Answer:
7 months
Step-by-step explanation:
Spotify is better
Have a great day
It is a problem about the systems of equations that do not arise.
It is desired to distribute 420 € among three people, so that the first has €40 more than the second, and the third has half of what they have between the first two.
a) It proposes a system of linear equations to calculate what corresponds to each one. b) It solves, using the Gauss method
The solution to the equations is
The value of first x = € 160
The value of second y = € 120
The value of third z = € 140
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first , second and third be represented as x , y , and z
The total amount to be distributed = € 420
So , x + y + z = € 420 be equation (1)
Now , first has €40 more than the second
So , x = y + 40 be equation (2)
And , third has half of what they have between the first two
So , z = ( 1/2 ) ( x + y ) be equation (3)
Substituting the value of x in the equation (3) , we get
z = ( 1/2 ) ( 2y + 40 )
z = y + 20 be equation (4)
Substituting the value of z and x in equation (1) , we get
( y + 40 ) + y + ( y + 20 ) = 420
On simplifying the equation , we get
3y + 60 = 420
Subtracting 60 on both sides of the equation , we get
3y = 360
Divide by 3 on both sides of the equation , we get
y = € 120
Therefore , the value of x = € 160
The value of z = € 140
Hence , the solution to the equation is € 160 + € 120 + € 140 = € 420
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
One computer in a lab is programmed to back up data at the turn of the minute every five minutes. Another computer is programmed to back up data at the turn of the minute every two minutes. Find the number of times in twenty-four hours that the two computers back up data at the same time.
(Assume that the computers do not back up at the start of the 24-hour period.)
The number of times which the two computers back up at the same time in twenty four hours as required is; 144.
How many times does the computers back up at the same time in 24 hours?It follows from the task content that the first computer backs up after every five minutes and the second computer backs up every two minutes.
On this note, the least common multiple of both backup times represents when the two computers back up at the same time.
Hence, since the LCM of 5 and 2 is; 10.
It follows that the two computers back up at the same time after every ten minutes.
Ultimately, the number of times for which they backup at the same time in 24 hours; since 60 minutes = 1 hour is;
= ( 24 × 60 ) / 10
= 24 × 6
= 144 times.
Read more on LCM;
https://brainly.com/question/20877026
#SPJ1
Graph the image of square CDEF after a dilation with a scale factor of 2, centered at the
origin.
pls help lol
Answer:
Image attached
Step-by-step explanation:
Origin looks to be (0, -1), so move each point out by 2
Please help with this question if you can
Answer:
5.1
Step-by-step explanation:
so the leaning ladder makes a right angled triangle so we can use pythagoras to calculate the the length (the hypotenuse):
5²+1²=x²
25+1=x²
√26=x
x=5.099...
and now we round to one d.p so it becomes 5.1 (1 d.p) as the hundreths digit is 9 and 9 is rounded up.
helpppppppppppppppppppppppppp
Step-by-step explanation:
[tex]2\pi {r}^{2} + 2\pi rh[/tex]
[tex]2(3.14) {(20)}^{2} + 2(3.14)(20)(11)[/tex]
[tex]6.28(400) + 6.28(220) \\ 2512 + 1381.6 = 3893.6 {mi}^{2} [/tex]
9. The following illustration represents the height beam on the adult scale. Each small line represents 1/4 inch.
Each long line represents 1 inch. From the bottom to the break, readings are taken in an upward direction.
If a patient is taller than 50 inches, readings are taken in a downward direction and recorded directly at the
break in the scale.
Answer:
Helloooooooooo theree
Answer:
don't
Step-by-step explanation: it hard
A container has 2 cups of milk in it. How many 1/4 cups are in the container?
Explain or show your reasoning.
What is the coefficient in this expression?
12 - x + 3
The coefficient is -1
Keith Martin is the controller for Daniels Printing Service. Keith has been putting in a lot of overtime; therefore, Mr. Daniels has allowed Keith to hire an assistant. Keith’s assistant is a bright, high school graduate, but he has never taken an accounting class. Keith is trying to decide which accounting activities he should delegate to his assistant. Keith is willing to give the assistant a few simple instructions on how to complete each task, but he doesn’t have time to teach the assistant to be an accountant
The tasks that Keith can delegate to the assistant are List the account balances from the general ledger in the Trial Balance columns of the end-of-period spreadsheet, Add the Debit and Credit columns of the trial balance and Type the formal financial statements using the data from the Income Statement and Balance Sheet columns of the spreadsheet.
List the account balances from the general ledger in the Trial Balance columns of the end-of-period spreadsheet: Keith should delegate this task to his assistant. This is a relatively straightforward task that does not require a deep understanding of accounting principles. The assistant can be provided with clear instructions on how to pull the account balances from the general ledger and list them in the trial balance columns of the spreadsheet.
