at a local gas station, regular gasoline sells for $2.899 per gallon, while premium gasoline sells for $3.379 per gallon. how much does a person save on 15.25 gallons of gas by buying regular instead of premium?
Answers
Regular Gasoline:
2.899•15.25
44.20975
Premium Gasoline:
3.379•15.25
51.52975
Let’s subtract regular from premium to see how much you would save.
51.52975-44.20975
7.31975
So you would save $7.31975 when buying regular gas instead of premium.
Related Questions
how is adding and subtracting decimals similar to and different from adding and subtracting whole number
Answers
There isn't any real difference in adding and subtracting decimals from whole numbers but there is just a decimal point in front of the number to make it a decimal.
For example, 2 is a whole number but adding a .0 will make it 2,0 which makes it a decimal.
Given that the points (-3, 2) and (1, 2) form one leg of a right triangle, which point could be another vertex of the triangle?
A) (7, 2)
B) (-1, 4)
C) (-3, -2)
D) (-1, -2)
Answers
usatestprep.com
The possible vertices of the right triangle are (-3, -2) and (-1, -2).
Option C and D are the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The points (-3, 2) and (1, 2) have the same y-coordinate, which means that they lie on a horizontal line.
The distance between these two points is 4 units, which is the length of the leg of the right triangle that they form.
The only way to form a right triangle using these points is to choose a third point on a vertical line passing through one of these two points.
Option B)
(-1, 4) does not lie on a vertical line passing through either of the given points.
Option C)
(-3, -2) lies on a vertical line passing through the point (-3, 2), so it could be a vertex of the right triangle.
Option D)
(-1, -2) lies on a vertical line passing through the point (1, 2), so it could be a vertex of the right triangle.
Therefore,
The possible vertices of the right triangle are (-3, -2) and (-1, -2).
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The figure shows two parallel lines AB and DE cut by the transversals AE and BD:
AB and DE are parallel lines, and AE and BD are transversals. The transversals intersect at C. Angle CAB is labeled 1, angle ABC is labeled 2, angle ACB is labeled 3, angle ACE is labeled 4, angle CDE is labeled 6, and angle CED is labeled 5.
Which statement best explains the relationship between Triangle ABC and Triangle EDC ?
Triangle ABC is similar to triangle EDC , because m∠2 = m∠6 and m∠1 = m∠5
Triangle ABC is similar to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4
Triangle ABC is congruent to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5
Triangle ABC is congruent to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4
Answers
9514 1404 393
Answer:
Triangle ABC is similar to triangle EDC , because m∠2 = m∠6 and m∠1 = m∠5
Step-by-step explanation:
Nothing indicates any triangle sides are congruent, a necessary condition for the triangles to be congruent.
In triangles ABC and EDC, angles 1 and 5 are corresponding. They are "alternate interior angles" with respect to the transversal AE, so are congruent. Angles 2 and 6 are congruent for a similar reason. The vertical angles at C are congruent, so the triangles are similar.
Triangle ABC is similar to triangle EDC , because m∠2 = m∠6 and m∠1 = m∠5.
Which expression is equivalent to log w (x2-6)4
Answers
Using log a b = log a + log b, with a=w and b=(x^-6)^4:
log w (x^2-6)^4 = log w + log (x^2-6)^4
Using in the second term log a^b = b log a, with a=x^2-6 and b=4
log w (x^2-6)^4 = log w + log (x^2-6)^4 = log w + 4 log (x^2-6)
Then, the answer is:
log w (x^2-6)^4 = log w + 4 log (x^2-6)
type the correct answer in the box.use numeral instead of words. if necessary, use / for the fraction bar.
Answers
Since the total degrees of a triangle's angles should add up to 180°, let's add the given angles and then subtract that from 180.
83 + 34 = 117°
180 - 117 = 63°
So, the angle BCD is 63°.
