Charlie solved an equation, as shown below:Step 1: 5x = 30
Step 2: x = 30 – 5
Step 3: x = 25

Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.
Part B: How many solutions will this equation have?

Answers

Answer 1

Answer: Part A : His solution is incorrect because whenever you have a number "connected to" the variable, you have to divide. & what you do to one side, you have to do to the other. So, for step 2, instead of subtracting 5, you divide by 5. By doing this, you will then have 'x' by itself on the left, & on the right 30/5= 6. So, x=6.

Showing...
Step 1: 5x=30
Step 2: 5x/5=30/5 (the 5s cancel out, leaving you just x on the left)
Step 3: x=6

Part B : This solution will have only 1 answer, & that answer is 6. -6 wouldn't be counted as one because if you plug -6 into the equation as x, the sides won't equal, you'll have -30=30 which isn't true.

Hope this makes sense & helps you ! (:

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Explain this algebraic expression in your own words: 3x - y

Answers

Answer:

You have a number multiplied by the variable x, so three times some value x. then you have (-y) taking the value of 3x and subtracting the value of (y) from it. The expression depends on the values of x and y you plug into it.

Step-by-step explanation:

for example, 3(4) - (6) = 12-6 = 6

√21 + √13 + √7 + √4 =

Answers

13.4796295925
(calculator used)

If x represents the number of hours machine X runs and y represents the number of hours machine Y runs, what is the objective function: "c = xy"?

Answers

Answer: Here's my answer

Step-by-step explanation:

The objective function given, "c = xy", represents the cost (c) associated with the operation of machine X and machine Y, where x represents the number of hours machine X runs and y represents the number of hours machine Y runs.

To understand the objective function, let's break it down step by step:

1. "c" represents the cost associated with the operation of the machines. This could include expenses such as maintenance, energy consumption, or labor costs.

2. "x" represents the number of hours machine X runs. This indicates the duration for which machine X is in operation.

3. "y" represents the number of hours machine Y runs. This indicates the duration for which machine Y is in operation.

4. The objective function "c = xy" states that the cost (c) is calculated by multiplying the number of hours machine X runs (x) by the number of hours machine Y runs (y). This means that the total cost is proportional to the product of the hours of operation for both machines.

For example, if machine X runs for 5 hours (x = 5) and machine Y runs for 3 hours (y = 3), the cost (c) would be calculated as follows:

c = xy

c = 5 * 3

c = 15

In this case, the cost (c) would be 15, representing the total cost associated with the operation of both machines for the given hours.

Therefore, the objective function "c = xy" calculates the cost based on the product of the hours of operation for machine X and machine Y.

Stir-fry is tony's favorite food to cook, but it always makes a lot of smoke! Tony needs to know the volume of his kitchen so he can buy a fan that is the right size. Tony's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of tony's kitchen?

Answers

Answer:

Volume = 680 ft³

Step-by-step explanation:

Given

Floor Area = 85 ft²

Height = 8 ft

Required

Volume of the Kitchen

To solve this, it'll be assumed that Tony's kitchen has a regular shape.

Having said that, the volume of Tony's kitchen is calculated as thus.

Volume = Floor Area * Height.

Substitute the values of floor area and height

Volume = 85ft² * 8ft

Volume = 680 ft³

Hence, the volume of Tony's kitchen is 680ft³

If 4/5 x blank = 2/5 what is blank

Answers

$(4)/(5) \cdot x = (2 )/(5) \ \ /\cdot 5\n \n \not5^(1)\cdot (4)/(\not5^(1)) \cdot x =\not5^(1 ) \cdot (2 )/(\not5^(1))\n \n4x=2 \ \ /:4 \n \nx=(2)/(4)\n \nx=(1)/(2)$

$(4)/(5)\cdot\fbox{\ }=(2)/(5)\ \ \ \ /\cdot(5)/(4)\n\n(\not5^1)/(\not4_1)\cdot(\not4^1)/(\not5_1)\cdot\fbox{\ }=(\not5^1)/(\not4_2)\cdot(\not2^1)/(\not5_1)\n\n\fbox{\ }=(1)/(2)$

The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school chili cook off contest.All the pans of cornbread are square.A pan of cornbread cost $12.The costumers can buy and fractional part of a pan of cornbread and pay that fraction of $12.For example, 1/2 of a full pan cost 1/2 of $12.What questions or question do you think could be part of this problem?

What operation do you think you would use to solve this problem?why?

Answers

A possible question could be: Maria only wants 1/4 of a pan of cornbread. How much will she have to pay?
Answer: 3 dollars.
Possible equation: 1/4p = x; where p = 12 and x = amount to be payed.

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