Taking into account the definition of a system of linear equations, James sold 5 boxes of cookies and 2 chocolate bars.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
This caseIn this case, a system of linear equations must be proposed taking into account that:
"x" is the amount of boxes of cookies sold."y" is the amount of chocolate bars sold.Yesterday, James sold $29 worth of cookies and chocolate at his store and he sold 7 items. Knowing that James sells cookies for $5 a box, and chocolate for $2 a bar, the system of equations to be solved is
\(\left \{ {{x+y=7} \atop {5x+2y=29}} \right.\)
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
Solving the variable "x" of the first equation, you obtain:
x= 7-y
Substituting this equation in the second you get:
5×(7-y) + 2y= 29
Solving:
5×7- 5×y + 2y= 29
35- 5y + 2y= 29
-5y + 2y= 29 - 35
-3y= -6
y= (-6)÷ (-3)
y= 2
Replacing in the expression x= 7-y, the value of "x" is calculated as:
x= 7-2
Solving:
x=5
Finally, James sold 5 boxes of cookies and 2 chocolate bars.
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Solve the formula for the specified variable
The variable k can be expressed as follows:
k = 2D / f
How to find the variable in an expression?A variable is a number represented by a letter in an equation or expression.
The variables in the given equation are D, f and k.
But we were asked to make the variable k the subject of the formula.
Therefore,
D = 1 / 2 f k
cross multiply
f k = 2D
divide both sides by f
Hence,
f k / f = 2D / f
k = 2D / f
Therefore, the variable k can be expressed as follows:
k = 2D / f
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Pythagorean Theorem (Please Answer)
Just Making sure I am correct, Yes or No. If I'm not correct please tell me how.
Answer:
ur right
Step-by-step explanation:
Which expression has a value of 13?
-12/6+ 7 - (-8)
-3 •2 - 19
4•5 -(-7)
5+11+(-3) - 6
Step-by-step explanation
Identify the number line that correctly displays the solution x ≥ 3.
The correct number line that displays the solution `x ≥ 3` would be:
<------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
●------------------------------------------------>
The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.
The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.
It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.
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What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer,
Answer:
\(2\)
Step-by-step explanation:
For this I would find two friendly points like (60,10) and (70,30). Now we will plug in for the slope-intercept formula \(m=\frac{y_2-y_1}{x_2-x_1}\).
So...
\(y_2=30\\y_1=10\\x_2=70\\x_1=60\)
Now we plug in and solve...
\(m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{30-10}{70-60}\\m=\frac{20}{10}\\m=\frac{2}{1}=2\)
So the slope will be 2.
This website ain't any help no body's helping me with ma questions
Answer: 240
Step-by-step explanation: V=whl=6·5·8=240
1. Thank me
2. Get nae naed
3. Get nae naed again
Thank you and have a great nae nae
someone pls help me i will give brainliest to the first to answer
Answer:
21 and 35
Step-by-step explanation:
21 for the first box, when it is in parenthesis you multiply each, so then 35 for the second box
7 times 3 then 7 times 5
Is (1,-3) a solution
Answer:
Yes
Step-by-step explanation:
I need help I will mark brainlist plz help
Answer:
yes there is room for Mr. Kastelan
Step-by-step explanation:
60-17=43 which leaves enough room for the teacher
Answer:
yes
Step-by-step explanation:
there are only 17 cars in the lot so there are still 43 more spots for him to park in.
Select the expressions whose value is 4.
0(-2)²
02(-2)
0-4÷2
0-41
Answer: The correct answer is A, \((-2)^{2}\).