Hope that helped!
find the solution x = 3 + y 21x + 8y = -24
Answers
x = 0
y = -3
Explanation:
The first given equation is:
x = 3 + y ............> I
The second given equation is:
21x + 8y = -24 ...........> II
Substitute with I in II and solve for y as follows:
21x + 8y = -24
21(3+y) + 8y = -24
63 + 21y + 8y = -24
29y = -24 - 63
29y = -87
y = -3
Substitute with y in equation I to get x as follows:
x = 3 + y
x = 3 + (-3)
x = 3 - 3
x = 0
Hope this helps :)
Three consecutive even integers add to −6. What are these integers?
Answers
Let's consider the smallest even integer = x.
then second even integer = (x + 2).
and third even integer = (x + 4).
So three consecutive even integers would be x, (x + 2), and (x + 4).
The sum of these numbers is -6. Its equation would be as follows :-
x + (x + 2) + (x + 4) = -6
3x + 6 = -6
3x = -6 - 6
3x = -12
x = -4
So first number = x = -4
second number = (x + 2) = -2
third number = (x + 4) = 0
Hence, three consecutive even integers are -4, -2, and 0
Answer:
-4, -2, and 0
Step-by-step explanation:
I'll give brainliest to whoever shows there work to the answer. Plz answer quickly.
Which point best approximates the square root of 3?
A
B
C
D
Answers
Is c the correct answer
Answers
1. C
2. C.
3. B
You have all the right answers!
How many times greater is the value of 5 in 3,590 than the value of 5 in 359 ?
Answers
Answer:
10 times greater is the value of 5 in 3,590 than the value of 5 in 359.
Step-by-step explanation:
To find : How many times greater is the value of 5 in 3,590 than the value of 5 in 359 ?
Solution :
The place value stem is
Thousand Hundred Tens Ones
1000 100 10 1
The value of 5 in 3,590 is at hundred place
So, [tex]5\times 100=500[/tex]
The value of 5 in 359 is at tens place
So, [tex]5\times 10=50[/tex]
Number of time greater is the value of 5 in 3,590 than the value of 5 in 359 is given by,
[tex]n=\frac{500}{50}[/tex]
[tex]n=10[/tex]
Therefore, 10 times greater is the value of 5 in 3,590 than the value of 5 in 359.
Final answer:
The value of 5 in 3,590 is 10 times greater than the value of 5 in 359 because the 5 in 3,590 represents 500 while in 359 it represents 50.
Explanation:
The question asks how many times greater the value of 5 in 3,590 is compared to the value of 5 in 359. In the number 3,590, the 5 is in the hundred's place, meaning it has a value of 500 (5 x [tex]10^2[/tex]). In the number 359, the 5 is in the ten's place, meaning it has a value of 50 (5 x [tex]10^1[/tex]). To find out how many times greater one value is than the other, we divide the larger by the smaller
So, 500 divided by 50 equals 10. This means the value of 5 in 3,590 is 10 times greater than the value of 5 in 359.
Maggie wants to buy 4 roses, 6 carnations, and 9 tulips. She estimates that she will spend about 14 dollars on these flowers. Do you agree?
Answers
Hope this helps!
Sophie bikes at a speed of s miles per hour. Her friend Rana is slower, her biking speed is only r miles per hour.
Rana's yesterday's trip was m miles long. How long did Rana bike yesterday?
Answers
Rana's time = m/r . . . . hours
REALLY NEED HELP ANYONE?
If f(x) = 4^x then which of the following is the value of f (-2)?
Answers
When x = -2
[tex]f(-2) = 4^{-2}[/tex]
[tex]f(-2) = 4^{-2} = \dfrac{1}{16} [/tex]
Oz= 1 c please help with this question
Answers
hope this helped :)
alisa202
find the value of A E B C and D please
Answers
Since all of the other lines are parallel to one another, there are only two different angle combinations to be made by the transversal and one of the other lines, one of which being the given 60º angle.
The other one is found by subtracting that from 180 since a straight angle measures 180º.
180 - 60 = 120
The smaller ones are always 60º, and the larger ones are always 120º.
That means that a = 60, b = 60, and d = 60
It also means that c = 120 and e = 120.
Hope this helps!
A rectangular prism measures 2 2/5 inches by 3 1/5 inches by 2 inch. Priya said, it takes more cubes with edge length 2/5 inch cubes than cubes with edge length 1/5 to pack the prism. Do you agree?
