on saturday, a minor league baseball team gave away baseball cards to each person entering the stadium. one group received 28 baseball cards. a second group received 68 baseball cards. if each person entering the stadium received the same number of cards, what was the greatest possible number of baseball cards that each person could have received?

To solve the problem, we created an equation representing the total cost of 3 T-shirts and a program, and then solved it to find the cost of one T-shirt, which is $25.

Let's denote the cost of one T-shirt as 'T'. Since the total cost of 3 T-shirts and a program is $90, and we know that the cost of the program is $15, we can write our equation as follows: 3T + 15 = 90.

To solve for 'T', we start by subtracting 15 from both sides of the equation, getting us 3T = 90 - 15 = 75.

Next, we would divide both sides by 3 to find the cost of one T-shirt. Hence T = 75 / 3 = $25. So, the cost of one T-shirt is $25.

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Colin can complete his yard work in 6 different orders.

Colin has three tasks to complete for his yard work: mowing the lawn, edging the lawn, and pulling weeds. We can list all possible orders in which he can complete these tasks by considering each task as an item in a permutation. Since there are three tasks to arrange, there are 3! (3 factorial) possible ways to order them, which is 3 × 2 × 1 = 6 possible orders.

This list represents all the combinations that Colin can take to complete his yard work.

Answer: x=-3/5  y=-41/5

Step-by-step explanation:  Rewrite equations:

y=12x−1;4x−2y=14

Step: Solvey=12x−1for y:

y=12x−1

Step: Substitute12x−1foryin4x−2y=14:

4x−2y=14

4x−2(12x−1)=14

−20x+2=14(Simplify both sides of the equation)

−20x+2+−2=14+−2(Add -2 to both sides)

−20x=12

−20x

−20

=

12

−20

(Divide both sides by -20)

x=

−3

5

Step: Substitute

−3

5

forxiny=12x−1:

y=12x−1

y=12(

−3

5

)−1

y=

−41

5

(Simplify both sides of the equation)

The system of linear equations is solved by substitution, resulting in the solution x=-3/5 and y=6.2.

To solve the system of linear equations by substitution, start with the given system:

4x − 2y = 14
y = 12x − 1

Since y is already isolated in the second equation, substitute (12x − 1) for y in the first equation:

Now substitute x = −3/5 into the second equation to find y:

The solution for the system of equations is x = −3/5, y = 6.2.

The word that comes between apple and car in the dictionary is blue.

A dictionary is a reference book that contains an alphabetical list of words in a language or a specific field, along with their definitions, and pronunciation. It serves as a valuable tool for writers, students, and anyone who wants to improve their vocabulary and communication skills.

Dictionaries can be found in both print and digital formats. They can cover a wide range of languages, dialects, and specialized fields such as law, medicine, or science.

Some dictionaries also include other features such as synonyms, antonyms, and usage examples. They also contain illustrations to help users understand the meaning and context of words better.

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The number of yo-yo's Jane and Jill have is required.

The number of yo-yo's Jane has is 75 and Jill has 60 yo-yo's.

The ratio of Jane's yo-yo to Jill's yo-yo is [tex]\dfrac{5}{4}[/tex]

Let x be the number of yo-yo's Jane has

y be the number of yo-yo's Jill has

[tex]\dfrac{x}{y}=\dfrac{5}{4}[/tex]

When Jane's gives 15 of her yo-yo's away both will have the same number of yo-yo's so

[tex]x-15=y[/tex]

substituting in the first equation

[tex]\dfrac{x}{x-15}=\dfrac{5}{4}\\\Rightarrow 4x=5x-75\\\Rightarrow x=75[/tex]

[tex]y=x-15=75-15\\\Rightarrow x=60[/tex]

The number of yo-yo's Jane has is 75 and Jill has 60 yo-yo's.

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An angle that turns through one-twelfth of a circle measures 30 degrees.

The measure of an angle that turns through one-twelfth (1/12) of a circle is 30 degrees. A full turn of a circle is 360 degrees, so if we divide that by 12, we get the angle of a single twelfth of a turn. Mathematically, this is calculated as 360 degrees / 12 = 30 degrees. In other terms such as radians, this angle can be calculated as 2π radians (which represents a full turn) divided by 12, giving us π/6 radians, but for middle school mathematics, measuring in degrees is more common.

To solve the equation 1/2k + 6 = 4k - 8, subtract 1/2k from both sides, combine like terms, add 8 to both sides, combine constant terms, divide by 3.5, and solve for k to get k = 4.

To solve the algebraic equation 1/2k + 6 = 4k - 8, we need to isolate the variable 'k' on one side of the equation. Here are the steps:

Therefore, the solution to the equation is k = 4.

The fact for Don's second array is 2x7, indicating there are 2 rows and 7 columns in the array.

In this question, the student is splitting a 4x7 array into a 2x7 array, and another array.

The 4x7 array has 28 elements. After removing a

2x7 array with 14 elements, we're left with an array that also has 14 elements.

We're not given its dimensions, but if we follow the pattern of the original breakup, it could also be a 2x7 array. Therefore, the fact for the second array is 2x7.

By representing this as multiplication, we're showing that there are 2 rows and 7 columns in the array, which represents the total number of elements.

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With a total of $21, including the discount coupon, and each bottle of olive oil costing $7, you can buy 3 bottles of olive oil.

In your case, you start with $16 and a $5 discount coupon to use at the local supermarket. This gives you an effective total of $16 + $5 = $21 to spend. Each bottle of olive oil costs $7. So, if you divide your total amount of money $21 by the cost of one bottle of olive oil $7, you get 21 ÷ 7 = 3. This means you can buy 3 bottles of olive oil.

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The value of the given expression 2x{6+[12 divided by (3+1)]}-1 is 17 when following the order of operations.

To solve the mathematical expression 2x{6+[12 divided by (3+1)]}-1, the first thing you have to do is follow the order of operations, which is abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Step 1: Solve the operation within parentheses, 12 ÷ (3+1) = 12 ÷ 4 = 3.

Step 2: Subtitute the result back into the equation, 2x{6+[3]}-1.

Step 3: Solve the operation within brackets, {6+[3]} = {9}.

Step 4: Substitute the result back into the equation, 2x{9}-1 = 2x9 - 1 = 18 -1 = 17.

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To calculate the mean of the data shown in the stem and leaf plot, paper and pencil to record work and technology to add and divide are required.

A stem-and-leaf display or stem-and-leaf plot is a device for presenting quantitative data in a graphical format, similar to a histogram, to assist in visualizing the shape of a distribution.

A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.

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The angle is given as 3x - 13 and 58. The measure of angle MNQ (3x - 13) is 32 degrees.

Two angles whose sum is 90° are called complementary angles.

The angle is given as 3x - 13 and 58.

Since the two angles within MNP equal to 90 degrees:

3x - 13 + 58 = 90

3x = 90 - 45

3x = 45

x = 15

Therefore, The measure of angle MNQ (3x - 13) = 32 degrees.

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Answer:

-5,-1

Step-by-step explanation:

I took the test!

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