We don't know what tax percentage or amount is so we have to keep this part out.
Add to find how much she paid with.
10 + 5 = $15
Subtract to find how much she paid.
15 - 4.68 = $10.32
Divide to find the unit price.
10.32 / 2.4 = $4.30 per gallon
Best of Luck!
The total of 8 and the product of x and 2
Answer:
8+2x
Step-by-step explanation:
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 20. The hypotenuse is marked 52.
Answer:
48
Step-by-step explanation:
The Pythagorean Theorem is:
[tex]a^2+b^2=c^2[/tex]
where [tex]a[/tex] and [tex]b[/tex] are the legs of the right triangle. [tex]c[/tex] is the hypotenuse of the triangle.
In this right triangle, we know that one leg is 20 and the hypotenuse is 52. Therefore,
[tex]a=20[/tex]
[tex]c=52[/tex]
Since we don't know the other leg, we can leave it as [tex]b[/tex]. Substitute the values into the theorem.
[tex]20^2+b^2=52^2[/tex]
Evaluate the exponents first.
⇒ 20²=20*20=400
⇒ 52²= 52*52= 2704
[tex]400+b^2=2704[/tex]
Since we want to find [tex]b[/tex], we must isolate [tex]b[/tex]. First, subtract 400 from both sides of the equation.
[tex]400-400+b^2=2704-400[/tex]
[tex]b^2=2704-400[/tex]
[tex]b^2=2304[/tex]
[tex]b[/tex] is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.
[tex]\sqrt{b^2}=\sqrt{2304}[/tex]
[tex]b=\sqrt{2304}[/tex]
[tex]b=48[/tex]
The length of the other leg is 48
what type of numbers can be written as a fraction p/q, where p and q are integers and q is not equal to zero
Answer:
rational number
Step-by-step explanation:
The description is of the set of numbers called the "rational numbers."
A rational number is a fraction of integers that when divided, you either get an integer, a terminating decimal, or a non-terminating, repeating decimal.
The ______ of a function is the complete set of inputs, whereas the _______ is the set of all outputs
Answer:
Domain, range
Step-by-step explanation:
The domain of a function is the complete set of inputs, whereas the range is the set of all outputs.
Domain= Input
Range= Output
The domain of a function is the complete set of inputs, whereas the range is the set of all outputs.
What are the domain and range of the function?The domain of the function includes all possible x-values of a function, and the range includes all possible y-values of the function.
The domain of a function refers to all the possible input values that can be plugged into a function and produce a valid output. It represents all the values that are allowed as inputs to the function.
The range of a function refers to all the possible output values that can be produced by the function. It represents the set of all values that the function can produce as outputs, given the inputs from the domain.
So, the domain represents the set of all possible inputs to the function, and the range represents the set of all possible outputs of the function.
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Which expression is equivalent to -6 - ( 2)?
Answer:
-8
Step-by-step explanation:
Ordering Rational Numbers
0.32, 3/55 0.31
Answer:
0.31<0.32<33/55
Step-by-step explanation:
33/55=0.6
=> 0.31<0.32<0.6
What is the defining quality of an organic compound? It must be comprised entirely of carbon and hydrogen atoms. It must be part of a living being. It must contain carbon. It must be in solid form.
Answer:
It must contain carbon.
Step-by-step explanation:
get it right on test.
Answer: it must contain Carbon.
Step-by-step explanation: If a compound doesn’t contain carbon, it isn’t an organic compound
Part A
Is there a transformation that maps shape l onto shape ll?explain your answer.
Part B
Is there a transformation that maps shape l onto shape lll? Explain you answer.
Part C
Is there a transformation that maps shape l into shape lV? Explain your answer.
Part D
Is there a transformation that maps shape l onto shape V? Explain your answer.
(Plzzz someone help with this)
Answer:
Step-by-step explanation:
A). Yes. If we rotate shape I by 90° clockwise about the origin shape I will overlap shape II.
Coordinates of one point of figure I are A(-1, 3).
After rotation 90° clockwise,
(x, y) → (y, -x)
Following this rule,
A(-1, 3) → A'(3, 1)
It clearly states that figure I will overlap figure II.
B). No. because length of the quadrilateral I is different from the length of the quadrilateral given in figure III while width are same.
Both are different quadrilaterals.
