for a summer bbq you have 30 friends coming over. how many picnic tables do you need if you can seat 4 people at each picnic table?

For given function when f(x) = -20 then x = 2

In this question, f(x) varies inversely with x

We have been given f(x) = -8 when x = 5

We need to find x when f(x) = -20

So, we get an equation,

-20/5 = -8/x

-4 = -8/x

x = (-8)/(-4)

x = 2

Therefore, for given function when f(x) = -20 then x = 2

Learn more about Inverse Variation here:

https://brainly.com/question/1399950

#SPJ1

1. The tax percentage will be 4.5%.

2. An item that cost $20 would have a tax of $9.

3. Ray Bans cost $852.00, the total cost after tax would be $1,223.

Define percentage.

A value or ratio stated as a fraction of 100 is known as a percentage in mathematics. Percent is derived from the Latin word per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percentage sign, "%," is frequently used to denote it. An amount that is a percentage is dimensionless and has no assigned measurement.

Solution Explained:

Given here,

The original cost of the Sunglasses = $10

Total cost = $10.45

Tax amount = 10.45 - 10 = $0.45

1. Tax % = [tex]\frac{0.45}{10} X 100[/tex] = 4.5%

2. Using the tax percentage from (1),

Tax for an item that costs $20 is

= [tex]\frac{45}{100} X 20[/tex] = $9

3. Ray Bans cost = $852

Tax = [tex]\frac{45}{100} X 852[/tex] = $371.25

Total after-tax = 852 + 371.25 = $1,223

To learn more about percentage, use the link given
https://brainly.com/question/19247356
#SPJ9

The equation of the parabola is y = -1/3 ([tex]x^2[/tex]+4x).

What is parabola ?

  A bowl-shaped object forms a curve when the surface of the cone intersects a plane perpendicular to a straight line. Another curve is created when the moving point is moved such that the distance from the fixed point is equal to the distance from the fixed line. A parabola is a U-shaped curve representing the graph of a quadratic function. Graph of the equation y=x2,

Here the equation of the parabola is

=> y= a[tex]x^2[/tex]+bx+c.

Now pt given points to find value of a, b, c .

=> y = a(x-p)(x-q)

=> y = a(x+2-2)(x+2+2)

=> y = a(x)(x+4)

Here the line passes through the point ,

(x,y) = (-1,1)

=> 1 = a(-1)(-1+4)

=> 1 = a (-3)

=> a = -1/3.

Now the equation is ,

y = a (x)(x+4)

=> y = -1/3 ([tex]x^2[/tex]+4x)

Therefore the equation of the parabola is y = -1/3 ([tex]x^2[/tex]+4x).

To learn more about parabola refer the below link

https://brainly.com/question/4061870

#SPJ4

The value of c = 4.28 cm and the value of d = 30.3 cm

Consider the big triangle

The hypotenuse of the triangle = 39 cm

The base of the triangle = 25 cm

The vertical side = 7c

According to Pythagorean theorem

The square of the hypotenuse is equal to the sum of the square of the base and the square of the vertical side

[tex]39^2=25^2+(7c)^2[/tex]

1521 = 625 + [tex]49c^2[/tex]

[tex]49c^2[/tex] = 1521 - 625

[tex]49c^2[/tex] = 896

[tex]c^2[/tex] = 896 / 49

[tex]c^2[/tex] = 128/7

c = 4.28 cm

Consider the small triangle

The vertical side = 4c

= 4 × 4.28

= 17.12 cm

[tex]d^2=25^2+17.12^2[/tex]

[tex]d^2[/tex] = 625 + 293.09

[tex]d^2[/tex] = 918.09

d = 30.3 cm

Hence, the value of c = 4.28 cm and the value of d = 30.3 cm

Learn more about Pythagorean theorem here

brainly.com/question/14930619

#SPJ1

Answer:37/3

Step-by-step explanation:

the trick I always use is multiply your denominator by your whole number and add your numerator

After simplification, the cost of 1 spaghetti meal is 9.

In the given question,

Two people have the same amount of money to spend.

If person A buys 7 spaghetti meals, he has $2 left.

If person B buys 5 spaghetti meals, she has $20 left.

We have to find the cost of 1 spaghetti meal.

The both person have same amount of money to spend. So let both have $x to spend.

Let y be the cost of one spaghetti meals.

