find the area of the figure
PRECISION In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?
Answer:
46.272 or 46 34
125
Explains :
Let see :
Based on the given conditions, formulate: 16×14.46÷5
Calculate the product or quotient:231.36
5
Convert decimal to fraction:23136
100
5
Divide a fraction by multiplying its reciprocal:23136 × 1
100 5
Write as a single fraction:23136
100×5
Cross out the common factor:5784
25×5
Calculate the product or quotient:5784
5784 125
get the result: 46.272 or 46 34
125
Answer: 46.272 or 46 34
125
Noah receives a 5$ discount each month on his cell phone bill because he signed up for an auto pay from his bank account over the last 8 months Noah has paid a total of 280$ for his cell phone bill. what would Noah be charged for his cell phone bill each month if he stopped using auto pay
Using proportions, it is found that Noah would be charged $40 each month for his cell phone bill each month if he stopped using auto pay.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
He paid a total of $280 during 8 months, hence the monthly amount he paid is given by:
M = 280/8 = $35.
Without the discount, he would have paid $5 more, hence Noah would be charged $40 each month for his cell phone bill each month if he stopped using auto pay.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Andrea is designing the seating arrangement for a concert in her local park. to give everyone a good view, each row must have 4 more seats than the row before it, and the 1st row can only have 10 seats. help andrea plan the rest of the seating by solving for how many seats are in row 20. then explain to andrea how to create an equation to predict the number of seats in any row. show your work, and use complete sentences.
Andrea is designing the seating arrangement for a concert in her local park. The number of seats in row 20 would be 86 seats.
What is the Arithmetic Sequence?Arithmetic sequence is a sequence where each consequtive term has a common constant difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
The arithmetic sequence formula is;
aₙ = a + (n − 1)d,
where;
a is the first term
n is the position of the term in the sequence
d is the common difference
aₙ is the nth term of the sequence.
Our sequence is 10, 14, 18, 22 up to row 20.
Using the sequence formula;
[tex]a_{20} = 10 + (20 - 1)4.\\a_{20} = 10 + (19\times 4)\\a_{20}= 10 + 76\\a_{20}= 86.[/tex]
Thus, the number of seats in row 20 was 86 seats.
Read more about Arithmetic Sequence at;
https://brainly.com/question/26960394
#SPJ1
Solve tTwo researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?
he linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.
Answer:
x2
Step-by-step explanation:
bcs yeah
What is the value of x?
A x = 2
B = 3
C x = 5
D x = 8
Answer:
x=5 .........................................
simplify the radical expression -2√2p*2√22
Answer:
Simplest form = -4√44p
Step-by-step explanation:
● -2√2p × 2√22
⇒ (-2)(2)(√2p)(√22)
⇒ -4√44p ...Answer...
hope that helps...
1. What effect does replacing x with x -4 have on the graph for the function f(x)?
f(x)= |x|-5
A vertical shift of 4 up.
A horizontal shift of 4 to the right.
A vertical shift of 5 down.
A horizontal shift of 4 to the left.
Question 4
Answer: Choice B
A horizontal shift of 4 to the right.
========================================================
Reason:
Replacing x with x-4 basically means we're decreasing each input by 4 units.
What this does is move the xy axis 4 units to the left. If we held the function curve fixed in place as the xy axis moved like this, then it would give the illusion the function is moving 4 units to the right.
Visual confirmation is shown below.
The solutions of the cubic function f(x) are -4, 5/3, and 1. identify a factor of this function.
a. 3x+5
b. 5x+3
c. x+1
d. x+4
The factor of the function from the given option is d. x+4
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
The solutions of the cubic function f(x) are -4, 5/3, and 1. WE need to identify a factor of this function.
So, the solution are
x = -4
Factor;
x + 4
now,
x = 5/3
Factor;
x - 5/3 = 0
3x - 5 = 0
also,
x = 1
Factor;
x - 1= 0
Therefore, the factor of the function from the given option is d. x+4
Learn more about function here:
https://brainly.com/question/2253924
#SPJ1
Please I need help I’m being timed.please
Answer:
C, D, and E
Step-by-step explanation:
85-20=65
t>65
This means all the numbers greater than 65.
Do not include 65 because it is not a greater than or equal to symbol.
Hope this helps!
If not, I am sorry.
