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il63 [147K]
2 years ago
15

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an

d spent $7.50 on a ticket. How much money did each boy have left after buying his ticket?
A. Draw a bar diagram that represents the situation.

B. Write and solve an equation that represents the situation.

C. Explain how you solved your equation.

D. Compare the arithmetic solution and the algebraic solution.
Mathematics
1 answer:
IRISSAK [1]2 years ago
3 0
I would say the correct answer is B

I might be wrong
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DiKsa [7]
Smallest 3 digit number is 100, divisible by 3 would be 102??
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3 years ago
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What is the next step after using the distributive<br><br> property?
e-lub [12.9K]

Answer:

If it's a simple equation such as 2 (x + y), the next step after applying the distributive property is to do the multiplication and simplify the terms.

But in solving an equation such as

2(x + 3) = 3(x + 1)

After applying the distributive property, the next step is to separate the variables to one side, like collecting like terms and then solving the now simplified equation.

Step-by-step explanation:

For a normal equation, the distributive property, also called the distributive law of division and multiplication helps to use the variable outside the bracket to multiply the sum of terms in the bracket. For example.

2 (x + y)

The distributive property enables us to say

2×x + 2×y = 2x + 2y

So, the next step after applying the distributive property is to simplify the equation.

But in solving an equation such as

2(x + 3) = 3(x + 1)

Applying the distributive property

2x + 6 = 3x + 3

We then operate variables, collect like terms on one side

6 - 3 = 3x - 2x

3 = x

x = 3

Hope this Helps!!!

3 0
3 years ago
The sum of two integers is -4. Can the two integers both be negative? Explain
timurjin [86]

Answer:

no they cannot

Step-by-step explanation:

You aren't able to have 2 integers that are negative. You would need 1 positive and one negative integer, so when you add them together, you get a negative outcome, providing that the negative number is more than the positive number.

7 0
4 years ago
Is x=-2 a positive slope
victus00 [196]

Answer:

No

Step-by-step explanation:

x = -2 represents a vertical line that intersects the x axis at the point (-2, 0). Since the line is vertical, the slope is undefined making it not have a positive slope.

Best of Luck!

7 0
3 years ago
The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Po
noname [10]

Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

A = B

Step-by-step explanation:

<em>See comment for complete question</em>

Given

A: (4x^2 - 4x)(x^2 - 4)

B: (x^2 + x - 2)(4x^2 - 8x)

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

A: (4x^2 - 4x)(x^2 - 4)

Factor out 4x

A: 4x(x - 1)(x^2 - 4)

Apply difference of two squares on x^2 - 4

A: 4x(x - 1)(x - 2)(x+2)

For, Polynomial B: We have:

B: (x^2 + x - 2)(4x^2 - 8x)

Expand x^2 + x - 2

B:(x^2 + 2x - x - 2)(4x^2- 8x)

Factorize:

B:(x(x + 2) -1(x + 2))(4x^2- 8x)

Factor out x + 2

B:(x -1) (x + 2)(4x^2- 8x)

Factor out 4x

B:(x -1) (x + 2)4x(x- 2)

Rearrange

B: 4x(x - 1)(x - 2)(x+2)

The simplified expressions are:

A: 4x(x - 1)(x - 2)(x+2) and  

B: 4x(x - 1)(x - 2)(x+2)

Hence, both polynomials are equal

A = B

3 0
3 years ago
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