Answer:
$4.50
Step-by-step explanation:
First you find the cost of each orange
4 divided by 8 = 0.5
so if each orange is $0.5 you can multiply it by 9 which is the amount of oranges there are
9 * 0.5 = $4.50
Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.
The systems of linear equations have been matched with their respective solutions as shown in the image attached below.
What is a system of linear equations?A system of linear equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).
In this exercise, you're required to match the systems of linear equations with their respective solutions as shown in the image attached below.
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Cruz has been saving his earnings from his lemonade stand. Cruz has 100 dollars to spend. If he buys a new hat for 32 dollars, how many scarves can he buy with the remaining money if they cost 6 dollars each?
Answer:
11.
Step-by-step explanation:
100-32 = money after hat purchase
(100-32) dollars / 6 dollars / scarf = 11.33 or 11 scarves (because you cannot buy a fraction of a scarf)
joy needs to mix a 20% alcohol solution with a 40% alcohol solution to create 200 millileters of a 20% solution. how many millileters of each solution must joy use?
In linear equation, X = 200 millileters of each solution must joy use .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
X is the amount of the 20% saline solution
Y is the amount of the 40% saline solution
X + Y = 200
0.2X + 0.4Y = 0.20 * 200 = 40
Solving the first equation for Y and multiplying
the second equation by 10 to clear away the decimals
Y = 200 - X
2x + 4y = 400
2x + 4(200 - x) = 400
2x + 800 - 4x = 400
0 = 400 - 2x - 800 + 4x
0 = 2x - 400
400 = 2x
x = 200
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WIILL GIVE BRAINLIEST.
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
The graph is not a function of x because the line x = 0 intersects the graph at two points.
The graph is a function of x because the line x = 5 does not intersect the graph.
The graph is not a function of x because the line y = 0 intersects the graph at two points.
The graph is a function of x because the line y = 5 does not intersect the graph.
Answer:
C: The graph is not a function of x because the line y = 0 intersects the graph at two points.
Step-by-step explanation:
The line y = 0 will intersect the ellipse at the points, (-4 , 0) , (4 , 0)
46 people are going to the beach. Nine people can ride in each van. How many vans are needed?
Answer:
6
Step-by-step explanation:
No. of people going to beach = 46 .
Using Unitary Method ,
9 people can go in one van .
1 person can go in 1/9
46 people can go in 1/9 * 46 = 5.1
Since vans can't be in fraction , 1 extra van for 1 person is need that is for 46th person .
So total number of vans = 5 + 1 = 6
A home has a rectangular kitchen. If listed as ordered pairs, the corners of the kitchen are (8, 4), (−3, 4), (8, −8), and (−3, −8). What is the area of the kitchen in square feet?
20 ft2
46 ft2
132 ft2
144 ft2
If the corners of the kitchen are (8, 4), (−3, 4), (8, −8), and (−3, −8), the area of the kitchen is 132 square feet. So, the correct option is C.
To find the area of the rectangular kitchen, we need to use the formula for the area of a rectangle, which is A = L x W, where A is the area, L is the length, and W is the width.
From the given ordered pairs, we can determine the length and width of the rectangle. The length is the distance between the points (8,4) and (-3,4), which is 8 - (-3) = 11 feet. The width is the distance between the points (8,4) and (8,-8), which is 4 - (-8) = 12 feet.
Now that we know the length and width, we can find the area by multiplying them together:
A = L x W = 11 x 12 = 132 square feet
Therefore, the correct answer is C.
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Answer C. 132 fT2
Step-by-step explanation:
Assume that there is a large population and we would like to determine the number of respondents for a particular survey and suppose we want to be 99% confident allowing +/- 3% margin of error. Using the Cochran's formula, what is the desired sample size? Please write your answer in a form of whole number /discrete (eg. 258)
The desired sample size, according to Cochran's formula, is approximately 1067 respondents.
To determine the desired sample size using Cochran's formula, we need to know the population size (N) and the desired margin of error (E). Cochran's formula is given by:
n = (Z² * p * q) / E²
Where:
n = desired sample size
Z = Z-score corresponding to the desired confidence level (99% in this case)
p = estimated proportion of the population with a certain characteristic (we will assume 0.5 for a conservative estimate)
q = 1 - p (complement of p)
E = desired margin of error (0.03 or 3% in this case)
Since the population size is not provided in the question, we will assume a large population where the sample size does not affect the population proportion significantly. In such cases, a sample size of around 1000 is generally sufficient to ensure accuracy.
Using the provided information and assumptions, we can calculate the desired sample size:
n = (Z² * p * q) / E²
n = (2.58² * 0.5 * 0.5) / 0.03²
n ≈ 1067
Therefore, the desired sample size, according to Cochran's formula, is approximately 1067 respondents.
