${\text{Here, we have the algebraic expression}} \hfill \\ 8w \times {2^2} - 18w \hfill \\ {\text{For simplifying the expression, first we solve the exponent part,}} \hfill \\ {\text{and then the resultant will be multiply with the monomial }}18w \hfill \\ 8w \times {2^2} - 18w \hfill \\ = 8 \times w \times {2^2} - 18w \hfill \\= \left( {8 \times {2^2}} \right) \times w - 18w\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left[ {\because \,{\text{By associative law }}a \times \left( {b \times c} \right) = \left( {a \times b} \right) \times c} \right] \hfill \\ = \left( {8 \times 4} \right) \times w - 18w \hfill \\ = 32 \times w - 18w \hfill \\= 32w - 18w \hfill \\= 14w \hfill \\$

4 0

3 years ago

Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry foo

Ghella [55]

Answer:

PART A: Inequality (a)

Solve for y

The graph of y ≥ ⅓(8-x) is represented by the upper red line and all points in the shaded area below it. The line is solid because points on the line satisfy the conditions.

Inequality (b)

Solve for y

The graph of y ≥ 2 - x is represented by the lower blue line and all points in the shaded area above it. The line is solid because points on the line satisfy the conditions. The solution lies in the purple area. It consists of all combinations of x and y that make y ≥ ⅓(8 - x) and y ≥ 2 - x. A practical but not a mathematical condition is that all values of x and y must be zero or positive numbers (for example, you can't have -2 servings of food), so I have plotted only the numbers in the first quadrant.

PART B: If a point is a solution of the system, then the point must satisfy both inequalities of the system.

For x=8, y=2. Verify inequality A is not true. So the point does not satisfy inequality A. Therefore, the point is not included in the solution area for the system.

PART C: I choose the point (3,1) which is included in the solution area for the system.

That means Michelle buys 3 serves of dry food and 1 serving of wet food.

Step-by-step explanation:

Plz mark Brainliest?

3 0

3 years ago

Which is the slope of the line that passes through the points (4,2) and (6, 7). plzzzzz help

Jlenok [28]

where are the pictures lol

7 0

3 years ago

Which statements about 12 ÷ 7 are true? Use the array to answer the question. Check all that apply.

AURORKA [14]

Answer:

The remainder is 5

Step-by-step explanation:

12 Divided by 7 equals 12 over 7 or 1.714285. 7 can only go into 12, one time. if we subtract 7 from 12 we get 5 which is the remainder. There is no way it can be 2 because 7 plus 2 equals 9. 1 x 7 + 5 equals 12 which isn't 1.714285. 2 x 7 + 4 equals 18 which also isn't 1.714285. Same with 2 x 5 + 5. That equals 15 which isn't 1.714285.

5 0

3 years ago