Which of the following math statements contain variable(s)? Check all that apply A. 9 - __ = 8 I
B. 9-1 = 8
C. 9-1 = x
D. X- = 8
Answers
Answer:
c d
Step-by-step explanation:
Related Questions
A portion of an amusement park ride is shown. Find EF. Write your answer as a fraction in the simplest form
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The point of intersection of two straight line graphs is the point with coordinates that satisfies both lines equations
The length of segment EF is presented as follows;
\(EF =\underline{\mathbf{ 17\dfrac{1}{7} \ ft.}}\)
The reason why the above value is correct is as follows;
The given parameters are;
Height of right triangle ACD = 40 ft.
Height of right triangle BCD = 30 ft.
Required:
To find the length of EF
Solution:
The equation of the lines AC and BD are found and equated to find the height of EF as follows;
The slope of AC = \(\dfrac{-40}{CD}\)
The equation of AC is presented as follows;
\(y - 40 = \dfrac{-40}{CD} \times (x - 0)\)
\(y = \dfrac{-40}{CD} \times x + 40\)
The slope of BD = \(\dfrac{30}{CD}\)
The equation of BD is given as follows;
\(y - 30 = \dfrac{30}{CD} \times (x - CD)\)
\(y = \dfrac{30}{CD} \times (x - CD)+ 30\)
Equating both values of y to find the value of y at the intersecting point E, gives;
\(\dfrac{-40}{CD} \times x + 40 = \dfrac{30}{CD} \times (x - CD)+ 30\)
Which gives;
\(\dfrac{40 \cdot CD - 40 \cdot x}{CD} = \dfrac{30 \cdot x}{CD}\)
Therefore;
40·CD - 40·x = 30·x
\(CD = \dfrac{70\cdot x}{40} = \dfrac{7\cdot x}{4}\)
\(CD = \dfrac{7\cdot x}{4}\)
Therefore, at E, we have;
\(y = EF= \dfrac{40 \cdot CD - 40 \cdot x}{CD} = \dfrac{30 \cdot x}{CD}\)
\(y = EF = \dfrac{40 \times \dfrac{7}{4}\cdot x - 40 \cdot x}{\dfrac{7}{4}\cdot x} = \dfrac{30 \cdot x}{\dfrac{7}{4}\cdot x} = \dfrac{120}{7} = 17\dfrac{1}{7}\)
\(\underline {EF = 17\dfrac{1}{7} \ ft.}\)
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Write the slope-intercept form of the equation of each line given the slope and y-intercept.
6) Slope = -3, y-intercept = 3
7) Slope = -4, y-intercept = 5
Answers
Answer:
6) y= -3x+3
7) y= -4x+5
Step-by-step explanation:
mario earns a weekly salary of $440.00 plus a 12% commission on any sales. this week he sold $525.00 worth of merchandise. how many did randy earn?
Answers
Answer:
10% of 440.00=44
1%(÷by 100) of 440.00=4.40
1%=4.40
then do 44+4.40+4.40=52.80(that is 12% comission)
then you add 12% of 440 onto his weekly salary that equals to 492.8
this week he sold 525.000
12%of 525.00=63
then add 63 to 440=503
so Rany eartn $503
?
Consider the function f(x) =2x-6 find f(2)
Answers
Step-by-step explanation:
✧ \( \underline{ \underline{ \large{ \tt{G \: I \: V \: E\: N}}} } : \)
f ( x ) = 2x - 6✧ \( \underline{ \underline{ \large{ \tt{T\: O \: \: F\: I\: N\: D}}}}: \)
value of f ( 2 )✧ \( \underline{ \underline{ \large{ \tt{S \:O \: L \: U \: T \: I \: O \: N}}}} : \)
❀ \( \large{ \text{When \: x = 2 ,\: f}(2) = 2 \tt{ \times 2 - 6}}\)
⟼ \( \large{ \text{f(2) = 4 - 6 = \boxed{ \large{ \text{ - 2}}}}}\)
♨ \( \boxed{ \boxed{ \large{ \text{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bold{ \text{ - 2}}}}}}}}\)
Hope I helped ! ♡
Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer! ☄
☃ \( \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}\) !! ♕
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a. x-4=0
b. x+4=0
c. y-4=0
d. y+4=0
Answers
A jacket used to cost $54. After a 40% discount, what is the new cost of the jacket?