Step-by-step explanation:
A negative multiplied with another negative is a positive. Squaring is multiplying an integer by itself. Thus, it would look like -2×-2, which is equal to 4. I hope this helps!! :)
helppppppppppp pleaseeeeeee
A psychology professor wants to know whether verbal ability is related to memory quality in current first-year students at her small college. Participants in the study (first-year students at her college) complete an online memory task. The students are first shown a list of 60 words. Next they are shown a list of 10 words that were on the original list. Then they are asked to identify the words on the second list that appeared on the original list. She uses the percentage of words that were correctly recognized on the original list as her measure of memory quality. She also asks the students to report several characteristics such as their age, gender, and verbal SAT score. Each of the 750 first-year students (338 males and 412 females) at her school volunteers to participate. The professor chose 75 students at random to complete the memory task and answer the questions. The average percentage of words that were correctly recognized on the original list was 68%. The professor infers that if all 750 first-year students had completed the study, the results would show that an average of 68% (plus or minus sampling error) of the words were correctly recognized as being on the original list. Which of the following are variables in the study? Check all that apply.
A. The students' verbal SAT scores
B. The students' percentage of words that were correctly recognized on the original list
C. The 75 students
D. The 750 students
Answer:
The variable are
A and B
Step-by-step explanation:
Generally we can define a variable as a name of a placeholder representing a value now considering the option to be selected from we see that
The students' verbal SAT scores is a variable because it is a phrase or a place holder that represent a value (in the is case a numerical value) which the score its self
The second option The students' percentage of words that were correctly recognized on the original list is also a variable because it is a placeholder of a name (in this case a phrase ) that represented the actual value itself
The third option The 75 students is not a variable because it is not representing any value but itself is the value
The third option The 750 students is not a variable because it is not representing any value but itself is the value
last year wendy earned $36,825. from this amount, &3830.50 was spent on food. what percent of her income went to food, to the nearest tenth of a percent?
Answer:
10.4%
Step-by-step explanation:
percent = part/whole * 100%
percent = $3830.50/$36,825 * 100%
percent = 10.4%
9) Write an equation in point-slope form for the given point and slope:
Point: (-8, 3)
Slope: 6
Answer:
I believe its y=6x+51
Step-by-step explanation:
which of the following years were leap years according to the calendar used before the time of pope gregory: 1000, 1492, 1600, 1776?
The probability 1000, 1600, and 1776 were leap years according to the calendar used before the time of pope gregory, but 1492 was not.
The calendar used before the time of Pope Gregory was the Julian Calendar, which was introduced by Julius Caesar in 46 BC. This calendar used a system of leap years, where an extra day was added to the month of February every four years. This was to account for the fact that a solar year is slightly longer than 365 days. For a year to be a leap year under this system, it must be divisible by 4. Therefore, 1000, 1600, and 1776 were leap years according to the Julian Calendar, but 1492 was not since it is not divisible by 4. This calendar was replaced by the Gregorian Calendar in 1582, which uses a slightly modified leap year system. Under this system, a year is only a leap year if it is divisible by 4, but not if it is divisible by 100, unless it is also divisible by 400. Therefore, 1600 would still be a leap year under the Gregorian Calendar, but 1700, 1800, and 1900 would not be.
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Which number is prime?
1) 19
2)14
3)10
4)20
Answer: 19
Step-by-step explanation:
number 19 is a prime number
Hello and Greetings YourDeath1.
The prime number is the number 19, since it is only divisible by 1 and itself, while the other numbers (14, 10, and 20) are divisible by other numbers besides 1 and themselves, making them composite numbers.
Option 1 being correct. (19)Step-by-step explanation:We are going to have which of the options in a prime number.
What is a prime number?A prime number is a natural number greater than 1 that has exactly two different divisors, that is, it is only divisible by 1 and itself.
Prime numbers are important in mathematics and cryptography, since they are the basis for the factorization of integers and the security of encryption systems.
We see which of all is a prime number:1. The number 19 is a prime number because it is only divisible by 1 and itself. That is, it has no more exact divisors than these two numbers. There is no other number that can divide 19 without leaving a remainder.
19/1 = 1919/19 = 12. The number 14 is a composite number because it has more than two exact divisors. In this case, 14 is divisible by 1, 2, 7, and 14. Therefore, it is not a prime number.