C). Yes. If the figure I is reflected over x-axis, we get figure III.
D). Yes. By the translation of figure I by 3 units right and 4 units down we get image figure V.
Rule followed for the translation,
(x, y) → (x+3, y-4)
Solve the equation,
m + 55 +1 = m
=
Steps to solve:
m + 55 + 1 = m
~Simplify
m + 56 = m
~Subtract m to both sides
56 = 0
No solution
Best of Luck!
Answer:
no solution
In-depth explanation:
Hi there, let's solve this equation.
For now, I will focus on the left side & combine the like terms:
[tex]\tt{m+55+1=m}[/tex]
[tex]\tt{m+56=m}[/tex]
Subtract 56 from each side:
[tex]\tt{m=m-56}[/tex]
Subtract m from each side:
[tex]\tt{m-m=-56}[/tex]
[tex]\tt{0=-56}[/tex]
Therefore, the equation has no solution.
Which two operations are needed to write the expression that represents “eight more than the product of a number and two”?
Answer:
c
Step-by-step explanation:
At the beginning of the year, Ivanhoe Company had total assets of $715,000 and total liabilities of $258,000. Answer the following
independent questions.
(a) If total assets increased $145,000 during the year and total liabilities decreased $83,000, what is the amount of owner's equity at
the end of the year?
Owner's equity
$
Answer:$685000
Step-by-step explanation:
Add the total asset withe increased asset. Subtract the decreased liability by the total Liability. Subtract both of the answers.
A student dropped a textbook from the top floor of his dorm and it fell according to the formula s(t) = −16t 2 + 8√t , where t is the time in seconds and s(t) is the distance in feet from the top of the building.What was the average speed of the fall? Use the fact that the pencil hit the ground in exactly 2.8 seconds. Round your answer to 2 decimal places.
Answer:
-29.61m/sStep-by-step explanation:
Given the distance of fall of the student in term of the time t expressed by the equation s(t) = −16t² + 8√t, to get the average speed of fall of the pencil after 2.8 secs, we will need to differentiate the given function first since Velocity is the change in distance of a body with respect to time i.e
V = d(s(t))/dt
s(t) = −16t² + 8t^1/2
V = -32t+1/2(8)t^(1/2 - 1)
V = -32t+4t^-1/2
The average speed of the fall Using the fact that the pencil hit the ground in exactly 2.8 seconds, will be gotten by substituting t = 2.8 into the resulting equation.
V = -32t+4(2.8)^-1/2
V = -32t+4/√2.8
V = -32+4/1.6733
V = -32+2.391
v = -29.61m/s
Hence the average speed of the fall is -29.61m/s
The average speed of the fall is -29.61m/s
Calculation of the average speed:[tex]V = d(s(t))\div dt\\\\s(t) = −16t^2 + 8t^{1/2}\\\\V = -32t+1/2(8)t^{(1/2 - 1)}\\\\V = -32t+4t^{-1/2}[/tex]
Now here t = 2.8 seconds
So,
[tex]V = d(s(t))\div dt\\\\s(t) = −16t^2 + 8t^{1/2}\\\\V = -32t+1/2(8)t^{(1/2 - 1)}\\\\V = -32t+4t^-1/2[/tex]
V = -32+2.391
v = -29.61m/s
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What is the value of X
Answer:
x = 7
Step-by-step explanation:
The 2 angles add up to 180°, as the definition of a line.
8x - 46 + 10x - 8 = 180
18x - 54 = 180
18x = 126
x = 7
Solve the equation. Check the solution. 8 - 6x - 5 - 4x = 5 Type an integer or a simplified fraction
Answer:
x = -0.2
Step-by-step explanation:
In this problem, an equation is given as follows :
8- 6x - 5 - 4x = 5
We need to solve the above equation
Taking like terms together:
-6x-4x=5+5-8
-10x=2
x = -0.2
So, the value of x is -0.2.
3n-5=-8(6+5n) in distributive property
Answer:
n=-1
Step-by-step explanation:
3n-5=-8(6+5n)
3n-5=-48-40n
add 40n to both sides
43n-5=-48
n=-1
Using distributive property we can expand the expression as
3n - 5 = -8 x 6 + (-8) x 5n
To apply the distributive property to the equation
3n - 5 = -8(6 + 5n), we need to distribute the -8 to the terms inside the parentheses.
