An item regularly priced at $80 is on sale for 20% off. There is a 3% sales tax. What is the sale price before sales tax?

Answers

Answer 1
Answer:

Answer:

The answer is $64.

Step-by-step explanation:

An item regularly priced at $80 is on sale for 20% off.

This amount becomes:

0.20*80=16 dollars

So, price after discount is 80-16=64 dollars

Given is that there is a 3% sales tax.

So, sales tax must have been applied to $64 before final bill.

And we have to tell the sale price before tax, so the answer is $64.

Therefore, the answer is $64.

Answer 2
Answer: the sale price before the sale tax is $ 60 and the sales taxes will be $ 180

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Explain how you would go about graphing this equation? What would be your first step and how would you go from there? Y=4x+6 *
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Complete the following question:Order these numbers in ascending order.

-5.97, 600, 205, 456.98, -45.9

Answers

Answer:

-45.9 , -5.97 , 205 , 456.98 , 600

Which of the following can be a solution to the inequality below?2x > 6.
Pls send help

Answers

Answer:

x>3

Step-by-step explanation:

you divide both sides by 2 then you get three. The sign remains the same.

Select all statements that are true about the graph of ordered pair (5, −1) . The point is 5 units below the x-axis. The point is 1 unit below the x-axis. The point is 1 unit to the left of the y-axis. The point is in the fourth quadrant. The point is on the x-axis.

Answers

The statements (B) and (D) are "true" about the graph of ordered pair (5, −1).

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The graph of the ordered pair (5, -1). The point (5, -1) is located 5 units to the right of the y-axis and 1 unit below the x-axis.

So statement A is false. It is not 5 units below the x-axis.

So, statement B is true.

The fourth quadrant is the region where x > 0 and y < 0, so it lies in the fourth quadrant.

Thus, statements (B) and (D) are "true" about the given graph.

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Answer:

The point is below the x-axis and The point is in the fourth quadrant.

Step-by-step explanation:

the product of 8 and a number x is equal to 32. write an algebraic expression, an equation, or an inequality

Answers

The product of 8 and a number x is equal to 32 is 4.

What is product?

A product is the result of multiplication or an expression that identifies the objects (numbers or variables) to be multiplied, called factors.

The order of multiplication of real or complex numbers does not affect the product. this is called the commutative law of multiplication. When multiplying matrices or terms of several other associative algebras, the product usually depends on the order of the factors. For example, matrix multiplication is noncommutative, as is multiplication in other algebras in general.

Given:

so the  product of the two numbers (8 and x) IS equal to 32,

8x=32

x = (32)/(8)

x = 4

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The product means multiply, so the PRODUCT of the two numbers (8 and x) IS equal to 32, so...
8x=32
(-Divide 8 on both sides to isolate the variable)
x=4
(Your result is x=4) :-)

Let $A = (5,12)$, $B = (0,0)$, and $C = (14,0)$. For a point $P$ in the plane, the minimum value of $PA^2 + PB^2 + PC^2$ can be expressed in the form $m/n$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.

Answers

Answer:

45

Step-by-step explanation:

do it

To find the minimum value of the sum of the squares of distances, we can use calculus. The minimum value can be expressed as $233/9$.

To find the minimum value of $PA^2 + PB^2 + PC^2$, we need to find the point $P$ that minimizes the sum of the squares of the distances from $P$ to $A$, $B$, and $C$. Let's denote the coordinates of $P$ as $(x, y)$. Using the distance formula, we can find the expressions for the squares of the distances:




  1.  
  2. $PA^2 = (x - 5)^2 + (y - 12)^2$

  3.  
  4. $PB^2 = x^2 + y^2$

  5.  
  6. $PC^2 = (x - 14)^2 + y^2$



The sum of these expressions is $PA^2 + PB^2 + PC^2$:



$PA^2 + PB^2 + PC^2 = (x - 5)^2 + (y - 12)^2 + x^2 + y^2 + (x - 14)^2 + y^2$



Simplifying the expression:



$PA^2 + PB^2 + PC^2 = 3x^2 + 3y^2 - 38x - 24y + 365$



To find the minimum value, we can use calculus. Taking the partial derivatives of this expression with respect to $x$ and $y$ and setting them to zero, we can find the critical points. The coordinates of the point $P$ that minimizes the sum of the squares of the distances are $(x, y) = (13/3, 8/3)$. Plugging these values into the expression, we get:



$PA^2 + PB^2 + PC^2 = (13/3)^2 + (8/3)^2 = 233/9$



Therefore, the minimum value can be expressed as $233/9$, and $m + n = 233 + 9 = 242$.

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A nutritionist planning a diet for a runner wants him to consume 3,800 Calories and 650 grams of food daily. Calories from carbohydrates and fat will be 60% of the total Calories. There are 4, 4, and 9 Calories per gram for protein, carbohydrates, and fat, respectively. How many daily grams of fat will the diet include?

Answers

Answer:

240 grams of fat.

Step-by-step explanation:

let

c = grams of carbohydrates

p =grams of proteins

f = grams of fat.

Then from the information given:

4c+4p+9f=3800\:calories.

And since 60% of the calories should come from carbohydrates and fats (which is 2280 calories)

4c+9f =2280\:calories

And

c+p+f=650g.

Thus we have three equations:

(1).4c+4p+9f=3800\:calories.

(2).4c+9f =2280\:calories

(3).c+p+f=650g.

We put equation (2) into equation (1) and solve for p:

2280+4p=3800

\therefore \boxed{p =380\:grams}

Now we put this value of p into equation (3) and get:

c+f=270\:grams.

Now from this equation we solve for c and get:

c=270-f.

And put this value of c into equation (2) and solve forf:

4(270-f)+9f=2280.\n\n\therefore \boxed{f= 240 grams}

Thus the diet will include 240 grams of fat.

Answer: It's actually 210 g

(Excuse my answer, I made a math error)