The excise tax on 1 gallon of gasoline = 18.2 cents
You will buy 18.5 gallons
We need to find the excise tax you should pay
At first let us change the cent to dollar
1 cent = 1/100 dollars
18.2 cents = 18.2 * 1/100 = 0.182 dollars
Now you will buy 18.5 gallons
You will pay = 18.5 * 0.182 = 3.367 Dollars
The state excise tax = $3.367
Round the number to the nearest cent, then it will be $3.37
Which graph shows the ordered triple (2, 3, 3) plotted correctly?
Answer:
the answer is D
Step-by-step explanation:
please need help with this ASAP
Answer:
[tex]\sf \dfrac{1}{2} \pi \;\overline{TM}[/tex]
Step-by-step explanation:
The angle at the circumference in a semicircle is a right angle.
Therefore, as [tex]\sf \overline{OS}[/tex] is the diameter of circle T, and point Q is on the circumference of the circle:
m∠SQO = 90°Therefore, if m∠MTN = m∠SQO then:
m∠MTN = 90°Angles around a point sum to 360°.
As 90° is one quarter of 360°, the measure of arc MN is one quarter of the circumference of circle T.
The circumference of a circle is 2πr, where r is the radius.
Therefore:
[tex]m\sf \overset{\frown}{MN}=\dfrac{2 \pi r}{4}=\dfrac{1}{2} \pi r=\dfrac{1}{2} \pi \;\overline{TM}[/tex]
Complete the table. Write each exponent as a simplified fraction or integer.
6 to the power of - 1
6 to the power of - 2
6 to the power of - 3
6 to the power of - 4
Answer + Explanation:
Since you just flip the fraction if you have a negative power, you get
1.) 6 to the power of -1 = 1/6
2.) 6 to the power of -2 = 1/36
3.) 6 to the power of -3 = 1/216
4.) 6 to the power of -4 = 1/1296
Sup guy can i have help 420 points up for grab
-(x-8y+27)
Answer:
-x+8y-27
Step-by-step explanation:
-(x-8y+27)
so the sub symbol is kinda just 1 sense there isnt anything else for there
-1(x-8y+27)
now just like group them or smt
-1(x)+(-1)(-8y)+(-1x27)
so yea then tou multiply all of them and then
-x+8y-27
also
- x - = +
+ x + = +
- x + = -
Jerome is making beef stew for his family. The recipe calls for 3.5 pounds (lbs.) of stew meat. He notices that he has 1.25 pounds (lbs.) in his refrigerator. How much stew meat should buy when he goes to the grocery in order to have enough? a) What operation (add, subtract, multiply or divide) would you use to solve this? b) How did you know?
EXPLANATION
Let's see the facts:
Call for---> 3.5 lbs of stew meat
Refrigerator -------> 1.25 lbs stew meat
He would buy:
Required - Available ----> 3.5 - 1.25 = 2.25 lbs of stew meat
The operation that we apply is subtraction because 3.5lbs (required) is greater than 1.25lbs (available).
For a field trip 23 students rode in cars and the rest filled 4 buses how many students were in each bus if 111 students were on the trip.
Let b be the number of students that were in each bus, since 111 students were on the trip, 23 students rode in cars, and the rest filled 4 buses, then we can set the following equation:
[tex]111=23+4b\text{.}[/tex]Subtracting 23 from the above equation we get:
[tex]\begin{gathered} 111-23=23+4b-23, \\ 88=4b\text{.} \end{gathered}[/tex]Dividing the above equation by 4 we get:
[tex]\begin{gathered} \frac{88}{4}=\frac{4b}{4}, \\ b=22. \end{gathered}[/tex]Answer: 22 students.
Taylor received a paycheck of $1575. First, she spent 30% of her paycheck to make a house payment. Next, she spent 3/14 of the remaining amount to make a car payment. What amount was still left over from Taylor's paycheck after these two payments?
