Answer:
To solve the system of equations graphically, you can plot the two lines on a coordinate plane and find the point where they intersect, which represents the solution to the system.
First, let's start by rewriting the equations in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
For the first equation:
3x + y = 15
y = -3x + 15
For the second equation:
3x - 4y = 0
y = (3/4)x
Next, we can plot these two lines on a coordinate plane by using any two points on each line and connecting them with a straight line.
Once the lines are plotted, we can find the point where they intersect, which represents the solution to the system. In this case, the solution is (2, 9), meaning that at x = 2 and y = 9, both equations are satisfied.
So, the solution to the system of equations is (2, 9), which means that the two lines intersect at the point (2, 9).
Coins are placed into a treasure chest, and each coin has a radius of 1.6 inches and a height of 0.0625 inches. If there are 170 coins inside the treasure chest, how many cubic inches of the treasure chest is taken up by the coins? Round to the nearest hundredth and approximate using π = 3.14.
341.63 in3
106.76 in3
85.41 in3
0.50 in3
963.9 in³ cubic inches volume of the treasure chest is taken up by the coins .
What does math's volume mean?
The volume of a 3D object is the amount of actual space it occupies. It is a 2D shape's 3D equivalent of area. Cubic units, such as cm3, are used to measure it. You may calculate this by multiplying its length, height, and width.
Remember that the volume of a cylinder is given by:
volume = (height)*pi*(radius)^2
Where pi = 3.14
Then here the volume of each coin is:
V = (0.0625 in)*3.14*(1.7 in)^2 = 5.67 in³
And there are 230 coins, so the total volume is
V = 170 * 5.67 in³
= 963.9 in³
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Answer:
Step-by-step explanation:
the answer is 85.41 in^3
I got it right and I got to flvs .
Indicate whether each value will make the inequality 15<3x true. Drag True or False to the appropriate values: 5.6,5,3,6,7 3/4,4.5.
Answer:
So, for the values 5.6, 6, and 7, the inequality 15 < 3x is true. For the values 5, 3, 3/4, and 4.5, the inequality 15 < 3x is false.
Step-by-step explanation:
For the inequality 15 < 3x to be true, 3x must be greater than 15. To determine whether each value will make the inequality true, we can substitute each value for x and see if the inequality holds.
For x = 5.6, 3x = 16.8, which is greater than 15, so the inequality is true and the value 5.6 makes the inequality true.
For x = 5, 3x = 15, which is equal to 15, so the inequality is false and the value 5 does not make the inequality true.
For x = 3, 3x = 9, which is less than 15, so the inequality is false and the value 3 does not make the inequality true.
For x = 6, 3x = 18, which is greater than 15, so the inequality is true and the value 6 makes the inequality true.
For x = 7, 3x = 21, which is greater than 15, so the inequality is true and the value 7 makes the inequality true.
For x = 3/4, 3x = 2.25, which is less than 15, so the inequality is false and the value 3/4 does not make the inequality true.
For x = 4.5, 3x = 13.5, which is less than 15, so the inequality is false and the value 4.5 does not make the inequality true.
So, for the values 5.6, 6, and 7, the inequality 15 < 3x is true. For the values 5, 3, 3/4, and 4.5, the inequality 15 < 3x is false.
Mr. Jones' tally showed that 0.6 of
the students brought in scissors.
What fraction of the students did
not bring in scissors?
Answer:
Mr. Jones' tally showed that 0.6 of the students brought in scissors, so the remaining fraction of students would be 0.4 or 40%, who did not bring in scissors.
Step-by-step explanation:
simple
Answer:
40% of the students did not bring in scissors
Step-by-step explanation:
Since % means out of 1.
0.6 would equal 60%
1.0 - 0.6 = 0.4
Other forms of 0.4 would include:
0.40
40%
2/5s
4/10s
40/100s
Which transformation maps △UVW to △EFG?