Answers
Cubes with the edge length of 2/5 have a volume of 0.064 while 1/5 edge length had a volume of 0.008 it will take 8 times more cubes to fill it with the 1/5 edge length squares than the 2/5 edge length squares.
No, she is not correct.
The volume of cubes with side 2/5 inches is : [tex](\frac{2}{5}) ^{3}[/tex] = 8/125 [tex]in^{3}[/tex]
and the volume of cubes with side 1/5 inches is : [tex](\frac{1}{5} )^{3}[/tex] = 1/125 [tex]in^{3}[/tex]
The cubes with sides 1/5 inches have 8 times lesser volume than that of the cubes with sides 2/5 inches.
So, to fill up the same volume, we would require 8 times more cubes of side 1/5 inches than cubes of side 2/5 inches.
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The measure of angle KMN = ?? degrees
Answers
= 95°/2
= 47.5°
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
What is the slope of the function representing the weekly paycheck amount for Salesman A? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman B? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman C? Use complete sentences to explain your reasoning, or show your calculations.
Answers
He earns $65 per sale, with a maximum weekly commission of $1,300.
=> p(s) = 65s / p ≤ $1,300. This is the paycheck (p) equal 65 times the number of sales s, with an upper bound of $1,300.
The slope of the function is the coefficient of the the indepent variable s, this is 65.
The slope is the rate of change on the paycheck per unit of sales done (s).
Answer: slope 65.
2) Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale.
p(s) = $300 + 40s
The slope is 40 (the coefficient of the independent variable).
Again, the slope is the increase in the paycheck per unit of sale (s) performed.
Answer: slope = 40
3) Salesman C does not earn any commission. His weekly salary is $900.
p(s) = $900
It turns out that really the paycheck of this salesman is not a function of the number of sales. His/her paycheck is constant. That means that the paycheck does not change with the number of sales, and so the slope is 0.
The function is a horizontal line (slope 0).
Answer: slope 0
Final answer:
Slope of function for Salesman A: 65
Slope of function for Salesman B: 40
Slope of function for Salesman C: 0
Explanation:
Slope of function for Salesman A: The slope of the function representing Salesman A's weekly paycheck is $65 per sale, as he earns $65 per sale. Since the commission is a constant rate per sale, the slope remains constant.
Slope of function for Salesman B: The slope of the function representing Salesman B's weekly paycheck is $40 per sale. This is because he earns $40 per sale, which makes the slope $40.
Slope of function for Salesman C: The slope of the function representing Salesman C's weekly paycheck is 0. Salesman C does not earn any commission, so his weekly salary remains constant at $900, regardless of the number of sales made.
Helpppp!!!!Im not sure what this is, isn’t the square root of 144 a rational number and the square root of 34 a rational number, too?
Answers
1. Suzette ran and biked for a total of 34 mi in 3.5 h. Her average running speed was 6 mph and her average biking speed was 12.5 mph. How many hours did suzette run
Answers
Final answer:
To find out how many hours Suzette ran, we used a system of equations with the total distance and total time for running and biking. Solving the system, we determined that Suzette ran for 1.5 hours.
Explanation:
To determine how many hours Suzette ran, we can use the total distance and the total time given for running and biking activities, alongside her average speeds for each activity. We will then set up a system of equations that account for the distances and times and solve for the time Suzette spent running.
Let r be the time spent running and b be the time spent biking. We are given:
Total time: r + b = 3.5 hours
Total distance: 6r + 12.5b = 34 miles (6 mph is the running speed, 12.5 mph is the biking speed)
Now we'll solve this system of equations:
Substitute b from the first equation into the second equation: 6r + 12.5(3.5 - r) = 34.
Simplify and solve for r: 6r + 43.75 - 12.5r = 34.
This simplifies further to -6.5r = -9.75, hence r = 1.5.
Suzette ran for 1.5 hours.
Find x and fill in the angle values. Could you also explain how it works? Please and thank you.
Answers
Angles 3 and 1 are vertical angles, and angles 2 and 4 are vertical angles. Vertical angles are congruent by definition, so angle 3 is congruent to angle 1, and angle 2 is congruent to angle 4.