Add the Debit and Credit columns of the trial balance: Keith should delegate this task to his assistant. This is a simple arithmetic task that the assistant can perform with clear instructions.
Make the adjusting entries on the spreadsheet: Keith should retain this task. Adjusting entries involve more complex accounting knowledge and require a deeper understanding of accounting principles. It would be difficult for the assistant to complete this task without proper training.
Complete the spreadsheet: Keith should retain this task. This task requires a deep understanding of accounting principles and an understanding of how the various accounts and transactions relate to each other. It would be difficult for the assistant to complete this task without proper training.
Type the formal financial statements using the data from the Income Statement and Balance Sheet columns of the spreadsheet: Keith should delegate this task to his assistant. The assistant can be provided with clear instructions on how to organize the data from the spreadsheet into formal financial statements. It does not require a deep understanding of accounting principles.
Journalize and post the adjusting entries: Keith should retain this task. This task requires a deep understanding of accounting principles and an understanding of how the various accounts and transactions relate to each other. It would be difficult for the assistant to complete this task without proper training.
--The question is incomplete, answering to the question below--
"Keith Martin is the controller for Daniels Printing Service. Keith has been putting in a lot of overtime; therefore, Mr. Daniels has allowed Keith to hire an assistant. Keith's assistant is a bright, high school graduate, but he has never taken an accounting class. Keith is trying to decide which accounting activities could be delegated to his assistant. Keith is willing to give the assistant a few simple instructions on how to complete each task, but he doesn't have the time to teach the assistant to be an accountant.
For each task listed, state whether Keith should continue to do the work or delegate the task to his assistant. Explain each answer.
1. List the account balances from the general ledger in the Trial Balance columns of the work sheet.
2. Add the Debit and Credit columns of the trial balance.
3. Make the adjusting entries on the work sheet.
4. Complete the work sheet.
5. Type the formal financial statements using the data from the Income Statement and Balance Sheet columns of the work sheet.
6. Journalize and post the adjusting entries."
To know more on accounting tasks
https://brainly.com/question/6356744
#SPJ4
What is the measure or a
The measures of the angles of the parallelogram are
The measure of ∠A = 72°
The measure of ∠B = 108°
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , the measure of ∠A = ( 5y - 3 )°
The measure of ∠C = ( 3y + 27 )°
For a parallelogram , opposite angles are congruent
So , measure of ∠A = measure of ∠C
Substituting the values in the equation , we get
( 5y - 3 )° = ( 3y + 27 )°
On simplifying the equation , we get
( 5y - 3 ) = ( 3y + 27 )
Subtracting 3y on both sides of the equation , we get
2y - 3 = 27
Adding 3 on both sides of the equation , we get
2y = 30
Divide by 2 on both sides of the equation , we get
y = 15
So , the measure of ∠A = ( 5y - 3 )°
The measure of ∠A = ( 5 ( 15 ) - 3 ) )°
The measure of ∠A = ( 75 - 3 )°
The measure of ∠A = 72°
Now , for a parallelogram , same-side interior angles (consecutive angles) are supplementary
So , the measure of ∠A + the measure of ∠B = 180°
Substituting the values in the equation , we get
72° + the measure of ∠B = 180°
Subtracting 72° on both sides of the equation , we get
The measure of ∠B = 108°
Hence , the measures of angles of the parallelogram are 72° and 108° respectively
To learn more about parallelogram click :
https://brainly.com/question/23488153
#SPJ1
What Is 8 1/8 - 4 3/8
Answer:
3 3/4 or 3 6/8
Step-by-step explanation:
hope this helps <3
You have four sweaters, five pairs of pants, and three pairs of shoes. How many different combinations can you make, wearing one of each
Therefore, 60 different combinations can be made wearing one of each type
What is Fundamental Counting Principle? If an event can occur in m different ways, and another event can occur in n different ways, then the total number of occurrences of the events is m × n.This video uses manipulatives to review the five counting principles including stable order, correspondence, cardinality, abstraction, and order irrelevance. When students master the verbal counting sequence they display an understanding of the stable order of numbers.Fundamental Principle of Counting helps to determine how selection is done on the basis of available choices. Fundamental Principle of Counting simplifies the approach of selection considering all the possible choices and their combinations for calculating the ProbabilityThe fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. Example 1: Suppose you have 3 shirts (call them A , B , and C ), and 4 pairs of pants (call them w , x , y , and z ). Then you have. 3×4=12.To learn more about Fundamental Counting Principle refers to:
brainly.com/question/10275154
#SPJ4
Can u help me with this
Answer:
D) (6.6, 7.4)
Step-by-step explanation:
Begin by finding the margin of error based on the given information.