Using the distributive property, we have:
3n - 5 = -8 x 6 + (-8) x 5n
Simplifying further:
3n - 5 = -48 - 40n
Now, we can continue solving the equation using the simplified form as
3n + 40n = -48 + 5
43n = -43
n= -1.
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Resolve the vector into components. 1. A vector starting at the point Q = (4, 6) and ending at the point P = (1, 2).
2. A vector starting at the point P = (1, 2) and ending at the point Q = (4, 6).
Answer:
1. Horizontal component = -3 units
Vertical component = -4 units
2. Horizontal component = 3 units
Vertical component = 4 units
Step-by-step explanation:
If a vector M, starting at point A = (a, b) and ending at point B = (c, d) is given, then the vector can be resolved into x and y components as follows;
M = AB
Where;
AB = B - A
AB = (a, b) - (c, d)
AB = (a-c, b-d)
AB = (a-c)i + (b-d)k
Therefore, a-c and b-d are the x and y components of the vector M.
(1) Let the vector be M:
Starting point of M = Q = (4, 6)
Ending point of M = P = (1, 2)
So,
M = PQ
Where;
PQ = Q - P
PQ = (1,2) - (4,6)
PQ = (1-4, 2-6)
PQ = (-3, -4)
Therefore,
M = PQ = -3i - 4j
The x and y components of M are therefore, -3 and -4 respectively.
(2) Let the vector be M:
Starting point of M = P = (1, 2)
Ending point of M = Q = (4, 6)
So,
M = PQ
Where;
PQ = Q - P
PQ = (4,6) - (1,2)
PQ = (4-1, 6-2)
PQ = (3, 4)
Therefore,
M = PQ = 3i + 4j
The x and y components of M are therefore, 3 and 4 respectively.
Note: The x and y components are also called the horizontal and vertical components respectively.
write the sentence as an equation
c equal the product of n and 177 reduced by 314
Answer:
c = 177n - 314
Step-by-step explanation:
c = 177n - 314
Bea earned $11,700 commission for selling a house, calculated as 6/100 of the selling price. What was the selling price of the house?
Answer:
195,000
Step-by-step explanation:
11,700=6/100p
11,700* 100/6=100/6*6/100p
p=195,000
Graph y = – 3x + 6 using the interactive graphing calculator. Which of the following statements are true?
The line increases from left to right.
The line crosses the x-axis at –3.
The line crosses the y-axis at 6.
As the input increases, the output decreases.
The line does not enter quadrant II at all.
The point (3.5, –4.5) lies on
The correct statement is line crosses the y-axis at 6 and the input increases, the output decreases.
It is required to choose the following statements are true.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers
Given:
The given line equation are
y=-3x+6
We have to find the which statement is true.
The line crosses the y-axis at 6.
As the input increases, the output decreases.
Therefore, the correct statement is line crosses the y-axis at 6 and the input increases, the output decreases.
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The graph of the equation is y = -3x + 6 and is plotted
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = -3x + 6
where the slope of the line is m = -3
Now , The line crosses the y-axis at 6:
True. To find the y-intercept, we set x = 0 and solve for y: y = -3(0) + 6. This gives y = 6. Therefore, the line crosses the y-axis at y = 6.
As the input increases, the output decreases:
True. Since the coefficient of x is negative, as x increases, the output y decreases.
Hence , the equation of line is solved
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A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a Jack or a Club.
Answer:
3/13 or 23.1%
Step-by-step explanation:
What is the value of x in the proportion ?
Answer:
Step-by-step explanation:
1.5x = 9/4 x 18/5
1.5x = 81/10
1.5x = 8.1
x = 5.4 = 5 2/5
Choice #2 is the option
How long will it take to walk 6 km if your speed is 2.0 km/hr
Answer:
3 hrs
Step-by-step explanation:
6/2=3 so 3 hours
m and n are both integers. Select all the statements that are true if m and n are also equal to each other.
m-n=n-m
m+ (n) = m-n
o= m-n
m + n = 0
Answer:
a,c
Step-by-step explanation:
Imagine a spherical cell with a radius of 10 pm. What is the cells surface area in pm2? Its volume, in pm3? What is the ratio of surface area to volume for this cell? Now do the same calculations for a second cell, this one with a radius of 20 pm. Compare the surface-to-volume ratios of the two cells. How is this comparison significant to the functioning of cells? (Note. For a sphere of radius r, surface area = 4rcr2 and volume = rrr3. Remember that the value of it is 3.14.)
