The solution of the system of equations are x = -4 and y=1.
How to solve system of equations?
Look at substitution and elimination as two methods for algebraically solving systems of linear equations.To better comprehend when systems of linear equations have one solution, no solutions, or infinitely many solutions, let's look at systems of linear equations graphically.Investigate algebraic techniques for counting the number of solutions to systems involving two linear equations.5x+y=-19 -- (i)
5x-4y=-24 ---(ii)
Subtract the above two equations:
5y = 5
y = 1
Substitute y=1 in equation (ii)
5x - 4(1) = -24
5x = -20
x = -4
Hence, the solution of the system of equations are x = -4 and y=1.
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Suppose the amount of medication, A, that remains in your bloodstream is inversely
proportional to the number of minutes, t, since the medication was taken. Which
would be the general formula for this relationship?
a) A = k/t
b) A = kt
c) A = 1/t
d) A = -t
The general formula for the relationship amount of medication, A, that remains in your bloodstream is inversely proportional to the number of minutes is a) A = k/t.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
We know we can write y is inversely proportional to x as,
y ∝ 1/x.
y = k/x, where k is the constant of proportionality.
Therefore, The amount of medication, A, that remains in your bloodstream is inversely proportional to the number of minutes, t can be written as,
A = k/t.
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Harbors Petty cash fund 100 the fund is 19 postage 40 supplies 26 travel 15
The journal entry to record the replenishment of the petty cash fund shows a debit of $45 , $25 and $8 and a net credit of $78.
Replenishment of the Petty Cash Fund:
Petty cash refers to a small amount of fund that can be used for the day to day expenses for which disbursement of checks will not be suitable. As and when the petty cash balance is being used and reduced, the fund custodian requests and receives cash from the company's regular checking account, in order to maintain the same petty cash balance it initially had, which is nothing but the replenishment of the petty cash fund.
The journal entry to record the replenishment of the petty cash fund is made below:
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Complete question is given below :
On March 20, Harbor's petty cash fund of $100 is replenished when the fund contains $22 in cash and receipts for postage $45, supplies $25, and travel expense $8.
Prepare the journal entry to record the replenishment of the petty cash fund.
The Cash account is credited, Reflecting the decrease in the petty cash fund due to the various expenses incurred.
The expenses made from the Harbor's petty cash fund, we need to record the appropriate entries to reflect the decrease in cash for each expense category. Based on the given information, the expenses include $19 for postage, $40 for supplies, $26 for travel, and $15 for miscellaneous expenses.
1. Postage Expense:
To record the expense for postage, we will debit the Postage Expense account and credit the Cash account. Assuming the Postage Expense account has a normal debit balance:
Postage Expense $19
Cash $19
2. Supplies Expense:
For supplies expenses, we will debit the Supplies Expense account and credit the Cash account:
Supplies Expense $40
Cash $40
3. Travel Expense:
To account for the travel expenses, we will debit the Travel Expense account and credit the Cash account:
Travel Expense $26
Cash $26
4. Miscellaneous Expense:
Lastly, for the miscellaneous expenses, we will debit the Miscellaneous Expense account and credit the Cash account:
Miscellaneous Expense $15
Cash $15
After recording these entries, the petty cash fund will have been reduced by the total expenses. It's important to note that the remaining balance of the petty cash fund should be adjusted accordingly.
the journal entries to account for the expenses from the Harbor's petty cash fund are as follows:
Postage Expense $19
Cash $19
Supplies Expense $40
Cash $40
Travel Expense $26
Cash $26
Miscellaneous Expense $15
Cash $15
These entries ensure that the appropriate expense accounts are debited and the Cash account is credited, reflecting the decrease in the petty cash fund due to the various expenses incurred.
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Which of the following is equivalent to
4√5
(A)
√20
(B) √50
(C) √80
(D) √100
Answer:
(C) Square root of 80
Step-by-step explanation:
4²=16
16x5=80
The wheel of a covered wagon has a diameter of 2 feet what is the wheels circumference?
Answer: ≈75.4 inches
Step-by-step explanation:
C=2πr
Step 1) Half of the diameter is the radius, and 2 feet equals 24 inches, so 24÷2= a radius of 12 inches
Step 2) Plug the radius into the equation: C=2π(12)=75.4 inches
Suppose that f(x) = x² and g(x)=2/5x². Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) compressed vertically.
B. The graph of g(x) is the graph of f(x) stretched vertically.
C. The graph of g(x) is the graph of f(x) compressed vertically and
reflected over the x-axis.
OD. The graph of g(x) is the graph of f(x) stretched vertically and
reflected over the x-axis.
Banks offer different rewards/perks depending on how much money you have in your account.
A) True
B) False
What is the dislance belween the points (4,-7) and (-5, -7)?
Answer:
Therefore the distance between the points is 9 units.
__________________________________________________________
Hello! In this question, we will find the distance between the two given points.