The transformation that maps △UVW to △EFG is (d) (x, y) = (-2x, -2y)
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
The figure
From the figure, we can see that
Triangle EFG is twice the triangle UVW in side lengths
This means that
(x, y) = (2x, 2y)
The orientations are 180 degrees apart
So, we have
(x, y) = (-2x, -2y)
Hence, the transformation is (d) (x, y) = (-2x, -2y)
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community college faculty is negotiating a new contract with the school board. The distribution of faculty salaries is skewed right by several faculty members who make over $100,000 per year. If the faculty impression that they deserve higher sales should they a r e the meanor median of their current salaries? A. The faculty should use the mean to make their argument. The mean will be higher than the median since the mean is influenced by the few extremely high res.B. The faculty should use the mean to make o rgument. The man will be lower than the median since it will be henced by the few high salariesC. The faculty should use the median to make their argument. The median will be higher than the mean since the media is unced by the high e s D. The faculty should use the median to make their argument. The median will be lower than me since the means i nced by the extremely histories
Option D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is influenced by the few extremely high salaries.
Mean is the average of any data set whereas the median is the middle value we get after arranging the data in ascending order.
So for example, if the salaries of any 5 faculty members are as follows:
$10,000 , $50,000 , $80,000 , $150,000 , $160,000
Mean= (10,000+50,000+80,000+150,000+160,000) / 5
Mean= $90,000
Median= (5+1) / 2
Median= 6/2
Median= 3rd value
As the data is already arranged in ascending order, Median is $80,000
Hence, if the faculty want to give the community the impression that they deserve higher salaries, they should advertise the median of their current salaries.
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Determine the given lengths in the rectangle
Step-by-step explanation:
AC =18 (ac = bd opposite sides of a rectangle)
AB= 40(AB = CD)
AD = 22 ( ad = cb diagonals of a rectangle)
Solve. -9+4 - 6 + (-11)
Answer:
-9+4-6+(-11)=-9+4-6-11=-22
first -9+4 is -5-6=-11then-11 = -22
Tickets to a movie costs $7. 25 for adults and $5. 50 for students
The double-reciprocal transformation of the Michaelis-Menten equation, also called the Lineweaver- Burk plot, is given by
1/V_0 = K_m /(V_max[S]) + 1/V_max
To determine Km from a double-reciprocal plot, you would:
A) multiply the reciprocal of the x-axis intercept by -1.
B) multiply the reciprocal of the y-axis intercept by -1.
C) take the reciprocal of the x-axis intercept.
D) take the reciprocal of the y-axis intercept.
E) take the x-axis intercept, where V_0 = 1/2 V_max.
To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.
In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.
This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.
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solve for y -36=8y+4(y-6)
Answer: y= -1
Step-by-step explanation:
1) Distribute the 4 to the y and the -6 to get 4y-24, so our new equation is -36= 8y+4y-24.
2) Add like terms 8y and 4y to get 12y. Our new equation is -36=12y-24.
3) Remove the constant -24 by adding 24 to both sides to get -12=12y.
4) Remove the coefficient 12 by dividing 12 on both sides to get y= -1
Which kind of triangle is shown?
acute triangle
obtuse triangle
equilateral triangle
right triangle
The kind of triangle which is shown in the image is Obtuse triangle. The Option B is correct.
What is the features of Obtuse triangle?An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.
Characteristics of Obtuse Angled Triangle:
The sum of the two angles other than the obtuse angle is less than 90°.The side opposite the obtuse angle is the longest side of the triangle.An obtuse triangle will have one and only one obtuse angle. The other two angles are acute angles.Read more about Triangle
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need solution to this
Let's first understand what's relative here, it refers to Point of reference , the point, in respect to which other's position are to be considered, which here is O, the Origin with coordinates (0,0) as we are talking about two-dimensional reference frame. What position vector means? Say, we have the point of Reference X, and we've the position vector of Y with respect to X, then it can be written as [tex]{\overrightarrow{XY}}[/tex]. Now, using this simple rule we can have,
[tex]{\overrightarrow{OA}=-2\hat{i}+7\hat{j}}[/tex][tex]{\overrightarrow{OB}=2\hat{i}-\hat{j}}[/tex][tex]{\overrightarrow{OC}=6\hat{i}+\lambda \hat{j}}[/tex]Now, let's calculate [tex]{\overrightarrow{AC}}[/tex] firstly;
[tex]{:\implies \overrightarrow{AC}=\overrightarrow{OC}-\overrightarrow{OA}}[/tex]
[tex]{:\implies \overrightarrow{AC}=8\hat{i}+(\lambda -7)\hat{j}}[/tex]
Now, here [tex]{AC}[/tex] just means the the magnitude of the vector [tex{\overrightarow{AC}}[/tex], and we're aware that magnitude of a vector [tex]{\overrightarrow{X}=x\hat{i}+y\hat{j}}[/tex] is given by, [tex]{X=\sqrt{x^{2}+y^{2}}}[/tex], so according to question;
[tex]{:\implies \sqrt{64+(\lambda -7)^{2}}=17}[/tex]
Squaring both sides;
[tex]{:\implies (\lambda -7)^{2}=289-64=225}[/tex]
[tex]{:\implies \lambda -7=\pm 15}[/tex]
[tex]{:\implies \boxed{\underline{\bf{\lambda =22,\:or\:-8}}}}[/tex]
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40? (1 point)
Circle the best answer.
