The difference of a number and 6 is the same as 5 times the sun of the number and 2 what’s is the number

Using graphical method to find the solution to the system of linear equation, x = -7/2, y = 1/2

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

The equations given are

Using graphical method, the solution to the system of linear equation is the point of intersection between the two lines.

Using a graphing calculator;

The point of intersection (x, y) are ( - 3.54, 0.494) which can be estimated as x = -7/2, y = 1/2

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Answer:

march

Step-by-step explanation:

the negatives are all lower then 0, hope this helps

Answer:

It's march.

Step-by-step explanation:

Answer:

47*

Step-by-step explanation:

Each corner of the square is 90*

angle CBE + angle ABE = 90*

fill in the blanks

43 + x = 90

subtract 43 from both sides

x = 47*

Determine the volume of box.

Determine the volume of ball.

Determine the number of balls in the box.

So, 70 baseballs in the Jenny's box.

Answer:

The correct answer is A.

Step-by-step explanation:

The correct answer is A.

To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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The expression that should be used is tan 67° = 210/x, tan 23° = x/210.

Given is a figure, we need to find the value of x,

So, the figure is creating a right triangle, the angle of elevation is equal to the angle of depression,

So, the two acute angles in the triangle will be 23° and 67°.

Also, the tangent of an angle is equal to the ratio of the perpendicular side to the base,

Taking 67° as reference angle, we get,

Tan 67° = x / 210

Taking 23° as reference angle, we get,

Tan 23° = 210/x

Hence the expression that should be used is tan 67° = 210/x, tan 23° = x/210.

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Answer/Step-by-step explanation:

When solving problems like this, remember the following:

1. + × + = +

2. + × - = -

3. - × + = -

4. - × - = +

Let's solve:

a. (-4) + (+10) + (+4) + (-2)

Open the bracket

- 4 + 10 + 4 - 2

= - 4 - 2 + 10 + 4

= - 6 + 14 = 8

b. (+5) + (-8) + (+3) + (-7)

= + 5 - 8 + 3 - 7

= 5 + 3 - 8 - 7

= 8 - 15

= - 7

c. (-19) + (+14) + (+21) + (-23)

= - 19 + 14 + 21 - 23

= - 19 - 23 + 14 + 21

= - 42 + 35

= - 7

d. (+5) - (-10) - (+4)

= + 5 + 10 - 4

= 15 - 4 = 11

e. (-3) - (-3) - (-3)

= - 3 + 3 + 3

= - 3 + 9

= 6

f. (+26) - (-32) - (+15) - (-8)

= 26 + 32 - 15 + 8

= 26 + 32 + 8 - 15

= 66 - 15

= 51

Answer:

6.3

Step-by-step explanation:

99(.07)=6.3

original price was 92.7 + 6.3 gives you 99

To calculate the probability of arrival of ten customer in one hour at a service station then use of option a. Poisson probability distribution is more applicable.

Therefore, the required probability for the given situation is Poisson probability distribution .

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Answer:

(j + s) /2

Step-by-step explanation:

Write and equation that represents his initial savings and his weekly savings rate

Initial savings = $295

Savings per week = $75

Let the number of savings made per week = weekly savings rate be s

so weekly savings = 75 x s = 75s

Hence the total (t) that he has saved at any particular time =

The triangles are not similar. Triangle EFG and Triangle QRS are not similar. ΔEFG not ~ ΔQRS

From the question, we are to determine if the given triangles are similar

From one of Triangle similarity theorems, AA (or AAA) or Angle-Angle Similarity theorem.

The Angle-Angle similarity theorem states that If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other

In the given diagram,

In triangle EFG

m ∠E = 104°

m ∠F = 45°

m ∠G = 180° - (104° + 45°) = 31°

In triangle QRS

m ∠R = 100°

m ∠Q = 45°

m ∠S = 180° - (100° + 45°) = 35°

Since no two angles of one of the triangles are equal to any two angles of other triangle, the triangles are not similar

Hence,

ΔEFG not ~ ΔQRS

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The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

Option C. A random sample of attendees would be a group of attendees selected in a systematic and unbiased manner, such that each attendee has an equal chance of being selected to participate in the survey.

This ensures that the opinions represented in the survey are representative of the opinions of the entire attendee population. For example, the organizers could randomly select every 10th attendee, or they could use a random number generator to select a certain number of attendees. The important thing is that the selection process is not influenced by any extraneous factors and is done in a way that ensures each attendee has an equal chance of being selected.

Finally, it is also important to ensure that the survey questions are clear, unbiased, and relevant to the topic being studied. This will help ensure that the responses obtained are meaningful and accurately reflect the opinions of the attendees.

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The organizers of a conference want to survey attendees about the registration fee. Which of the following best describes a random sample of attendees?

A. The organizers form groups of 20 attendees based on the day the attendees registered. Then, the organizers randomly choose 4 groups and select all of the attendees in these groups.

B. The organizers select the first 80 attendees who register for the conference because these attendees are easily accessible.

C. The organizers assign each attendee a different number. Using a random number table, the organizers draw 80 of those numbers at random. Then, organizers select the attendees assigned to the drawn numbers. Every set of 80 attendees is equally likely to be drawn using the random number table.

Answer:

3) 49*x^2*y^2

4) x

5) 1

6) 8

Step-by-step explanation:

3).  ( 7xy)^2

=. 7^2 * x^2 * y^2

= 49*x^2*y^2

4). x^3 / x^2

=  x

5). 7^0

=.  1

6). 8x^0

= 8

Answer:

• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.