3×4×100±67≤65║556∪120D⊥p=13⇆87∞44f1······
HELP PLEASEE WHAT IS THIS????
Answer: That is most likely an unsolvable question.
Step-by-step explanation: PEMDAS
3×4×100±67≤65 Doesn’t work.
3x4= 12 ~ 12x100=1200 ~ 1200+67=1267 ~ 1267<65
556∪120D⊥p=13⇆87∞44f1······ Also clearly isn’t a math question
I am not sure if this helps. But I really did look into it and found nothing. I am So sorry to disappoint.
Type the correct answer in each box. a race car is driven by a professional driver at 99 . what is this speed in and ? 1 mile = 1.61 kilometers 1 hour = 60 minutes express the answers to the correct number of significant figures. the speed is equivalent to , or .
The speed of the car in kilometres per minutes is 2.6565 km/minutes
How to find speed in km/minutes?The car speed is 99 miles per hours.
Therefore,
1 miles = 1.61 km
99 miles = ?
cross multiply
distance = 159.39 km
Therefore,
1 hour = 60 minutes
Hence,
speed = 159.39 / 60
speed = 2.6565
speed = 2.6565 km/minutes
learn more on speed here: https://brainly.com/question/17096123
#SPJ1
Calculate the average speed of the object between 1 and 3 seconds.
Help please it is confusing
Answer:
(c) Yes, +4 more
Step-by-step explanation:
The problem statement is telling you the available quantity in pounds. The answer choices are expressing the difference in terms of packets. A conversion of units of measure is needed.
__
availablePatel has 8 pounds of seed, and he puts it into 1/2-pound packets. Each pound will fill two (2) half-pound packets, so he has enough for ...
(8 lb) × (2 packets/lb) = 16 packets
neededPatel has 12 people planting seed, so needs 12 of the 16 packets in order to give each team member one packet.
He has enough seed for this need, and enough for 16 -12 = 4 more packets than he needs.
What are the zeros of the function
f(x)=6x^2+x-40
Answer:
X= 2.667 or X= -2.5
Step-by-step explanation:
sorry if this isn't correct </3
A can of soda can be modeled as a right cylinder. Suav measures its height as 11.6 cm and its radius as 2.7 cm. Find the volume of the can in cubic centimeters. Round your answer to the nearest tenth if necessary.
Answer:
16.4cm3
Step-by-step explanation:
hope this helps
Volume
πr²hπ(2.7)²(11.6)7.29(11.6)π84.564π265.5cm³Which of the following rational functions is graphed below?
Put the following equation of a line into slope-intercept form, simplifying all fractions. 5x+6y=42
Answer:
[tex]y=-\frac{5}{6} + 7[/tex]
Step-by-step explanation:
Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.
1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.
[tex]6y=-5x+42[/tex]
2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:
[tex]y=-\frac{5}{6} + 7[/tex]
Investment increase exponentially by about 26% every 3 years. if you start with $2,000 investment how much money would you have after 45 years
Using an exponential function, it is found that you would have an amount of $64,060 in 45 years.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, considering the initial value of A(0) = 2000, with a growth rate of r = 0.26 each 3 years, the equation is given by:
[tex]A(t) = 2000(1.26)^{\frac{t}{3}}[/tex]
In 45 years, the amount will be given by:
[tex]A(45) = 2000(1.26)^{\frac{45}{3}} = 64060[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
PLEASE HELP!!!
Follow the guided instructions below to rotate the figure 270^{\circ}270
∘
clockwise about the origin.
Coordinates after 270 clockwise rotation is (-6,-2), (-3,-5) and (-8, -5).
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given coordinates are: (-2,6) , (-5, 3) and (-5, 8)
For 270° clockwise about the origin, we have the following rule:
(x, y)= (-y, x)
So,
coordinates (-2,6) change into (-6,-2)
coordinates (-5, 3) change into (-3,-5)
coordinates (-5, 8) change into (-8, -5).
Learn more about this concept here:
https://brainly.com/question/12673036
#SPJ1
I need help asap pls help
Answer:
For the first triangle:
[tex]2.75 units^{2}[/tex]
For the second triangle:
[tex]3.98 units^{2}[/tex]
Step-by-step explanation:
To find area of right triangles:
[tex]A=\frac{ab}{2}[/tex]
Turn mixed numbers into improper fractions, then decimals. It's not required but I tend to find working with decimals much easier ;)Multiply them togetherDivide by 2And you are good to go!