⦁ Multiply both sides by 2
⦁ Subtract 28 from both sides
⦁ Divide both sides by 2
⦁ Add 28 to both sides
subtract 28 from both sides ....
2x+28-28=40-28
2x= 12
x=12 Ans........
thank you!
An arithmetic sequence begins with 65, 56, 47, 38, 29 … Which option below represents the formula for the sequence? f(n) = 56 − 9(n) f(n) = 56 + 9(n −1 ) f(n) = 65 + 9(n −1 ) f(n) = 65 − 9(n − 1)
The formula (D) f(n) = 65 − 9(n − 1) represents the arithmetic sequence for 65, 56, 47, 38, 29 ….
What is an arithmetic sequence?An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k.
In a geometric sequence, each term rises by dividing by or multiplying by a certain constant k.
For instance, a1 = 25 and a(n) = a(n-1) + 5.
Each word in an arithmetic sequence increases by adding or subtracting a certain constant, k.
As opposed to a geometric sequence, where each term is increased by dividing or multiplying a certain constant k, this one does not.
For instance, a(n) = a(n-1) + 5 and a1 = 25.
So, we have the sequence:
65, 56, 47, 38, 29 …
Now, the difference is 65 - 56 = -9
Now, the first term is 65.
Then, the equation which represents its formula is f(n) = 65 − 9(n − 1).
Therefore, the formula (D) f(n) = 65 − 9(n − 1) represents the arithmetic sequence for 65, 56, 47, 38, 29 ….
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Complete question:
An arithmetic sequence begins with 65, 56, 47, 38, 29 … Which option below represents the formula for the sequence?
(A) f(n) = 56 − 9(n)
(B) f(n) = 56 + 9(n −1 )
(C) f(n) = 65 + 9(n −1 )
(D) f(n) = 65 − 9(n − 1)
John has 2 books. Peter has twice books more then John. How many books they have together?
John has average 2 books and Peter has 4 books. Together, they have 6 books.
John has 2 books
Peter has twice books more than John = 2 * 2 = 4 books
Total books they have together = 2 + 4 = 6 books
John has 2 books, so Peter has twice books more than John. This means that Peter has 2 * 2 = 4 books. Together, John and Peter have 2 + 4 = 6 books. John’s books are the starting point of the problem, so it is important to keep track of John’s books. Since Peter has twice books more than John, we can calculate the number of books that Peter has by multiplying the number of books that John has by two. Once we have calculated the number of books that Peter has, we can add the number of books that John has to the number of books that Peter has and get the total number of books that they have together. In this example, the total number of books that John and Peter have together is 6. This can be arrived at by adding the number of books that John has (2) to the number of books that Peter has (4).
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A researcher studied the relationship between the number of times a certain species of cricket will chirp in one minute and the temperature outside. Her data is expressed in the scatter plot and line of best fit below. Based on the line of best fit, what temperature would it most likely be outside if this same species of cricket were measured to chirp 120 times in one minute?
how would you describe the output of the graph for:
inputs from 0 to 1
inputs from 3 to 4
We can describe the output of the graph for:
inputs from 0 to 1 - slow output.inputs from 3 to 4 - rapid output.What is a Graph?This is referred to as a pictorial representation or a diagram that represents data or values in an organized manner.
From the graph given, we can deduce that the variation at 0-1 curve is small while the variation at 3-4 curve is large which is therefore the reason why slow and rapid output were chosen respectiviely.
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June has decided to take up quilting. She bought a sewing machine for $135. It costs her $11.75 in raw materials to make a quilt, and she can sell a quilt for $28.50.
Which of the following graphs best illustrates June’s situation?