The adjacent angles are supplementary (they add to equal 180 degrees) so you can set up an equation to solve for x.
180 = 2x + x
180 = 3x
60 = x
x = 60
To find the measure if each angle, plug in x as needed.
Angle 4 = x
Angle 4 = 60 degrees
Angle 2 = angle 4
Angle 2 = 60 degrees
Angle 3 = 2x
Angle 3 = 2(60)
Angle 3 = 120
Angle 1 = angle 3
Angle 1 = 120
I hope this helps you.
0.9 of Karen's Science score is equal to 0.75 of her Math score and 0.8 of her Chemistry score. Given that Karen scored 96 marks for her Math, what was her total score of the 3 subjects?
Answers
You have to formulate equations for this problem.
Let S = Science score
M = Math score
C = Chemistry score
To illustrate the given:
0.9S = 0.75M
0.9S = 0.8C
You are given that Karen’s Math score is 96 marks. You have to substitute the Math score to the first equation.
0.9S = 0.75(96)
0.9S = 72
S = 80
Therefore, Karen’s Science score is 80. Now, you have to substitute the Science score to the second equation.
0.9(80) = 0.8C
0.8C = 72
C = 90
So, Karen’s Chemistry score is 90.
Therefore, the total score of the 3 subjects is 266 (96 + 80 + 90).
Answer:
C 90
Step-by-step explanation:
In 1900, there was an Olympic underwater swimming event. The score was calculated by giving one point for each second the swimmer stayed under water and two points for each meter that the swimmer traveled. Charles de Vendeville from France earned a gold medal by staying under water 68.4 seconds while traveling 60.2 meters. How many points did Charles de Vendeville earn to place first? Express the answer to the nearest tenth of a point.
Answers
The points for the swimming event are calculated as :one point for each second the swimmer stayed under water and two points for each meter that the swimmer traveled.
Charles de Vendeville stayed under water for 68.4 seconds.
Points earned for staying under water = 68.4 (1)= 68.4
Vendeville from France travelled 60.2 meters
Points earned for traveling 60.2 meters = 60.2(2)= 120.4
Total points earned = 68.4+120.4=188.8
which phrase correclty describe the location on thr number line of opposite of -8? A a point 8 unit tot he left of -8. B a point 8 unit to the right of -8 C.a point 8 unit to the left of 0 D.a point 8 unit to the right of 0
Answers
I hope that helped
I need help please help me!!!!
Answers
Toni=4
3+4=7
7 / 1/4=28.
Use keep, change, flip.
Keep 7.
Change / to *
Flip 1/4 to 4/1.
Now, you have 7/1 * 4/1=28
Your answer is 28.
Hope this helped☺☺
What is the square root of 1,563?
Answers
can someone help me with this question?
Answers
Volume = l * b * h
= 2 1/2 * 3 1/2 * 2/3
= 5/2 * 7/2 * 2/3
= 35/6
= 5 5/6
Suppose MyBook has roughly 1,000,000 users, and as each member signs up for an account, he or she is assigned a number. Which of these would result in the smallest sample size using systematic sampling?
A. Surveying every 25,000th number
B. Surveying every 250th number
C. Surveying every 25th number
D. Surveying every 2500th number
Answers
In systematic sampling, a higher n-value (every nth number) means fewer members are selected, thus smaller sample size. Therefore, surveying every 25,000th number results in the smallest sample size.
Explanation:In systematic sampling, every nth member of a population is chosen for sampling. The smaller the value of n, the larger the sample size will be, because you're selecting a member more frequently. When we compare the options given: A. 25,000, B. 250, C. 25, and D. 2500, we see that option A (the 25,000th member), will result in the smallest sample size. In this scenario, for a total user base of 1,000,000, selecting every 25,000th member would produce approximately 40 samples (1,000,000 / 25,000 = 40), which is less than what you'd get with the other options.
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10:100 it equivalent to
Answers
Find the GCF. 10 is the GCF because it goes into 10 once and 100 ten times. So 10:100 is equivalent to 1:10.
I hope this helps!
Help please i need it and you dont have to show your work