Answer:
a. Assuming gallons of unleaded regular is denoted by r; and unleaded premium by p.
Revenue from one gallon of unleaded regular is $1.299 and from unleaded premium is $1.379.
Revenue function = 1.299r + 1.379p
b. Cost of one gallon of unleaded regular is $1.219 and for unleaded premium is $1.289.
Cost function = 1.219r + 1.289p
c. Total profit = Revenue - Cost
= 1.299r + 1.379p - 1.219r - 1.289p
= 1.299r - 1.219r + 1.379p - 1.289p
= 0.08p + 0.09p
d. If station sells 100,000 gallons of unleaded regular and 40,000 of unleaded premium;
= (0.08 * 100,000) + (0.09 * 40,000)
= 8,000 + 3,600
= $11,600
help please and maybe explain the answer if you have time
Answer:
I would say that it's A 1/3 because it's the slope and that's what a rate of increase is
What is it will mark Brainliest
please i need help on this question i am not sure what the answer is. help me as soon as possible
Answer:
bail
Step-by-step explanation:
If a second square window has an area of 100 square inches, what is the length of each side?
Answer:
25
Step-by-step explanation:
25, 50, 75, 100
Graph the system of equations y = x+2 and 2y = 2x - 4 and describe it as consistent and independent,
consistent and dependent, or inconsistent.
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Answer:
The coordinates are (-1,4)
Step-by-step explanation:
To get the coordinates, we use the internal division formula
Mathematically, that will be;
(nx1 + mx2)/(m+n) , (ny1 + my2)/(m + n)
In this case;
m = 5
n = 3
(x1,y1) = (-6,9)
(x2,y2) = (2,1)
Substituting these values, we have that;
(3(-6) + 5(2)/(5+3) , (3)(9) + 5(1))/(5 + 3)
= (-18 + 10)/8 , (27+5)/8
= -8/8,32/8
= (-1,4)
what's the answer pls
Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum
(physics question)
The magnitude of two vectors are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]
and the directions are
[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]
What is the magnitude of the vector?The magnitude of a vector can be defined as:
The length of a vector or the distance between the initial point and the endpoint of a vector.
Here given that,
[tex]A=2i+3j+4k\\B=i-2j+3k[/tex]
The magnitude of a vector is the length of the vector.
The magnitude of the vector a is denoted as ∥a∥.
For magnitude,
[tex]|A|=\sqrt{2^2+3^2+4^2}\\\\=\sqrt{4+9+16}\\\\=\sqrt{29\\\\}\\|B|\\=\sqrt{1^2-2^2+3^2}\\\\=\sqrt{1-4+9}\\\\=\sqrt{6}[/tex]
For Direction of sum,
[tex]\frac{A}{|A|}\\\\=\frac{1}{\sqrt29}[2i+3j+4k]\\\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]
For the vector B, the direction of the sum is
[tex]\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]
Hence, the magnitudes are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]
and the direction are
[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]
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Consider the equation an^2 = 182 where a is any number between 2 and 5 and n is a positive interger. What are the possible values of n?
Step-by-step explanation:
an² = 182
When a = 2, n² = 182/2 = 91, n = 9.539...
When a = 5, n² = 182/5 = 36.4, n = 6.033...
Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.
Therefore our possible values of n are 7, 8 and 9.
The possible values of n are 7, 8, 9
The given equation is:
an² = 182
Make n the subject of the formula:
[tex]n^2=\frac{182}{a} \\n = \sqrt{\frac{182}{a}}[/tex]
Let us consider the minimum and maximum values of a:
when a = 2
[tex]n = \sqrt{\frac{182}{2}}\\n = \sqrt{91} \\n = 9.54[/tex]
When a = 5
[tex]n = \sqrt{\frac{182}{5}}\\n = \sqrt{36.4} \\n = 6.03[/tex]
We can conclude that 6.03 < n < 9.54
Since n is an integer, the possible values of n are 7, 8, 9
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El número misterioso: soy múltiplo de 3 y de 4 y estoy comprendido entre 30 y 99. El resto de mi división por 5 es 4. ¿Quién soy?
Answer:
84
Step-by-step explanation:
Let the number be x.
As the number is multiple of 3 and 4, so the number must be a multiple of the lowest common factor (LCM) of 3 and 4.
LCM(3,4)=12
So, the number, x, is a multiple of 12.
All the numbers between 30 and 99, which are multiples of 12 are 36, 48, 60, 72, 84, 96.
When x is divided by 5, the remainder is 4, so the unit digit of the number is 4.
Now, the number between 30 and 99, which is multiple of 12 and having the unit digit 4 is 84.
Hence, the required number is 84.
which expression can be written as 5x(2+7)
Answer:
Step-by-step explanation:
5x(2+7)
10x+35x
45x
There are no choices. But above is the answer if I need to solve it.
what is the meaning of life
Answer:
The meaning of life, or the answer to the question: "What is the meaning of life?", pertains to the significance of living or existence in general. Many other related questions include: "Why are we here?", "What is life all about?", or "What is the purpose of existence?"