$866.25
1) Gathering the data
$1575
she spent 30%
she spent 3/14
2) Let's calculate it, starting with the 30% expense. Writing a factor, we have already the value:
1575 x ( 1 -0.3)
1575 x (0.7)
1102.50
Now let's proceed with the deduction of 3/14, which can be calculated through that:
1102.5 -3/14x (1102.5)
$866.25
3) Hence, Taylor's balance was after those payments of $866.25
twelve more than two times a
number is twenty-two
Answer:
5 is the number
Step-by-step explanation:
2x + 12 = 22
2x+12-12 = 22-12
2x = 10
2x÷2 = 10÷2
x=5
Plug x back in the equation and check the answer.
2(5)+12 = 22
10+12 = 22
22=22
It checks out!
(c) The annual membership fee in 2013 is $198 for each adult and $75 for each child. (i) Calculate the total amount the 560 members pay in 2013.
The total amount the 560 members pay in 2013 will be $96,120.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The yearly enrollment expense in 2013 is $198 for every grown-up and $75 for every kid.
Adult = 440 members
Children = 120 members
Then the total amount the 560 members pay in 2013 will be given as,
Total amount = 440 x 198 + 120 x 75
Simplify the expression, then we have
Total amount = 440 x $198 + 120 x $75
Total amount = $87,120 + $9,000
Total amount = $96,120
The total amount the 560 members pay in 2013 will be $96,120.
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The complete question is given below.
The annual membership fee in 2013 is $198 for each adult and $75 for each child.
Adult = 440 members
Children = 120 members
Calculate the total amount the 560 members pay in 2013.
Between which rational numbers does 30−−√ fall?
Rational number which does the square root of 30 fall is between 5 and 5.5.
Define rational number.A rational number is any number that can be expressed as a ratio (or fraction) of two integers. p/q where q is not equal to 0 is the form of a rational number, which is a sort of real number in mathematics. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other like numbers are a few examples of rational numbers.
Given,
25 and 36, which are the squares of 5 and 6, respectively, are the perfect squares that are most similar to 30.
Therefore, the square root of 30 will lie between 5 and 6. Additionally, the square root of 30 will be between 5 and 5.5 because it is closer to 25 than it is to 36.
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b=3 what does b(b-5) equal please
Answer:
= -6
Step-by-step explanation:
Substitute it in:
3(3-5)
Calculate the difference:
3(-2)
Then multiply to get an answer:
= -6
Given two sides of a triangle, find a range of possible lengths for the third side.
Using the triangle inequality theorem,
b - a < X < a + b
Hence,
17 - 4 < x < 17 + 4
13 < x < 21
Hence, the third side lies between 13cm and 21 cm
write write in equal inequalities to represent each situation Molly went shopping in her bank account got below 7.50
1) When full, a tank contains 1620 gallons of water. Currently, the tank has 648 gallons of water in it. What percent of the full tank is this?
Answer:
The tank is currently 40% (40 percent) full.
Step-by-step explanation:
We can find this by dividing the current fullness (648 gal) by the full tank (1620 gal).
648 / 1620 = 0.4
0.4 = 40%
How do we know to divide 648 by 1620 and not the other way around?
We know this because that we want to know what percent of the full tank is currently full. It's something that you just need to get used to, once you do enough of these types of problems, I'm sure you'll get the hang of it!
Hope I could help you! If I did, it would mean a lot of you could give braniest or even just a thanks :) If I didn't quite answer your question, please let me know and I'll try my best to assist you!
[tex]\frac{(438)^{3} \sqrt{0.056} }{(388)^{4} }[/tex]
The simplification of the given expression is 0.3404
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.
WE have given the expression as;
[tex]\frac{(438)^{3} \sqrt{0.056} }{(388)^{4} }[/tex]
Now solving;
[tex]\dfrac{(438)^{3} \sqrt{0.056} }{(388)^{4} }\\\\\\\dfrac{84027784 \times 0.23}{58411072 }\\[/tex]
= 0.3404
Therefore, the simplification of the given expression is 0.3404
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Matikas is writing a coordinate proof to show that the midpoints of a quadrilateral are the vertices of a parallelogram. He starts by assigning coordinates to the vertices of quadrilateral RSTV and labeling the midpoints of the sides of the quadrilateral as A, B, C, and D.
