Determine the smallest 6 digit number which is exactly divisible by 8,15,and21

Answer:

A) The value of a is 29.

B) The value of b isgreater than 29.

C) In both part A and part B we have used a common property  which is addition property and that we have add 9 on both side of equation in both parts.

D) The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.

Step-by-step explanation:

Solving for Part A.

Given,

We have to solve for a.

By using addition property of equality, we will add both side by 9;

Hence the value of a is 29.

Solving for Part B.

Given,

We have to solve for b.

By using addition property of inequality, we will add both side by 9;

Hence the value of b isgreater than 29.

Solving for Part C.

In both part A and part B we have used a common property  which is addition property and that we have add 9 on both side of equation in both parts.

Solving for Part D.

The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.

Final answer:

To solve a - 9 = 20, we add 9 to 20, which results in a = 29. For b - 9 > 20, it's similar; we add 9 to 20, resulting in b > 29. The process is similar for both, but an equation's solution (a) is a single number, while an inequality's solution (b) represents a range of numbers.

Explanation:

To solve part A, which is a - 9 = 20, we will need to isolate the variable 'a' on the left side of the equation. Doing so gives us a = 20 + 9 or a = 29.

For part B, which is to solve b - 9 > 20, the operation is similar, but the result is an inequality, not a specific number. Solving it gives us b > 20 + 9 or b > 29.

The process is similar for both because you are essentially isolating the variable on one side of the equation or inequality. The difference is that the solution for an equation (part A) is a specific number, while the solution for an inequality (part B) is a range of numbers.

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If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

What is Rectangle?

A rectangle is a quadrilateral with four right angles

The area of Rectangle is length times of width.

Given that Ms. Luna is waterproofing the top of a rectangular wood deck.

The width of the deck is 3 m less that the length.

Width=Length-3

Length=8

Area of rectangle=Length×Width

=Length×(Length-3)

=8×(8-3)

=8×5

=40 m²

Hence, If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

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Answer:

40 m

Step-by-step explanation:

First we have to find the width. the width is 3 less than the length, which is 8... so the width is 5. Area is found by multiplyign length times width to get 40 m.

Answer:

x = 10

y = -2

Step-by-step explanation:

Elimination method:

6x -  5y = 70 -----------------(I)

7x + 2y = 66 -----------------(II)

Multiply equation (I) by 2 and equation (II) by 5 and add. So, y will be eliminated and you can now find the value of x

(I)*2           12x - 10y  = 140

(II)*5          35x + 10y = 330     {Now add}

                 47x           = 470

                              x = 470/47

x = 10

Plugin x = 10 in equation (II)

7*10 + 2y = 66

70 + 2y = 66

Subtract 70 from both sides

2y = 66 - 70

2y = -4

Divide both sides by 2

y = -4/2

y = - 2

I don’t understand the answer can you explain it please?

Answer:

B

Step-by-step explanation:

point-slope formula: y-y1 = m(x-x1)

y1 = 4 ; x1 = -2 ; m (slope) = 3

plugging it in to the formula, you get y-4 = 3(x-(-2)

then you get y-4 = 3(x+2)