Answer:
comparing the two cells, we can see that the surface area to volume ratio gets smaller as the cell gets bigger, making it harder for optimum amount of material that is needed to sustain the cell to cross the cell membrane. If a cell should grow beyond a certain limit, enough material will not be able to cross the membrane to nourish the cellular volume.
Step-by-step explanation:
For the cell with radius r = 10 pm
The surface area is from the area of a sphere
Area A = [tex]4\pi r^{2}[/tex]
A= 4 x 3.14 x [tex]10^{2}[/tex] = 1256 pm^2
volume is calculated from the volume of a sphere
Volume V = [tex]\frac{4}{3}\pi r^3[/tex]
V = [tex]\frac{4}{3}[/tex] x 3.14 x [tex]10^{3}[/tex] = 4186.67 pm^3
Ratio of surface area to volume = 1256/4186.67 = 0.29
For the second cell with radius r = 20 pm
The surface area of the cell is
A = [tex]4\pi r^{2}[/tex] = 4 x 3.14 x [tex]20^2[/tex] = 5024 pm^2
Volume = [tex]\frac{4}{3}\pi r^3[/tex] = [tex]\frac{4}{3}[/tex] x 3.14 x [tex]20^{3}[/tex] = 33493.3 pm^3
Ratio of surface area to volume = 5024/33493.3 = 0.15
comparing the two cells, we can see that the surface area to volume ratio gets smaller as the cell gets bigger, making it harder for optimum amount of material that is needed to sustain the cell to cross the cell membrane. If a cell should grow beyond a certain limit, enough material will not be able to cross the membrane to nourish the cellular volume.
The perimeter of a rectangular concrete slab is 106 feet and its area is 570 square feet. What is the length of the longer
side of the slab?
Answer:
The length of the long side of the rectangle is 38 ft.
Step-by-step explanation:
If we test out all possible factors, we will see that 15 x 38 is the most fitting.
Perimeter: 15 + 15 + 38 + 38 = 106 ft.
Area: 15 x 38 = 570 square ft.
38 ft. is the measurement of the long side and 15 ft. is the measurement of the smaller side.
Answer:
38 Feet is the simple answer
Step-by-step explanation:
hope i helped
Use area models to multiply
Answer:
195
Step-by-step explanation:
13*15=195
§
A scuba diver is 4 2/3 feet below the
surface of the water. She then dives another 2 1/2 feet. How far below the surface of the water is the scuba diver.
Answer:
-7 1/6
Step-by-step explanation:
it wants to know how far BELOW the sea level she is so you take both of the factions and add them -4 2/3 + -2 1/2 = -7 1/6
The ratio of cars in a parking lot is 8 to 5 trucks. There are 25 trucks in the parking lot. How many total cars and trucks are in the parking lot?
A researcher performed an experiment with two groups. She found the difference of the means for each group. Then she combined the groups, chose two new groups, and found the difference between the means of those new groups. She repeated this process 200 times. The normal distribution of the difference in the means she found is given below. How great would the difference in means between the first two groups have to be in order to considered significant? -At least 7 -At least 8 -At least 9 -At least 10
Answer:
at least 10
Step-by-step explanation:
because i cant explain it.
Answer:
2 standard deviations above the mean is significant
Step-by-step explanation:
Which of these is not a factor you need to consider when choosing a bank?
a. The number of ATM machines
b. Branch locations
c. How often you need access to your money
d. The amount of money you paid in income taxes last year
Answer:
A, B, and C all deal directly with the bank. While D does not deal with your bank it is a personal finance question that would NOT change your banking. So the correct answer would be D
Step-by-step explanation:
The amount of money you paid in income taxes last year.
What do you mean by the bank?Bank, is an institution that deals in money and its substitutes and provides other money-related services. In its role as a financial intermediary, a bank accepts deposits and makes loans.
What are the types of banks?A bank is a financial institution licensed to receive deposits and make loans. Banks may also provide financial services such as wealth management, currency exchange, and safe deposit boxes. There are several different kinds of banks including retail banks, commercial or corporate banks, and investment banks.
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