Answer: x = 33
Step-by-step explanation:
Subtract 2/11x from both sides
Subtract 4 from both sides
Multiply both sides by 11/4
Answer:
The result is [tex]x = 33[/tex] .
Step-by-step explanation:
Solve the equation:
[tex]\frac{6}{11} x +4 = \frac{2}{11} x + 16[/tex]
-Subtract [tex]\frac{2}{11} x[/tex] from [tex]\frac{6}{11}x[/tex] :
[tex]\frac{6}{11} x +4 -\frac{2}{11}x = \frac{2}{11} x - \frac{2}{11}x + 16[/tex]
[tex]\frac{4}{11} x +4 = 16[/tex]
-Subtract from both sides by 4:
[tex]\frac{6}{11} x + 4 - 4 = 16 -4[/tex]
[tex]\frac{6}{11} x = 12[/tex]
-Multiply both sides by [tex]\frac{11}{4}[/tex] :
[tex]x = 12[/tex] × [tex](\frac{11}{4})[/tex]
[tex]x = 33[/tex]
So, the answer for the equation is [tex]x =33[/tex] .
The music teacher has a list of 128 students who have signed up for music classes. The music teacher can register 6 students in each class. What is the least number of classes needed for all the students to be registered in a class?
Answer:
24
Step-by-step explanation:
Divide 128 by 6 and get 23.3 but the .3 you need an extra class to fit the .3 in so add one class.
Solve for the measure of x in the following diagram
Carlos took a test and made a 50. On the next test, he made a 75. What is the percentage of change between the two test scores?
150% increase
50% increase
150% decrease
50% decrease
An item is regularly priced at $85. It is on sale for 15% off the regular price.
Someone help
Answer:72.25
Step-by-step explanation:
Answer:
$72.25 is the price of the $85 item on sale for 15% off the regular price.
Step-by-step explanation:
First you need to find out how much 15% off the original price is:
85 x .15 (change percent to a decimal by moving the decimal point to the left two times, so if it was 25%, the decimal form is .25)
85 x .15= 12.75, so there is $12.75 off the original price of $85.
$85 - $12.75= $72.25!
Yw!
Sausages come in packets of 7. Bread rolls come in packets of 5. Dan wants to buy enough
packs of sausages and rolls so that there are an equal number of sausages and rolls. What is
the minimum number of sausages and rolls he needs to buy?
Answer:
5 packs of sausages
7 packs of rolls
Step-by-step explanation:
So the least common multiple of 5 and 7
That's 35
Dan needs to buy 5 packs of sausages and 7 packs of rolls.
help me with this question.thank u
Answer:
see below
Step-by-step explanation:
P( yellow) = number of yellow sections / total sections
= 4/20
1/5
20%
Answer:
a.
4 out of 20
1/5
or 20%
b. The probability may not be as much as the other colors on the wheel depending on how many colors and how many sections of each. You have a 20% chance out of all colors to get the color yellow.
Soy bean type 1 yielded 125 bushels per acre last year at a research farm. This year, soy bean type 2, planted in the same location, yielded only 100 bushels per acre and there was a drought. The researchers do not know whether the difference is a result of the superiority of type 1 soy beans or the drought. What is this an example of?
Answer: confounding variables
Step-by-step explanation:
Confounding variables are outside influence that changes the effect of a dependent and independent variable. In this case the outside variable is the drought, which has changed the effects of the dependent and independent variables. This additional influence can be used to influence the outcome of an experimental result. Confounding variables can ruin an experiment and produce unwanted results.
Answer:
confounding
Step-by-step explanation:
A 2-column table with 9 rows. The first column is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 6, negative 2, 0, 4, 4, 0, negative 2, negative 6, negative 10. Based on the table, which best predicts the end behavior of the graph of f(x)? As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.
Answer:
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞Step-by-step explanation:
First, you need to graph all given points in the table, that way you will be able to determine the end behavior.
Remember, the end behavior of a function is the behavior of f(x) as x approaches to positive infinity and negative infinity.
So, based in the graph, we can say that as x approaches to positive infinity, f(x) approaches to negative infinity, and as x approaches to negative infinity, f(x) approaches to negative inifinity. In other words, in either case, f(x) always approaches to negative infinity.
Therefore, the right answer is the last choice.
Answer:
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞
Step-by-step explanation:
Just took the test!!!
Solve by factoring
6a^2=-23a-20
Answer:
x=[tex]\frac{-4}{3}[/tex] or x=[tex]\frac{-5}{2}[/tex] I suggest using the MathPapa or the Symbolab websites for more factoring problems.A rectangles length is three more than twice the width. The perimeter of the rectangle is 72 units. Write a let statement that can be used to find the length and width of the rectangle. Write an equation that can be used to find the length and width of the rectangle. Solve the equation. What is the length of the rectangle? What is the width of the rectangle?
