ii), we get

x-(14+x)/3 =1/10

10(3x-14-x)=3

30x-140-10=3

20x-140=3

20x=143

x=143/20

Substitute x=143/20 in equation (i), we get

y-143/20=14

y=14+143/20

y=(280+143)/20

y=423/20

Therefore, the two numbers are 143/20 and 423/20.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ3

Answer:

$162

Step-by-step explanation:

Given that,

The amount they pay each of their employees (in dollars) is given by the expression 12h+30w where h is the number of hours and w is the number of wagons sold.

We need to find the amount paid to an an employee that works 6 hours abs sells 3 wagons.

Put h = 6 and w = 3 in above equation.

12h+30w = 12(6)+30(3)

= 72+90

= 162

So, the required amount is equal to $162.

Answer:

66 cm²

Step-by-step explanation:

From the given figure, and the question statement we have;

BD = 11 cm, AE = 7 cm, CF = 5 cm

The given quadrilateral ABCD consists of two triangles; ΔABD and ΔBCD

The area of quadrilateral ABCD = The sum of the areas of ΔABD and ΔBCD

The base length of the two triangles equals segment BD = 11 cm

The height of triangle ΔABD = 7 cm

The area of a triangle = (1/2) × Base length × Height

∴ The area of triangle ΔABD = (1/2) × 11 cm × 7 cm = 38.5 cm²

Similarly;

The area of triangle ΔBCD = (1/2) × 11 cm × 5 cm = 27.5 cm²

∴ The area of quadrilateral ABCD = 38.5 cm² + 27.5 cm² = 66 cm²

The area of the given figure (quadrilateral ABCD) = 66 cm².

Answer:

it was discounted by $227.85

Step-by-step explanation:

Answer:

4.16 repeating

Step-by-step explanation:

50 divided by 12

Answer:

1,5/2

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

As in any "solve for" situation, you "undo" what is done to the variable.

Here, (for 3 of the 4 problems) the variable is ...

We undo these operations in reverse order. First, we add the opposite of the added constant. Then we divide by the coefficient of x². Finally, we take the square root to "undo" the squaring operation.

1. 4x² -30 = 22 . . . . . . given

  4x² = 52 . . . . . . . . . add 30 to both sides

  x² = 13 . . . . . . . . . . . divide both sides by 4

  x = ±√13 . . . . . . . . . take the square root. Both signs are solutions.

__

2. 3x² +4 = 166 . . . . . given

  3x² = 162 . . . . . . . . add -4 to both sides

  x² = 54 . . . . . . . . . . divide both sides by 3

  x = ±√54 . . . . . . . . take the square root. 54 = 3²·6 has a square factor

  x = ±3√6 . . . . . . . simplified result

__

3. (1/3)x² +14 = 36 . . . . given

  (1/3)x² = 22 . . . . . . . . add -14 to both sides

  x² = 66 . . . . . . . . . . . multiply both sides by 3

  x = ±√66 . . . . . . . . take the square root

__

4. The same "undo" idea applies. Here, we can start with the square root.

  (x -4)² = 16 . . . . . given

  x -4 = ±4 . . . . . . . square root

  x = 4 ± 4 . . . . . . add 4 to both sides

This means x = 4-4 = 0, or x = 4+4 = 8.

The solutions are x = 0, x = 8.

Answer:

7/12

Step-by-step explanation:

How gar Jenna travelled = 1/3 + 1/4

[tex]\frac{1}{3} + \frac{1}{4}[/tex]

[tex]\frac{4 + 3}{12}[/tex] = [tex]\frac{7}{12}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

the answer is to this question is f(x)=46

Answer:

y² - 4

Step-by-step explanation:

Give the expression :

"the square of y decreased by the quotient of 28 and 7"?

Expressing Mathematically ;

Square of y = y²

Quotient of 28 and 7 is obtained by taking the division of 28 by 7

Dividing 28 by 7 ; 28/7 = 4

Hence, decreasing y² by 4 ; we have ;

y² - 4

Answer:

y = -2/3x - 3

Step-by-step explanation:

y = -2/3x + b

-1 = -2/3(-3) + b

-1 = 2 + b

-3 = b

y = -2/3x - 3

6.28 = Question 11

and i can not solve for 12 sorry

Answer:

Question 11- 6.28 yards square

Answer:

the answer is b:) hope this helped!

Answer:

x² + 4xy + 4y²

Step-by-step explanation:

g o o g l e

if its wrong blame g o o g l e.

I'm fully sure but maybe you add 12+40

Answer:

A car, college, and house, bills. and Airplane? would those work?

Step-by-step explanation:

Answer:

Total cost= $86.25

Step-by-step explanation:

Giving the following information:

Discount= 10%

Nill= $82.5

Tip= 15%

First, we need to calculate the discounted price:

Discount price= 82.5 / 1.1= $75

Now, the tip:

Tip= 75*0.15= $11.25

Finally, the total cost:

Total cost= 75 + 11.25

Total cost= $86.25

Answer:

Answer is Lee Ann wrote the right equation.

Step-by-step explanation:

2/8 equals 25%, which equals 1/4, half of 25% is 12.5%, so 25% plus 12.5% equals 37.5%.

37.5% in decimal form is 0.375.

Therefore Lee Ann is correct.

Answer:

34

Step-by-step explanation:

The angle x^2 + (x+12) + 100 will need to equal 180.

Therefore, set your formula

180 = 100+(x+12)+x

180 = 100+2x+12

180-100-12=2x

68=2x

68/2 = x

34 = x

Answer:

0,1,2

0,-3,-5

Step-by-step explanation:

Answer:

40 degree

180-57-40= 40

Answer:

2e+15

Step-by-step explanation:

I believe the answer is 2e+15. Unless my math is wrong, this is the answer.

Answer:

sixteen centimeter! hope this helps!