A waitress sold 11 ribeye steak dinners and 14 grilled salmon dinners, totaling $551.11 on a particular day. Another day she sold 15 ribeye steak dinners and 7 grilled salmon dinners, totaling $581.47. How much did each type of dinner cost?

Answer:

  4.25

Step-by-step explanation:

The growth factor is 1 more than the growth rate. The growth rate is the rate of increase in a given time period.

  1 +325% = 1 +3.25 = 4.25

The growth factor is 4.25.

_____

The "increase" amount is what is added to the original. The growth factor is the multiplier of the original.

  x + 325%·x = x(1 +3.25) = 4.25x

Answer:

72 out of 600

Step-by-step explanation:

3 out of 25

25 times 24=600

so 3 times 24=72

72 out of 600

The factored form is (5x+2)(x-4).

What is factorization?

A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.

Here, we have

Given:  5 x squared minus 18 x minus 8

we have to find the factored form.

= 5x² - 18x - 8

= 5x² - 20x + 2x - 8

= 5x(x-4) + 2(x-4)

= (5x+2)(x-4)

Hence, the factored form is (5x+2)(x-4).

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Answer:

y=\(\frac{1}{2}\)x+1

Step-by-step explanation:

y=mx+b

m is the slope of the line, which you find by counting the rise over run between two points. In this case its up one, and right two, or \(\frac{1}{2}\).

b is the y intercept, or where the line crosses the y axis

The number of each type of tickets sold are;

180 adults tickets

260 students tickets

60 children tickets

Let us solve to get the solution using 3 variables.

Let c be the number of children's tickets

Let s be the number of student tickets

Let a be the number of adult tickets

We are told that the total number of tickets was 500

Thus;

a + s + c = 500   ------(1)

The number of adult tickets was 3 times the number of children's tickets. Thus;

a = 3c   ------(2)

The total cost of the tickets was $8070. Thus;

18a + 15s + 12c = 7860  ----(3)

We conclude that solving these three equations simultaneously gives us;

a = 180 adults

s = 260 students

c = 60 children

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Answer:

i) Given

ii) Definition of angle bisector

iii) angle addition

iv) Substitution

v) Combine like terms

Mark me brainliest pls

Answer:

1) Given

2) Definition of Angle Bisector

3) Angle Addition

4) Substitution

5) Combine Like Terms

Step-by-step explanation: Hope this helps!

Answer:

BOTH THE QUESTIONS ARE SAME!!

When finding a perpendicular slope, you need to change the signs and flip the reciprocal

The answer to your question is:

m = -2

Answer:

340=10*340 calculated

Answer:

340

Step-by-step explanation:

i know math alot

The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Here I will help you

Step-by-step explanation:

We have to divide 838,880 in to the 50%                                                                                      Like this

                            838,880/50%=1676

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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Answer:

The correct answer is $0

Step-by-step explanation:

The taxable income (line 6) on the 1040EZ form is:  

Taxable Income = -$3,650.

If the result is negative, it means the taxpayer's income is below the standard deduction threshold, and her taxable income would be $0.

Here,

To calculate the taxable income (line 6) on the 1040EZ form, we need to subtract the standard deduction from the adjusted gross income (AGI).

For the tax year 2021 (the last available information before my knowledge cutoff in September 2021), the standard deduction for a taxpayer filing as Single is $12,550.

Given that the taxpayer's adjusted gross income (AGI) is $8,900, we calculate the taxable income as follows:

Taxable Income = AGI - Standard Deduction

Taxable Income = $8,900 - $12,550

Taxable Income = -$3,650

If the result is negative, it means the taxpayer's income is below the standard deduction threshold, and her taxable income would be $0.

The taxpayer would not owe any federal income tax in this case.

However, she may still want to file her tax return to claim any potential tax credits or receive a refund if she had taxes withheld from her paycheck during the year.

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1. radius = 13cm

2. Diameter = 27.2cm

3. Diameter = 24m

4.  Radius = 24. 5m

The formula used for determining the area and also the circumference of a circle is given thus;

For the  area of a circle, we have;

A = πr²

Given that the parameters are;

For the circumference of a circle, we have;

C = 2πr

To calculate the  diameter of a circle, we have the formula;

Diameter = 2Radius

Now, substitute the values for each

1. radius = diameter/2 = 26/2

radius = 13cm

2. When the radius = 13.6m

diameter = 2(13.6) = 27.2m

3. When the radius = 12m

diameter = 2(12) =  24m

4. When the diameter  = 49m

Then, radius 49/2 = 24. 5m

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Answer:

\((fog)(x)=6x+18\)

Step-by-step explanation:

We are given:

f(x)=6x

and g(x)=x+3

We need to find (fog)(x)

(fog)(x) =f(g(x)) i.e we will put value of g(x) into f(x) i.e

\((fog)(x)=f(g(x))\\f(g(x))=6(x+3)\\f(g(x))=6x+18\)

So, \((fog)(x)=6x+18\)

Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

What is measurement?

An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.

Given:

Elena has a pet parakeet that weighs 6 when measured in one unit and

170 when measured in a different unit.

We have to find the correct units from grams and ounces for these.

We know that, 1 ounce is greater than 1 gram.

1 ounce = 28.3495 grams

Multiply both sides by 6.

6 ounces = 170.097 grams

Approximate the values to the nearest whole number.

6 ounces = 170 grams

Therefore, 6 ounces = 170 grams.

Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

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Answer:

4

Step-by-step explanation:

(1+2) +( 2/3 + 3/9)

3+1=4

Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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The critical value for a confidence level of 98% with a sample size of 32 is given as follows:

t = 2.4528.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 32 - 1 = 31 df, is t = 2.4528.

(df is one less than the sample size).

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Step-by-step explanation:

Many many happy returns of the day.

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The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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Answer:

Let us consider that ,

The worker can complete the work in x hours .

So, he can complete 1/x part of work in 1 hour.

Now, The workers does 2/3 of what he does. So they do 2/3(1/x) part of work in 1 hour . 2/3x work in 1 hour .

Consider them all working together,

So work done in one hour, = 1/x + 2/3x + 2/3x = 3 + 4 / 3x = 7/3x .

So, They taken 1 hour to complete 7/3th part of work. So, In 3x/7 hours , They all can complete the work.

Ratio of the time taken by all instead of only one = 3x/7 : x = 3/7 .

So ,The required option is 3/7

Hope my answer helped you!

Step-by-step explanation:

Answer:

\(\huge\boxed{Answer\hookleftarrow}\)

\(1 + 2 \\ = 3\)

Answer:it’s b

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x)=g(x)

x²-13x+40=x-5

x²-14x+45=0

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)