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
Question Three
What is the value of in the figure?
61
4 Ft
(5x)
(10x - 10)
6 ft
A
2
B
6.4
С
8
D 9.5
Select the correct answer.
What is the simplest form of the ratio 40:16?
ОА.
20:8
OB.
10:4
OC.
5:4
OD
5:2
OE.
10:8
Answer:
D: 5:2
Step-by-step explanation:
40:16 simplified is 5:2
The simplest form of the ratio 40:16 is 5:2.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
To find the simplest form of the ratio 40:16, we can divide both terms by their greatest common factor (GCF).
First, let's find the GCF of 40 and 16.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
The factors of 16 are 1, 2, 4, 8, and 16.
The largest number that appears in both lists is 8.
Therefore, the GCF of 40 and 16 is 8.
To simplify the ratio, we divide both terms by 8:
40 ÷ 8 = 5
16 ÷ 8 = 2
Thus,
The simplest form of the ratio 40:16 is 5:2.
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What is the measure of the missing side?
Dolly and Willie's scores are shown. Dolly claims that she is the better student, but Willie
claims that he is the better student. What statistics make either Dolly or Willie seem like
the better student? Drag and drop the correct word into each box to complete the
explanation.
Answer:
I have attached a picture below. I hope this helps!
An item cost 460 before tax and the sales tax is 32.20 find the sales tax rate write your answer as a percentage
Answer:
7%
Step-by-step explanation:
mark walked 21,129 feet in one hour. at that speed, how many miles will he walk in 2 hours
Answer: 23.129
Step-by-step explanation:
Which of the following would earn the same amount of interest as a $600 principal with 2.5%
interest for 6 years?
Answer:$225 at 10% for 4 years and $80 at 75% for 18 months
Step-by-step explanation:
The required interest earned is given as $90, as of the given condition.
Given that,
Principal = $600
Rate = 2.5% and time = 6 years
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
Here,
Simple interest = principal × rate × time /100
Simple interest = 600× 2.5× 6 /100
Simple interest = 90
Thus, the required interest earned is given as $90, as of the given condition.
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Which spacecraft tested the soil of Mars for signs of life?
Answer:
Viking landers
To date, the Viking landers (1976) were the only spacecraft to conduct experiments looking for life in the Martian soil.
Step-by-step explanation:
brainly?
Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevation from the point on the ground where Johnny is standing is 70 degrees to the top of Building A and 52 degrees to the top of Building B. How far apart are the two buildings
Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart
What value of x makes this equation true? 12x - 15 = 6 - 3x
Answer:
12x - 15 = 6 -3x (add 3x to both sides)
15x - 15 =6 (add 15 to both sides)
15x= 21 (divide both sides by 15 to get x alone)
x= 1.4 (the answer)
Answer:
1.4
Step-by-step explanation:
21/35 as a decimal rounded to the nearest tenth
A line passes through the points (-8,-4) and has a slope of 5/4.
The diagram below represents the shape of the floor of a hotel lobby. The hotel plans on replacing the carpet in the lobby
12
1
1 14 11
1
1
1121
13 ft
! 11 ft
31 tt
Part A: What is the total area of the hotel lobby floor?
ft?
Part B: If the new carpet costs $1.75 per square foot, how much with the hotel spend on new carpet?
Answer:.
Step-by-step explanation:
Mrs Jonas has 35 students in her math class. If her class increases to 42 students next year what will be the percent of change?
A) 335
B) 93%
C) 75%
D) 20%
Answer:
D. because I did it
Step-by-step explanation:
got it right.
Answer:
20%
Step-by-step explanation:
well if the class would increase 35+35 it would be 50 % so its supposed to be a smaller percentage
A track team has 25 runners. There are 18 boys on the team. What percent of the track team are girls? *
Answer:
28%
Step-by-step explanation:
Given that,
The total no of runners = 25
No. of boys in the team = 18
We need to find the percent of the track team are girls.
Total no of girls = 25-18 = 7
Percent of girls :
[tex]g=\dfrac{\text{No. of girls}}{\text{Total runners}}\times 100\\\\=\dfrac{7}{25}\times 100\\\\=28\%[/tex]
Hence, there are 28% of girls.
ana runs a merchandiser store. she wants to buy 500 notebooks for her store. she will get 300 notebooks for $2500. the next 200 notebooks are for $4 per notebook. if the total cost for notebook is $3300 and 12%discount is given then the total cost for notebooks is
A. $2,560
B. $2,904
C. $2,850
D. $2,890
Is this graph a function? why or why not.
