Please help me figure out the line Is it 4x + 2Y = 8

Given:

Score in first round = 5 points

Score in second, third and fourth rounds was identical.

A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round.

To find:

The inequality for the given problem.

Solution:

Let p be the number of points, p, that Steward scored in each of the second, third, and fourth rounds.

Score in first 4 rounds = Score of 1st round + Score of 2nd round + Score of  1s 3rd round + Score of 4th round

Score in first 4 rounds \(=5 + p + p + p\)

                                     \(=5 +3p\)

A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. It means the total score in first 4 rounds must be greater than or equal to 30.

\(5+3p\geq 30\)

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Answer:

15,18,21

Step-by-step explanation:

Answer:

15 18 21

Step-by-step explanation:

its skskskskskksksskskkssksksksk

Answer:

Step-by-step explanation:

You want to know if David's solution of -2x for (5x-4) -(3x) is correct, and what David should have done.

David's solution is correct up to Step 4.

At that point, it appears as though David treated -4 as if it were -4x. The constant cannot be combined with x terms. Step 4 should have been ...

  Step 4: (5 -3)x -4 = 2x -4

David's incorrect solution should have been 2x -4.

Answer:

im deaf and i can't see

Step-by-step explanation:im - deaf - and - i - cant - see

Answer:

y = x + 4

y = -2x - 4

Step-by-step explanation:

Since equation of the line having slope 'm' and y-intercept 'b' is given by,

y = mx + b

Slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

Slope of line passing through (1, 5) and (-1, 3),

m = \(\frac{5-3}{1+1}\) = 1

y-intercept 'b' = 4

Therefore, equation of the line is,

y = 1.x + 4

y = x + 4

Now slope of another line passing through (-4, 4) and (-1, -2) will be,

m = \(\frac{4+2}{-4+1}\)

m = -2

y-intercept 'b' of this line = -4

Equation of the other line,

y = (-2)x - 4

y = -2x - 4

Therefore, system of equations is,

y = x + 4

y = -2x - 4

The system of equations is given by: y = x + 4 and y = -2x - 4

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

The first line passes through point (-1, 3) and (1, 5) hence:

\(y- y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{5-3}{1-(-1)} (x-(-1))\\\\y=x+4\)

The second line passes through point (-4, 4) and (-1, -2) hence:

\(y- y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-4=\frac{-2-4}{-1-(-4)} (x-(-4))\\\\y=-2x-4\)

The system of equations is given by: y = x + 4 and y = -2x - 4

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Answer:

7.076 m

Step-by-step explanation:

First, calculate the perimeter of the pentagon by multiplying the number of sides by the length of one side. This is equal to 5 * 7.1 = 35.5 meters.

Divide the perimeter by 2 to find the length of one side of the pentagon's inscribed triangle. This is equal to 35.5 / 2 = 17.75 meters.

Use the formula for the area of a regular pentagon to find the length of the apothem: A = (Perimeter * Apothem) / 2. Solving for the apothem:

Apothem = (2 * Area) / Perimeter = (2 * 124.25) / 35.5 = 7.076 meters.

At x = 86 gives minimum value of surface area and the dimensions of the box that minimize the amount of material used.

The surface area of an object refers to the overall space filled by its surfaces. Different 3D shapes in geometry have various surface areas, which may be quickly estimated using the formulas we shall learn in this lesson. Two categories are used to classify the surface area:

Curved surface area or Lateral surface area

Surface area in total

V = x²h = 318028

h = 318028 / x²

∴ A( x ) = x² + 4ah = x² + 1272112 / x .

 Derivative of A(x)

= 2x - 1272112 / x² = 0

After solving

x³ = 636056

x= 86

After doing double derivative we get the point as Positive,

A''(x) = 2 + 2544224 / x³

A''(86)= 6

Hence at x = 86 gives minimum value of surface area.

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The amount after 5 years on $100 using the compound interest is $122.

According to the question,

We have the following information:

Principal = $100

Interest Rate = 4%

Time= 5 years

We know that the following formula is used to find the total amount if there is compound interest:

Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years

(Note that there are different formulas for compound interest depending on how it is calculated.)

A = \(100(1+\frac{4}{100})^{5}\)

A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)

A = 100*1.22

A = $122

Hence, the amount after 5 years on $100 using the compound interest is $122.

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Answer:

2n petals when n is even and n when n is odd

Step-by-step explanation:

edge 2020

Answer:

2n petals when n is even and n when n is odd

Step-by-step explanation:

edge

Answer:

Smallest element in the set of range is -3

Step-by-step explanation:

From the given set of ordered pairs,

x-value of each pair represents the Domain of the relation.

y-value of the pair represents the Range of the relation.

Set of domain:

{0, 1, 2, 3, 4, 5, 6}

Set of Range:

{1, 3, 2, 5, 2, -3, 2}

Smallest number in the set of range = -3.

Therefore, smallest element in the set of range is -3.

Answer:  not a triangle

Step-by-step explanation:

To form a triangle, the sum of any two sides must be greater than the third side. (Triangle Inequality Theorem.) Let's check that first.

6 + 12 = 18, and the third side is 19

6 + 12 should be greater than the third side, but it's not.

Well, we got lucky and finished quickly. This can't be a triangle.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:600?

Step-by-step explanation:

Step-by-step explanation:

the correct one is a = (-b)/2

Answer:

A and C

I hope it helps ❤️

Answer: A and C

Step-by-step explanation:

Determine the answer by solving for x in each equation.