Answer:
The length is 25 units and the width is 11 units
Step-by-step explanation:
Let the length of the rectangle be l.
Let the width of the rectangle be w.
We are given that the length of the rectangle is three times more than twice its width. This means that:
l = 3 + 2w
The perimeter of a triangle is given as:
P = 2(l + w)
This implies that:
P = 2[(3 + 2w) + w]
P = 2(3 + 3w)
We can use this to find the width of the rectangle and then the length.
The perimeter of the rectangle is 72 units.
Therefore:
72 = 2(3 + 3w)
72 = 6 + 6w
=> 6w = 72 - 6 = 66
w = 66 / 6 = 11 units
The length, l, is therefore:
l = 3 + 2(11) = 3 + 22 = 25 units
Kavitha is going to spin the following spinner 200 times. The spinner is divided into equal sections:
mouse
mouse
monkey
monkey
elephant
What is the best prediction for the number of times the spinner will land on the elephant?
Answer:
Option (D) Close to 40 times but probably not exactly 40 times.
Answer:
D
Step-by-step explanation:
Khan
please help me i really need to pass.
Which inequality represents the phrase below?
a number greater than or equal to 71
A.
x is less than 71
B.
x is greater than 71
C.
x is greater then 71
D.
x is less than 71
Im sorry this does not make a lot of sense
BUT I REALLY NEED THIS
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i had this one
Which is the rate of change for the interval between 2
and 6 on the x-axis?
-3
-1/3
1/3
3
Answer: 2 box plots. The number line goes from 0 to 20. For East Side Middle School Debate Wins, the whiskers range from 5 to 14, and the box ranges from 10 to 12. A line divides the box at 11. For West Side Middle School Debate Wins, the whiskers range from 3 to 14, and the box ranges from 8 to 12. A line divides the box at 9.
Which of these inferences about the two debate teams are true? Check all that apply.
West Side is more consistent at winning.
East Side is more consistent at winning.
East Side typically wins more debates per year than West Side.
West Side typically wins more debates per year than East Side.
These graphs do not contain enough information from which to draw inferences.
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
Rewrite the equation by completing the square.
x^{2}-14x+33 = 0
Answer:
Step-by-step explanation:
x^2 - 14x = -33
14/2= 7
(7)^2 = 49
x^2 - 14x + 49 = -33 + 49
x^2 -14x + 49 = 16
(x-7)^2 - 16
Answer:
x = 11
x =3
Step-by-step explanation:
I hope it helps
What did the Romans do to help protect most cities from attack?
They built them on hills.
They surrounded them with canals.
They bordered them with farmland.
They constructed walls around them.
Answer:
A
Step-by-step explanation:
Answer:A They built them on hills.
Step-by-step explanation:
They built them on hills bc they elwanted to keep them safe and B C and D would not provide the proper protection.
What is 0.35714285714 as a fraction?
Answer:
0.35714285714 as a fraction equals 35714285714/100000000000
Step-by-step explanation:
To write 0.35714285714 as a fraction you have to write 0.35714285714 as numerator and put 1 as the denominator.
Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.35714285714 = 0.35714285714/1 = 3.5714285714/10 = 35.714285714/100 = 357.14285714/1000 = 3571.4285714/10000 = 35714.285714/100000 = 357142.85714/1000000 = 3571428.5714/10000000 = 35714285.714/100000000 = 357142857.14/1000000000 = 3571428571.4/10000000000 = 35714285714/100000000000
I hope this helps :)
You roll a number cube once.
What is the theoretical probability that you roll a 2 or 4? Enter your answer as a simplified fraction.Use/to write your fraction.
The probability that you roll a 2 or 4 is
Answer:
Step-by-step explanation:
Probability of a 2 = 1/6
Probability of a 4 = 1/6
probability of a 2 or 4 = 1/6 + 1/6 = 2/6 = 1/3
[tex]\text{We need to find the probability of rolling a 2 or 4}\\\\\text{Rolling a 2 or 4 is our intended outcome}\\\\\text{Therefore, it would be 2 outcomes in our probability}\\\\\text{We also know that there are a total of 6 sides in a number cube}\\\text{This represents our total amount of outcomes}\\\\\text{With the information above, we would write our probability as:}\frac{2}{6}\\\\\text{You can simplify it by dividing by 2}\\\\\boxed{\frac{1}{3}}[/tex]
What is the slope of the line represented by the equation f(x)=3/2x-4 ?
Answer:
3/2
Step-by-step explanation:
it's the slope because it's before x.
Answer: 3/2 is the answer
Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand. y = 9x Part A: How many more dollars is the price of a box of Luke's original brand of cereal than the price of a box of the super-saving brand? Show your work.
