Answer:
x = 5. y = 4
Step-by-step explanation:
7x - 4 = 31
7x = 35
x = 5
4y + 8 = 24
4y = 16
y = 4
Your sister is still selling iced tea (see question #3). Which equation represents how many glasses of lemonade x it will take for your brother to break even?
Question 4 options:
0.35x - 15.75 = 0
(0.35x)/15.75 = 0
0.35 + x = 15.75
0.35x + 15.75 = 0
Answer:
The first option
Step-by-step explanation:
just took the quiz and it was correct
Answer:
0.35x - 15.75 = 0
Step-by-step explanation:
took the test
is y=-5/9x proportional
Answer:
No
Step-by-step explanation:
I don't think it is proportional
Here it is not proportional.
What is proportional?
Proportional relationships are relationships between two variables where their ratios are equivalent.
Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.
Here given that,
\(y=-\frac{5}{9x}\)
Here it is not proportional.
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The graph shows the distribution of the lengths (in seconds) of videos on a popular video-streaming site. The distribution is approximately Normal, with a mean of 264 seconds and a standard deviation of 75 seconds.
A graph titled Streaming Videos has length (seconds) on the x-axis, going from negative 36 to 564. The highest point of the curve is at 264.
What percentage of videos on the streaming site are between 264 and 489 seconds?
0.15%
49.85%
95%
99.7%
According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.
To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.
First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:
z1 = (264 - 264) / 75 = 0
z2 = (489 - 264) / 75 = 3
Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .
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A box plot is shown. The left-most point on the plot is 20 and the right-most point is 95. The box is labeled 35 on the left edge and 60 on the right edge. A vertical line is drawn inside the rectangle at the point 55.
Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph. (4 points)
Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents. (4 points)
Part C: Explain what affect, if any, there will be if an outlier is present. (2 points)
PLEASE ONLY ANSWER IF YOU KNOW WHAT IT IS!!
"The box plot tells us about the lower limit, first quartile, median, third quartile, and upper limit.
Step-by-step explanation:
Box plot:
It displays the five-number summary of a set of data. The five-number summary is the lower limit, first quartile, median, third quartile, and upper limit. We draw a box in a box plot from the first quartile to the third quartile. A vertical line goes through the box which represents the median. Anything that lies beyond the upper limit or the lower limit is know as an outlier.
From the information given, we can say that:
The left-most point on the plot is 20 and the right-most point is 95 which means 20 and 95 are the lower and upper limit respectively. The box is labeled 35 on the left edge and 60 on the right edge which means 35 is the first quartile and 60 is the the third quartile. A vertical line is drawn inside the rectangle at the point 55 which means 55 is the median of given data. We cannot know about the mean of data with the given information."
(this is kind of an answer, I hope it's helpful)
The other prson is right, give them brainliest!
Stuck on this question pls help
For the triangle m/1+m/2+m/3 = 180° is condition satisfices so option B is correct
What is triangle?
A triangle is a two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry, and is often used in mathematics and other fields to represent or analyze a wide range of concepts. The three sides of a triangle may be of different lengths, or they may be equal (in which case the triangle is called an equilateral triangle). The angles of a triangle may also be of different measures, and are often denoted by Greek letters such as alpha (α), beta (β), and gamma (γ). Triangles are used in many applications, such as to calculate distances, areas, and angles in real-world scenarios, or to analyze patterns and structures in abstract mathematical contexts.
According to the question:
The equation that shows the relationship between the angles in the triangle is:
m/1+m/2+m/3 = 180°
This equation states that the sum of the measures of the three angles in a triangle is equal to 180 degrees. The variables m/1, m/2, and m/3 represent the measures of the three angles in the triangle, and the sum of these measures is equal to 180 degrees.
So option B is correct .
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Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12
The loss on selling 50 shares of stock would be 87.50.
To calculate the loss on selling 50 shares of stock originally bought at
\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.
First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.
