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skelet666 [1.2K]
3 years ago
11

2. Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, o

r no solution. Explain your answers. (a) 4 + 2( − 1) = 10 + 2 (b) 30 − = 10 − (6 + 10) (c) 8x = 4x + 4x + 10(x − x)
Mathematics
1 answer:
Brut [27]3 years ago
7 0

Hello!

To solve algebraic equations, we need to use SADMEP. SADMEP is an acronym used only solve for x in algebraic equations. SADMEP is expanded to be: subtraction, addition, division, multiplication, exponents, and parentheses.

(a) 4 + 2(-1) = 10 + 2 (multiply)

4 + -2 = 10 + 2 (add)

2 = 12

This equation has no solutions because <u>2 is never equal to 12</u>.

(b) 30 = 10 - (6 + 10) (simplify the parentheses)

30 = 10 + -1(16) (multiply)

30 = 10 - 16 (simplify)

30 = -6

This equation has no solutions because<u> 30 and -6 is never equal to each other</u>.

(c) 8x = 4x + 4x + 10(x - x)

8x = 4x + 4x + 10(x - x) (simplify [add and subtract])

8x = 8x + 10(0) (multiply)

8x = 8x  

This equation has an infinite number of solutions because if you <u>substitute any value into the original equation</u>, <u>both sides of the equation</u> will be <u>always equal</u>.

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2 years ago
Can I please have help with numbers 28 and 30 and can you check if I got number 29 correct? THANK YOU
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6 0
3 years ago
Ryan created the two-way table below to describe his scoring in his soccer team’s wins and losses last season. Ryan’s Scoring in
pickupchik [31]

Answer: There is 40% of team's win that Ryan score a goal.

Step-by-step explanation:

Since we have given that

                              Team Won   Team lost

Ryan scored               6                   4

Did not score             9                   11

(by Ryan)

-------------------------------------------------------------------------

Total                          15                    15

Percentage of team's win that Ryan score a goal is given by

\dfrac{6}{15}\times 100\\\\=40\%

Hence, there is 40% of team's win that Ryan score a goal.

8 0
3 years ago
Read 2 more answers
if the temperature at 9:00 pm was 12 degrees farenheit,and after 6 hours the temperature dropped to 6 degrees Fahrenheit below 0
Delvig [45]
The rate of change is it drops 3 degrees every hour.
my work :12-(3×6)=-6
9:00 = 12 degrees 10:00 = 9 degress. 11:00 = 6 degress. 12:00 = 3 degress 1:00 = 0 degress. 2:00 = -3 degress 3:00 = -6 degress
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6 0
3 years ago
A store plans to sell two different game consoles, the YuuMi and the ZBox. The store’s wholesale cost for a YuuMi is $250, and t
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Answer:

  • Constraints: x + y ≤ 250; 250x +400y ≤ 70000; x ≥ 0; y ≥ 0
  • Objective formula: p = 45x +50y
  • 200 YuuMi and 50 ZBox should be stocked
  • maximum profit is $11,500

Step-by-step explanation:

Let x and y represent the numbers of YuuMi and ZBox consoles, respectively. The inventory cost must be at most 70,000, so that constraint is ...

  250x +400y ≤ 70000

The number sold will be at most 250 units, so that constraint is ...

  x + y ≤ 250

Additionally, we require x ≥ 0 and y ≥ 0.

__

A profit of 295-250 = 45 is made on each YuuMi, and a profit of 450-400 = 50 is made on each ZBox. So, if we want to maximize profit, our objective function is ...

  profit = 45x +50y

__

A graph is shown in the attachment. The vertex of the feasible region that maximizes profit is (x, y) = (200, 50).

200 YuuMi and 50 ZBox consoles should be stocked to maximize profit. The maximum monthly profit is $11,500.

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3 years ago
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