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Consider the following system of equations:
10x1 - 7x2 = 7
-3x1 +2.099x2 + 3x3 = 3.901 5x1 - x2 +5x3 = 6
The solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:
(a) x1 = -1.3991, x2 = -2.9987, x3 = 1.9993
(b) x1 = 2, x2 = 1.7776, x3 = 2.9999
(c) x1 = 1.8673, x2 = 1.6676, x3 = 2.0009
(d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088
In the problem,
the given system of linear equations are 10x1 - 7x2 = 7 ...
(i)-3x1 +2.099x2 + 3x3 = 3.901 ...
(ii)5x1 - x2 +5x3 = 6 ...
(iii)Now, the solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:
x1 = 1.8975, x2 = 1.6677, x3 = 2.00088So, option (d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088 is the correct answer. Therefore, option (d) is the right option.
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You deposit $1575 in a bank account that earns 3.75% interest per year for 5 years. How much will the balance be if it's compounded continuously?
the answer is $1899.81
To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?
After pumping all of container A into container B there will remain empty space in B = 78.5 ft³
The percentage for this empty space is of the entire volume is = 3.4 %
What is volume of cylinder?
Volume of cylinder is calculated as;
v = π r² h
Since, Container A has a diameter of 18 feet and a height of 9 feet.
Then, Radius = 18/2 = 9 ft
Hence, Volume of Container A = π r² h
= 3.1416 * 9 * 9 * 9
= 2,290.22 ft³
Since, Container B has a diameter of 16 feet and a height of 11 feet.
Then, Radius = 16/2 = 8 ft
Hence, Volume of Container B = π r² h
= 3.1416 * 8 * 8 * 11
= 2,211.68 ft³
After pumping all of container A into container B there will remain empty space in B = 2,290.22 - 2,211.68 = 78.5 ft³
And, The percentage for this empty space is of the entire volume is,
78.5/2,290.22 = 0.03427 *100 = 3.4 %
So, After pumping all of container A into container B there will remain empty space in B = 78.5 ft³
The percentage for this empty space is of the entire volume is = 3.4 %
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Please answer!
(1) what mistake was made?
(2) what suggestion could help avoid that?
Answer:
1) the signs of the numbers is not in standard form
2) always make sure that the signs of the two equations is standarised and then solve
please follow me
Which of the following best describes an unpredictable event?
OA. The winner of the last presidential election
OB. The winner of a presidential election 10 years from now
OC. The date of the last day of school
O D. The number of years until the next leap year
You have a Circle with a Radius of 3.5 what is the Radius?
A parallelogram has vertices A(0, 4), B(2, 2), C(4, 4), and D(2,6). Is this parallelogram a square? Explain why or why not.
If we take the adjacent side AD and DC and work out their slopes we get
AD = (6-4)/(2-0) = 1 and DC has slope (6-4)/(2-4) = -1 . This shows that the angle between the 2 lines is 90 degrees so it looks like this is a square. If you include the slopes of each adjacent line they are at right angles too. Now to prove its a square each line must be of equal length and you'll find this is the case too.
prisim a and prisim b have the same volume. which could be the dimensions of prisim b?
Answer:
length = 4 feet
width = 4 feet
height = 10 feet
Step-by-step explanation:
8x4x5 = 160
4x4x10 = 160
Answer:
length = 4 feet
width = 4 feet
height = 10 feet
Step-by-step explanation:
First we must find the volume of prism A
Assuming that the prism is a rectangular prism we can easily calculate the volume by multiplying the length by the width by the height
So V = 8 * 4 * 5
8 * 4 = 32
32 * 5 = 160
Hence, the volume of prism a is 160ft²
The question states that the volume of prism A is the same as the volume of prism B. Given that information we want to find the possible dimensions of prism B such that volume of prism A = volume of prism B.
We can do this by find the volume of each answer choice ( again, assuming that their rectangular prism )
For the first answer choice
4 * 4 * 10 = 160
160 = 160 however lets check the other answer choices.
For the second answer choice:
5 * 4 * 7 = 140
140≠160 therefore the second answer choice is not correct
For the third answer choice
8 * 4 * 6 = 192
192 ≠ 160 therefore the third answer choice is not correct
For the fourth answer choice
I can't see the dimensions, however we already know that the answer is the first answer choice.
3b) Two pizzas are made to the same dimensions. The only difference is that
Pizza 1 is cut into pieces at 30° angles and Pizza 2 is cut at 45° angles. They are
sold by the slice. The slices for Pizza 1 sell for $1.45/slice and the slices for Pizza 2
sell for $1.75/slice. What is the difference in total sales between Pizza 2 and Pizza
1?