Next, we calculate the difference between the purchase price and the selling price:
\(13.75 - 12 = 1.75.\)
Finally, we multiply the difference by the number of shares sold:
\(1.75 \times50 = 87.50.\)
Therefore, the loss on selling 50 shares of stock would be 87.50.
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HELP 40 POINTSS!! Use the following figure to answer BOTH parts the question.
a) Describe in words a sequence of transformations that maps ∆ABC to ∆A''B''C''.
b) Write an ordered-pair rule for each transformation in the sequence.
This questions have been solved in three steps showing the sequence of transformation that maps ∆ABC to ∆A''B''C''.
As per the question statement, we are supposed to describe in words a sequence of transformations that maps ∆ABC to ∆A''B''C''.
Before solving the question, we need to know about the coordinates of vertices of ∆ABC , which is as follows:
\(A(-5,3)\) , \(B(-2,3)\) and \(C(-4,1)\)
Now coordinates of vertices of ∆A''B''C'' are as follows:
\(A"(8,-2)\) , \(B"(5,-2)\) and \(C"(7,0)\)
Step 1: Shifting the ∆ABC four units vertically down so that the edge \(AB\) lies on the \(x-axis\)
Step 2: Shifting the ∆ABC ten units in horizontally right direction.
Step 3: Inverting the ∆ABC by \(180\)° on the same axis
Step 4: Rotating the ∆ABC by \(180\)° hence the new ∆A''B''C'' is mapped.
This question is a classic example to practice the coordinate geometry.
Sequence of transformations: A series of transformations or a composition of transformations is what results when two or more transformations are joined to create a new transformation.Coordinate geometry: By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related. They can answer geometrical problems because it gives them geometrical aspects of algebra.
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Jeremy and three of his friends went out to dinner and ordered French fries for $4.50, an order of hot dogs for $11.29, and a salad for $15.49. If they decided they wanted to split the meal evenly, how much did each person have to pay?
Answer:
7.82 for each person
Step-by-step explanation:
31.28/4=7.82
An experiment was used to test a new migraine medicine. Each participant took either the new medicine or a placebo
then waited for one hour to see if the headache went away or remained. The results are compiled in the contingency
table below. Use the table to answer the questions.
Went Away| Medicine| Placebo
Remained|. 120. |. 68
18. | 44
Your answers should be exact numerical values.
There were
participants whose headache remained.
The probability of randomly selecting an individual whose headache remained is
There were
participants whose headache remained and took a placebo.
The probability of randomly selecting an individual whose headache remained and took a placebo is
1) Number of participants whose headache remained is: 62
2) The probability of randomly selecting an individual whose headache remained is: 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933
How to find the probability of random selection?From the table, we have the parameters as:
Number of participants that took medicine and headache went away = 120
Number of participants that took placebo and headache went away = 68
Number of participants that took and headache remained = 18
Number of participants that took placebo and headache remained = 44
1) Number of participants whose headache remained = 18 + 44 = 62
2) The probability of randomly selecting an individual whose headache remained is:
62/(62 + 120 + 68)
= 62/150
= 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is:
44/150 = 0.2933
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3 x ( 9 - ( 4 + 2 ) divided by 2 )
Answer:
i think the answer is 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
3(9−(4+2)/2)
=(3)(9+−3)
=(3)(9)+(3)(−3)
=27−9
=18
Have a beautiful day!
Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places
Answer:
The probability is 0.1944
Step-by-step explanation:
Since we are rolling two dice, the number of possible results is 36
for us to get a sum of seven, these are the possible results;
1 and 6
6 and 1
2 and 5
5 and 2
3 and 4
4 and 3
The probability of rolling a sum of 7 is 6/36
For a sum of 12, we only have one possible result and that is 6,6
So the probability here is 1/36
If we have or in probability, we add up the individual probabilities
So, our probability here will be;
1/36 + 6/36
= 7/36 = 0.1944
solve 2x + 9=y
y= -4x -3
how do you simplify this complex fraction in the lowest terms
\(\frac{77x^9/15y^5}{7x^7/10y^4}\)
Answer:
\(\frac{22x^{2}}{3y}\)
Step-by-step explanation:
\(\frac{(77x^{9})(10y^{4}) }{(7x^{7})(15y^{5}) }\)
\(\frac{(11x^{2})(2)}{3y}\)
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 169 cm and a standard deviation of 2.2 cm. For shipment, 10 steel rods are bundled together.
