how do u write 6 more than the product of 5 and a number

Answer:

Step-by-step explanation:

f(x) = 4x² - 6

To find f(3) substitute the value of x that's 3 into f (x) that is for every x in f (x) replace it with 3

We have

f(3) = 4(3)² - 6

= 4(9) - 6

= 36 - 6

We have the final answer as

Hope this helps you

Answer: f(3) = 30

Step-by-step explanation:

Dennis must work for at least 10.81 hours to earn at least $100.

What is inequality in mathematics?

An inequality in mathematics is a statement that compares two values or expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

For example, x < 5 is an inequality that says that the value of x is less than 5. Another example is y ≥ 2x + 3, which is an inequality that says that the value of y is greater than or equal to 2 times x plus 3.

Inequalities are often used to describe ranges of values, such as the set of all numbers that are less than or equal to 5 (written as x ≤ 5) or the set of all numbers that are greater than 2 and less than 7 (written as 2 < x < 7). Inequalities can be solved, graphed on a number line, and used to make comparisons between values or expressions.

Let's start by writing an expression for the total amount of money Dennis earns in x hours:

Total earnings = 1.75x + 7.5x

Simplifying this expression, we get:

Total earnings = 9.25x

Now, we want to find the inequality that represents the number of hours Dennis must work to earn at least $100. We can set up the inequality as follows:

9.25x ≥ 100

This inequality states that Dennis must earn at least $100, which is represented by the value on the right-hand side of the inequality. The left-hand side of the inequality represents Dennis's earnings, which we found to be 9.25x. Since we want to find the minimum number of hours Dennis must work to earn at least $100, we need to solve for x:

9.25x ≥ 100

x ≥ 100/9.25

Simplifying the right-hand side of the inequality, we get:

x ≥ 10.81

Therefore, the inequality that represents the number of hours Dennis must work to earn at least $100 is:

x ≥ 10.81

This means that Dennis must work for at least 10.81 hours to earn at least $100.

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Answer:

y= 8

Step-by-step explanation:

-2y+16=-5y+40

−2y=−5y+40−16

−2y=−5y+24

−2y+5y=24

3y=24

y= 24/3

y= 8

Answer:

2.

Step-by-step explanation:

Primarily, try to list the given set of numbers in ascending order (increasing order).

and then include 56 in the ascending order as the least number there.

which is like : 56, 82 ,83 ,85 ,87 ,91 ,93 ,95.

We now have 8 subsets.

To find the mean...Find the "average" by adding the above arranged values and then divide them by the number of subsets.

like this Mean = 56+82+83+85+87+91+93+95 ÷ 8 = 84.

and now look for the median...which is simply the sum of the two middle numbers in the arranged set which are 85 & 87 divided by 2 because that's their average.

Median = 85 + 87 ÷ 2 = 86.

and now we are supposed to find the difference of the mean & median. so let's subtract them from each other 86 - 84 = 2.

Peace to you.

Answer:

2

Finding the mean is simple.

Find the sum of the values by adding them all up.

Divide the sum by the number of values in the data set.

Finding the mode is also simple.

Place all numbers in a given set in order; this can be from lowest to highest or highest to lowest, and then count how many times each number appears in the set. The one that appears the most is the mode.

Answer:

see attached for sketch of Empirical Rule

Step-by-step explanation:

The Empirical Rule (also known is the "68-95-99.7" rule) states that nearly all of the data will fall within three standard deviations of the mean.

We have the following inequality

and its graph is

Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

Answer:

y = 19.2

Step-by-step explanation:

We know there is relationship between y and x, so according to the formula \(y = kx\)

k = 12/5

we get one function y = 2.4x

when x = 8, input it into the function,

y = 2.4×8 = 19.2

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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The measure of the angle ABD is (3x + 29)  

Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.

When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.

Here we have

BD bisects ABC and ∠ABC = 6x+58  

When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure

Here BD bisected ABC

The resultant angles will be ∠ABD and ∠DBC

Hence,

=> ∠ABC = ∠ABD + ∠DBC

=> ∠ABC = ∠ABD + ∠ABD   [ Since two angles are equal

=> ∠ABC = 2∠ABD  

From the given data,

=> 6x + 58 = 2∠ABD  

=> 2 ∠ABD = 2(3x + 29)

=> ∠ABD = (3x + 29)  

Therefore,

The measure of the angle ABD is (3x + 29)  

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Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

The percentage of adults who preferred soccer or basketball is 25%.