Step-by-step explanation:
$0.30 because they only sell 30 cents less/more than each other
A bank manager estimates that 75% of the customers wait less than ten minutes in the
queue at the bank. To look into this estimation, a customer group conducted a survey
with a sample of 90 customers. It was found that 15% of the customers waited at least
ten minutes in the queue. At the level of significance = 0.01, is there enough
evidence to conclude that more than 75% of the customers wait less than ten minutes
in the queue at the bank?
Testing the hypothesis, it is found that since the p-value of the test is of 0.0143 > 0.01, there is not enough evidence to conclude that more than 75% of the customers wait less than ten minutes in the queue at the bank.
At the null hypothesis, it is tested if at most 75% of the customers wait less than ten minutes in the queue at the bank, that is:
\(H_0: p \leq 0.75\)
At the alternative hypothesis, it is tested if the proportion is of more than 75%, that is:
\(H_1: p > 0.75\)
The test statistic is given by:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
In which:
\(\overline{p}\) is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: \(p = 0.75, n = 90, \overline{p} = 1 - 0.15 = 0.85\)
Hence, the value of the test statistic is:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
\(z = \frac{0.85 - 0.75}{\sqrt{\frac{0.75(0.25)}{90}}}\)
\(z = 2.19\)
The p-value of the test is the probability of finding a sample proportion above 0.85, which is 1 subtracted by the p-value of z = 2.19.
Looking at the z-table, z = 2.19 has a p-value of 0.9857.
1 - 0.9857 = 0.0143.
Since the p-value of the test is of 0.0143 > 0.01, there is not enough evidence to conclude that more than 75% of the customers wait less than ten minutes in the queue at the bank.
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What does a linear equation look like?
Straight line or curved line
2(11+3n)=12n I really need help on this question?
Step-by-step explanation:
Combine like terms: 0 + -22 = -22
-6n = -22
Divide each side by '-6'.
n = 3.666666667
Simplifying
n = 3.666666667
Do 15 (mark brainlest
Answer:
C) 2297.5
Step-by-step explanation:
8.5 times 160 is 1360
1/32 of 30,000 is 937.5
1360 + 937.5 is 2297.5
A linear relationship is shown in the table.
Time (hours) 2 4 6 8
Distance (miles) 4 8 12 16
Is the linear relationship also proportional? Explain.
No, the constant of proportionality is 2.
Yes, the constant of proportionality is 2.
No, there is no constant of proportionality.
Yes, there is no constant of proportionality.
Answer:
It's B
"Yes, the constant of proportionality is 2."
Step-by-step explanation:
The time or X shows the same numbers shown in distance or Y
it's just Time x2 for distance
What is the remainder when the two-digit, positive integer x is divided by 3?
(1) The sum of the digits of x is 5
(2) The remainder when x is divided by 9 is 5
Answer:
22Step-by-step explanation:
You want the remainder of a number when divided by 3 if (1) the sum of digits is 5, and (2) the remainder from division by 9 is 5.
(1) Digit sum is 5The sum of digits of a 2-digit number will be 5 if that number is one of ...
{14, 23, 32, 41, 50}
In every case, the remainder when divided by 3 is 2. Effectively, it is the remainder of 5 when that is divided by 2.
(2) Mod 9 value is 5In addition to the numbers listed above, 2-digit numbers with a sum of digits of 14 will also have a remainder of 5 when divided by 9. This adds five more numbers to the list:
{59, 68, 77, 86, 95} . . . . have remainders of 5 when divided by 9
The remainders when divided by 3 are all 2 for these numbers as well.
__
Additional comment
The process of (recursively) summing the digits of a positive integer is called "casting out 9s". It effectively finds the modulo 9 value of the number, with the exception that a sum of 9 corresponds to a modulo 9 value of 0.
Since 9 is divisible by 3, the modulo 3 value of a number will be the modulo 3 value of the modulo 9 value. In other words, if the sum of digits is 5, or the remainder from division by 9 is 5, then the mod 3 value is 5 mod 3 = 2.
LOTS OF POINTS PLEASE HELP
Three Algebra 1 students are comparing how fast their social media posts have spread. Their results are shown in the following table:
Student Amber Ben Carter
Description Amber shared her photo with 3 people. They continued to share it, so the number of shares increases every day, as shown by the function. Ben shared his post with 2 friends. Each of those friends shares with 3 more every day, so the number of shares triples every day. Carter shared his post with 10 friends, who each share with only 2 people each day.