Answer the following rounding to three decimals where appropriate.
Find the probability that the average length of a randomly selected bundle of steel rods is greater than 168.58 cm.
P(M > 168.58) = ???
The probability that the average length of a randomly selected bundle of steel rods is greater than 168.58 cm is 0.7486
How to calculate the probabilityFirst, we need to calculate the z-score for the sample mean:
z = (x - μ) / (σ / √n)
z = (168.58 - 169) / (2.2 / √10)
z = -0.67
Next, we need to find the probability that a randomly selected bundle of steel rods will have a mean length greater than 168.58 cm. This is equivalent to finding the area under the standard normal distribution curve to the right of z = -0.67.
Using a standard normal distribution table or calculator, we find that the probability is 0.7486.
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Which of these is NOT a way to show that two figures are congruent?
If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.
What is Triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
What is the condition to be congruent?If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.
here, we have,
Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.
In Δ PQR and ΔXYZ, as shown in figure,
we can identify that PQ = XY, PR = XZ,
and QR = YZ
and ∠P = ∠X,
∠Q = ∠Y and ∠R = ∠Z.
Then we can say that Δ PQR ≅ ΔXYZ.
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Can someone please hope and show the work?
Answer: 16 pounds of grain.
Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.
(let me know if you would like me to explain more on this)
If the area of a square inscribed in a circle is
25, what is the area of the circle?
The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.
To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.
When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.
We are given that the area of the square is 25, so we can find the side length of the square:
Area of square = \(s^2 = 25\)
Taking the square root of both sides, we get:
s = √25 = 5
Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:
Diagonal = Diameter = s√2 = 5√2
The radius of the circle is half the diameter, so:
Radius = 5√2 / 2 = (5√2)/2
Now, we can calculate the area of the circle using the formula:
Area of circle = \(\pi r^2\)
Substituting the value of the radius, we get:
Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2
Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.
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What is the value of x?
A) x = 32
B) x = 36
C) x = 37
D) x = 40
Step-by-step explanation:
x + (4x - 20) = 180
5x - 20 = 180
5x = 180 + 20
5x = 200
x = 200/5
x = 40°
Option → D
Answer:
\(x = 40\)
Answer D is correct
Step-by-step explanation:
Angles in a straight line is added up to 180°
Therefore,
\(x + 4x - 20 = 180 \\ 5x - 20 = 180 \\ 5x = 180 + 20 \\ 5x = 200 \\ \frac{5x}{5} = \frac{200}{5} \\ x = 40 \degree\)
Hope this helps you.
Let me know if you have any other questions:-):-)
The area of a circle with radius r is given by A = π r2. Find the area of a circle with radius 7 centimeters. Use 3.14 for π..
Step-by-step explanation:
Hey there!
Given;
Radius of a circle (r) = 7cm
Now;
We know that;
Area of circle (a) = π*(r^2)
= 3.14*(7^2)
= 3.14*49
= 153.86 cm^2
Therefore, the area of a circle is 153.86 cm^2.
Hope it helps...
help please on this
Answer:
there is not enough information because x and 55 are parrallel, not congruent.
Step-by-step explanation:
The cost of 2 footballs and 3 tennis balls is £21.73.
The cost of 5 footballs and 7 tennis balls is £53.20.
Work out the cost of
a) a football.
b) a tennis ball.
Answer: A) £7.49
B) £2.25
Step-by-step explanation:
Step 1:
Let the cost of a football be \(f\)and the cost of a tennis ball be \(t\).