Quadrilateral R S T V in a coordinate plane with vertex R at 0 comma 0, vertex S in the first quadrant at 2 a comma 2b, vertex T also in the first quadrant at 2 c comma 2 d, and vertex V on the positive side of the x-axis at 2 c comma 0. Point A is between points R and S, point B is between points S and T, point C is between points T and V, and point D is between points R and V.
Enter the answers, in simplified form, by filling in the boxes to complete the proof.
The coordinates of point A are (
,
).
The coordinates of point B are (a+c, b+d) .
The coordinates of point C are (
,
).
The coordinates of point D are (c, 0) .
The slope of both AB¯¯¯¯¯ and DC¯¯¯¯¯ is dc .
The slope of both AD¯¯¯¯¯ and BC¯¯¯¯¯ is
.
Because both pairs of opposite sides are parallel, quadrilateral ABCD is a parallelogram.
(a,b) = coordinate of point A , (2c,d) = coordinate of point C , slope of AD and BC = [tex]\frac{b}{a-c}[/tex]
What is coordination?A set of values representing the location of a point on the coordinate plane using horizontal and vertical distances from two reference axes. Often expressed as (x,y), where the x value and
As per the midpoint formula
we have points P(x1,y1) and Q (x2, y2)
Now mid point of line PQ is
[tex]x = \frac{x1+x2}{2} , y =\frac{y1+y2}{2}[/tex]
Here, the mid point of line joining R(0,0) and S(2a,2b)
By midpoint formula, coordinates of point A
[tex]x = \frac{0 + 2a}{2} =a , y = \frac{0+2b}{2} = b[/tex]
so
coordinate of point A is (a,b)
[tex]Also, C. is \\ the midpoint of line joining \\T (2c,2d) and V(2c,0)[/tex]
coordinate of point C is given by
[tex]x = \frac{2c+2c}{2} = 2c, y = \frac{2d+0}{2} = d[/tex]
so we have
(2c,d) = coordinate of point C
it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)
If we have points P(x1,y1) and Q (x2,y2)
then the slope of PQ =[tex]\frac{y2-y1}{x2-x1}[/tex]
hence slope of AD= [tex]\frac{0-b}{c-a}[/tex]
=[tex]\frac{b}{a-c}[/tex]
and slope of BC =[tex]\frac{d-(b+d)}{2c-(a+c)} \\[/tex]
=[tex]\frac{b}{a-c}[/tex]
both of the ,slope of AD and slope of BC are same = [tex]\frac{b}{a-c}[/tex]
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Sam and Rohan's families are driving to Chicago, Illinois, from Orlando, Florida. Sam's
family is driving a direct route of 1,157 miles at 65 mph. Rohan and his family are driving
through Charlotte, North Carolina and will drive 1,250 miles at 70 mph.
At this rate, how many hours will it take Sam's family to get to Chicago, Illinois?
(Round your answer to the tenths place.)
The time taken for Sam's family to get to Chicago, Illinois is 17.8 hours.
How many hours will it take Sam's family to get to Chicago, Illinois?Sam's family:
Total distance = 1,157 milesAverage speed = 65 mphTime taken = ?Average speed = Total distance / Time taken
65 = 1, 157 / time
cross product
65 × time = 1, 157
Time = 1,157 / 65
Time = 17.8 hours
Roshan's family:
Total distance = 1,250 milesAverage speed = 70 mphTime taken = ?Average speed = Total distance / Time taken
70 = 1,250 / Time
cross product
70 × time = 1,250
Time = 1,250/70
Time = 17.86 hours
Approximately,
17.9 hours
In conclusion, it will take Rohan's family 17.9 hours to get to Chicago, Illinois.