A buys 7 spaghetti meals and he has $2 left.

So the cost of 7 spaghetti meals is 7y.

Now he has $2 left so the total cost is equal to the sum of the cost of 7 spaghetti meals and $2.

The equation should be

7y+2=x......................(1)

B buys 5 spaghetti meals, she has $20 left.

So the cost of 5 spaghetti meals is 5y.

Now he has $20 left so the total cost is equal to the sum of the cost of 5 spaghetti meals and $20.

The equation should be

5y+20=x......................(2)

Now put the value of x from the equation 2 in equation 1.

So 7y+2=5y+20

Simplifying the equation.

Subtract 2 on both side

7y+2−2=5y+20−2

7y=5y+18

Subtract 5y on both side

7y−5y=5y+18−5y

2y=18

Divide by 2 on both side

2/2 y=18/2

y=9

Hence, the cost of 1 spaghetti meal is 9.

To learn more about simplification link is here

brainly.com/question/22157922

#SPJ1

Answer:

First, you want to solve the equation with her formula. We know the three consecutive odd numbers that add up to 75 are 23, 25, and 27. Megha seems to use 25 as x, so the first one is x-2. 25-2 = 23. The last one is 27-2=25. She has framed the equation correctly because when it comes to odd and even numbers, we skip the even numbers by 1 to get the odd number. Odd : 1, 3, 5. We skip the even numbers and add 2 everytime, so Megha used this to find the correct answer.

The required probability that the next 14 students to enroll should be an adult is 0.388.

Given that,
A university class has had 18 adult education students enroll so far, as well as 18 other students. Considering this data, how many of the next 14 students to enroll should you expect to be adult education students is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total students enroll = 18 adult + 18 other student
Total student enroll = 36 students,
Next studentes = 14 adult
Probability of next students to be adult = 14 / 36 = 0.388

Thus, the required probability that the next 14 students to enroll should be an adult is 0.388.

Learn more about probability here:

brainly.com/question/14290572

#SPJ1

The answer would be -49/18 after dividing 4 5/6 and -2 1/7, or in mixed fraction -2 13/18.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Divide 4 5/6 and -2 1/7

4 5/6 = 35/6

-2 1/7 = -15/7

= (35/6)/(-15/7)

= (35/6)(-7/15)

= -245/90

= -49/18

= -2 13/18

Thus, the answer would be -49/18 after dividing 4 5/6 and -2 1/7, or in mixed fraction -2 13/18.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ1

The rule for the transformation of ΔDEF to ΔD'E'F' is reflection about the line x = y

In this question, we can observe that

D(-3, 5) -> D(5, -3)

E(-3, 3) -> E'(3, -3)

F(1, 2) -> F'(2, 1)

This means, the coordinate (x, y) of preimage is transformed to (y, x)

This is nothing but reflection of triangle DEF about the line x = y

Therefore, the rule for the transformation of ΔDEF to ΔD'E'F' is reflection about the line x = y

Learn more about the reflection here:

https://brainly.com/question/10196840

#SPJ9

Answer:

Range is basically the Y-Values,

so in this case: {-3, -1, 1, 3}

happy learning

Hence, the blue paper will she need to cover all area of the bulletin board is 3.12.

The rectangle's characteristics are listed below:

Here, the length and width are different. So the bulletin board will be rectangle.

Given :

Length = 2.6 ; Width = 1.2

Area of rectangular bulletin board = Length * Width

= 2.6 * 1.2

= 3.12

Hence, the blue paper will she need to cover all area of the bulletin board is 3.12.

To know more about rectangle check the below link:

https://brainly.com/question/25292087

#SPJ1

From the given figure, measure of the required angle are as follow :

m∠h = 19° and Angle m∠c = 132°.

As given in the question,

From the given figure relation between the angles are as follow:

Angle a and 48° are linear pairs.

m ∠a + 48° = 180°

⇒ m ∠a = 132°

Two parallel lines and transversal is formed for the angle formed between them.

∠a and ∠c are pair alternate angles.

Measure of  ∠c = 132°

Measure of ∠d and 151° are linear pair .

m ∠d + 151° = 180°

⇒ m ∠d = 29°

m ∠h + m ∠c + m ∠d = 180°

⇒ m ∠h + 132° + 29° =180°

⇒ m ∠h = 19°

Therefore, from the given figure, measure of the required angle are as follow : m∠h = 19° and Angle m∠c = 132°.

Learn more about measure here

brainly.com/question/4725561

#SPJ1

Answer:

$0.80

Step-by-step explanation:

Given:

To find the unit price in dollars per centimeter, divide the total amount by the number of centimeters:

[tex]\implies \dfrac{16.40}{20.5}=\dfrac{164}{205}=\dfrac{41 \times 4}{41 \times 5}=\dfrac{4}{5}=0.8[/tex]

Therefore, the unit price in dollars per centimeter is $0.80.

An amount of $ 23,479.45 after a period of 5 years.

In this problem we find the case of an amount that increases itself by the effect of compound interest, that is, that the money deposited is increased accumulatively. The compound interest model is described below:

C' = C · (1 + r / 100)ⁿ

Where:

Please notice that four quarters equals a year.

If we know that C = 13,000, r = 3 and n = 20, then the final amount of the money deposited in the account after a period of 5 years is:

C' = 13,000 · (1 + 3 / 100)²⁰

C' = 23,479.45

The final amount of the money deposited is $ 23,479.45.

To learn more on compound interest: https://brainly.com/question/29335425

#SPJ1

It has a median value of 2. The absolute deviations about 2 are 1, 1, 0, 0, 2, 4, 7 which in turn have a median value of 1.

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It might be referred to as "the middle" value for a data collection. The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.

To know more about median,

https://brainly.com/question/28060453

#SPJ4

The number of adults surveyed until one who watches the Super Bowl is found.

Given information,

Let's say that 42% of adults in America are likely to watch the Super Bowl. Everybody is seen as independent. We are curious about how many adults in America we will have to poll before we discover one who will watch the Super Bowl.

Given that we are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.

Hence Random variable x is:

The number of adults surveyed until one who watches the Super Bowl is found.

To learn more about Random variable click here:

brainly.com/question/17238189

#SPJ4

Option-4 is correct, r m 0 Rc180° because the figure A'B'C'D'E' is obtained by rotating it by 180 degrees.

Given that,

We have to find which rule best explains the arrangement of transformations that converts figure ABCDE into figure A"B"C"D"E.

The diagram is given in the image.

Figure ABCDE is changed to Figure A"B"C"D"E in the provided figure.

The reflected image of a figure travelling along a line is situated at the same angle from the line as the original figure.

To create the figure A'B'C'D'E', the figure ABCDE must first be mirrored through the line m. The x and y coordinates of a figure change position and the y sign is inverted when it is rotated by 180 degrees.

The figure A'B'C'D'E' is obtained by rotating it by 180 degrees.

The final option, r m 0 Rc180°, is the correct one among all the others.

Therefore, Option-4 is correct, r m 0 Rc180° because the figure A'B'C'D'E' is obtained by rotating it by 180 degrees.

To learn more about degree visit: https://brainly.com/question/364572

#SPJ1

There is not enough evidence to conclude that the national average percent of low-income working families has improved since 2011.

At the null hypothesis, it is tested if the mean remains at 31.3, that is:

[tex]H_0: \mu = 31.3[/tex]

At the alternative hypothesis, it is tested if the mean has decreased, hence:

[tex]H_1: \mu < 31.3[/tex]

We have a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.05 and 16 - 1 = 15 df.

The t-distribution is used, as we have the standard deviation only for the sample, hence, using a calculator, the critical value is of:

t = -1.75.

The test statistic is given by the equation presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters of the equation are listed as follows:

In the context of this problem, the values of those parameters are:

[tex]\overline{x} = 29.8, \mu = 31.3, s = 4.1, n = 16[/tex]

Hence the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{29.8 - 31.3}{\frac{4.1}{\sqrt{16}}}[/tex]

t = -1.46.

The test statistic is greater than the critical value for the left tailed test, hence the null hypothesis is not rejected, meaning that there is not enough evidence to conclude that the national average percent of low-income working families has improved since 2011.

More can be learned about the test of an hypothesis at https://brainly.com/question/13873630

#SPJ1

Answer: it is B

Step-by-step explanation:

hope this helps!!

Answer:

Uhmmm You Didn't Say The Formula...

Answer:

3000 dollars per year

Step-by-step explanation:

hope this helped :)

The expanded form of 966966 is 9x(100,000) + 6x(10,000) + 6x(1,000) + 9x(100) + 6x(10) + 6x(1) which comprises operations on face values and place values.

What do we mean by expanded form?

The expanded form of a number is the representation of the number as summation of its digit multiplied by their respective place values.

For example, 783 in expanded form can be written as -

7x(100) + 8x(10) + 3x(1)

100, 10 and 1 are place values

7,8 and 3 are place values

According to the given data:

To write 966966 in expanded form

1. Write the number in standard form: 966,966

2. Multiply each digit with its place value.

9x(100,000)

6x(10,000)

6x(1,000)

9x(100)

6x(10)

6x(1)

3. Write the values in summation form to get the expanded form.

966,966 = 9x(100,000) +6x(10,000) + 6x(1,000) + 9x(100) + 6x(10) + 6x(1).

To know more about Expanded form visit

https://brainly.com/question/17837892

#SPJ13

Answer:

DC = 38 ; CM = 19

Step-by-step explanation:

DC = 2/3 DM

DC = 2/3 * 57

DC = 2 * 19

DC = 38

CM = 57 - 38 = 19

Adrian pay $5.0 for all the fruits.

Given that grapes cost $2. 35 per pound, orange cost $0. 99 per pound, and apple cost 1. 65 per pound.

We want to find the total amount Adrian should pay for the fruits.

The given grapes cost is $2.35 per pound.

The given orange cost is $ 0.99 per pound.

The given apple cost is $1.65 per pound.

We will find the total cost of the fruits by adding all the amounts of the fruits.

So,

Total cost=Cost of grapes+ Cost of orange+ Cost of apple

Total cost=2.35+0.99+1.65

Total cost=4.99 or 5.0(approx)

Hence, the Adrian will pay $5.0 when the grapes cost $2. 35 per pound, orange cost $0. 99 per pound, and apple cost 1. 65 per pound.

Learn more about the total cost from here brainly.com/question/25109150

#SPJ4

To make a profit of 20% the article should be sold for $12.1

The new selling price will be solved by comparing the percentage increment with the old selling price

The selling price is $10.8 and the profit is 8%

The cost of the item is gotten from the profit percent as below

10.8 * 0.08 = 0.864 (profit)

cost price + profit = selling price

cost price = selling price - profit

cost price = 10.8 - 0.864

cost price = 9.936

comparing the percentages

8% profit is 0.864, 20% profit will be

8 = 0.864

20 = ?

cross multiplying

8 * ? = 20 * 0.864

? = 2.16

The new selling price

= cost price + profit

= 9.936 + 2.16

= 12.096 approximately $12.1

Learn more about profit percent here:

https://brainly.com/question/26536051

#SPJ1

Answer:

[tex]3x + 7y \geq 42[/tex]

Step-by-step explanation:

x = amount of naxvips sold

y = amount of corazs sold

We know that she will be charging 3 dollars per naxvips so we write 3x and we know that she will charging 7 dollars per corazs. Thus we add these 2 terms. She expects to make at least 42 dollars, this means will we use a greater or equal to inequality. We do this because she will make AT LEAST 42 dollars which means its possible for her to make GREATER than 42 dollars.

The slope, y-intercept, and x-intercept of the graph of the linear function are 2, 4 and -2 respectively

The general equation of a straight line is:

y = mx + c,

where m is the slope of the line and c is the y-intercept

Given that: the linear function f models a relationship in which the dependent variable decreases 6 units for every 3 units the independent variable decreases. This implies:

slope (m) = (-6)/(-3) = 2

And that the value of the function at 0 is 4. This implies:

y-intercept (c) = 4

Substitute m = 2 and c = 4 into the general equation:

y = mx + c

y = 2x + 4   (This is the linear function)

To plot the graph:

Using y = 2x + 4

find y when x = 0:

y = 2(0) + 4

y = 4

=> x = 0, y = 4

Also, find x when y = 0:

0 = 2x + 4

2x = -4

x = -4/2 = -2

=> x = -2, y = 0

Thus, graph x = 0, y = 4 and x = -2, y = 0 as shown in the image attached

Therefore, the slope, y-intercept, and x-intercept of the graph are 2, 4 and -2 respectively

Learn more about linaer function on:

https://brainly.com/question/15602982

#SPJ1