The size of each slice in a circle graph, also called a pie chart, indicates the proportion or percentage of each category, and the information is displayed as a circle divided into sections or slices. Circle graphs are frequently used to compare various categories in a dataset or to illustrate how various components contribute to the overall. They are particularly helpful when working with data that can be broken down into distinct categories, such survey results or demographic data.

From the circle graph we see that, percentage of adults who preferred soccer is 11%, and the percentage who preferred baseball is 14%.

Thus,

11% + 14% = 25%

Hence, the percentage of adults who preferred soccer or basketball is 25%.

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Answer:

Distance = 13

Step-by-step explanation:

Using the distance formula, plug in the two points:

d = sqrt(9-(-3))^2+(-3-2)^2

d = sqrt(12)^2+(-5)^2

d = sqrt144+25

d = sqrt169

d = 13

Answer:

its A my friend because: 48/2=24. 72/2=36

24/2=12. 36/2=18

12/2=6. 18/2=9

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:

1. Determine the ratio between the first and last parts. In this case, it is 2:3.

2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.

3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.

4. Multiply the value of each part by the respective ratio values to obtain the individual parts:

- First part: 2 * 6 = 12

- Second part: 6

- Third part: 6

- Fourth part: 6

- Last part: 3 * 6 = 18

Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.

Answer:

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Step-by-step explanation:

Let the price  of popcorn be x

Let the price  of drink be y.

price  of  12 bags of popcorn will be 12x

price  of  2 drinks  will be 2y

it is given that "Kennedy spends a total of $77.50 on 12 bags of popcorn and 2 drinks."

thus

12x + 2y = 77.50

dividing LHS and RHS by 2 we have

12x/2 + 2y/2 = 77.50/2

=> 6x + y = 38.75 _________(1)

__________________________________________________

price  of  3 bags of popcorn will be 3x

price  of  6 drinks  will be 6y

it is given that "Olivia spends a total of $51.00 on 3 bags of popcorn and 6 drinks."

thus

3x + 6y = 51.00

dividing LHS and RHS by 3 we have

3x/3 + 6y/3 = 51/3

=> x + 2y = 17   _____________(2)

__________________________________________________

Thus we have two equation

6x + y = 38.75 _________(1)

x + 2y = 17

=> x = 17 - 2y

putting this value of x in equation 1 we have

6( 17 - 2y) + y = 38.75

=> 102 - 12y + y = 38.75

=> 102 - 11y = 38.75

=> -11y = 38.75 -102

=> -11y = -63.25

=> y = -63.25/-11 = 5.75

as we have x = 17 - 2y

using 5.75 in place of y

x = 17 - 2(5.75 )

=> x = 17 - 11.5

=> x = 5.5

Thus, system of equations are

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Answer:

A. 5:4

Step-by-step explanation:

Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 20 and Remaining = 16. So the ratio is 20:16 which is simplified to 5:4.

Answer:

Below.

Step-by-step explanation:

x/3x-1 divided by x-2/2x

= x/3x-1 * 2x/x-2

= 2x^2/(3x-1)(x-2).

If we expand the denominator it is

2x^2/(3x^2-7x+2).

Answer:2

Step-by-step explanation:

18 divided by 2 equals 9

and for 50 it’s 15  because 50 divided by 2 is 15 so it’s 2

The greatest common factor of 18 and 50 is 2.

Greatest Common Factor is defined as the greatest number that is a factor of both numbers when two numbers are involved.

A number that divides into another number completely is said to be a factor.

To put it another way, any two integers that multiply to produce a result are factors of the result.

We have to determine the greatest common factor of 18 and 50

The prime factorization of 18 is

⇒ 2 x 3 x 3 = 18.

The prime factorization of 50 is

⇒ 2 x 5 x 5 = 50.

The occurrence of common prime factors of 18 and 50 is 2.

So the greatest common factor of 18 and 27 = 2.

Therefore, the greatest common factor of 18 and 50 is 2.

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Answer:

x = -4, y = 6.

x = 0, y = 7.

x = 4, y = 8.

x = 8, y = 9.

Step-by-step explanation:

We are given the following rule:

\(y = \frac{x}{4} + 7\)

To solve this question, we replace x by the asked values.

When x = -4

\(y = \frac{-4}{4} + 7 = -1 + 7 = 6\)

So x = -4, y = 6.

