Four teachers bought 10 origami books and 100 packs of oragami paper for their classrooms. They will share the cost of the items equally. How much should each teacher pay?

To find the product of 5 x 47 using the Distributive Property, we can break down the second number into its tens and ones digits, distribute the first number to both parts, and simplify the expression.

To find the product of 5 x 47 using the Distributive Property, we can break down the second number, 47, into its tens and ones digits.

47 can be written as 40 + 7.

Then, we can distribute the 5 to both parts: 5 x 40 + 5 x 7.

This simplifies to 200 + 35, which equals 235.

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Answer:

a = 80 shares of stock A

b =120 shares of stock B

Final answer:

The investor owns 80 shares of Stock A and 120 shares of Stock B, calculated using a system of linear equations based on the total number of shares and their combined value.

Explanation:

The investor needs to determine how many shares of Stock A and Stock B they own. Let's call the number of shares of Stock A as x and the number of shares of Stock B as y. We know that the combined number of shares owned is 200, which gives us our first equation:

Equation 1: x + y = 200

Next, we have the combined value of the stocks, which is $4000. Stock A is priced at $9.50 per share and Stock B at $27.00 per share. This information allows us to construct our second equation:

Equation 2: 9.50x + 27y = 4000

Now we have a system of two equations with two unknowns, which we can solve via substitution or elimination. If we rearrange the first equation (Equation 1) to solve for y, we get:

y = 200 - x

Substitute y in the second equation (Equation 2):

9.50x + 27(200 - x) = 4000

That simplifies to:

9.50x + 5400 - 27x = 4000

-17.50x = -1400

x = 80

Now that we have x, we can substitute it back into Equation 1 to find y:

y = 200 - 80

y = 120

Therefore, the investor owns 80 shares of Stock A and 120 shares of Stock B.

The slope of the line y = -5/2x - 2 is -5/2, and the y-intercept is -2. This is determined using the slope-intercept form y = mx + b.

To determine the slope and the y-intercept of the linear equation y = -5/2x - 2, we use the slope-intercept form y = mx + b.

In this form:

Therefore, the slope of the line is -5/2, and the y-intercept is -2.

Answer:

b; all odd integers

Step-by-step explanation:

since the problem is built around any odd integer than the domain would be the set of all odd integers--both positive and negative.

The required number of bags that Allison takes to the recycling center is 60 bags.

Given that,
Each time Allison goes to the recycling center, she takes 10 bags of cans. She will go twice this month 3 times next month, and once the following month .

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Total number of times Allison went to the recycling center in three months,
= 2 + 3 + 1 = 6
Each time takes 10 bags of can,
So, total number of bags of can = 10 × 6 = 60

Thus, the required number of bags that Allison takes to the recycling center is 60 bags.

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300 x 29

Given:

Juan delivers 174 newspapers every day.

Edward delivers 126 more newspapers each day than Juan.

Question:

Write an expression to show how newspapers Edwards will deliver in 29 days.

The Process:

Since Edwards delivers 126 more newspapers every day than Juan, we will count the number of newspapers delivered by Edwards every day.

Edwards: [tex]\boxed{ \ 174 + 126 = 300 \ }[/tex]

Therefore, Edwards delivers 300 newspapers every day.

And now, we will write an expression to show how newspapers Edwards will deliver in 29 days.  

We multiply the number of newspapers delivered every day by the number of days requested.

Thus, an expression to show how newspapers Edwards will deliver in 29 days is [tex]\boxed{\boxed{ \ 300 \times 29 \ }}.[/tex]

The summary is as follows:

[tex]\boxed{ \ (174 + 126) \times 29 \ } \rightarrow \boxed{ \ 300 \times 29 \ }[/tex]

Keywords: Juan delivers, 174 newspapers, every day, Edward, 126 more, each day, write an expression, to show, how newspapers, in 29 days

Answer: 6

Step-by-step explanation:

In any algebraic expression a term could be a variable(a,b,c,...), or a constant (numerical value) or  a product of variables and a constant.

For example : In expression [tex]5x^2-7xy+4c-4[/tex] , there are 4 terms : [tex]5x^2,\ -7xy,\ 4c\ ,\ -4[/tex]

Let's take one more example :  [tex]3y+2x-7xy^2[/tex]

In this expression there are only 3 terms , that are [tex]3y,\ 2x,\ -7xy^2[/tex]

The given expression : [tex]3x^3y + 5xz -4y + x -z + 9[/tex]

There are total 6  variable terms , that are :

[tex]3x^3y ,\ 5xz,\ -4y ,\ x,\ -z ,\ 9[/tex]

Hence, the correct answer is : 6

Answer:

7.5

Step-by-step explanation:

The question is asking for an exploration on the large-scale impacts of floods on people and the environment, and what solutions or preventative measures you would suggest to handle these effects.

The question you're asked to answer in your writing relates to the impact of floods on a large scale, specifically focusing on people and the environment. In particular, the question desires an exploration of the magnitude and process of these impacts. The part 'How will you address it?' refers to your proposals for handling the situation, including potential solutions or preventative measures to mitigate these effects. For instance, you might suggest improving infrastructure to withstand floods, educating communities about disaster preparedness, or implementing stricter environmental regulations to protect and restore natural flood barriers.

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The leftover juice taken by Sharon is 4 ounce.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The given problem can be solved by arithmetic operation as follows,

The leftover juice can be obtained by taking the remainder of 64 ÷ 6 as follows,

64 ÷ 6 = 6 × 10 + 4

Here remainder is 4 which means that after filling juice in 10 glasses 4 ounce juice is left.

Hence, the amount of juice taken by Sharon is 4 ounce.

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Answer:

Britney earn last week $809.25 .

Step-by-step explanation:

As given

itney sells mattresses at a furniture store.

She makes a 9.75% commission on each mattress she sells.

Britney sold four mattresses.

9.75% is written in the decimal form.

[tex]= \frac{9.75}{100}[/tex]

= 0.0975

Now find out the commission of first mattresses.

Mattresses cost = $2400

Commission on first mattresses = 0.0975 × 2400

                                                     =$234

Now find out the commission of second mattresses.

Mattresses cost = $3200

Commission on second mattresses = 0.0975 × 3200

                                                           =$312

Now find out the commission of third mattresses.

Mattresses cost = $1900

Commission on third mattresses = 0.0975 × 1900

                                                           =$185.25

Now find out the commission of fourth mattresses.

Mattresses cost = $800

Commission on fourth mattresses = 0.0975 × 800

                                                           =$78

Thus

Total Commission =  Commission on first mattresses + Commission on second mattresses +  Commission on third mattresses +  Commission on fourth mattresses

Put value in the above

Total Commission = $234 +$312 + $185.25 + $78

                              =$809.25

Therefore the Britney earn last week $809.25 .