Answers
Im pretty sure its $32.4
Step-by-step explanation:
Help please its due at midnight!!!
Answers
potential energy is at its highest when it’s most in the air
example) holding a piece of paper in the air
Q15- B & F
Kinetic energy is at most when it’s closest to the ground
a basket contains 5 purple pencils and 9 brown pencils. if two pencils are picked at random one after the other with replacement, then what is the probability that both the pencils are purple?
Answers
The probability that both pencils picked at random with replacement from a basket containing 5 purple and 9 brown pencils are purple is 9/98.
To calculate the probability of picking two purple pencils with replacement, we need to use the multiplication rule of probability. The probability of picking the first purple pencil is 5/14, and the probability of picking a second purple pencil from the basket is also 5/14 since we are replacing the first pencil. Therefore, the probability of picking two purple pencils with replacement is (5/14) × (5/14) = 25/196. However, we also need to account for the possibility of picking a brown pencil first and a purple pencil second.
The probability of picking a brown pencil first is 9/14, and the probability of picking a purple pencil second is 5/14. So, the probability of picking a brown pencil followed by a purple pencil is (9/14) × (5/14) = 45/196. Adding the probability of picking two purple pencils and the probability of picking a brown pencil followed by a purple pencil gives us the total probability of (25/196) + (45/196) = 9/98.
Therefore, the probability that both pencils picked at random with replacement from a basket containing 5 purple and 9 brown pencils are purple is 9/98.
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fully simplify3d/ac x 2ad/30
Answers
The value of the equation 3d/ac x 2ad/30 is ( d² / 5c )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
A = 3d/ac x 2ad/30 be equation (1)
On simplifying the equation , we get
A = 3d/ac x 2ad/30
A = 6ad² / 30ac
On further simplification of the equation , we get
The value of A = 1/5 ( ad² / ac )
The value of A = 1/5 ( d²/c )
Therefore , the value of A is ( d² / 5c ) or A = 1/5 ( d²/c )
Hence , The value of the equation 3d/ac x 2ad/30 is ( d² / 5c ) or
A = 1/5 ( d²/c )
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To rent a building for a school dance Ava paid 120$ plus 2.50 for each student who attended if she paid a total of $325 how many students attended the dance
Answers
Answer:
82
Step-by-step explanation:
Answer:
82
Step-by-step explanation:
The first thing you do here is subtract 120 from 325
325-120=205
The next step is to divide 205 by 2.50 to find how many students attended
205/2.50=82
Therefore 82 students paid the $2.50 price to attend the dance
70 points
WIll mark as branliest with heart
Answers
Answer:
a
Step-by-step explanation:
Name the same side interior angle with angle 6
Answers
Answer:
try 5 or 3, half of 6 is 3 may be the same angle
Simplify each expression. Use only positive exponents. (h⁷ k³)⁰
Answers
Answer:
1
Step-by-step explanation:
Since this is raised to the zero power the answer is 1.
What is 0.782 rounded to nearest hundredth
Answers
Answer:
7 is the tenth place and 8 is in the hundredth place.
so it is rounded to 0.78 since 2 is below 5.
Step-by-step explanation:
Jeffery is wrapping a box. the dimensions of the box are shown. What is the surface area of the box
Answers
Answer: 232
Step-by-step explanation:
Surface area = everything multiplied x 2
Are the following figures similar? (1 point)
5
A
H
2.
B 2
D
10
10
20
20
С
G
Yes; the corresponding angles are congruent
No; the corresponding angles are not congruent
Yes; the corresponding sides are proportional
No; the corresponding sides are not proportional
Answers
Answer:
yes the corresponding sides are proportional
Based on the given five balances what is the average balance for the 5 day period
Answers
The average balance for the 5 day period is 27.
The average of anything is given by adding all the numbers and dividing the sum of total number of items. The average daily balance is given by adding up your balances from all of the days throughout the period, dividing them by the total number of days during the period.