Step-by-step explanation:

\({ \tt{g(x) = \frac{ {x}^{2} + 5x}{3x} }} \\ \)

If x approaches -∞;

\({ \tt{g( {}^{ - } \infin}) = \frac{ {( {}^{ - } \infin)}^{2} + {}^{ - } \infin}{ {}^{ - } \infin} } \\ \\ { \boxed{ \tt{g( {}^{ - } \infin) = {}^{ - } \infin }}}\)

If x approaches +∞;

\({ \tt{g( {}^{ + } \infin) = \frac{ {( \infin)}^{2} + \infin}{ \infin} }} \\ \\ { \boxed{ \tt{ g( {}^{ + } \infin) = {}^{ + } \infin }}}\)

Note: I'm taking my infinite value to be 1,000

The room temperature after 8 hours after the process begins would be 10°C.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Based on the information provided above, a linear equation that models the cooling machine is given by;

y = mx + c

y = -5x + 50

By substituting the given parameter (x = 8 hours), we have the following:

y = -5(8) + 50

y = -40 + 10

y = 10°C

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Answer:

6 clown fish and 4 angel fish

Step-by-step explanation:

lets say he bought 8 clown fish.

12*8 = 96

the last 4 dollars wont be used.

lets say he bought 7 clown fish-

12*7 = 84

100 - 84 = 16. 16 is not a multiple of 7.

lets say he bought 6 clown fish,

12*6 = 72

100 - 72 = 28

28/7 = 4

If David has $100 dollars to spend and wants to spend every dollar, he can buy 6 clown fish and 4 angel fish.

The Event of choosing a letter from F to D is

n(A) = 4

A series of possible results from an experiment that have been given a probability is called an event. Separate events in an experiment may not be equally probable, since they may involve vastly dissimilar sets of outcomes, and a single result may be a component of many different events.

Given that a bag contains eight different balls, each of which is labeled from A to H. Given that a ball is selected at random, and the letter it lands on is written down as the result. Given that there is an equal chance of drawing any one of the balls, the sample space for drawing one ball is

Generally, the equation for S is  mathematically given as

S = {A,B,C,D,E,F,G,H} and n(S) = 8

Therefore

G = The event of choosing a label from D to F

Where

F= {A,B,C,D}  

Sample size

n(A) = 4

In conclusion,

n(A) = 4

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The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7

A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.

Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.

We can start by using the three given pοints tο set up a system οf three equatiοns:

\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)

SimpIifying each equatiοn, we get:

a + b + c = -8 (equatiοn 1)

4a + 2b + c = -4 (equatiοn 2)

9a + 3b + c = 6 (equatiοn 3)

AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.

SοIving the system using technοIοgy, we get:

a = 5

b = -20

c = 7

Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:

y = 5x² - 20x + 7

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Juan could have a maximum of 3 quarters.

1. Let's assume Juan has x quarters.

2. The value of x quarters in dollars would be 0.25x.

3. We are given that Juan has 18 dimes, which have a value of 0.10 * 18 = $1.80.

4. The combined value of Juan's dimes and quarters should be less than or equal to $2.75.

5. We can write the equation: 0.25x + 1.80 ≤ 2.75.

6. Subtracting 1.80 from both sides of the equation, we have: 0.25x ≤ 2.75 - 1.80.

7. Simplifying, we get: 0.25x ≤ 0.95.

8. Dividing both sides of the inequality by 0.25, we have: x ≤ 0.95 / 0.25.

9. Evaluating the expression, we find: x ≤ 3.8.

10. Since Juan cannot have a fraction of a quarter, the maximum number of quarters he could have is 3.

11. However, we need to check if the combined value of the dimes and quarters is at least $0.20.

12. If Juan has 3 quarters (0.25 * 3 = $0.75) and 18 dimes ($1.80), the combined value is $0.75 + $1.80 = $2.55.

13. Since $2.55 is less than $2.75, Juan can have 3 quarters.

14. Therefore, the maximum number of quarters Juan could have is 3.

Note: There are no possible solutions where Juan has more than 3 quarters and still satisfies the conditions.

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Answer:

A seems to be correct

Step-by-step explanation:

Answer:

20 adults

100 Children

Step-by-step explanation:

Answer: 20 adults and 100 children

Step-by-step explanation:

a = adults, c = children

120 = a + c

c = 5a

120 = a + 5a

120 = 6a

20 = a

20 times 5 is 100 so 100 children

Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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Answer:

\(\frac{9}{c}\)

Step-by-step explanation:

Mr. Carreon can give his students 243 different combinations of quizzes for a one-school week if he chooses to give a quiz in either math, science or history each day.

To find the number of different combinations of quizzes that Mr. Carreon can give his students for a one-school week, we can use the concept of permutations and combinations.

Since there are three subjects (math, science, and history) and Mr. Carreon can give a quiz in any of these subjects on each day of the week, the number of different combinations of quizzes for the week is given by the product of the number of choices for each day. That is,

Number of combinations = Number of choices on Monday * Number of choices on Tuesday * ... * Number of choices on Friday

Since there are 3 subjects to choose from for each day, the number of choices for each day is 3. Therefore, the number of different combinations of quizzes for the week is:

Number of combinations = 3 * 3 * 3 * 3 * 3 = 3^5 = 243

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