When x = 0

\(y = \frac{0}{4} + 7 = 0 + 7 = 7\)

So x = 0, y = 7.

When x = 4

\(y = \frac{4}{4} + 7 = 1 + 7 = 8\)

So x = 4, y = 8.

When x = 8

\(y = \frac{8}{4} + 7 = 2 + 7 = 9\)

So x = 8, y = 9.

Answer:

400 units^2

Step-by-step explanation:

Its a bit much but.....

You have 3 lines that must intersect somewhere on those lines to form a triangle.  

You know from the lines y = 23 and x = -6, that those two lines will intersect at point (-6, 23) and also form the opposite and adjacent legs of a right triangle.

The line y = 2x - 5 has a slope of 2 and a y-intercept of 5.

To find intersecting points, set two equations equal to each other (rearrange first) and solve for the unknown value:

y - 2x + 5 + 23 = y

-2x = -28

x = 14

So, the line y = 2x - 5 will intersect the line y = 23 at the point (14, 23)

Now to find where the line will intersect x = -6:

y =    2x  -   5

0y = -2x  - 12

y  =   -17

So, the line y = 2x + 5 will intersect the line x = -6 at point (-6, -17)

We know that the distance of a line is defined as x2 - x1 for horizontal lines.

We know that the distance of a line is defined as y2 - y1 for vertical lines.

So the distance of the x = -6 line is the y-values for the points were the line y = 2x + 5 intersects and where the line y = 23 intersects.  

23 - (-17) = 23 + 17 = 40

The distance of the line x = -6 is 40 units.

14 - (-6) = 14 + 6 = 20

The distance of the line y = 23 is 20 units.

We know the area for a right triangle formula is A = ab/2:

A = 20(40)/2

A = 800/2

A = 400 units2

The area of the triangle formed by the the three lines is 400 units2

If my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. The probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil is 0.45.

Total color = 5 gold + 7 blue + 10 pink

Total color = 22

Now let find the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil

Probability (pink) = 10/22

Probability (pink) = 0.45

Therefore the  probability of Callie Brooke getting a pink foil-wrapped chocolate egg is 10/22, or approximately 0.45.

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Answer:

Option B

Step-by-step explanation:

The margin of error describes how many percentage points the results will differ from the real population value, thus 'the margin of error for a 95% confidence interval is given as plus or minus 7 milligrams per deciliter of blood (mg/dl)' can be interpreted as 'The study used a method that gives a results within 7 mg/dl of the truth about the population in 95% of all samples.'

Answer:

-2

Step-by-step explanation:

Given equation is x²+px+1=0

comparing the equation with ax²+bx+c=0

then a=1,b=p,c=1

let the roots one root of the equation be A then

by question, another root is A².

we know

A(ALPHA)+A²(beta)=-b/a

A+A²=-p/1

A+A²=-p......1

again

A*A²=c/a

A³=1/1

A³=1

A=1

Now,

substituting A=1 in equation 1

1+1²=-p

2=-p

Therefore p=-2.

Given:

The point is (-6,5).

It is on the terminal side of theta.

To find:

The values of \(\sin\theta\) and \(\cos \theta\).

Solution:

In the point (-6,5),

x-coordinate : x=-6

y-coordinate : y=5

So, \(r=\sqrt{x^2+y^2}\)

\(r=\sqrt{(-6)^2+(5)^2}\)

\(r=\sqrt{36+25}\)

\(r=\sqrt{61}\)

Now,

\(\sin \theta=\dfrac{y}{r}\)

\(\sin \theta=\dfrac{5}{\sqrt{61}}\)

\(\cos \theta=\dfrac{x}{r}\)

\(\cos \theta=\dfrac{-6}{\sqrt{61}}\)

Therefore, the required values are \(\sin \theta=\dfrac{5}{\sqrt{61}}\) and \(\cos \theta=-\dfrac{6}{\sqrt{61}}\).

Answer:

2/5

Step-by-step explanation:

start by 8*5 then 10 times 10 then simplify

Answer:

2/5

Step-by-step explanation:

A nickel is worth= 5 cents.

A dime is worth= 10 cents.

So ratio=8×5/10×10

=40/100

=2/5

So the ratio is 2/5

Answer:

y = 90

Step-by-step explanation:

Given,

x and y vary directly

Also, when y = 120, x = 15

So,

x = 1, y = 120/15 = 8

Therefore, when x = 6, y = 90

Step-by-step explanation:

you can ask questions for clarification

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

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