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Determine g(x + a) - g(x) for the following function.g(x) = 3x^2 - 5x
Answer:
3a² + 6ax + 5a
Explanation:
Given the following function
g(x) = 3x² - 5x
Determine g(x+a)
g(x+a) = 3(x+a)² - 5(x+a)
Expand the result
g(x+a) = 3(x² + 2ax + a²) - (5x - 5a)
g(x+a) = 3x² + 6ax + 3a² - 5x + 5a
Determine g(x + a) - g(x)
g(x + a) - g(x) = 3x² + 6ax + 3a² - 5x + 5a - (3x² - 5x)
g(x + a) - g(x) = 3x² + 6ax + 3a² - 5x + 5a - 3x² + 5x
Collect the like terms
g(x + a) - g(x) = 3x² - 3x² - 5x + 5x + 6ax + 3a² + + 5a
g(x + a) - g(x) = 6ax + 3a² + 5a
g(x + a) - g(x) = 3a² + 6ax + 5a
Hence the required result for the function g(x + a) - g(x) is 3a² + 6ax + 5a
what does pie mean in math
Answer: The symbol used by mathematicians to represent the ratio of a circle's
Step-by-step explanation: circumference to its diameter is the lowercase Greek letter π, sometimes spelled out as pi. In English, π is pronounced as "pie"
50% of the tickets sold an amusement park or a discount tickets at the park sold 94 tickets to know how many discount tickets did it sell
we have that
50%=50/100=0.50
Multiply the total tickets sold by the factor of 0.50
so
94*0.50=47 tickets
the answer is 47 ticketsSara needs to purchase one notebook and packs of pencils (p) for school. A notebook costs $12.99 and packs of pencils cost $1.19 each. Which equation shows the relationship between the total cost, C, of a notebook and p packs of pencils?
The total cost of all the items mentioned can be expressed as
12.99 + 1.19 P = C
Given : Sara needs to purchase one notebook
Also it is given that pack of pencils is represented by P
Since a notebook costs = $ 12.99
And pack of pencils cost = $ 1.19
Thus the total cost can simply be represented by adding all the above mentioned items
this means it can be written as
12.99 + 1.19 P = C where C represents the total cost { given }
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5. Write whether each expression is a monomial or a binomial.а. Зуb.(-9) +hC. Wr + 5wrd. -7aghe. 2f. k + 126. Simplify these expressions.8n + (-9p) + (-2p)
A monomial is an expression with a single term. A binomial is an expression with 2 terms.
Looking at the given question,
a. 3y is a single term. Thus, it is a monomial
b. - 9 + h. The expression has two terms. It means that it is a binomial
c. Wr + 5wr is also a binomial
d. -7agh is a monomial
e. 2 is a monomial
f. k + 12 is a binomial
1-You are werdding photograher. You are preparing to photograph wedding party consisting of 5 bridemaids. 5 groomsmen, the bride, and the groom. How many people should be in this photo ?
EXPLANATION
In this photo should be 5+5+1+1=12 people.
The answer is 12 people.
1. What is the equation of the line in standard form? A302-10
Question: What is the equation of the line in standard form?
The standard form for a line is :
y = mx + b
where m is the slope and b is the intercept with y axis.
First, we are going to find the slope, choosing any two points on the line. For example (X1, Y1) = (-4,0) and (X2, Y2) = (0,3). Then, by definition the slope is:
[tex]m\text{ = }\frac{Y2\text{ - Y1}}{X2\text{ - X1}}\text{ = }\frac{3-0}{0-(-4)}\text{ = }\frac{3}{0+\text{ 4}}\text{ = }\frac{3}{4}[/tex]so, our new line equation would be:
[tex]y\text{ = mx + b = }\frac{3}{4}x\text{ + b}[/tex]that is:
[tex]y\text{ = }\frac{3}{4}x\text{ + b}[/tex]Now, we are going to find the y-intercept. This is also accomplished by picking two points on the line and solving for b. For example (X2, Y2) = (0,3). So, for above equation we have:
[tex]3\text{ = }\frac{3}{4}(0)\text{ + b}[/tex]then
[tex]3\text{ = 0 + b = b}[/tex]Then, we have b = 3.
