Answer: the ratio is 1.13
Step-by-step explanation:
The ratio of non-black sedans to black sedans is 40/31, as of the given condition.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The total number of sedans in the parking lot is,
496 black sedans + 640 non-black sedans = 1136 sedans.
The ratio of non-black sedans to black sedans can be found by dividing the number of non-black sedans by the number of black sedans:
Ratio = 640 non-black sedans / 496 black sedans
Ratio = 640/496
Ratio = 40/31
So, the ratio of non-black sedans to black sedans is 40/31.
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4(x+5)-2x/3 when x=6
Number between 300 and 350
Answer: 314
Step-by-step explanation: I am not sure what this question is asking me to do, but a number between 300 and 350 is 314, if that helps.
Kane’s furniture store advertising table at 6% discount. The original selling price was $106, and the sale price was $100. What is your price consistent with the ad? Explain.
hmmm ok, so the advertisement says that original price is 106 and is on a 6% discount, ok, how much will that be?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 106}}{\left( \cfrac{6}{100} \right)106}\implies 6.36[/tex]
so, if the item is discounted by 6%, that'd be then 106 - 6.36 = 99.64, but they are saying they have it for 100? something fishy is going on.
Can I get helped with the following attachment
Maybe someone can give you answer if you also include the data table for them to calculate
Write an expression to represent: 9 more than the quotient of 2 and x
Expression for given numerical is: 9+ (2/x)
Given that we have an word equation that is 9 more than the quotient of 2 and x
A quotient is a quantity produced by the division of two numbers.
Quotient of 2 and x is [tex]\frac{2}{x}[/tex].
Nine(9) more than 2/x is = 9+ (2/x)
So we have an expression that is:
9+ (2/x)
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Kadeesha is going to a carnival that has games and rides. Each game costs $2.50 and each ride costs $4.75. Kadeesha spent $48.75 altogether at the carnival and the number of games she played is twice the number of rides she went on. Write a system of equations that could be used to determine the number of games Kadeesha played and the number of rides Kadeesha went on. Define the variables that you use to write the system.
Taking into account the definition of a system of linear equations, the system of equations that could be used to determine the number of games Kadeesha played and the number of rides Kadeesha went on is:
[tex]\left \{ {{2.50G+4.75R=48.75} \atop {G=2R}} \right.[/tex]
where G is the number of games Kadeesha played and R is the number of rides Kadeesha went on.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns give the solution proposed in both equations.
System of equations in this caseIn this case, a system of linear equations must be proposed taking into account that:
G: number of games Kadeesha played.R: number of rides Kadeesha went on.On the other hand, you know:
Each game costs $2.50 and each ride costs $4.75. Kadeesha spent $48.75 altogether at the carnival. The number of games she played is twice the number of rides she went on.So, the system of equations to be solved is
[tex]\left \{ {{2.50G+4.75R=48.75} \atop {G=2R}} \right.[/tex]
Among the different existing methods to solve the system of equations, it is decided to solve it using the substitution method. This method consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, substituting the second equation in the first one you get:
2.50×2R+4.75R=48.75
Solving:
5R+4.75R=48.75
9.75R=48.75
R= 48.75÷ 9.75
R= 5
Remembering that G=2R, you obtain that G=2×5= 10
In summary, the system of equations that could be used to determine the number of games Kadeesha played and the number of rides Kadeesha went on is:
[tex]\left \{ {{2.50G+4.75R=48.75} \atop {G=2R}} \right.[/tex]
where G is the number of games Kadeesha played and R is the number of rides Kadeesha went on.
Finally, the number of games played is 10 while the number of rides she went on is 5.
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A university wants to know more about the knowledge of students regarding international events. They are concerned that their students are uninformed regarding news from other countries. A standardized test is used to assess students’ knowledge of world events (national reported mean= 65, S = 5). A sample of 30 students is tested (sample mean=58, Standard Error=3.2). Compute a 99 % confidence interval based on this sample data. How do these students compare to the national sample?
A university wants to know more about the knowledge of students regarding international events. They are concerned that their students are uninformed regarding news from other countries. A standardized test is used to assess students’ knowledge of world events (national reported mean= 65, S = 5). A sample of 30 students is tested (sample mean=58, Standard Error=3.2). Compute a 99 % confidence interval based on this sample data. How do these students compare to the national sampl
:Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force. In fact, in classical Newtonian mechanics, there is no important distinction between rest and uniform motion in a straight line; they may be regarded as the same state of motion seen by different observers, one moving at the same velocity as the particle and the other moving at constant velocity with respect to the particle. This postulate is known as the law of inertia.
10x-15=15x+50 ise x kaçtır?
Point K is between Points J and L. KL = 9x + 2, KJ = 5x 8 and JL= 12x. Find KL.
