Answer:
The answer is $64.
Step-by-step explanation:
An item regularly priced at $80 is on sale for 20% off.
This amount becomes:
dollars
So, price after discount is 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.
-5.97, 600, 205, 456.98, -45.9
Answer:
-45.9 , -5.97 , 205 , 456.98 , 600
Pls send help
Answer:
x>3
Step-by-step explanation:
you divide both sides by 2 then you get three. The sign remains the same.
The statements (B) and (D) are "true" about the graph of ordered pair (5, −1).
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.
Learn more about graphs here:
#SPJ2
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 is 4.
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 =
x = 4
To learn more about product, refer;
#SPJ2
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:
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 $m + n = 233 + 9 = 242$.
Learn more about Sum of squares of distances here:
#SPJ2
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:
And since 60% of the calories should come from carbohydrates and fats (which is 2280 calories)
And
Thus we have three equations:
(1).
(2).
(3).
We put equation (2) into equation (1) and solve for :
Now we put this value of into equation (3) and get:
Now from this equation we solve for c and get:
And put this value of into equation (2) and solve for:
Thus the diet will include 240 grams of fat.
Answer: It's actually 210 g
(Excuse my answer, I made a math error)