Now, replacing the values of the slope and the intercept previously found, we obtain the equation of the line :
[tex]y\text{ = mx + b = }\frac{3}{4}x\text{ + }3[/tex]that is
[tex]y\text{ = }\frac{3}{4}x\text{ + }3[/tex]Use the graph to determine the point of intersection (4,5)(1,3)(5,4)(3,1)
The intersection point is (4,5) because that's the point where the two lines meet
what is 5(−3.4k−7)+(3k+21) pls
The coordinates of one endpoint of a line segment are (4, - 12). The length of the segment is 5 units. Determine four coordinate pairs that could serve as the other endpoint of the given line segment. Enter all four coorblinate pairs in the box using a comma to separate each pair. For example:
Solution:
Starting point = (4, -12)
Length = units
Along the y axis, the endpoints could be
(4, -7) and (4, -17)
Along the x- axis, the endpoints could be
(9, -12) and (-1, -12).
The answer is (4, -7), (4, -17), (9, -12), (-1, -12).
Bryce wants to renovate his kitchen. The construction estimate is $28,400. He can finance through his local bank or directly through the construction company. The bank (loan A) offers a maximum 6-year loan at 8% annual interest, resulting in monthly payments of $497.94.The construction company (loan B) offers a maximum 10-year loan at 5.5% annual interest, resulting in monthly payments of $308.21.Which loan requires Bryce to pay less, and by how much?First, calculate the total payback for each loan.
ANSWER:
Loan A requires Bryce to pay less by $1,133.52
EXPLANATION:
For bank A, we're given;
Length of loan in years(t) = 6 years
Annual interest rate(r) = 8% = 8/100 = 0.08
Loan payment(PMT) = $497.94
Number of compounds per year(n) = 12
We can go ahead and determine the loan amount using the below formula as seen below;
[tex]\begin{gathered} Loan\text{ }amount,P_0=\frac{PMT(1-(1+\frac{r}{n})^{-nt})}{\frac{r}{n}} \\ \\ =\frac{497.94(1-(1+\frac{0.08}{12})^{-12*6}}{\frac{0.08}{12}} \\ \\ =\text{ \$}28399.77 \end{gathered}[/tex]So we can see that Bryce will pay back;
[tex]\begin{gathered} Bank\text{ }A\text{ }Loan\text{ }Payback=497.94(12*6) \\ \\ =497.94\left(72\right) \\ \\ =\text{\$}35,851.68 \end{gathered}[/tex]For bank B, we're given;
Length of loan in years(t) = 10 years
Annual interest rate(r) = 5.5% = 5.5/100 = 0.055
Loan payment(PMT) = $308.21
Number of compounds per year(n) = 12
We can go ahead and determine the loan amount using the below formula as seen below;
[tex]\begin{gathered} Loan\text{ }amount,P_0=\frac{PMT(1-(1+\frac{r}{n})^{-nt})}{\frac{r}{n}} \\ \\ =\frac{308.21(1-(1+\frac{0.055}{12})^{-12*10}}{\frac{0.055}{12}} \\ \\ =\text{ \$}28399.57 \end{gathered}[/tex]So we can see that Bryce will pay back;
[tex]\begin{gathered} Bank\text{ B }Loan\text{ }Payback=308.21(12*10) \\ \\ =308.21\left(120\right) \\ \\ =\text{\$}36985.20 \end{gathered}[/tex]We can see that Bryce will pay back $35,851.68 for Loan A and $36,985.20 for Loan B, so Loan A requires Bryce to pay less and by $1,133.52
What is 4 1/4 - 2 1/2
Answer:
=1 and 3 over 41
=1.75
Step-by-step explanation:
The height of a triangle is 5 less than double its base, which is 13/2. Find the triangle´s area.
Answer:
The answer you are looking for would be 11 7/2.
Step-by-step explanation:
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