Social Media Post Shares f(x) = 3(4)x
Day Number of Shares
0 2
1 6
2 18 Carter shared his post with 10 friends, who each share with only 2 people each day.
Graph each function using at least three points for each curve. All graphs should be placed together on the same coordinate plane, so be sure to label each curve. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.
A graph of each of the exponential equation is shown in the image attached below.
What is an exponential function?In Mathematics, an exponential function can be modeled by using this mathematical expression:
f(x) = ab^x
Where:
a represents the initial value or y-intercept.x represents time.b represents the rate of change.Since Amber shared her photo with 3 people who continued to share it, an exponential function that models the situation is given by:
f(x) = 3(4)^x
Similarly, Ben's post was shared with 2 friends and each of them shared it with 3 more every day, tripling the number of shares every day, an exponential function that models the situation is given by:
g(x) = 2(3)^x
Lastly, an exponential function that represents the spread of Carter's social media post is given by:
h(x) = 10(2)^x
In this scenario, we would use an online graphing calculator to graph each function as shown in the image attached below.
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They continued to share it, so the number of shares increases every day, as shown by the function.
Social Media Post Shares f(x) = 3(4)x
Day Number of Shares
0 2
1 6
2 18 Carter shared his post with 10 friends, who each share with only 2 people each day.
Does y=-4/5x represent a direct variation is yes,identify the constant of variation
Answer:
Most likely yes... there is a problem in the way you asked your question ...
if the question is \(y = ( \frac{-4}{5}) x\) then the answer is yes and the constant is -4/5's
If by some chance the actual question is \(y = \frac{-4}{(5x)}\) (you can not tell by the way y0u presented tis problem.. then the answer would be NO it would be "inverse" relation
Step-by-step explanation:
Sin y = 4xy + x^2. Find dy/dx
Answer:
dy/dx=(4y+2x)/(cos y-4x)Step-by-step explanation:
Siny= 4xy +x²
dy/dx(cos y) =4y+ 4x(dy/dx)+2x
making dy/dx the subject
dy/dx(cos y)-4x(dy/dx)=4y+2x
dy/dx(cos y -4x)=4y+2x
dy/dx=(4y+2x)/(cos y -4x)
determine the measure of each missing angle in the triangle! HELPPP PLEASSEEEE!!!
Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer. = T(*1.X2 X3) = (x1 - 5x2 + 5x3, X2 - 8x3) + (a) Is the linear transformation one-to-one? O A. Tis not one-to-one because the columns of the standard matrix A are linearly dependent. B. T is not one-to-one because the columns of the standard matrix A are linearly independent. C. Tis one-to-one because the column vectors are not scalar multiples of each other. D. Tis one-to-one because T(x) = 0 has only the trivial solution. (b) is the linear transformation onto? A. Tis not onto because the standard matrix A does not have a pivot position for every row. B. T is onto because the columns of the standard matrix A span R? C. T is onto because the standard matrix A does not have a pivot position for every row. D. T is not onto because the columns of the standard matrix A span R2
the given transformation is not onto or Option D.The given transformation is one-to-one, but not onto.
To find if the given linear transformation is one-to-one, we check if the columns of the standard matrix, A are linearly independent or not. If the columns of A are linearly independent, then T is one-to-one. Otherwise, it is not. A transformation is one-to-one if and only if the columns of the standard matrix A are linearly independent.
The determinant of A is -41, which is non-zero. So the columns of the standard matrix, A are linearly independent. Therefore, the given transformation is one-to-one.Answer: Option C.(b) Is the linear transformation onto?
To find if the given linear transformation is onto, we check if the standard matrix A has a pivot position in every row or not. If A has a pivot position in every row, then T is onto.
Otherwise, it is not.The rank of A is 2. It has pivot positions in the first two rows and no pivot position in the last row.
Therefore, the given transformation is not onto. Option D.Explanation: The given transformation is one-to-one, but not onto.
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HELP ME ASAP I NEED HELP NOW
Zeros:
x = -2
x = 6
Smaller zero: -2
PLEASE HELP THIS IS DUE IN CLASS TODAY
Hey I dont know that answer but if you download Gaumath and take a picture of the problem the tutors on there will help you for free
which could be a graph of y=ax^4 + bx^3 + cx^2 + dx + e where a,b,c,d and e are real numbers not equal to 0 and a<0?
y=ax^4 + bx^3 + cx^2 + dx + e
Since a< 0 we know that it has to go to - infinity for x going to - infinity and x going to + infinity. That rules out choices B and C.
The maximum number of turning points a polynomial can have is n-1 where n is the degree of the polynomial
(turning points is change of direction)
The graph D has 5 turning points and the degree of the polynomial is 4 so it is not possible
A is your solution.