Answer:
Part A:
Luke's original box of cereal costs $2 more than the super-saving brand.
y=9(1)
y=9
11-9=2
Part B:
y=9(6)
y=54
11x6=66
66-54=12
Luke saves $12 each month if he buys 6 boxes of the super-saving brand.
pls mark brainliest
Unit 5. 2) Please help. If a triangular prism and a cylinder have the same height and the same volume, what must be true about their bases?
Answer:
If a triangular prism and a cylinder have the same height and the same volume, then the area of bases must be equal.
=> Option A is correct
Step-by-step explanation:
Because they share the same formula to calculate V = Base area x Height
V and Height are same, then Base areas are same.
Hope this helps!
:)
If a triangular prism and a cylinder have the same height and the same volume, then their bases have the same area is true statement.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
If a triangular prism and a cylinder have the same height and the same volume, then their bases must have the same area.
This can be explained using the formula for the volume of a prism, which is equal to the area of the base times the height.
Since the height of both shapes is the same, the volume of the shapes is proportional to the area of their bases.
If the volume is the same for both shapes, then their bases must have the same area.
Therefore, their bases have the same area is the true statement among the given statements.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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What percent is 45 out of 72?
Answer:
62.5%
Step-by-step explanation:
Answer:
62.5%
Step-by-step explanation:
Is means equals and out of means divide
Let P be the percent
P = 45 / 72
P =.625
Change to percent form by multiplying by 100
P = 62.5%
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Answer BOTH of them plz
Simplify the equation-
x-(-2x+4)
Someone please help me
C, D, and E are most likely to be right. Its either all of them, one of them, or two of them. A is impossible to use in the equation and if you use b, you get 45.5.
BC=
Round your answer to the nearest hundredth.
B
20°
?
A
4
с
Remember, SOH CAH TOA for the trigonometric functions. In this problem, we are given an angle, a side opposite that angle, and a side adjacent to that angle. So, we should use the tangent function to find the missing side.
tan(20) = 4 / x
tan(20)x = 4
x = 4 / tan(20)
x = 10.99 units
Hope this helps! :)
Answer:10.99
Step-by-step explanation:
What is b and what is c in degrees?
Answer:
c is 90 degrees and b is 10 degrees hope its right
Step-by-step explanation:
Suppose you are going to draw two cards from a standard deck without replacement. What is the probability that the first card is an Ace and the second card is a Jack?
Answer:
4/663
Step-by-step explanation:
1/13 = probability of ace (as 1st card)
4/51 = probability of jack (as 2nd card) -->
4/663
The probability that the first card is an Ace and the second card is a Jack without replacement will be 0.00603318 or 4/663.
What is probability?The probability of an event occurring is defined by probability.
Probability is also known as chance because, if you flip a coin, the likelihood that it will land on its head or tail is nothing more than the chance that either the head or the tail will occur.
In our daily time, there are several instances in the everyday world where we may need to draw conclusions about how everything will turn out.
Without replacement will be dependent events.
Probability of dependent events
P(A and B) = P(A) × P(B/A).
Probability of the first card as Ace = 4/52 ( 4 are Aces out of 52 cards)
Probability of the second card as jack = 4/51 ( since 1 ace has been removed)
P( Ace and Jack ) = 4/52 × 4/51 = 4/663 = 0.00603318
Hence the probability that the first card is an Ace and the second card is a Jack will be 0.00603318.
For more information about the probability,
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The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for π. Round your answer to the nearest hundredth.
Answer:
[tex]267.95 cm^3[/tex]
Step-by-step explanation:
We need to first find the radius of the sphere.
The surface area of a sphere is given as:
[tex]A = 4\pi r^2[/tex]
where r is the radius
Therefore:
[tex]200.96 = 4 * 3.14 * r^2\\\\=> r^2 = 200.96 / 12.56\\\\r^2 = 16\\\\r = \sqrt{16} \\\\r = 4cm[/tex]
The radius of the sphere is 4 cm.
The volume of a sphere is given as:
[tex]V = \frac{4}{3} \pi r^3[/tex]
Therefore, the volume of the sphere of radius 4 cm is;
[tex]V = \frac{4}{3} * 3.14 * 4^3\\\\V = 267.95 cm^3[/tex]
The volume of the sphere is [tex]267.95 cm^3[/tex]
Answer:
C: 267.95 cm3
Step-by-step explanation:
30 POINTS!!! NEED HELP!!!!
Write the expansion for the series described by the summation notation. *
Captionless Image
a) 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100+ 121 + 144
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
c) 16 + 9 + 5 + 0 + 1 + 4 + 25 + 25 + 36 + 49 + 64 + 81 + 100 + 121
d) None of the above
Answer:
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
Step-by-step explanation:
[tex] \Sigma_{k=1}^{16} (k - 5)^2 \\
= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\
=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\
=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121[/tex]