you rented a sedan for 45.5 per day and unlimited miles. you paid a cdw fee of $21.20 per day. your total rental cost was 662.60. she spend 12 for gasoline and her total cost per mile was 0.89
Answers
The total number of miles driven must have been rounded up to 472 miles.
What is cost?
Cost refers to the amount of money or resources required to produce or acquire a product or service.
What is mile?
A mile is a unit of length commonly used in the United States and other countries that measures approximately 1.609 kilometers or 5,280 feet.
According to given information:We can start by subtracting the CDW fee from the total rental cost to find the cost of the rental car without insurance:
Total rental cost - CDW fee = Cost of rental car
662.60 - (21.20 x number of rental days) = Cost of rental car
We don't know the number of rental days, so let's call it "d":
662.60 - (21.20 x d) = Cost of rental car
We also know the daily cost of the sedan rental, which is $45.50 per day. So the total cost of the rental car (without insurance) is:
Cost of rental car = (daily cost of sedan rental x number of rental days)
Cost of rental car = 45.5d
Now we can substitute this expression for "Cost of rental car" in the first equation:
662.60 - (21.20 x d) = 45.5d
Simplifying this equation gives us:
662.60 = 66.70d
Dividing both sides by 66.70 gives us:
d = 9.941
So the number of rental days must have been rounded up to 10.
Now we can calculate the cost per mile:
Total cost - Gas cost - CDW fee = Cost of rental car
662.60 - 12 - (21.20 x 10) = Cost of rental car
419.40 = Cost of rental car
The cost of the rental car was $419.40, and we know from the problem that the rental was unlimited mileage. So we can divide the cost of the rental by the total number of miles driven:
Cost per mile = Cost of rental car / Total miles driven
Cost per mile = 419.40 / (10 x unlimited miles)
The denominator "10 x unlimited miles" can be simplified to just "unlimited miles," since multiplying by 10 doesn't change the fact that it's unlimited. So the cost per mile is:
Cost per mile = 419.40 / unlimited miles
We also know that the cost per mile was $0.89. So we can set up an equation:
419.40 / unlimited miles = 0.89
Multiplying both sides by "unlimited miles" gives us:
419.40 = 0.89 x unlimited miles
Dividing both sides by 0.89 gives us:
unlimited miles = 471.01
So the total number of miles driven must have been rounded up to 472 miles.
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Related Questions
Pls help Im so confused
Answers
The height of the building is 92.52 ft
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
Using law of sines:
first angle A:
sum of all angles in a triangle = 180 degree
A+B+C = 180
A+90+55 = 180
=> A+145 =180
=> A= 180 - 145 = 35 degrees
Use:
AB= c, BC=a
(sin A)/a = (sin C)/c
=> (sin 35)/40= (sin 55)/c
=> -0.4281/40= -0.99/c
=> 0.0107 = 0.99/c
=> c= 0.99/0.0107 = 92.52 ft
The height of the building is 92.52 ft
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awnser the qusetion 9iu523hb5hn33
Answers
The order of the matrices of each product is given as follows:
AB is nonexistent, BA is nonexistent.
How to apply multiplication of matrices?Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.
For the product AB, we have that:
A has four columns.B has two rows.Hence the product is nonexistent.
For the product BA, we have that:
B has four columns.A has two rows.Hence the product is nonexistent.
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Find x. (show work)
What type of triangle is it?
Answers
The value of x in chords is 25.857 and this is a isosceles triangle.
Describe Chords?In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.
The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:
(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180
Simplifying and solving for x, we get:
7x - 1 = 180
7x = 181
x = 25.857
Therefore, x is approximately equal to 25.857.
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Does coordinates s or coordinate t represent a greater number in the following
parallelogram?
(-2,3)
(s, -1)
(0, -1)
(t, 3)
Answers
Thus, t has a greater value than s for the co-ordinates (s, -1) and (t, 3).
How to analyze points of an axis for a two dimensional entity?
We can use the fact that both points on the x-axis to compare the values of s and t for the provided parallelogram. As a result, each point that is closest to the x coordinate reflects a higher value than its equivalent counterparts.