[tex]\boxed{\begin{minipage}{7.3cm}\underline{Margin of Error formula}\\\\$\textsf{Margin of Error}= Z \times \dfrac{S}{\sqrt{n}}$\\\\where:\\\phantom{ww} $\bullet$ $Z =$ $Z$ score\\\phantom{ww} $\bullet$ $S =$ Standard Deviation of a population\\\phantom{ww} $\bullet$ $n =$ Sample Size\\\end{minipage}}[/tex]
Given:
S = 1.3n = 50The z-score for 95% confidence level is 1.96.
Therefore, to find the margin of error, substitute the values into the formula:
[tex]\implies \textsf{Margin of Error}= 1.96 \times \dfrac{1.3}{\sqrt{50}}[/tex]
[tex]\implies \textsf{Margin of Error}=0.360341...[/tex]
To find a reasonable range for the true mean number of hours a teenage spend on their phone, subtract and add the margin of error to the given mean of 7 hours:
[tex]\begin{aligned}\implies \textsf{Lower bound}&=7-0.360341...\\&=6.63965...\\&=6.6\;\; \sf (1\;d.p.)\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{Upper bound}&=7+0.360341...\\&=7.360341...\\&=7.4\;\; \sf (1\;d.p.)\end{aligned}[/tex]
Therefore, the reasonable range for the true mean is:
(6.6, 7.4)Consider the quadratic equation x? = 4x - 5. How many solutions does the equation have? A The equation has one real solution. The equation has two real solutions. The equation has no real solutions. D The number of solutions cannot be determined
Answer:
{-1, 5} (two real solutions).
Step-by-step explanation:
On the left side we want x^2, not x?
We need to rewrite x? = 4x - 5 in standard form, that is, as a quadratic with x terms in decreasing powers of x:
x^2 - 4x + 5 = 0
This factors easily to (x - 5)(x + 1) = 0.
We let each factor equal zero (0) separately and solve for x:
{-1, 5} (two real solutions).
How do you write no solution?
No solution is when a system of equations has no solution. This means that the equations are inconsistent, and there is no set of values that can make the equations true.
For example, if the system of equations is 2x + 3y = 4 and 2x + 3y = 5, then there is no solution. This is because no matter what values are chosen for x and y, the equations cannot both be true. This means that the system of equations is inconsistent, and there is no solution.
To symbolically represent no solution, you can use the following notation:
2x + 3y = 4, 2x + 3y = 5 No solution
This notation is used to indicate that the equations are inconsistent and that there is no solution.
Complete question: What is the solution to the equation 2x + 3y = 4 and 2x + 3y = 5?
Learn more about no solution here:
https://brainly.com/question/545403
#SPJ4
Find the distance between the pair of points.
(−6, 4) and (−9, 4)
Answer:
6
Step-by-step explanation:
6
Composite Figures Question 9.
A. 57 ft
B. 288 ft
C. 208 ft
D. 264 ft
Answer:
D
Step-by-step explanation:
find area of first rectangle
18 x 6 = 108
find area of second rectangle
20 x 5 = 100
find area of two triangles
7 x 8 =56
56/2 = 28
each triangle has an area of 28
28+28+100+108 = 264ft
Please hurry it is timed and i need help!
The best option regarding the solutions of the trigonometric equation presented in this problem is given as follows:
A. 60º + n360º, 300º + n360º.
How to solve the trigonometric equation?The trigonometric equation for this problem is defined as follows:
[tex]\cos{x} - \sqrt{1 - 3\cos^2{x}} = 0[/tex]
Then, isolating the cosine, we have that:
[tex]\cos{x} = \sqrt{1 - 3\cos^2{x}}[/tex]
Applying the square for both sides, we have that:
cos²(x) = 1 - 3cos²(x).
4cos²(x) = 1.
cos²(x) = 1/4
cos²(x) = 0.25.
Applying the square root to both sides, we have that:
cos(x) = 0.5.
Meaning that the angle measures of x with the cosine of 0.5 are given as follows:
x = 60º, x = 300º.
(as the cosine is positive on the first and fourth quadrant).
One entire lap over the unit circle is equivalent to 360º, hence adding 360º n times to any of these solutions is also a solution to the trigonometric equation, meaning that option a is correct.
More can be learned about trigonometric expressions at https://brainly.com/question/24349828
#SPJ1
Plz help will mark brainliest
IS THERE A SOLUTION ?? IF SO , WHAT IS IT ?? PLEASE HELP !! I WILL MARK BRAINLIEST !!!!