The length of KL is 35 units
How to determine the length KL?The given parameters are:
Point K is between Points J and L. KL = 9x + 2, KJ = 5x 8JL= 12x.The above means that
JL = JK + KL
So, we have
5x - 8 + 9x + 2 = 12x
Evaluate the like terms
2x = 6
Divide by 2
x = 3
Substitute x = 3 in KL = 9x + 2,
KL = 9 x 3 + 8
Evaluate
KL = 35
Hence, the length of KL is 35 units
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find the distance between the two points in simplest radical form. (-2,1) and (-8,-7)
Answer:
10
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]
Write 8,350,000,000 in scientific notation.
8.35 × 10−9
8.35 × 109
835 × 10−7
835 × 107
When the number, 8,350,000,000 is written in scientific notation, it would be 8.35 × 10⁹.
How to write in scientific notation?When you write in scientific notation, you would be reducing a number from having any number of digits to the left of the decimal to the number having a single digit to the left of the decimal.
You would then multiply it by 10 raised to the power of the number of digits that were before the decimal which are now after it.
In this case, 8,350,000,000 in scientific notation would be:
= 8.35 × 10⁹
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Sharon deposits $8,000 in a 1-year CD at 2% interest, compounded daily.
What is Sharon's annual percentage yield (APY) to the nearest hundredth of a
percent?
Sharon's annual percentage yield (APY) to the nearest hundredth of a
percent is; 2.02%
How to calculate annual percentage yield (APY)?
We are told that;
Amount Deposited = $8000
Interest = 2%
Using the formula for annual percentage yield (APY), we have;
B = 8000 + (1 + (0.02/365))³⁶⁵⁽¹⁾
B = $8161.61
Interest is;
I = $8161.61 - $8,000
I = $161.61
Thus;
APY = 161.61/8000
APY = 0.0202
APY = 2.02%
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There are 9 lions there are fewer cubs than lions how many fewer cubs are there ?
Number of cubs are less than 9.
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.
NO. OF LIONS = 9
Cubs are fewer than 9
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Translate the sentence into an equation.
Five times the sum of a number and 3 equals 7.
Use the variable x for the unknown number.
Answer:
5(x+3) = 7
Step-by-step explanation:
5(x+3) = 7
If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=0, what is the exact measure of θ?
Step-by-step explanation:
y of o but you dont have to use y
when x=6 and y=3, which of the expressions below will be greater than 100?
Answer:6 will be greater
Step-by-step explanation:
A=bh;A=5,h=5
HELP ME
Answer:
b = 1
Step-by-step explanation:
5 = 5b
b = 1
Write 5/18 as a decimal
Answer:
0.2777777777777
Step-by-step explanation:
To find the decimal of a fraction, you must divide the numerator by the denominator
5/18 = 0.27 (write a line ontop of the 7 to show that the 7 repeats)
√38 I’m not sure how to solve these kinds of equations
Answer:
√38
Step-by-step explanation:
√38
step 1: Check which squared numbers can be multiplied by another number to get 38.
Start with these numbers: 4, 9, 16, and 25
Step 2: Testing out the numbers
√25 × __ = 25 can't be divided by 38
√16 × ___ = 16 can't be divided by 38
√9 × ____ = 9 can't be divided by 38
√4 × ____= 4 can't be divided by 38
Step 3: Answer
After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38
I hope this helps!
Roy has $253.97 in his bank account. He loans his friend $81.19. How much money does he have in his
account?
Answer:
172.78
Step-by-step explanation:
5. This diagram is a straightedge and
compass construction. Which triangle is
equilateral? Explain how you know.
The ΔVZW is Equilateral Triangle .
Equilateral Triangle is defined as the triangle in which all the three sides of the triangle are equal.
For Example ; if a triangle ABC has lengths AB=2cm , BC=2cm and CA=2cm then the triangle ABC can be called as an equilateral triangle as all sides have same length i.e. 2cm .
In the question ,
From the diagram, we have the radius of all the circles are of equal length ,
Since the radius of all the circles are equal in length , their diameter will also be equal in length .
We can see from the diagram that VZ , ZW and WV are the diameters of the circles , So they will be equal in length ,
which means VZ = ZW = WV.
In triangle VZW the sides VZ , ZW and WV are of equal length , hence the triangle will be an Equilateral Triangle.
Therefore , the Triangle VZW is Equilateral Triangle .
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Learn
Look at this equation:
C
c³ = 125
What is c, the cube root of 125?