Step-by-step explanation:
Answer:
Step-by-step explanation:
The meaning of life, or the answer to the question: "What is the meaning of life?", pertains to the significance of living or existence in general. Many other related questions include: "Why are we here?", "What is life all about?", or "What is the purpose of existence?"
A 0.0375
B 6
C 60
D 600
Can you help pleaseeee!!
Step-by-step explanation:
kfkdkdjdjdjjdjdjdjjdjdndjdjdjjdjdjdjjrjdjdjnd
What is the value of the expression below?
Answer:
-19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
3² + (9 - 16)(4)
Step 2: Evaluate
Exponents: 9 + (9 - 16)(4)(Parenthesis) Subtract: 9 + (-7)(4)Multiply: 9 - 28Subtract: -19Answer:
Step-by-step explanation:
BODMAS=bracket
O=of
D=division
M=multiplication
A=addition
S=subtraction
3*3=9
9+(9-16)(4)
9+(7)(4)
9-28
-19
One less than 6 times a number is the same as the number plus 14.
find the equation
x=
What’s the answer ? Im too tired fa this shi
Answer:
90-39=51 thats a 90° angle
plssssss help 0nly 1-4 i will give brainliest
determine the equation of the line
Answer:
y=5x-12
Step-by-step explanation:
the slope is 5 and y int. is -12
Beth was working at the grocery store, in the quick check-out line. A customer bought cereal for $3.29 and milk for $3.45. The customer paid with $10.00. How much change does Beth need to give the customer?
$3.36
$3.26
$6.74
None of these is correct.
Answer:
3.26
Step-by-step explanation:
first subtract $10.00 bye $3.26 witch equals $6.75
then subtract $6.76 bye $3.45 witch equals $3.26
Mrs. Franklin's kitchen is shaped like a rectangle. She has a scale drawing of her kitchen with dimensions 7 inches and 5 inches.
The scale of the drawing is 1/2 inch = 1 foot.
What is the perimeter of Mrs. Franklin's actual kitchen?
Answer:
48 feet
Step-by-step explanation:
7 inches = 14 feet
There are 14 halves in 7 inches.
5 inches = 10 feet
There are 10 halves in 5 inches
14+14+10+10=48
The perimeter is 48 feet
14. Which graph has an undefined slope?
Given:
Slope is undefined.
To find:
Which graph has an undefined slope?
Solution:
We know that, slope is change in y-values with respect to x-values.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope is undefined if the denominator is 0.
[tex]x_2-x_1=0[/tex]
[tex]x_2=x_1[/tex]
It means, the x-values are same. It is possible only for a vertical line.
Therefore, the slope of vertical lines are undefined or we can say that graph of a vertical line has an undefined slope. It is of the form [tex]x=a[/tex], where, a is a constant and it can be any real number.
Tyson has a collection of 60 sports ribbons. Of these ribbons, 30% are first place ribbons, 45% are second place ribbons, and the rest are third place ribbons. How many third place ribbons are in Tyson’s sports ribbon collection?
15
27
32
18
give me a serious answer or I will report you and your account will be deleted
A teacher buys 5 pizzas. Each slice is 1/8 of a pizza. How many slices are there in total?
1/40 slice
4 slices
20 slices
40 slices
Answer:
40 slices
Step-by-step explanation:
Each slice = 1/8 pizza
Pizza = 8 slices
5 pizza = 5 x 8 slices
5 pizza = 40 slices
The total number of slices in 5 pizzas if each slice is 1/8 of a pizza is 40 slices
Solving equationTotal pizza bought = 5Each slice = 1/8Total slices of pizza = Total pizza bought ÷ Each slice
= 5 ÷ 1/8
= 5 × 8/1
= 40 slices
Therefore, the total number of slices in 5 pizzas if each slice is 1/8 of a pizza is 40 slices
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Which of the following expressions is equivalent to the expression given below.
12 (-31 + 26) + 45
—————————
4
3.5
-3.75
4.2
-4.5
Answer:
wuhh
Step-by-step explanation:
Was I correct? I was having a bit of trouble on C and D :(
Answer:
You got A and D is right but C and B is switched
Step-by-step explanation:
The main thing is to first look at the y-intercept, C and B have different y-intercepts than the equation u gave them. So keep an eye out for that.
Simplify completely.
A. 4
B.
1
C.
4
D. 4
Answer:
1. 1/4
2. 2/4
3. 2/4
4. 4/1
Step-by-step explanation:
You order the
hardcover book shown from a website that offers free
shipping on orders of $25 or more. Write and solve an
inequality that represents how much more you must
spend to get free shipping.
Price: $19.79
Answer:
19.79+x >= 25
x>=5.21
Step-by-step explanation:
express the scientific notation:4830000000 with all formula
Pleaseeeeeeee!!!!!!!
Answer:
The answer is C
Step-by-step explanation:
2x10=20
2+10=12
20-12=8
10 is 8 more than 2
Given the equation: y=2x-5 , is your y-intercept below or
above the x-axis?
Answer:
Below
Step-by-step explanation:
The equation for slopes are y=mx+b. m = slope, and b = y-intercept.
Since b is negative the y-intercept will be below the x-axis.