A. x + 4= 7    subtract 4 from both sides

        -4   -4

   x =  3    

B.   x/9 = 3    multiply both sides by  9  

       x=27

C. 5-x =2   subtract 5 from both sides

    -5    -5

   -1x = -3

   x= 3

D.  8x = 32   divide both sides by 8

    x = 4

E .  x -10 = 7  Add 10 to both sides

          +10  +10

x = 17

A dilation by a scale factor of 5 centered at the  origin simply multplies by 5 the coordinates of every point. So, the new coordinates are (-5, -25)

Therefore, Kallie will need to use a total of 6 teaspoons of water conditioner for all the water in 12 fish tanks.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign, with the expression on the left being equal to the expression on the right. Equations are used to represent various relationships and situations in mathematics and other fields, and are solved to find the values of variables that make the equation true.

Here,

First, we need to determine the total amount of water in all 12 fish tanks. Since each fish tank is filled with 20 quarts of water, the total amount of water in all 12 fish tanks is:

12 fish tanks * 20 quarts per fish tank = 240 quarts of water

To convert quarts to gallons, we divide by 4 (since there are 4 quarts in a gallon):

240 quarts / 4 quarts per gallon = 60 gallons of water

Now, we can use the given conversion factor to determine how many teaspoons of water conditioner are needed for 60 gallons of water. Since for every 10 gallons of water, Kallie uses 1 teaspoon of water conditioner, for 60 gallons of water, she will use:

60 gallons / 10 gallons per teaspoon = 6 teaspoons of water conditioner

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Answer:

$10.10

Step-by-step explanation:

$7.50 + $2.60 = $10.10

Answer:

An acute triangle

Step-by-step explanation:

Answer:

-235+84i

Step-by-step explanation:

I hope this is what you were looking for.

The graph of the sinusoidal function shows that the mass oscillates up and down around the equilibrium position with an amplitude of 0.1 meters.

we can use a general form of sinusoidal function

h(t) = A sin(ωt + φ) + C

where:

A = amplitude (maximum displacement from the mean position)

ω = angular frequency (radians per second)

φ = phase angle (initial position of the oscillation)

C = vertical displacement (position of the mean or equilibrium position)

Since the mass is released from rest, we can assume that the initial displacement is zero, i.e., C = 0. Also, we know that the period of the oscillation is 1/f, where f is the frequency. Therefore, we can find the frequency from the given time period of 0.8 seconds.

Let's assume that the height of the mass oscillates with an amplitude of 0.1 meters and a frequency of 5π radians per second (corresponding to a period of 0.4 seconds), and the phase angle is 0.

h(t) = 0.1 sin(5πt)

We can plot this function for t ranging from 0 to 0.8 seconds using a graphing tool or by hand. Here is the resulting graph

    |

0.1 +                 . * .

    |             .*         *.

    |           .              .

    |         *                 *

    |        *                    *

    |      .                        .

    |     .                            .

    |   .*                                *.

    | .*                                      *.

-0.1 +----------------------------------------------

    0        0.2        0.4        0.6        0.8

The x-axis represents time in seconds, and the y-axis represents the height of the mass in meters. The graph shows that the mass oscillates up and down around the equilibrium position with an amplitude of 0.1 meters. The maximum height occurs at t = 0.1 seconds and t = 0.5 seconds, while the minimum height occurs at t = 0.3 seconds and t = 0.7 seconds. At t = 0.4 seconds and t = 0.8 seconds, the mass returns to the equilibrium position.

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Answer:

Step-by-step explanation:

What is 8/m - 11/3m=?

8/m - 113m =

(3 - 11/3)m + 8 =

8/3m + 8

Answer:

13/3m

Step-by-step explanation:

The probability that the tenth person randomly interviewed in that city is the fifth one to own a dog = 0.051

Given,

Consider the interview of a person is a trial.

Lets consider it success if a person  owns a dog and consequently , a person without a dog will be a failure.'

Let the random variable X represent the number of persons to be interviewed to get 5 dog owner: in other words, to get 5 successors.

Probability of a success in each trial is p = 0.3. Therefore probability of a failure in each trial is q = 1 - p = 0.7 .

Because trials are independent. X has a negative binomial distribution with parameters k = 5, p = 0.3

P(X =x ) = b(x: k, p) = \([(x-1)(k-1)] p^kq^r^-^k\)

where, x = k , k + 1 , k + 2......(1)

Now, Lets find the probability that the tenth person randomly interviewed in that city is the fifth one to own a dog

Using equation (1), we get:

P(X = 10) = b(10: 5, 0.3)

                = [(10-1) (5 - 1)]\((0.3)^5(0.7)^1^0^-^5\)

               = [(9)(4)] \((0.3)^5(0.7)^1^0^-^5\)

               = 0.05146

Hence, The probability that the tenth person randomly interviewed in that city is the fifth one to own a dog = 0.051

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1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

Answer:

Option 2.

Step-by-step explanation:

The first term is already given as -2.

Therefore, the options 1 and 4 are wrong.

The nth term has 3 multiplied.

-2 × 3 = -6

-6 × 3 = -18

-18 × -54

The answer is not option 3, because that sequence has no common difference or ratio.

Therefore, the answer is option 2.

Answer:

720 cherries

Step-by-step explanation:

3 pies need 240 cherries so the equation would be:

3c = 240

so, c = 80

But, he needs to make 9 "perfect" pies so you make the equation:

9c = 80*9

9c = 720

So Greg needs 720 cherries to make 9 perfect cherry pies.