Let and y be whole-number variables such that y is the greatest whole number less than or equal to the table below lists some valuesfor and y.xy79411 513 6Which of the following statements is true?A. y changes by a constant amount when r changes by 2.OB. z changes by a constant amount when y changes by 1.C. y changes by a constant amount when changes by 1.D. 2 changes by a constant amount when y changes by 2.

The associative property states that the way the factors are grouped in a multiplication does not change the result.

Grouping 7 and 4

13 * (4*7) = 13 *(28 ) = 364

13 and 7

(13*7)*4 = 91*4= 364

13 and 4

(13*4)*7 = 52*7 = 364

So, the correct options are a and b ( the first 2 options)

Let y be the number of female customers in the restaurant. Since we know that 3 out of 4 customers are females and that x is the total number of customers, this means that:

The conversion for distance in kilometer to miles is as,

Determine the number of miles in 8.045 km.

So Nanny ran 5 miles.

Find 7•(1-6p)

First eliminate parenthesis

Apply distributive law

a•(b+c) = ab + ac

Then

7•(1-6p) = 7•1 - 7•6p

. = 7 -42p

ANSWER IS

7 - 42p

Given

The inequality,

To find:

Which set of graphs can be used to find the solution to the equation?

Explanation:

It is given that,

That implies,

The graph representing 3e^x is,

Also, the graph representing y> - ( 1/2) x is,

By combining these two we get,

Note that in any sine function :

Amplitude = A

Verical Shift or midline = D

Period = (2π)/B

Horizontal or Phase Shift = C

From the given,

since we dont have any horizontal shift, C = 0.

Amplitude = 5, so A = 5

Midline = 4, so D = 4

and

Period = 3/2, so equating it to (2 π)/B

Now, substituting the values obtained, the sine function will be :

Given: Ratio of students that voted for A compared to B is 7:4

A recieved 21 votes so let B recieve x votes.

So as the given ratios,

Hence, combined votes received by candidate A and B is 12+21=33

Since this is a normal distribution, the area between the z-scores z₁ = 1 and z₂ = 1.81 is just the probability that the random variable Z is between z₁ and z₂:

Using the values reported on tables for the standardized normal distribution, we know that:

Now, using these results:

By definition, two vector are equivalent when they have the same length, and they point in the same direction. Any two or more vectors will be equal if they are collinear, codirected, and have the same magnitude.

Answer:

The solution is 6,375

Step-by-step explanation:

[tex] \sf 6 \frac{3}{8} \\ \\ = \sf \frac{6 \times 8 + 3}{8} \\ \\ \sf \frac{48 + 3}{8} \\ \\ = \sf \frac{51}{8} \\ \\ = \sf 51 \div 8 \\ \\ = \sf6.375[/tex]

1) Since we have a table for grouped data, we need to place into that table another column with the middle point of each interval to get the mean.

2) Setting that table with another column we've got:

Age Middlepoint Male Female Male*freq Female*fr

0-9 (0+9)/2 =4.5 10 9 10*4.5=45 9*4.5=40.5

10-19 (10+19)/2=14.5 11 5 159.5 72.5

20-29 (20+29)/2= 24.5 12 13 294 318.5

30-39 (30+39)/2= 34.5 16 19 552 655.5

40-49 (40+49)/2= 44.5 25 21 1112.5 934.5

50-59 (50+59)/2= 54.5 20 24 1090 1308

60-69 (60+69)/2=64.5 18 18 1161 1161

70-79 (70+79)/2= 74.5 15 14 117.5 1043

Now, we can pick the absolute frequency of males and females and multiply by the middle point.

Now we can add the number of males multiplied by the frequency and divide them by the sum of the frequencies, this way:

3) Now to find the standard deviation of this population, we can write out the following:

We will have the following:

First, we are given the following expressions for the rectangle's length and width respectively:

&

Now, we calculate the length and width using the perimeter:

So:

Then:

So, the measurements of the length and the width are respectively 12 units and 6 units.

we have the expression

so

Verify each statement

A, It is less than 1/2 -----> is not true

B. It is greater than 5 ----> is not true

C. It is between 5 and 6 ----> is not true

D. It is between 1/2 and 5 ----> is true

because

1/2 < 5/2 < 5

therefore

The answer is option D

So we need to compare two numbers. This means telling which is smaller and which is greater or if they are equal. In this case we have decimal numbers but it's more comfortable to work with integers so I'm going to multiply both by the same number in order to make them integers:

Since both a and b where multiplied by the same number then the result of the comparison between A and B is the same as that between a and b. So we have 432 and 437. Let's make a substraction:

The result is a negative number which means that:

Then we add B at both sides of this inequality:

You can multiply the first equation by 4:

3x - y = 1 (*4)

12x-4y=4

Adding both equations:

12x - 4y = 4

+

-12x + y = 7

__________

0x - 3y = 11

so, you eliminate the X.