Answer: The best graph to illustrate June's situation is a cost-volume-profit (CVP) graph, which shows the relationship between the revenue, cost, and volume of goods sold.
In June's case, her fixed costs (the cost of the sewing machine) are constant and do not change regardless of the number of quilts she makes and sells. Her variable costs (the raw materials) are directly proportional to the number of quilts she makes and sell. Her revenue is directly proportional to the number of quilts she sells.
The CVP graph will show a line representing fixed costs, a line representing variable costs, and a line representing revenue. The point at which the total costs (fixed costs + variable costs) equal the revenue represents the break-even point, at which June neither makes a profit nor incurs a loss. Beyond this point, June will make a profit, and before this point, she will incur a loss.
The CVP graph can be used to determine the break-even point and to make predictions about the future financial performance of a business, based on changes in volume, costs, or price.
Step-by-step explanation:
how many pattern block trapezoids would create 5 hexagons
There would be 30 trapezoids to create 5 hexagons.
An hexagon is a six-sided polygon. It is made up of six equilateral triangles and six trapezoids. To create an hexagon using pattern blocks, you need 10 equilateral triangles and 20 trapezoids. Therefore, to create 5 hexagons
The exact number of trapezoids needed to create three hexagons depends on the size and shape of the hexagons. However, in general, you would need at least 18 trapezoids.
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To create 5 hexagons using pattern block trapezoids, you would need 15 trapezoids. This is because 3 trapezoids form one hexagon.
Explanation:In geometry, a hexagon can be divided into 6 equilateral triangles. In the context of pattern blocks, these triangles are often used to construct other shapes. Now, considering that a trapezoid in pattern blocks is usually made up of 2 of these triangles, it takes 3 trapezoids to create one hexagon. Hence, to create 5 hexagons, you would need 5 x 3 trapezoids, which equals 15 trapezoids.
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Find the measure of each angle in the problem. 5) Complementary angles with measures 3x and 6x - 18 degrees
The measure of each angle in complementary angles with measures 3x and 6x - 18 degrees is 36° and 54°.
We are given two angles 3x and 6x - 18 and these angles are complementary angles.
Complementary angles are those whose combined angle is 90 degrees or less. In other terms, two angles are said to be complimentary if they combine to make a right angle.
So, sum of 3x and 6x - 18 is 90°
3x + 6x - 18 = 90°
9x = 108°
x = 12°
So, 3x = 3 × 12 = 36°
6x - 18 = 6 × 12- 18 = 54°
Hence, the measure of each angle is 36° and 54°.
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A
(12x-1)º
(10x)
C
Find m Z A.
(3x+6)°
B
The measure of angle A is 83 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
In the triangle ABC, ∠A=(12x-1)º, ∠B=10x and ∠C=3x+6
Now we need to find the value of angle A.
We know that from angle sum property that the sum of three angles is 180 degrees.
∠A+∠B+∠C=180
12x-1+10x+3x+6=180
25x+5=180
25x=175
Divide both sides by 25
x=175/25
x=7
Now angle A is 12(7)-1=84-1=83 degrees
Hence, the measure of angle A is 83 degrees.
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The complete question is In Triangle ABC, ∠A=(12x-1)º, ∠B=10x and ∠C=3x+6 then the measure of m∠A
Neeeeeed hellppppppppll
Answer:yes
Step-by-step explanation:correct becuase
Answer:
Answer is ADB
Step-by-step explanation:
I believe that's the answer
Paula fue al super mercado y para pagar su cuenta dio 360 si dio 120porciento de lo que tenia pagar. Pregunta cuanto le tuvieron que devolver de cambio
She had to pay they have to pay her back $ 132.
Multiply: -
Payback = 360 x 120/100
= 132
Payback is a financial metric that measures the time it takes to recover the initial investment cost of a project. It is commonly used in investment analysis to evaluate the viability of potential projects by estimating the time it takes for the project to start generating profits.
The payback period is calculated by dividing the initial investment by the expected cash flow of the project on an annual or monthly basis until the investment is fully recovered. The shorter the payback period, the more attractive the project is to investors. Payback is a simple and straightforward metric, but it has some limitations. It does not consider the time value of money or the long-term profitability of the project.
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Complete Question: -
Paula went to the supermarket and to pay her bill she gave $ 360 if she gave 120% of what she had to pay, how much did they have to pay her back?
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
The area of the shaded region is
The area of the shaded region is given as follows:
0.0475.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for the IQ scores are given as follows:
[tex]\mu = 100, \sigma = 15[/tex]
The shaded region is the area to the right of 125, hence it's area is one subtracted by the p-value of Z when X = 125, hence:
Z = (125 - 100)/15
Z = 1.67
Z = 1.67 has a p-value of 0.9525.
Hence:
1 - 0.9525 = 0.0475.
Missing InformationThe shaded region is the area to the right of 125.
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determine if its a depicts a function or not
The relations that are functions are 2, 3, 4, 5, 6, and 7.
The ones that aren't functions are 1 and 8.
Which relations are functions?A relationship maps elements from one set (the domain) into elements from another set (the range), and a relation is a function only if each element of the domain is mapped into only one value of tha range.
For example, if you look at the relation 8, you can see that the input x = 1 is mapped into two different outputs, then this is not a function.
With that in mind, the options that are functions are:
2, 3, 4, 5, 6, and 7.
The ones that aren't functions are 1 and 2.
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You buy 3 packs of toilet paper for $8.53 each. How much do you spend?
Answer: $25.59
Step-by-step explanation: you can multiply 3 times 8.53 which comes too $25.59 but we can add as well.
8.53 + 8.53= 17.06 Now we have to add it 1 more time soo
17.06 + 8.53= $25.59..
Hope this helps :)
Draw the right bisector of the line AB 7. 6 cm by using a pair of compasses
Right Bisector also known as Perpendicular Bisector is a line that bisects another line segment at a right angle, through the intersection point.
First we will draw a line segment AB = 7 cm with the help ruler, then with vertex A, by using compass take more than half of AB and draw arcs, one each side of AB and mark them X and Y and then with vertex B, by using compass with same length again, cut the previous arcs at X and Y respectively.
Now, with help of ruler join the point X and Y. Thus XY is the perpendicular bisector of line AB.
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reid takes a 2 quart pitcher of lemonade to the table and pours it all equally into 9 glasses how much lemonade went in each glass?
If reid takes a 2 quart pitcher of lemonade to the table and pours it all equally into 9 glasses, each glass contains approximately 0.888 cups (or 7/8 cups) of lemonade.
The problem states that Reid has a 2 quart pitcher of lemonade, which is equivalent to 8 cups. This is because there are 4 cups in one quart, so 2 quarts would be 2 x 4 = 8 cups.
Reid pours this entire amount of lemonade equally into 9 glasses. This means that the amount of lemonade in each glass will be the same. To find out how much lemonade goes in each glass, we need to divide the total amount of lemonade by the number of glasses.
We can use the following formula:
amount per glass = total amount / number of glasses
Plugging in the values we know, we get:
amount per glass = 8 cups / 9
Dividing 8 cups by 9 gives us a decimal value of 0.888..., which means that each glass contains approximately 0.888 cups of lemonade. This value is an approximation, since we rounded to the nearest thousandth place.
We can also express this value as a fraction by simplifying 0.888... as follows:
0.888... = 888.../1000...
= 8/9
Therefore, we can say that each glass contains 7/8 cups or approximately 0.888 cups of lemonade.
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Money McGuire invests $50.00 in an account that she expects to double each year. How long will it take her investment to reach $3,200.00?
Answer:
6 years
Step-by-step explanation:
You want the length of time it takes for a $50 investment to total $3200 if it doubles in value each year.
Exponential equationThe value of the investment can be described by ...
v = 50·2^t
where t is the number of years.
You want t when v=3200:
3200 = 50·2^t
64 = 2^t
log(64) = t·log(2) . . . . . take logarithms
t = log(64)/log(2) = 6
It will take 6 years for her investment to reach $3200.
__
Additional comment
If you're familiar with powers of 2, you recognize that 64 = 2⁶. Comparing exponents in ...
64 = 2^t
2^6 = 2^t . . . . . use 2^6 for 64
we can see that t=6. The logarithms are used to formalize this comparison.
Sue bought a dress that normally cost $50 .00 it was on sale for 25% off How much did she save?
Answer: 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.
Let's find 25% of 50.
Explanation:
25% of 50 can be written as 25% × 50
= 25/100 × 50
= 25/2 = 12½ = 12.5
Thus, 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.