18. Which correctly applies the distributive property?
O2(2+3) = 6 – 2
O2(x + 3) = 2x+6
O2(x + 3) = 6x
O2(2 + 3) = 2r/3
Answer:
Option B==========================
The distributive property is:
a(b + c) = ab + acApply this to the options:
A) 2(2 + 3) = 2*2 + 2*3 = 4 + 6, not matching, no;B) 2(x + 3) = 2x + 2*3 = 2x + 6, matching, yes;C) 2(x + 3) = 2x + 6, as above, not matching, no;D) 2(2 + 3) = 4 + 6, not matching, no.Answer:
b) 2(x + 3) = 2x + 6
Step-by-step explanation:
The formula we refer to is,
→ a × (b + c) = (a × b) + (a × c)
The option obeys distributive law is,
→ 2 × (x + 3) = (2 × x) + (2 × 3)
→ 2(x + 3) = 2x + 6
Hence, option (b) is correct.
Ashton is hosting a banquet. He plans to spend $400, plus or minus $50, at a cost of $25 per guest. Solve |25x-400|= 50 to find the maximum and minimum number of guests. If there can be up to 7 guests at each table, what is the minimum number of tables Ashton should reserve so that every guest has a seat?
Answer: The maximum is 18 and the minimum is 14. He should rent at least 3 tables.
Step-by-step explanation:
When there can be up to 7 guests at each table, the minimum number of tables that Ashton should reserve so that every guest has a seat will be 3 tables.
How to calculate the value?It should be noted that the expression given is illustrated as:
|25x-400|= 50
25x = 50 + 400
25x + 450
Divide
x = 450/25
x = 18
The maximum number of guests will be 18.
The minimum number will be:
25x = 400 - 50
25x = 350
Divide
x = 350/25
x = 14
The minimum number is 14.
Therefore, when there can be up to 7 guests at each table, the minimum number of tables that Ashton should reserve so that every guest has a seat will be:
= 18 / 7
= 3 tables approximately.
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Name all the line segments that are skew to line segment BF
The line segment that is skew line to line segment BF is CD.
Skew line:
Skewed lines are two lines that are not parallel to one another, and neither do they intersect. Only dimensions greater than two-dimensional space can have skew lines. They must be non-coplanar, which means that they must exist on several planes. Two lines in two-dimensional space can either intersect or run parallel to one another. Therefore, skew lines are impossible in 2D space.
The line segment AB is perpendicular to the line segment BF which means it is not the skew line to line segment BF
The line segment CD is not parallel and not perpendicular to the given line segment BF which means it is a skew line to the given line segment BF.
Therefore, The line segment that is skew line to line segment BF is CD.
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Watch help video
Given g(x) = 2x + 3, find g(0).
Answer:
g(0) = 3
Step-by-step explanation:
Hello!
Substitute 0 for x in the equation.
Evaluateg(x) = 2x + 3g(0) = 2(0) + 3g(0) = 0 + 3g(0) = 3g(0) is 3.
Calculate the distance between Point A (-8,-2) and Point B(6,-1) Leave the answer in radical form.
the distance between Point A (-8,-2) and Point B(6,-1) in Radical form= [tex]\sqrt{197}[/tex]
Distance formula:
The distance between two points formula uses the coordinates of two points in space. In coordinate geometry, the distance between two points can be calculated using the distance formula, present in a two-dimensional or three-dimensional space. The distance formula for two points is also an application of the Pythagoras theorem
the distance formula is used to find the distance between any two points when we already know the coordinates. The points could be present alone on the x-axis or y-axis or on both axes.
Let us consider, that there are two points say A and B in an XY plane. The coordinates of point A are (x1,y1), and of B are (x2,y2). Then the formula to find the distance between two points PQ is given by:
AB=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]
Note: If the coordinates of two points P and Q are such that, (x1, 0) and (x2, 0), the distance between PQ will be given by:
PQ = |x2 – x1|
the distance between point origin O(0,0) and P(x,y) is given by:
OP = √((x2 – 0)² + (y2 – 0)²)
OP = √((x2)² + (y2)²)
or simply,
OP = √(x² + y²)
Solution :
where x and y are coordinates of points other than the origin.
Given :
(x1,y1) = (-8,-2)
(x2,y2)= (6,-1)
Solution:
[tex]d=\sqrt{x^{2} +y^{2} } \\d=\sqrt{(6+8)^{2} +(-1+2)^{2} } \\d=\sqrt{14^{2}+1^{2} } \\[/tex]
[tex]d=\sqrt({197)[/tex]
Radical form= [tex]\sqrt{197}[/tex]
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Transportation costs include car payments and costs for gasoline, repairs, and so on. What is their average monthly expenditures for transportation costs?
Group of answer choices
$879.92
$433.52
$278.50
$275.00
Answer: 433.52
Step-by-step explanation: it depends if you have the pass or not
6. What is the area in square feet of a 100 yard by 60 yard foot-
ball field?
Answer:
6000 [tex]yd^{2}[/tex]
Step-by-step explanation:
Take the length and multiply it by the width.
100 x 60 = 6000
Answer:6,000 yards
Step-by-step explanation:
100 yards x 60 yards = 6,000yards
Solve the formula for the specified variable.
I = Prt
t