Now, Adding the all five balances, we get
Sum = (-21)+(-55)+102+125+(-16)
= -21-55+102+125-16
= 135
Now, Dividing the sum by total number of days i.e. 5,
Average \(=\frac{135}{5}\)
= 27
Hence, the average balance for the 5 day period is 27.
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suppose the time it takes a nine-year old to eat a donut is uniformly distributed between 0.5 and 4 minutes, inclusive. what is the probability that a nine year old will take longer than 3 minutes to eat a donut? ( round to three decimal places)
Answers
The probability that a nine year old will take longer than 3 minutes to eat a donut is 0.667 .
Given that the time taken by 09 years old,
Consider that it takes 0.5 to 4 minutes inclusive for a 9-year-old to eat a donut.
Let X = Time
minutes, how long it takes a 9 year old to eat a donut.
Then X: U(0.5, 4).
The Probability Distribution Function:
P(X) = 1/4 - 0.5 = 0.2857
Cumulative Function would be:
F(x) = x -0.5 /0.5
The probability that a randomly selected 9-year-old child will eat a donut in at least 2 minutes is
P(X ≥ 2) = 1 -F(2)
⇒ 1 - 2 -0.5/3.5
⇒ 0.8571
b) The probability that another her 9-year-old child will eat a donut in 2 minutes or more if she has eaten a donut in 3.0 minutes or more.
P(x >2 /x> 3.0)
= 0.571429/ 0.857143
= 0.6667
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Sally took out a loan for 4 years at an interest rate of 4%. If she borrowed $5000, how much in total does she have to pay back?
Answers
Answer:
She would have to pay 5,800
In this 3x3 square, you can use only numbers from 1-9, to make all the rows and columns equal to 15. Good luck to the person solving this and just know that I and lots more people thank you for solving this!
Answers
Answer:
Hello,
Step-by-step explanation:
The well-known magic square. (first apparition in China).
Here it the methode du Marquis de Liouville: (odd square:3,5,7,9,11,13,...)
We are going to put successively the number from 1 to n² (here n=3)
We imagine that the square is put on a sphere;
We begin in the middle of the last line where we put 1
ICI:
We move in direction SE of one case and put le next number
until we reach of multiple of n
After have reached a multiple of n, we move verticaly of one case
and we go to ICI until we reach n²
What are the 6 trigonometric identities?
Answers
The six trigonometric identities are:
cosecant(x) = 1/sin(x) secant(x) = 1/cos(x) csc(x) = 1/sin(x) sec(x) = 1/cos(x) tan(x) = sin(x)/cos(x) cot(x) = cos(x)/sin(x)Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of triangles. In trigonometry, there are six basic functions, sine, cosine, tangent, cosecant, secant, and cotangent, each of which is represented by a specific letter. These functions are related to each other through a set of identities known as the trigonometric identities.
The six trigonometric identities listed above, are the most commonly used identities, and provide the relationships between the six trigonometric functions and each other. They are useful for solving trigonometric equations, simplifying trigonometric expressions, and solving problems in geometry, physics, engineering and other sciences.
The Pythagorean identity states that the sum of the squares of the sine and cosine of an angle is equal to 1, which is a fundamental relationship between the two functions. The reciprocal identities state that the reciprocal of the sine and cosine of an angle is equal to the cosecant and secant of that angle respectively.
The quotient identities state that the tangent of an angle is equal to the sine of that angle divided by the cosine of that angle, and the cotangent of an angle is equal to the cosine of that angle divided by the sine of that angle.
It's important to note that these identities are valid for all values of the angle, and are true in any angle measurement system (degrees or radians).