Given, the co-ordinates of the parallelogram are: (-2, 3), (s, -1), (0, -1),
(t, 3).
Also, the co-ordinates of the parallelogram are also shown in the figure below.
To compare for the values of s and t for the given parallelogram,
we can analyze that both s and t represent points on the x-axis, therefore any point that stands rightmost with the x co-ordinate represents a higher value than the corresponding counterparts.
Therefore, t has a greater value than s for the co-ordinates (s, -1) and (t, 3), since t is on the right side from s.
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Please solve with explanation (10 points)
Answers
Answer:
Question (a)
\(x^2-a^2-bx-ab=0\)
Write in standard form \(ax^2+bx+c=0\):
\(\implies x^2-bx-(a^2+ab)=0\)
Therefore,
\(a=1\)\(b=-b\)\(c=-(a^2+ab)\)Using quadratic formula:
\(x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\)
\(\implies x=\dfrac{b\pm\sqrt{(-b)^2+4(1)(a^2+ab)} }{2(1)}\)
\(\implies x=\dfrac{b\pm\sqrt{b^2+4a^2+4ab} }{2}\)
\(\implies x=\dfrac{b\pm\sqrt{(b+2a)^2} }{2}\)
\(\implies x=\dfrac{b \pm (b+2a)} {2}\)
\(\implies x=\dfrac{2b+2a} {2}=b+a\)
\(\implies x=\dfrac{-2a} {2}=-a\)
Question (b)
\(6x^2-15ax=2bx-5ab\)
Write in standard form \(ax^2+bx+c=0\):
\(\implies 6x^2-15ax-2bx+5ab=0\)
\(\implies 6x^2-(15a+2b)x+5ab=0\)
Therefore,
\(a=6\)\(b=-(15a+2b)\)\(c=5ab\)Using quadratic formula:
\(x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\)
\(\implies x=\dfrac{(15a+2b)\pm\sqrt{(-15a-2b)^2-4(6)(5ab)} }{2(6)}\)
\(\implies x=\dfrac{(15a+2b)\pm\sqrt{225a^2+60ab+4b^2-120ab} }{12}\)
\(\implies x=\dfrac{(15a+2b)\pm\sqrt{225a^2-60ab+4b^2} }{12}\)
\(\implies x=\dfrac{(15a+2b)\pm\sqrt{(15a-2b)^2} }{12}\)
\(\implies x=\dfrac{(15a+2b) \pm (15a-2b) }{12}\)
\(\implies x=\dfrac{30a }{12}=\dfrac52a\)
\(\implies x=\dfrac{4b}{12}=\dfrac13b\)
Question (c)
\(\dfrac{x^2}{x-1}=\dfrac{a^2}{2a-4}\)
Cross multiply:
\(x^2(2a-4)=a^2(x-1)\)
Write in standard form \(ax^2+bx+c=0\):
\((2a-4)x^2-a^2x+a^2=0\)
Therefore,
\(a=(2a-4)\)\(b=-a^2\)\(c=a^2\)Using quadratic formula:
\(x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\)
\(\implies x=\dfrac{a^2\pm\sqrt{(-a^2)^2-4(2a-4)(a^2)} }{2(2a-4)}\)
\(\implies x=\dfrac{a^2\pm\sqrt{a^4-8a^3+16a^2} }{4a-8}\)
\(\implies x=\dfrac{a^2\pm\sqrt{a^2(a-4)^2} }{4a-8}\)
\(\implies x=\dfrac{a^2\pm a(a-4)}{4a-8}\)
\(\implies x=\dfrac{a^2\pm (a^2-4a)}{4a-8}\)
\(\implies x=\dfrac{2a^2-4a}{4a-8}=\dfrac{2a(a-2)}{4(a-2)}=\dfrac12a \ \ \ (a\neq 2)\)
\(\implies x=\dfrac{4a}{4a-8}=\dfrac{a}{a-2} \ \ \ \ (a\neq 2)\)
Answer the question fast it’s not an assignment or timed or none of that
Answers
Answer:
2 pounds
Explanation:
The charge for both companies are modeled by the functions below:
• Company A: y=2x+3
,• Company B: y=1.5x+4
When the charge of the two companies is the same, then:
\(2x+3=1.5x+4\)The equation is then solved for x:
\(\begin{gathered} 2x+3=1.5x+4 \\ \text{Subtract 3 from both sides} \\ 2x+3-3=1.5x+4-3 \\ 2x=1.5x+1 \\ \text{Subtract }1.5x\text{ from both sides} \\ 2x-1.5x=1.5x-1.5x+1 \\ 0.5x=1 \\ \text{ Divide both sides by }0.5 \\ \frac{0.5x}{0.5}=\frac{1}{0.5} \\ x=2 \end{gathered}\)The weight at which the charge in the two companies is the same is 2 pounds.
Answer:
2 Pounds aka D
Step-by-step explanation:
2. Increasing the minimum wage has not traditionally caused massive unemployment though traditional economists have argued that it should. Why have changes to minimum wage not affected unemployment too much?
3. The US has one of the lowest federal minimum wages compared to other developed nations. Can you think of reasons why this might be?
4. The real minimum wage has fallen over time with the rise of inflation. This represents less purchasing power for minimum wage workers. Are you ok with that? Why or why not? How many people actually earn at or near minimum wage?
Answers
Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.
There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.
I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.
According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.
~~~Harsha~~~
3. One reason why the US has one of the lowest federal minimum wages compared to other developed nations is because of the country's historical emphasis on individualism and free-market capitalism. Many Americans believe that the government should not interfere too much in the economy and that wages should be determined by market forces rather than government regulations. Additionally, some argue that a higher minimum wage would lead to higher prices and inflation, which could hurt the economy as a whole.
4. it could be argued that a falling real minimum wage represents a failure of the system to provide for the basic needs of its citizens. Minimum wage workers may struggle to make ends meet, which can lead to a host of social and economic problems. In terms of the number of people who earn at or near minimum wage, this varies by location and industry, but it is estimated that around 2.3% of US workers earn the federal minimum wage or less.
during a single day at radio station WMZH,the probability that a particular song is played in 3/8.what is the probability that this thing will be played on exactly 2 days out of 3 days ?round to your nearest thousandth
Answers
The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.
To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.
The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.
In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.
Using the formula, we have:
P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)
C(5, 2) = 5! / (2! * (5-2)!) = 10
P(2) = 10 * (3/8)^2 * (5/8)^3
P(2) ≈ 0.164 (rounded to three decimal places)
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Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 46 days and a standard deviation of 10.5 days. Find the probability that a simple random sample of 49 protozoa will have a mean life expectancy of 47 or more days.
a) 0.7475
b) 0.5379
c) 0.4525
d) 0.2525
e) 0.5050
Answers
0.2525 is the probability that a simple random sample.
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. Probability is a measure of how likely or likely-possible something is to happen.
Since the distribution of the life expectancies of a certain protozoan is normal, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancies of the certain protozoan.
µ = mean
σ = standard deviation
n = number of samples
From the information given,
µ = 46 days
σ = 10.5 days
n = 49
The probability that a simple random sample of 49 protozoa will have a mean life expectancy of 47 or more days is expressed as
P(x ≥ 47) = 1 - P(x < 47)
For x = 47
z = (47 - 46)/(10.5/√49) = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.0.75
P(x ≥ 47) = 1 - 0.75 = 0.25
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Work out the perimeter of this quarter circle.
Take to be 3.142 and write down all the digits given by your calculator.
4 cm
Answers
Step-by-step explanation:
Where's the calculator
Then P = (2 x π x 4)/4 + 2 x 4 = 2 x 3.142 + 8 = 14.284 cm
1. Find a markdown of 1/9 on $450?
2. 15 is what percent of 60?
3. 124% of 10 represents a certain number. What is that number?
Answers
Step-by-step explanation:
1. 1/9 of 450
of is multiply
1/9 × 450
= ???
2. 15/60 = decimal number
change number to percentage = ???
I dont know what 3 is
put answers to 1 and 2 in comments i will mark if u don't understand comment
please mark brainiest
Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
Answers
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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Question 1 of 10
What is the solution to this equation?
9x - 4(x - 2) = x + 20
A. X = 3
B. X = 7
C. X = -7
D. X = -3
Answers
Step-by-step explanation:
daddgeyeyeyeye daddd daddy safdad papap
9(3)-4(3-2)=3+23
23=23
5/7x = 365 what is x?
Answers
Answer:
511
Step-by-step explanation:
Multiply both sides by 7/5
Answer:x=511
Step-by-step explanation:
Step 1: Multiply both sides by 7/5.
(7/5)*(5/7x)=(7/5)*365
X=511
ILL GIVE A BRAINLIEST TO WHOEVER HELPS!!
Answers
Answer:
10x^2-4x+6??????????
Answer:
10x^2-4x+6
Step-by-step explanation:
Multiply the length and width and you will get 2*(5x^2-2x+3) = 10x^2-4x+6!
Help I don’t get this!!
Answers
Answer:
a. 0 + 0
b. -1 + 1
c. -0.35 + 0.35
These all equal zero, hope this helps you.
Plz, answer. Will mark brainiest. Please! 50 points!!!
Answers
Answer:
12%
Step-by-step explanation:
Original = $874,990
New = $769,991
874,990 - 769,991/874,990
104,999/874,990
0.12
Turn to percentage
0.12 * 100
= 12%
Answer:
12%
Step-by-step explanation:
Given:
Original list price = $874,990New list price = $769,991Percent change formula
\(\sf percent\:change=\left|\dfrac{final\:value-initial\:value}{initial\:value} \right|\times 100\)
Substitute the given values into the formula:
\(\begin{aligned}\implies \sf percent\:decrease & = \sf \left|\dfrac{769991-874990}{874990} \right|\times 100\\& = \sf 0.1200002286 \times 100\\& = \sf 12.00002286... \\& = \sf 12\% \end{aligned}\)
Therefore, the Percent of Decrease (markdown) to the nearest percent is 12%.
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
Answers
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
Answers
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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Fill in the blanks so that the solution of the system is (5, 5).
x + y = −5
y = −x +
Answers
The requried complete system of equation is given as -2x + y = -5 and y = -x + 10.
What is a system of the simultaneous equations?A system of simultaneous equations, also known as a system of equations, is a set of two or more equations that must be solved at the same time. In a system of two equations, for example, the solution is the set of values of the variables that satisfy both equations simultaneously.
Here,
Given equation are
_x + y = −5 - -- - - -(1)
y = −x + _ - - - - - (2)
Now,
Let the coefficient of x in equation 1 is m and the intercept of equation 2 be y,
In equation 1,
Put the given points (5, 5)
m(5) + 5 = - 5
5m = -10
m = -2
Now,
Put the same point equation 2 with C
5 = -5 + C
C = 10
Thus, the requried complete system of equation is given as -2x + y = -5 and y = -x + 10.
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which of the following best describes the graph below?
plssss help!!
Answers
rate 5 starts
Given this recursive rule an = an-1 + 6
where your a1 = -13
find the next 4 terms in this sequence. Show your work
Answers
Step-by-step explanation:
a1 = -13
since an = an-1 + 6, we get
a2 = a1 + 6 = -13 + 6 = -7
a3 = a2 + 6 = -7 + 6 = -1
a4 = a3 + 6 = -1 + 6 = 5
a5 = a4 + 6 = 5 + 6 = 11
Suppose X ~ N(4, 2). What value of x is two standard deviations to the right of the mean?
Answers
By applying the Empirical Rule, the value of x is equal to: A. 8.
What is the Empirical Rule?The Empirical Rule is also known as the 68-95-99.7 rule and it simply refers to a statistical rule which states that the middle 95% of a normal distribution would be within two (2) standard deviations of its mean.
This ultimately implies that, 95% of a normal distribution would fall within two (2) standard deviations of its mean in accordance with the Empirical Rule.
By applying the Empirical Rule, the value of x is given by:
x = μ + 2σ
Substituting the given points into the formula, we have;
x = 4 + 2(2)
x = 4 + 4
x = 8.
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Complete Question:
Suppose X ~ N(4, 2). What value of x is two standard deviations to the right of the mean?
8
10
7
6
It's in the picture !
Answers
The position of √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.
What is Number line?A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.
Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.
The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.
If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:
To begin, determine the approximate square root values:
√17 is between 4 and 5, since 4² = 16 and 5² = 25.
√6 is between 2 and 3, since 2² = 4 and 3² = 9.
Place the number √17 closer to 5, between 4 and 5.
Place the number √6 between the numbers 2 and 3, closer to 2.
Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.
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Number line attached below,
Write 3log7x-4log7y as a single logarithm.
Answers
Answer:
\(3\log7x - 4\log7y = log(\frac{x^3}{7y^4} )\)
Step-by-step explanation:
The given logarithm can be re-written as:
\(\log(7x)^3 - log(7y)^4\)
For the power property:
\(\log_ba^c = c\log_ba\)
Know for the quotient property you get:
\(log_ba - log_bc = log(\frac{a}{c} )\)
\(\log{\frac{(7x)^3}{(7y)^4} } =\log{\frac{7^3x^3}{7^4y^4} } =\log{\frac{x^3}{7y^4} }\)
so the final answer is \(\log{\frac{x^3}{7y^4} }\)
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.
4x + y2 = 32, x = yFind the area of the region.
Answers
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Raghu purchased 234
pounds of rice. Belle purchased 54
as much as Raghu.
Complete the statement below to estimate how many pounds of rice Belle purchased.
CLEAR CHECK
Belle purchased about
pounds of rice.
I know this because
is
1
.
Answers
By fraction method, 55/16 pounds of rice Belle purchased.
In math, what is a fraction?
Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.
Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.
= 2 3/4 * 5/4
= 5/4 * 2 + 5/4 * 3/4
= 5/2 + 5/4 * 3/4
= 5/2 + 15/ 4 * 4
= 5/2 + 15/16
common denominator and write the numerators above common denominator = 5 *8/16 + 15/16
= 40/16 + 15/16
= 40 + 15/16
= 55/16
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using the absolute value of each account balance to determine which account has the greater overdrawn amount here's a picture of the accounts and the balance of each. I don't understand
Answers
15)
Given:
Balance in account A=-$5.42.
Balance in account B=-$35.76.
Taking the absolute value of the account balance, we get the magnitude of the overdrawn amount.
Hence, the magnitude of the overdrawn amount in account A is,
\(|-5.42|=5.42\)The magnitude of the overdrawn amount in account B is,
\(|-35.76|=35.76\)Since the magnitude of the overdrawn amount is greater for account B, account B has the greater overdrawn.
16)
Balance in Account A=-$6.47.
Balance in Account B=-$2.56.
\(\begin{gathered} |-$6.47|=6.47$ \\ |-2.56|=2.56 \end{gathered}\)Since the absolute value of balance in account A is greater, account A has greater overdrawn.
17)
Balance in Account A=-$32.56.
Balance in Account B=-$29.12.
\(\begin{gathered} |-$32.56|=32.56$ \\ |-29.12|=29.12 \end{gathered}\)Since the absolute value of account A is greater, account A has greater overdrawn.
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What is the length of LJ?
A) 23.0
B) 17.0
C) 4.7
D) 3.5
Answers
The the length of LJ is approximately 3.5.OptionD) is correct.
How to find the length of LJ?To find the length of LJ, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.
Let's denote the length of JL as x. Then, we can set up the following proportion:
sin(23°) / LJ = sin(89°) / KL
where KL is given as 9.
We can simplify this proportion by using the fact that sin(89°) = cos(1°) (since the sine of the complement of an angle is equal to the cosine of the angle), and by using a calculator to find the values of sin(23°) and cos(1°):
0.3919 / LJ = 0.0175 / 9
Multiplying both sides by x and then dividing both sides by 0.0175, we get:
LJ = 0.3919*9/ 0.0175
x ≈ 3.5
Therefore, the length of LJ is approximately 3.5.OptionD) is correct.
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multiply. express your anwser in simplist form.. 1 7\8 × 2 1\3
Answers
Answer:
If not simplified 35/8 if simplified 4 and 3/8.
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