14/1 = 1414/2 = 714/7 = 214/14 = 13. The number 10 is a composite number because it has more than two exact divisors. In this case, 10 is divisible by 1, 2, 5, and 10. Therefore, it is not a prime number.
10/1 = 1010/2 = 510/5 = 210/10 = 1The number 20 is a composite number because it has more than two exact divisors. In this case, 20 is divisible by 1, 2, 4, 5, 10, and 20. Therefore, it is not a prime number.
20/1 = 2020/2 = 1020/4 = 520/5 = 420/10 = 220/20 = 1The prime number is the number 19, since it is only divisible by 1 and itself, while the other numbers (14, 10, and 20) are divisible by other numbers besides 1 and themselves, making them composite numbers.
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find the length of the missing side
sorrbut is this phythagroas theorm
Answer:
\(\sqrt{51}\)
Step-by-step explanation:
It's a right triangle so, \(a^{2} +b^{2} =c^{2}\)
a=7
c=10
b=?
49+\(b^{2}\)=100
100-49=\(b^{2}\)
51=\(b^{2}\)
b=\(\sqrt{51}\)
HELP PLEASE!!! BESTIE ANSWER GETS BRAINLYEST:D
A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool. Each minute, the faucet allows 14 2/3 gallons of water to enter the pool, and the drain allows 16 3/4 gallons to leave the pool.
What is the change of the amount of water after 1 1/2 minutes?
Answer as a simplafied mixed number
Answer:
2.083
Step-by-step explanation:
Answer:
25/12
Step-by-step explanation:
......... ..................
HELP HELP HELP!!!!!!!!!!
Answer:
\(\sqrt{3}\) > 1
Step-by-step explanation:
\(\sqrt{2}\) > \(\pi\) is false.
\(\sqrt{4}\) > \(\pi\) is false.
\(\sqrt{3\\}\) > 2 is false.
Fiad the sample variance and standard deviation.
21, 10, 3, 7, 11
Answer:
SD = 5.987, Var(X) = 35.85
Step-by-step explanation:
Apply the standard deviation formula, remembering that n represents the sample size. Then, just take the square of the standard deviation to obtain the variance.
Hope this helps!
If a-1/a=7 what find the value of a4+1/a4
Which triangles are similar to △A, B, C? Triangle. Side A C has a side length of eight. Side length A B has a side length of five. Side length B C has a side length of seven. Triangle A B C. Side A C has a side length of eight. Side length A B has a side length of five. Side length B C has a side length of seven. Choose 1 answer: Choose 1 answer: (Choice A) Triangle D E F. Side D E has a side length of ten. Side length E F has a side length of ten. Side length D F has a side length of ten. △ D, E, F . Side D E has a side length of ten. Side length E F has a side length of ten. Side length D F has a side length of ten. △ � Triangle G H I. Side G H has a side length of six. Side length H I has a side length of nine. Side length G I has a side length of ten. △ G, H, I only B Triangle G H I. Side G H has a side length of six. Side length H I has a side length of nine. Side length G I has a side length of ten. △ , I only (Choice C) Both (Choice D) Neither
its the geometry - Similarity : unit test / high school
The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.
If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.
In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.
Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.
Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.
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Complete Question:
Define triangle is △ABC similar to Similarity property and why?
Which triangle is △abc similar to and why? responses △abc is similar to △ghi by aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , , a a similarity postulate, ., △abc is similar to △jkl by aa similarity postulate. triangle a b c, is similar to , triangle j k l, by , , a a similarity postulate, , . △abc is similar to △def by aa similarity postulate. triangle a b c, is similar to , triangle d e f, by , , a a similarity postulate, , . △abc is not similar to any of the triangles given.
Which equation describes the graph?
Answer:
y=(-3/5)x + 5
Step-by-step explanation:
Looking at the graph, we can see two clear points; (0,5) and (5, 2). We know that the y-intercept is (0,5) so the b value of the standard form of a line, y=mx+b, is 5. Since we know two points, we can figure out the slope. So, the slope is (5-2)/(0-5) = 3/-5. Therefore the equation of this line is y=(-3/5)x+5. We can check this answer by plugging in points.
Expresión de la suma 3x,x,2y y-5y
Therefore , the solution of the given problem of expression comes out to be 4x -2y is the sum of given expression.
Expression : what is it?Multiplying, dividing, adding, and subtracting are necessary math operations. When combined, the following expression would appear: A mathematical operator, some data, and an equation Values, variables, and functions make up a statement of fact's constituent parts, such as additions, deductions, multiplications, divisions, etc. It is possible to contrast and compare words and phrases.
Here,
Given :
expressions are : 3x,x,2y and y-5y
To find the sum of the expression ,
We add them:
=> 3x+ x+2y+y-5y
=> 4x+3y-5y
=>4x -2y
Therefore , the solution of the given problem of expression comes out to be 4x -2y is the sum of given expression.
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Jacob spent 5 hours skiing and snowboarding. He skied for 2 hours 10 minutes.
How long did he spend snowboarding?
Answer:
he spent 2hours 50minutes snowboarding
the time he spent skiing and snowboarding minus the time he skied
5hours minus 2hours 10minutes
Suppose 30% of the U.S. population has green eyes. If a random sample of size 1200 U.S. citizens is drawn, then the probability that less than 348 U.S. citizens have green eyes is _______.
Answer:
P(X is less than 348) = 0.2148
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.3
Sample size = 1200
Let X be the random variable that obeys a binomial distribution. Then;
\(X \sim Bin(n = 1200,p =0.3)\)
The Binomial can be approximated to normal with:
\(\mu = np = 1200 \times 0.3 \\ \\ \mu= 360\)
\(\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875\)
To find:
P(X< 348)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5
Normal distribution:
x = 347.5, \(\mu\) = 360, \(\sigma\) = 15.875
Using the z test statistics;
\(z = \dfrac{x - \mu}{\sigma}\)
\(z = \dfrac{347.5 - 360}{15.875}\)
\(z = \dfrac{-12.50}{15.875}\)
z = -0.7874
z ≅ - 0.79
The p-value for P(X<347.5) = P(Z < -0.79)
From the z tables;
P(X<347.5) = 0.2148
Thus;
P(X is less than 348) = 0.2148
Which of these graphs represents a function? Please help
Answer:
Top Right Graph is the only function.
Step-by-step explanation:
Imagine a vertical line moving from left to right over the entire width of the graph. If at any position, the line intersects more than one point on the graph, the graph is not a function. This is called the vertical line test.
The only graph that passes the vertical line test is the top right graph. All other graphs fail the vertical line test because a vertical line intersects more than one point at some position.
Using the function concept, it is found that graph x represents a function.
----------------------------
A function is only represented if each value of the input only has one respective value of output.In a graph, for one value of x(horizontal axis), there can only be one respective value of y(horizontal axis).This can be verified applying the vertical line test. It is a function if the line crosses the function only once.In the appended image, it can be see that on graphs w, y, and z, the line crosses the function more than once, thus, they are not functions.Then, graph x is a function, as there are no points aligned vertically.A similar problem is given at https://brainly.com/question/12463448
if you are asked to find the value of the 100th term of a sequence, would you use the explicit formula for that sequence or the recursive formula?
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
We know that,
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
a_n = a_1 + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
The major distinction between recursive and explicit formulas is that a recursive formula returns the value of a particular term depending on the preceding term, whereas an explicit formula returns the value of a given term based on its location.
When the value of the first term and the common difference is known then an explicit formula is used, while the recursive formula will be used when the value of the previous value is known and the value of the common difference is known.
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complete question:
what is the difference between the explicit formula and recursive formula for sequences when would you use one over the other
The area of a rectangle is 245.25. If it has a width of 14 1/4, what is the length?
Answer:
3 6 8
Step-by-step explanation:
i just need them points.
Help and i will give brainliest no links 5/9−(−3 1/3) (the pics just for fun)
Answer:
3.88888888889
Step-by-step explanation: