Find the student’s error in solving the following inequality.31 < –5x + 6
25 < –5x
–5 < x

a. The student should have added 6 to both sides instead of subtracting it.

b. The student divided 25/–5 incorrectly.

c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.

Answers

Answer 1

Answer:

Answer: c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.

Step-by-step explanation:

From the given steps, the last step is done wrong by student.

When we multiply or divide any negative number on vboth sided of the inequality, the sign of inequality reverse its direction .

In the last step student divide the inequality by -5 but didn't switch direction of the inequality sign.

hence, c is the right option "The student should have switched the direction of the inequality sign to get –5> x for a final answer."

Answer 2

Answer: Hello,
Answer C

When you divide by a negative number the order is invert. (< become >")

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Suppose you want to make a certain kind of tropical punch using bananas,oranges, and papayas. This is what you know.
You know the recipe takes seven pieces of fruit.
You don't know how many of each to put in the punch, but you know that
there are twice as many oranges as bananas.
You know that the seven pieces of fruit cost $5.25, where bananas cost $.50
each, oranges cost $.75 each, and papayas cost $1.25 each.
How many pieces of each type of fruit do you need to make the tropical punch?

Answers

Answer: 4 oranges, 2 bananas, and 1 papaya

Step-by-step explanation:

because there are twice as many oranges as bananas and 7 total fruit so 4 is the max amount of oranges you can have which leaves 2 bananas and 1 left over which is the papaya. Then to check work plug in the amount of fruit times their price which totals $5.25.

Final answer:

To make the tropical punch with a total of $5.25, you will need 1 banana, 2 oranges and 4 papayas based on their individual costs and the given relationship between bananas and oranges.

Explanation:

This is a linear algebra problem where we need to solve a system of linear equations. Let's denote the number of bananas as 'b', oranges as 'o', and papayas as 'p'. We have several pieces of information to form our equations:

1. The total pieces of fruit we have is 7. So, b + o + p = 7.

2. Oranges are twice as numerous as bananas, so o = 2b.

3. The total cost of the fruits is $5.25. So, 0.5b + 0.75o + 1.25p = 5.25.

By substituting o = 2b and re-arranging the equations, we obtain that b=1, o=2, and p=4. Hence, to make the tropical punch, we need 1 banana, 2 oranges, and 4 papayas.

Learn more about Linear Algebra here:

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(45 POINTS)

Answer the Question below:

Answers

Justification 1: Given

Justification 2: Distributive Property

Justification 3: Addition property of Order

Justification 4: Subtraction property of Order

Justification 5: Division Property of Order

Step-by-step explanation:

We need to solve the inequality and give reasons:

-2(x+6)<3(x+1)

Justification 1: Given

Applying distributive property by multiplying -2 and 3 with terms inside the bracket.

-2x-12<3x+3

Justification 2: Distributive Property

Adding 12 on both sides

-2x<3x+15

Justification 3: Addition property of Order

Subtract 3x on both sides

-5x<15

Justification 4: Subtraction property of Order

Divide both sides by -5 and reverse the inequality.

x>3

Justification 5: Division Property of Order

Keywords: Solving inequalities

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Simplify the following expression: 6(5 - 3x) - 5(3x + 2) �� 20 - 33x �� 40 + 33x
�� 20 + 33x �� 40 - 33x

Answers

Answer:20-33x

Step-by-step explanation:

How many U.S. quarts are contained in 12 L? A. 10.56 qt
B. 13.638 qt
C. 12.684 qt
D. 11.352 qt

Answers

In 1 US Quarts, there are 0.946353 Liters.
In 1 Liter, it is equal to 1.05669 Quarts

If there are 12 L, multiply it 1.05669 Quarts.
So the answer is 12.6803. Letter C.

Answer:

12.684 qt

Step-by-step explanation:

Given the equation (x+2)(x+3)(x+5)=(x+2)(x-3)(x+5), what can we conclude about the solutions

Answers

Hello,

(x+2)(x+3)(x+5)=(x+2)(x-3)(x+5)
==>(x+2)(x+5)(x+3-(x-3))=0
==>(x+2)(x+5)*6=0

==>x=-2 or x=-5

Is the ordered pair (1, 4) a solution to the equation y = 2x + 1?If yes, is it the only solution?

A.
No, because the ordered pair does not fit the equation.

B.
Yes, but this ordered pair is not the only solution to the equation.

C.
Yes, and it is the only ordered pair that fits the equation.

Answers

Let's plug in x-coordinate x=1:

y = 2(1)+1 = 2 + 1 = 3, which is not 4.

So the answer is A.

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