In order to eliminate the variable x when the two equations are added together, we needed to multiply the first equation by 4.

To eliminate the variable x when adding the two equations:

First, let's write the equations in a form where the x and y terms have opposite coefficients:

3x - y = 1 (Equation 1)

-12x + y = 7 (Equation 2)

To eliminate the x term, we can multiply Equation 1 by 4:

4 (3x - y) = 4 × 1

12x - 4y = 4 (Equation 3)

Now, we can add Equation 2 and Equation 3 together:

(-12x + y) + (12x - 4y) = 7 + 4

-12x + 12x + y - 4y = 11x - 3y = 11

The x term has been eliminated, and we are left with the equation 11x - 3y = 11.

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She has an expected income of $1250.

The total expenses are $490 + $529.50 = $1019.50.

She has a superavit that she can save. This amount is $1250 - $1019.50 = $230.50.

Answer: the budget balance does not balance because the income is greater than the expenses.

The domain restrictions that apply on the given rational expression are that x can neither be 0 nor 7.

We are given the rational expression:-

[tex]\frac{(14-2x)}{(x^2-7x)}[/tex]

We have to find the domain restrictions that apply on the given expression.

We know that in a fraction, denominator cannot be 0, or else it will make the fraction indefinite.

Hence, by putting the denominator as 0, we will get the domain restrictions of the expression.

[tex]x^2-7x=0[/tex]

x(x - 7) = 0

x = 0 and 7

Hence, the domain restrictions that apply on the given rational expression are that x can neither be 0 nor 7.

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Solution

For this case we know that the price is 10$ per bottle with 8% of tax

We can find the tax using this:

With x= tax value, solving for x we got:

Then the total price is: 10+0.8 = 10.8

Then we can find the change like this:

20-10.8= 9.2

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).

In the case of two not mutually exclusive events, we have that, given events A and B,

Notice that if we only include the first two contributions, we would count the intersection of the two events twice; therefore, we must subtract the probability of its intersection once.

In our case,

Therefore, the answer is 10/11.

hello

to solve this question, we simpply need to multiply both fractions

from the calculation above, the value of answer is 4/15

The main values in order to find the surface are the width and the length, therefore, the surface will be the product between them

Because the box cover from a gift box depends on the width and length, the surface area is 1350cm^2.

Given:-

A rectangular piece of metal is 25 in longer than it is wide Squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 1530 in.

To find the original width.

The formula for volume of the box is,

The volume given is 1530.

Also we have,

Substiutiting the values. we get,

Divide both sides by 5,

So,

So now we get,

Now we solve the quadratic equation,

So now we skip the negative value and take the positve value 19.

So the required value is 19.

Step 1

x(7x+4)

Step2

x_1=0, x_2 =-4/7

Step 1)

1) Let's factor that incomplete quadratic equation (since c=0):

7x² = -4x Add 4x to both sides

7x² + 4x = 0 Place outside the parenthese the common factor: x

x(7x+4) = 0

Step 2)

Now we can solve that:

x(7x+4)=0 Which number multiplied by x yields 0?

Then we can state that x_1 = 0

Solving that Linear Factor:

(7x +4) = 0 Removing the Parentheses

7x +4 = 0 Subtract 4 from both sides

7x = -4 Divide both sides by 7

x = -4/7

3) Hence, the answers are:

Step 1

x(7x+4)

Step2

x_1=0, x_2 =-4/7

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution.

So we have

So we can apply the rule to obtain

We have the following:

let s is speed, d is distance and t is time, therefore:

Therefore, the answer is the third option 12 2/3 miles

15 pizza ---> $195

100 pizza --> x

answer:

$13000

(p) is the product of 7 to the sum of 3 and 9

This means we take the sum of "3" and "9" and multiply it with the variable "p". The expression is shown below

The difference of (T) and 24 is 9 more than 34 ​

The difference of T and 24 means T - 24

is 9 more than 34 means 34 + 9

Writing it together: