You have a meal at a restaurant. The sales tax is 8%. You leave a tip for the waitress that is 20% of the pretax price. You spend a total of $23.04. What is the pretax price of the meal?

Answer:

f(x)=x-5 , (x = 8)

f(x)= 8-5

f(x) = 3

Answer: The correct option is the second one, counting from the top.

Step-by-step explanation:

For a rectangle of length L, and width W, the area can be calculated as:

A = L*W

In this case, we know that:

[tex]L = \sqrt{x}[/tex]

and

[tex]W = \sqrt[3]{x^2}[/tex]

First, we need to remember the relations;

[tex]\sqrt[n]{x^m} = x^{m/n}[/tex]

[tex]x^m*x^n = x^{m + n}[/tex]

[tex]\frac{x^n}{x^m} = x^{n - m}[/tex]

a) Now we can calculate the area of the rectangle as:

[tex]A = L*W = \sqrt{x} *\sqrt[3]{x^2} = (x^{1/2})*(x^{2/3}) = x^{1/2 + 2/3} = x^{3/6 + 4/6} = x^{1/6 + 1}[/tex]

And we can write that last part as:

[tex]x^{1/6 + 1} = x*x^{1/6} = x*\sqrt[6]{x}[/tex]

b) Now we want to find the ratio between the width and the length:

[tex]\frac{W}{L} = \frac{\sqrt[3]{x^2} }{\sqrt{x} } = \frac{x^{2/3}}{x^{1/2}} = x^{2/3 - 1/2} = x^{4/6 - 3/6} = x^{1/6} = \sqrt[6]{x}[/tex]

Now, if x = 1, the ratio will be equal to 1.

if x > 1, the ratio will be larger than 1.

if  0 < x < 1, the ratio will be smaller than 1.

The correct option is the second one, counting from the top.

Answer:

The new height of the water will:

[tex]H_{new}=22.89 cm[/tex]

Step-by-step explanation:

The submerged volume due to an object in a liquid, water in our case, is equal to the displaced volume of the water, it is the Archimedes principle.

The volume of a golf ball (sphere) will be

[tex]V_{ball}=\frac{4}{3}\pi r^{3}=\frac{4}{3}\pi 2.2^{3}[/tex]  

[tex]V_{ball}=44.6 cm^{3}[/tex]  

We have 5 golf balls, so the total volume will be:

[tex]V_{5-ball}=5*44.6 cm^{3}=223\: cm^{3}[/tex]  

Using Archimedes' principle the extra volume of water will be 223 cm³  

Now, we know that the cylinder has a radius of 3 cm, then the height related to 223 cm³ will be:

[tex]223=\pi r^{2}h[/tex]

[tex]223=\pi 3^{2}h[/tex]

[tex]h=7.89\: cm[/tex]

Therefore, the new height of the water will:

[tex]H_{new}=15+7.89=22.89 cm[/tex]

I hope it helps you!

Answer:

The value of sin is : 12/13

Step-by-step explanation:

The formula for cosine of an angle is the length adjacent to that angle divided by the hypotenuse.

This means if ;

cos∅ = A/H  

then using this information and given that;

cos ∅ = 5 by 13

cos ∅ = 5/13

You can find the opposite side length from Pythagorean relationship as;

13²-5²=b²

144 = b²

√144 = b

12 = b

Opposite side length = 12

Sin ∅ = opposite side length / hypotenuse

Sin ∅ = 12/13

Answer:

87

Step-by-step explanation:

Answer:

$87 were used on beverages

Step-by-step explanation:

Answer:

tim worked 7 hours

Step-by-step explanation:

givr branliest pls

Answer:

7 hours.

Step-by-step explanation:

subtract 9.00 from 63.00 till there is 0.00

Answer:

The Answer Would Be 4 Participants Will Be able to eat 5 pies in 20 minutes

Step-by-step explanation:

You Would Divide 20 With 4

Given:

Selling price of a fan = Rs.4700

Loss percent = 6%

To find:

The price at which he must sell it to gain 6 percentage.

Solution:

Let x be the cost price of the fan.

Loss percent = 6%

Selling price = Cost price - 6% of cost price

[tex]S.P.=x-\dfrac{6}{100}x[/tex]

[tex]S.P.=x-0.06x[/tex]

[tex]S.P.=0.94x[/tex]

Selling price of a fan = Rs.4700

[tex]4700=0.94x[/tex]

[tex]\dfrac{4700}{0.94}=x[/tex]

[tex]5000=x[/tex]

So, the cost price of the fan is Rs.5000.

Now, he need to sell this fan in 6% gain.

Selling price = Cost price + 6% of cost price

[tex]S.P.=5000+\dfrac{6}{100}\times 5000[/tex]

[tex]S.P.=5000+300[/tex]

[tex]S.P.=5300[/tex]

Therefore, he must sell it for Rs.5300 to gain 6 percentage.

Answer:

x = 24

y = 8√3

Step-by-step explanation:

This is a special right triangle with angle measures 30° 60° 90°

The side length that sees 90° is represented by 2a, the side length that sees angle 60° is represented by a√3 , and the side length that sees angle 30° is represented by a

16√3 ÷ 2 = 8√3 this is the value of y

8√3 × √3 = 24 this is the value of x

Answer:

B. [3,5]

Step-by-step explanation:

You had it right.

Answer:62% increase

Step-by-step explanation:

old price of cereal box = 18.5 ounces

New price of cereal box =30 ounces

Percent change = (New Price - old price / Old price ) x 100

30 - 18.5 / 18.5 x 100

11.5/18.5 x100

0.621 x100

= 62% increase

Answer: 175

Step-by-step explanation:

Answer:

-16x + 40

Step-by-step explanation:

Answer:

I need Help on this one too.

Step-by-step explanation:

please help

Answer: Its b

Step-by-step explanation:

Answer: Do you have a picture that goes with this, because this could be a matter of things you are talking about, haha. Thanks

Answer:

All you need to do is balance the equation.

x = -1

Step-by-step explanation:

Answer:

The 90 oz bottle of Tide is the better buy because it has a lower price per oz.

Step-by-step explanation:

To find the bottle of Tide that is a better buy, you have to divide each price for the number of ounces they have and determine the one that has the lower price per ounce.

$3.99/25= $0.15

$6.99/90= $0.07

According to this, the answer is that the 90 oz bottle of Tide is the better buy because it has a lower price per oz.

Answer: 32%

Step-by-step explanation:

From the question, we are informed that out of 150 students at JHS 190, 48 had Calamari for lunch.

The percent that had Calamari for lunch would be calculated as:

= Number of students that had Calamari / Total students at JHS 190 × 100

= 48/150 × 100

= 32%

Step-by-step explanation:

what r the answer choses??

A linear plot is used to represent straight line equations. From the plot, we have the following:

From the plot (see attachment), we have the following coordinate points

[tex](x_1,y_1) = (1,1)[/tex]

[tex](x_2,y_2) = (2,-1)[/tex]

The slope (m) is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{-1-1}{2-1}[/tex]

[tex]m = \frac{-2}{1}[/tex]

[tex]m = -2[/tex]

The intercept (b) is the point where the line crosses the y-axis.

From the attached plot, the graph crosses the y-axis at [tex]y = 3[/tex]

This means that:

[tex]b = 3[/tex]

So, the equation [tex]y = mx + b[/tex] is:

[tex]y = -2x + 3[/tex]

The value of y when [tex]x = -3.5[/tex] is:

[tex]y = -2\times -3.5 + 3[/tex]

[tex]y = 7 + 3[/tex]

[tex]y = 10[/tex]

Hence:

Read more about linear functions at:

https://brainly.com/question/2263981

Answer:

then the height is probably 3 or 7, and the length as the other

Step-by-step explanation:

Answer:4.75x + 7.50X(2)=750

Step-by-step explanation:

Answer:

The inverse function is C (H) = H+10.53/2.15. The approximate head circumference of a child who is 26 inches tall is 16.99 inches.

Step-by-step explanation:

Using the inverse function, the head circumference of a child who is 26 inches tall is;

16.99 inches

We are given the function;

H(C) = 2.15C - 10.53

Where;

H s height of the child

C is head circumference of a child the

C(H) = (H + 10.53)/2.15

At H = 26 inches, we have;

C(26) = (26 + 10.53)/2.15

C(26) = 16.99 inches

Read more about inverse function at; https://brainly.com/question/9289171

Step-by-step explanation:

1quart=2pints

16quarts=32pints

Answer:

64 cups

Step-by-step explanation:

Answer:

6qt + 1p

Step-by-step explanation:

In a question like this, one can only combine like terms, in other words, the coefficients of the same variables. A coefficient is the number that is in front of a variable or the number a variable is being multiplied by.

The equation is;

4qt + 2qt + 1pt

4qt and 2qt are like terms, hence one can combine them.

The result is;

6qt + 1pt

Answer:

$25260

Step-by-step explanation:

12 months in a year

2105 × 12 = 25,260

Answer:

The answer is OX=72

Step-by-step explanation

Took the quiz and got it right :)