Answer:
y=4x+2
Step-by-step explanation:
-8x+2y=4
y=4x+2
−8x+2(4x+2)=4-8x+2(4x+2)=4
y=4x+2
−8x+8x+4=4-8x+8x+4=4
y=4x+2
0+4=40+4=4
y=4x+2
4=4
y=4x+2
The distance between two points A and B on latitude 60°S along their parallel of latitude is 2816km. (I) calculate the angular difference in their longitudes (ii) if A is due west of B and on longitude 20°W, find the longitude of B
Answer:
i) The angular difference in their longitude is approximately 50.65°
ii) The line of longitude where B is located is approximately 30.65°E
Step-by-step explanation:
The given parameters are;
The angle of latitude where the points A and B are located = 60°S
The distance between points A and B = 2,816 km
(i) The angular difference in their longitude, θ, is given as follows;
θ = 2,816/(2 × π × 6,371 × cos(60°)) × 360 ≈ 50.65°
The angular difference in their longitude, θ ≈ 50.65°
(ii) The location of the point A relative to B = Due west
The line of longitude on which A is located = 20°W
∴ The line of longitude where B is located, P = θ - 20°
∴ P = 50.65° - 20°W = 30.65°E
The line of longitude where B is located ≈ 30.65°E.
Quadrilateral STUV is rotated 270° counterclockwise about the origin. If the coordinates of V were (3, -4), what are the coordinates of V’?
Given:
Quadrilateral STUV is rotated 270° counterclockwise about the origin.
The coordinates of V were (3, -4).
To find:
The coordinates of V’.
Solution:
If a figure rotated 270° counterclockwise about the origin, then the rule of rotation is:
[tex](x,y)\to (y,-x)[/tex]
The coordinates of V were (3, -4). Using the above rotation rule, we get
[tex]V(3,-4)\to V'(-4,-3)[/tex]
Therefore, the coordinates of V’ are (-4,-3).
PLEASE SOMEONE HELP MEEEE I AM LITERALLY FRYING NY BRAIN. NO LINKS OR I WILL REPORT YOU... PLEASE AND THANKS
Answer:
1. True
2. False
3. True
4. False
Step-by-step explanation:
please answer asap!
Answer:
10.2 is the answer not sure
Time vs. Position of Battery Operated Car
5
4
Position (m)
2
0
5
10
Time (s)
15
20
What type of relationship is shown in the graph?
a non-linear, negative relationship
a linear, negative relationship
a linear, positive relationship
O a non-linear, positive relationship
A linear, negative relationship is the type of relationship which is shown in graph of Time vs. Position of Battery Operated Car .
what is linear equation ?A linear equation is an algebraic expression such as y=mx+b. The slope is m, and the y-intercept is B. A "linear equation in two variables" is the term used to describe the previous sentence, which has variables named y and x. Two different variables can be found in bivariate linear equations. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. The term "linear" refers to an equation having the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
The area's 46-16 opposed to 14 is different from the area's 18 and T in a different way. The place is there. It isn't linearly getting farther apart. The lee is actually growing as a result.
Option B, the slanting upwards, is what we're going to go with. Since it will be linear, it isn't option C. It is untrue that the speaking has not been constant over the distance. Because it is a D-option, this increase-decrease is untrue. Option B is the best choice. Absolutely.
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
I need some help with the problem from my math class (-4w - 7)5
-20w-35
I used the distributive property to distribute terms, and then simplified
Given the matrices, calculate AB
Answer:
C11=-2
C22=8
hope this will help you more
good luck
Why is triangle always 180 degrees?
Triangle is always 180 degrees because the sum of all angles in a triangle is 180 degrees. This is known as the "Triangle Angle Sum Theorem." The theorem states that the sum of all angles in a triangle is equal to 180 degrees.
1. A triangle is a three-sided polygon with three angles.
2. The sum of the three angles in any triangle must be 180 degrees.
3. This is known as the Triangle Angle Sum Theorem.
4. The Triangle Angle Sum Theorem states that the sum of the angles in a triangle must equal 180 degrees.
5. It does not matter which angles the triangle has, the sum will always equal 180 degrees.
6. This theorem is based on the fact that the sum of the angles in any triangle is equal to two right angles or 180 degrees.
7. The Triangle Angle Sum Theorem can be proven by drawing a triangle, and then measuring and adding the three angles.
8. The sum of the three angles will always equal 180 degrees.
9. Therefore, triangle is always 180 degrees.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
A new water park was designed to contain two circular pools. Pool A has a diameter of 60 m, and pool B has a diameter of 80 m. a) If the designer wants to outline the pools with rope lights, how many meters will be needed to outline the smaller pool? (Use 3.14 for π.)
Answer:
140
Step-by-step explanation:
60+80=?......All you need to do is just add 60 and 80 and get the product
I hope that helped.
Someone pls solve this math puzzle.
Answer:
x (blue circle thing) = 46
y (dna) = -63
z (molecules) = 52
Step-by-step explanation: