Round 35,894 to the greatest place

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:

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.

Answer:

7.5

Step-by-step explanation:

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:

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.

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 .

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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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: 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