Please feel free to comment, give feedback, ask questions, and correct me if I am wrong!
Have a great day!
:)
Help please give answer please
The mean is 8 gerbils and the MAD is 4.29.
What is the mean?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(0 + 3 + 6 + 9 + 11 + 13 + 14) / 7 = 8
What is the MAD?
MAD = ∑ l x - m(x) l
| (0 - 8) + (3 - 8) + (6 - 8) + (9 - 8) + (11 - 8) + (13 - 8) + (14 - 8)| / 7 = 4.29
To learn more about mean, please check: https://brainly.com/question/25842202
#SPJ1
Is this a proportional relationship? Please help!
Answer:
No
Step-by-step explanation:
If you draw a line, it will not go through the origin and there isn't a constant rate of change.
A town on the coast is building a lighthouse that is 27 meters tall. Determine the area of the circular base of the lighthouse if the radius of the base is 35 meters. Use 22/7 for pi. WILL GIVE BRAINLIEST
A. 220 m2
B, 3,830 m2
C.103,950 m2
D.15,400 m2
Answer:
B. 3850 m²Step-by-step explanation:
Use the equation of area of circle:
A = πr²Substitute π with 22/7 and r with 35 m as per question.
Find the area:A = 35²*(22/7) = 3850 m²Correct choice is B (with slight difference)
Answer:
B. 3850 m²
Step-by-step explanation:
The area of the base of the lighthouse can be modeled as a circle.
Area of a circle
[tex]\textsf{A}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
Given:
r = 35 mπ = 22/7Substitute the given values into the formula and solve for A:
[tex]\implies \sf A=\dfrac{22}{7} \cdot 35^2[/tex]
[tex]\implies \sf A=\dfrac{22}{7} \cdot 1225[/tex]
[tex]\implies \sf A=\dfrac{26950}{7}[/tex]
[tex]\implies \sf A=3850\:\:m^2[/tex]
Therefore, the area of the circular base of the lighthouse is 3850 m²
How many solutions exist for the system of equations graphed below?
a.) none
b.) one
c.) two
d.) infinitely many
Considering the given graph, the number of solutions for the system of equations is given by:
b.) one
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In a graph, the number of solutions is given by the number of times the lines intersect. Hence, in this problem, the system has one solution, and option b is correct.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
What is the volume of a triangle with a radius of 5 and a height of 6
Simplify please help me with this question
Answer:
a^4
Explanation:a^2×a^3= a^5(a^2+3)
a^5/a= a^4(a^5-1)
28. sylvia researched changes in the deer population in her state's parks during her lifetime
and found that population has been halved every 8 years.
she wrote the equation 4800(8) { = 600 and plans to solve fort to determine in how
many years it will take for the current population of 4800 deer to reduce to 600.
Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change, as a decimal.In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:
[tex]A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}[/tex]
The population will be of 600 when A(t) = 600, hence:
[tex]A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}[/tex]
[tex]600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}[/tex]
[tex]\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}[/tex]
[tex]\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}[/tex]
[tex]\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3[/tex]
Hence:
t/8 = 3.
t = 24.
It will take 24 years for the current population of 4800 deer to reduce to 600.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
PLease help 5 stars + thanks
Answer:
B.80
Step-by-step explanation:
a straight line adds up to 180 degrees. you already have 100. 180-100=80
14.35: a baseball league has nine teams. during the season, each of the nine teams plays exactly three games with each of the other teams. what is the total number of games played?
Answer:
One team must play 8 games 3 times equals 24 games
One team must play 24 games
But each game uses 2 teams so there are 12 games in all
Or 9 * 24 / 2 = 108 games
Check: If there were 3 teams then one team must play
2 games 3 times for a total of 6 times so the total of games played will be six for each team or 18 games, but each game uses 2 teams so the total of games is nine: 1-2, 2-3, 1-3 (each team has played its opponent once) - 3 * 3 = 9
T = number of teams in league
(T - 1) 1 team plays each other once
(T - 1) * T each team has played 1 game for entire league
(T - 1) * T / 2 total games to be played for 1 game each
G * (T - 1) * T / 2 where G is number of games