Step 2:
Write the 2 equations we have from the given information:
\(2f + 3t = 21.73\) \( \textsf{(from the cost of 2 footballs and 3 tennis balls)} \)
\(5f + 7t = 53.20\) \( \textsf{(from the cost of 5 footballs and 7 tennis balls)} \)
Step 3:
Solve for one variable in one of the equations. For example, we can solve for \(f\)in the first equation:
\(2f + 3t = 21.73\)\(2f = 21.73 - 3t\)\(f = \frac{(21.73 - 3t)}{2}\)Step 4:
Substitute this expression for \(f\) into the second equation and solve for \(t\):
\(5f + 7t = 53.20\)\(5[\frac{(21.73 - 3t)}{2}] + 7t = 53.20\)\(54.325 - 7.5t + 7t = 53.20\)\(0.5t = 1.125\)\(t = 2.25\)So, the cost of a tennis ball is £2.25.
Step 5:
Substitute this value of \(t\) into the expression for \(f\) and solve for \(f\):
\(f = \frac{(21.73 - 3t)}{2}\)\(f = \frac{(21.73 - 3(2.25))}{2}\)\(f = 7.49\)So, the cost of a football is £7.49
Step 6:
Therefore, the cost of a football is £7.49 and the cost of a tennis ball is £2.25.
Find the slope of every line that is parallel to
the line on the graph
Answer:
\( - \frac{1}{6} \)
Step-by-step explanation:
Using the slope formula:
\( \frac{ - 1 - 0}{0 - ( - 6)} = - \frac{1}{6} \)
What is 8.118 divded by 0.615
Find x in the diagram below
The value of the angle x is 30 degrees
How to determine the valueTo determine the value of the variable x, we need to know the triangle sum theorem.
The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.
We should also note that angle at right angle is 90 degrees
Then, we have the angles written as;
90 degrees
2x degrees
x degrees
Equate the angles , we have;
2x + x + 90 = 180
collect the like terms, we have;
2x + x = 180 - 90
add or subtract the like terms, we have;
3x = 90
divide by the coefficient
x = 30
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Jennifer is shopping with her mother. They pay $2 per pound for tomatoes at the vegetable stand.
Figure out the amount of pounds in each tomato. Then multiply 2 by the number of pounds, then multiply by the number of tomatoes. Hope it helped <3
f(x)=x^2. What is g(x)?
Answer:
D, g(x) = 1/4 x^2
Step-by-step explanation:
You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.
What is the value of the expression?
C512
120
95,040
33,264
792
Answer: B.792
Step-by-step explanation:
PLEASE HELP ME QUICK!!!
Answer:
Option D. \(g(x)=5(0.8)^{x}+2\)
Step-by-step explanation:
Main concepts
Concept 1: identifying horizontal asymptote
Concept 2: assuring decreasing exponential function
Concept 1. identifying horizontal asymptote
Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis. A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number. Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units. Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.
Concept 2. assuring decreasing exponential function
Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".
If "b" is between 0 and 1 (a "small" number), the function will decrease.If "b" is larger than 1 (a "big" number), the function will increase.Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.
To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.
Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.
Which decimal number is equal to 3/18 ?
A. 0.167
B. 0.16¯
C. 0.16¯¯¯¯
D. 0.167¯¯¯¯¯
Answer:
Second option
Step-by-step explanation:
In order to find the answer to this question you have to divide the numerator into the denominator remembering that whole numbers have a secret decimal point to the right of itself.
\(\frac{3}{18}\)
\(\frac{3}{18} =3\div18\)
\(3\div18=0.16666666666\)
= 0.16666666666 or 0.16 repeating
Hope this helps.
Find the area if the figure, pls write calculations
Answer:
36 cm²Step-by-step explanation:
(2.4 * 12) + [2.4 * (18-12)] : 2 =
28.8 + [2.4 * 6] : 2 =
28.8 + 14.4 : 2 =
28.8 + 7.2
36cm²