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Use inverse trigonometric functions to solve the following equations. If there is more than one solution, enter all solutions as a comma-separated list (like "1, 3"). If an equation has no solutions, enter "DNE".Solve tan(θ)=1 for θ (where 0≤θ<2π).θ=Solve 7tan(θ)=−15 for θ (where 0≤θ<2π).θ=
Answers
Starting with the equation:
\(\tan (\theta)=1\)take the inverse tangent function to both sides of the equation:
\(\begin{gathered} \arctan (\tan (\theta))=\arctan (1) \\ \Rightarrow\theta=\arctan (1) \\ \therefore\theta=\frac{\pi}{4} \end{gathered}\)Yet another value can be found for this equation to be true since the period of the tangent function is π:
\(\begin{gathered} \theta_1=\frac{\pi}{4} \\ \theta_2=\frac{\pi}{4}+\pi=\frac{5}{4}\pi \end{gathered}\)Starting with the equation:
\(7\tan (\theta)=-15\)Divide both sides by 7:
\(\Rightarrow\tan (\theta)=-\frac{15}{7}\)Take the inverse tangent to both sides of the equation:
\(\begin{gathered} \Rightarrow\arctan (\tan (\theta))=\arctan (-\frac{15}{7}) \\ \Rightarrow\theta=\arctan (-\frac{15}{7}) \\ \therefore\theta=-1.13416917\ldots \end{gathered}\)The tangent function has a period of π. Since the value that we found for theta is not between 0 and 2π, then we can add π to the value:
\(\begin{gathered} \theta_1=-1.13416917\ldots+\pi \\ =2.007423487\ldots \end{gathered}\)We can find another value for theta such that its tangent is equal to -15/7 by adding π again, provided that the result is less than 2π:
\(\begin{gathered} \theta_2=\theta_1+\pi \\ =5.14901614\ldots \end{gathered}\)Therefore, for each equation we know that:
\(\begin{gathered} \tan (\theta)=1 \\ \Rightarrow\theta=\frac{\pi}{4},\frac{5\pi}{4} \end{gathered}\)\(\begin{gathered} 7\tan (\theta)=-15 \\ \Rightarrow\theta=2.007423487\ldots\text{ , }5.14901614\ldots \end{gathered}\)Starting with the equation:
\(\tan (\theta)=1\)take the inverse tangent function to both sides of the equation:
\(\begin{gathered} \arctan (\tan (\theta))=\arctan (1) \\ \Rightarrow\theta=\arctan (1) \\ \therefore\theta=\frac{\pi}{4} \end{gathered}\)Yet another value can be found for this equation to be true since the period of the tangent function is π:
\(\begin{gathered} \theta_1=\frac{\pi}{4} \\ \theta_2=\frac{\pi}{4}+\pi=\frac{5}{4}\pi \end{gathered}\)Starting with the equation:
\(7\tan (\theta)=-15\)Divide both sides by 7:
\(\Rightarrow\tan (\theta)=-\frac{15}{7}\)Take the inverse tangent to both sides of the equation:
\(\begin{gathered} \Rightarrow\arctan (\tan (\theta))=\arctan (-\frac{15}{7}) \\ \Rightarrow\theta=\arctan (-\frac{15}{7}) \\ \therefore\theta=-1.13416917\ldots \end{gathered}\)The tangent function has a period of π. Since the value that we found for theta is not between 0 and 2π, then we can add π to the value:
\(\begin{gathered} \theta_1=-1.13416917\ldots+\pi \\ =2.007423487\ldots \end{gathered}\)We can find another value for theta such that its tangent is equal to -15/7 by adding π again, provided that the result is less than 2π:
\(\begin{gathered} \theta_2=\theta_1+\pi \\ =5.14901614\ldots \end{gathered}\)Therefore, for each equation we know that:
\(\begin{gathered} \tan (\theta)=1 \\ \Rightarrow\theta=\frac{\pi}{4},\frac{5\pi}{4} \end{gathered}\)\(\begin{gathered} 7\tan (\theta)=-15 \\ \Rightarrow\theta=2.007423487\ldots\text{ , }5.14901614\ldots \end{gathered}\)find x and I will give you brainliest answer award and 10 points
Answers
Answer: x = 6
Formula: \((x+5)=11\)
Step-by-step explanation:
We know that an area of a triangle is half of a rectangle.
The bottom side must equal 11, since if the figure was a rectangle, the area would be multiplied by 2, giving us 44.
What minus 5 equals 11?
6.
So x must equal 6.
PLEASE HELP!
You bought a car for $5,000. Each year it depreciates in value by 8.5%. Which equation can be used to find the value, v, of the car, x years after it was purchased?
Answers
Answer: C
Step-by-step explanation: In bracket we subtract 8,5% which is 0.085 from whole amount which is 1. Then the obtained result, we raised to the power of x - wich respresent numbers of years
76. 6 25. 5 10. 87 =
What wa Sela' etimate and what i the actual um of the number?
Answers
The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.
To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.
76 rounds to 80 since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5
So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230
To find the actual sum of the numbers, we simply add them together without rounding:
76 + 6 + 25 + 5 + 10 + 87 = 209
The complete question is: 76. 6 25. 5 10. 87 =
What was Sela's estimate and what is the actual sum of the number?
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5(2a - 6) what is the answer
Answers
write an equation of the line with the given point and slope
Answers
Answer: 0.4
Step-by-step explanation:
Answer:
y = 1/4x + 8
Step-by-step explanation:
use m a t h w a y . c o m next time it always gives the right answers
The ratio of a rectangle's length to the rectangle's width is 6:11. If
the perimeter of the rectangle is 510 units, then what is the length of
the rectangle?
Answers
Answer:
Step-by-step explanation:
90
By solving the equation 510 = 2(6x + 11x), we know that the length of the given rectangle is 90 units.
What are equations?
It primarily consists of a variable, sometimes with a numerical constant in addition.
Take the following illustration into consideration to quickly grasp this idea. 3x – 4 = 5. It is a simple equation of class 7.
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
So, we know that the ration is 6:11 and the perimeter is 510 units.
Then, form and solve the equation as follows:
510 = 2(6x + 11x)
510 = 12x + 22x
510 = 34x
x = 510/34
x = 15
Then, the length will be:
6x
6(15)
90 units
Therefore, by solving the equation 510 = 2(6x + 11x), we know that the length of the given rectangle is 90 units.
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Solve the system of two linear inequalities graphically,S* >4y>= -6Step 1 of 3: Graph the solution set of the first linear inequalityAnswer PointsKeypadKeyboard ShortcutsThe line will be drawn once all required data is provided and will update whenever a value is updated. The regions will be added once the line is drawn.Enable Zoom/PanJAYChoose the type of boundary line:Solid (-) Dashed -Enter two points on the boundary line:51055Select the region you wish to be shaded:ОАOB
Answers
The Solution:
Given the system of inequalities below:
\(\begin{gathered} x>4 \\ y\ge-6 \end{gathered}\)Graphing the inequalities, we have:
To choose the type of boundary line for the inequalities.
\(Dashed\text{ \lparen....\rparen for x>4}\)\(\text{ Solid \lparen-\rparen for y}\ge-6\)Enter two points on the boundary line.
For the inequality x>4:
\(\begin{gathered} \left(4,-6\right)\text{ and} \\ \lparen10,-6) \end{gathered}\)For the second inequality, two points on the boundary line are:
\(\begin{gathered} \left(4,-6\right)\text{ and} \\ \left(4,0\right? \end{gathered}\)The region to be shaded is region B as shown in my graph above (though I do not know how A and B are labeled in the given graph)
A rancher wants to fence in an area of 1,300,000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use
Answers
The shortest length of fence is thus equal to P1 = x + 1,300,000/x.
Let the width of the rectangular field be "x" feet and the length be "y" feet, then the area of the field, A = x y square feet. The area of the field is given as 1,300,000 square feet, so we can write; x y = 1,300,000 Therefore, y = 1,300,000/x feet. Now, if we divide the rectangular field into two halves parallel to one side, we can write the new dimensions of each half as follows: Half 1: Length = x, Width = y/2 = 1,300,000/2x = 650,000/x Half 2: Length = x, Width = y/2 = 1,300,000/2x = 650,000/x
The total length of fence needed to enclose the rectangular field is given by; P = 2x + 2y = 2x + 2(1,300,000/x)P = 2x + 2(1,300,000/x)The total length of fence needed to divide the rectangular field into two halves is given by;P1 = x + 2(650,000/x)P1 = x + 1,300,000/x Thus, the shortest length of fence that the rancher can use is the length of the fence needed to divide the field into two halves. Therefore;P1 = x + 1,300,000/x.
The shortest length of fence is thus equal to P1 = x + 1,300,000/x.
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