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Need help with 20-23 please. geometry
Answer:
20) 5X3=15 15h
21) 12X15=18 180
22) IDEK
23) IDEK
Step-by-step explanation:
find the slope of the line through each pair of points. (9, 16) , (14, -12)
Answer:
slope = - [tex]\frac{28}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 16) and (x₂, y₂ ) = (14, - 12)
m = [tex]\frac{-12-16}{14-9}[/tex] = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]
Graph the funtion f(x) = [tex]\sqrt[3]{x - 2}[/tex].
(I added a picture just in case you can't read the equation)
Struggling a lot could use a friend right about now thank you
This process is very simple. All you are doing is creating a table of values somewhere to help you graph this function. As you can see, the coordinates of [tex]\displaystyle [-6, -2], [1, -1], [2, 0], [3, 1],[/tex] and [tex][10, 2][/tex] are all touched on this graph, letting you know that this information is accurate.
I am joyous to assist you at any time. ☺️
Find the missing quantity in the double number line.
The missing quantity is 100 books in the double number line.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".
Let the missing quantity be x in the double number line.
According to the given condition, we can write the proportion would be as:
40 books : 2 boxes = x books : 5 boxes
⇒ 40 / 2 = x / 5
Apply the cross-multiplication operation,
⇒ 40 × 5 = 2x
⇒ 2x = 200
⇒ x = 200/2
⇒ x = 100
Therefore, the missing quantity is 100 books in the double number line.
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Erica can paint her room 5 hours .If she had her friend Rachel help her , they can paint the room together in 3 hours .How long would it take for Rachel to paint the room alone , if Erica wanted to go play tennis for the afternoon ?
Answer:
7 hours 30min
Step-by-step explanation:
Step one :
Given data
We are told that Erica can paint 1 room in 5hours
Her work rate is 1/5 room per hour
And also with the assistance of her friend they can paint 1 room in 3 hours
Hence their combined work rate is 1/3 room per hour
Step two
The combined work expression is
1/A+1/B=1/T
Where A=Erica's work rate
B=Rachael's work rate
T=combined work
1/5+1/B=1/3
1/B=1/3-1/5
1/B=5-3/15
1/B=2/15
B=15/2
B=7.5 hours
It will take Rachel 7 hours 30min to paint the room
help plz bc idk what to do
Answer:
A.) k=0.5
Step-by-step explanation:
If we use the formula given: y=kx, we can plug in values.
0.5=k(1)
0.5=(0.5)(1)
0.5=0.5
We know that to get from 1 to 0.5, we need to divide by two, or multiple by 1/2. 1/2 in decimal form is 0.5
What is the value of f(-1)?
O f(-1) = -3
Of(-1) = -1
O f(- 1) = 0
Of(-1) = 6
Answer: C: f(-1)=0
Step-by-step explanation:
To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.
Simplify the expression below using laws of exponents.
Answer: 36/[tex]K^{2}[/tex]
Step-by-step explanation:
The k on top will cancel the k to the second power.
So the only number in the numerator is 1.
Then the 1 qill go away because you cant divide anything by 1.
The expoenet -2 that was at the top near K will become positive.
Then distribute
Xander is planning on building a house. The blueprints show a house that is 3 inches wide and 2 inches tall. The blueprints use a scale in which 14 inch represents 2 feet.
How wide and tall will the actual house be?
Drag and drop the height and width of the actual house into the boxes.
Answer:
16ft tall and 24ft wide
Step-by-step explanation:
Answer:
16ft 24ft
Step-by-step explanation:
i got the same qestion and its correct.
please help i have been stuck on this for so long :(
Answer:
Angle 1
Step-by-step explanation:
Angle 1 is the only marked angle that is an obtuse angle (larger than 90 degrees, but less than 180).
Also, the angle marked as 28 degrees and angle one are supplementary, meaning that they add up to equal 180. 180-152=28
Answer:
angle 1
Step-by-step explanation:
start fraction 5.2 over 3.5 end fraction equals start fraction y over 7.5 end fraction
A. 7.25
B. 11.14
C. 5.05
D. 2.43
Answer:
A
jk its D hope this helps
PLEAZE HELP MS OUT I DONT UNDERSTAND
Answer:
cant see the pic
Step-by-step explanation:
Answer:
C.) SAS
Step-by-step explanation:
When the marks on a triangle are the same as another, they have a congruent measure.
In the given triangles, the red line and arch on both mean they have a congruent side and angle.
Since they share a side, that side is congruent for both.
So now we have a congruent side, angle, and side. This is the SAS theorem,
Find the lateral area of this cone.
Round to the nearest tenth.
Hint: Lateral Area of a Cone = url
Where l = slant height
15in
12in
[?] in2
Answer:
565.5 in²
Step-by-step explanation:
Lateral area of a cone is represented by,
Lateral surface area = πrl
Here 'r' = Radius of the circular base
l = lateral height of the cone
By this formula,
Lateral area = π(12)(15)
= 565.49
≈ 565.5 square inch
Therefore, 565.5 in² is the answer.