__________________________________________________________
Explanation:
In this problem, we were given the points:
(4,-7)(-5, -7)In order to find the distance between the two points, we will use our given information and plug it into the distance formula:
[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
In this case, our values would be:
__________________________________________________________
Solve:
Plug in the values into the formula above and solve:
[tex]d = \sqrt{(-5-4)^2+(-7-(-7))^2}\\\\d=\sqrt{(-9^)^2+(0)^2}\\\\d=\sqrt{81}\\\\\boxed{d=9}[/tex]
__________________________________________________________
Answer:
The distance between the two points would be [tex]\boxed{\text{9 units}}[/tex]
__________________________________________________________
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In 2020, the financial statements of Ultimate Medical Center reported $960,000 in total revenues and $305,000 in net income with consistent increase in patient volume each month. In fact, during your leadership meeting, you were able to report that there were $400,000 in collections and $820,000 in monthly charges for the monthly of August. Calculate the gross collection ratio and the operating ratio for Ultimate Medical Center:
Assume that a company makes only one product, maintains no beginning or ending inventories, and uses a standard costing system. The standard cost card for that product is shown below:
Standard Quantity or Hours Standard Price or Rate Standard Cost
Direct materials 3 pounds $ 13.00 per pound $ 39.00
Direct labor 2 hours $ 16.00 per hour $ 32.00
Fixed manufacturing overhead 2 hours $ 8.00 per hour $ 16.00
The company purchased 22,000 pounds of direct materials from its supplier at a cost of $12.50 per pound. The company used 22,000 pounds of direct material to start and complete 7,800 units of finished goods during the period. Its direct laborers worked 16,000 hours and were paid a total of $248,000. Based on this information, the total manufacturing cost transferred from Work in Process to Finished Goods would be:
Garrison 17e Rechecks 2020-09-29
Multiple Choice
$647,800.
$678,600.
$667,400.
$654,700.
Group Ends
There is no difference between the standard and actual expenses of direct labor because the company spent a total of $248,000 on such costs over the period.
How to calculate labor cost ?To determine the total increase recorded in the Work in Process account related to direct labor, we need to first calculate the total standard cost of direct labor for the period and then compare it to the actual cost of direct labor.
According to the standard cost card, each unit of the product requires 2 hours of direct labor at a rate of $16.00 per hour.
This means that the total standard cost of direct labor for the period is 2 * $16.00 * 7,800 = $248,000.
Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor. Therefore, the total increase recorded in the Work in Process account related to direct labor would be $0.
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The circumference of a circle is double the perimeter of square having area 484cm^2.what is the area of circle?
Answer:
circumference (c) = 2.per(Square
Step-by-step explanation:
ar sq = l²
484 = l²
l = 22
again
p=4l=4×22=88cm
c = 2×p=2×88= 176cm
we know
c= 2πr
or, 176 = 2×22/7 × r
r = 28 cm
again
ar (circle) = πr²
= 22 / 7 × 28²=2464cm²
How many real solution are there in equation[tex]\frac{(x-2)(x-3)}{(x-3)(x-4)} =-1[/tex]
Answer:
0
Step-by-step explanation:
[tex]\frac{x-2}{x-4}=-1, x \neq 3 \\ \\ x-2=-x+4 \\ \\ 2x=6 \\ \\ x=3[/tex]
This contradicts the domain restriction, so there are no real solutions.
Answer: 0
Step-by-step explanation:
Write the tangent equation to solve for angle f
Answer:
tan θ = 24/7
Angle F = tan⁻¹(24/7) = 73.7° (1 d.p.)
Step-by-step explanation:
tan θ = Opposite/Adjacent
Opposite side is the side opposite angle θ
Adjacent side is the side next to the right angle and the angle θ
θ = Angle F
tan θ = 24/7
Angle F = tan⁻¹(24/7) = 73.7 (1 d.p.)
Here is an inequality: 7 x+6<3 x+2.
Select all values that are solutions.
(Select all that apply.)
x=1
x=0
x=-1
x=-2
x=-8
By solving a linear inequation, it can be calculated that
The values that are solutions are
x= -2 and x= -8
What is linear inequation?
Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤
A one degree inequation is known as linear inequation.
Here the inequation is 7x + 6 < 3x + 2
7x + 6 < 3x + 2
7x - 3x < 2 - 6
4x < - 4
x < [tex]-\frac{4}{4}[/tex]
x < -1
So the values that are solutions of the inequation are
x=-2 and x=-8
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A family wants to make an addition to a deck that extends off the back of their home. The current deck is 400 ft2. The addition will be 18.75 ft in length and 15 ft wide. What will be the total area of the deck once the addition is complete?
A: 681.25 ft2
B: 433.75 ft2
C: 281.25 ft2
D: 118.75 ft2
Answer:
[tex]681.25ft^2[/tex]
Step-by-step explanation:
The total area of the deck can be found with
[tex]A_t=A_0+A_a[/tex]
where
[tex]A_t[/tex] = total area of the new deck
[tex]A_0[/tex] = area of the original deck
[tex]A_a[/tex] = area of addition
The area of the addition can be found with
[tex]A_a=lw[/tex]
where
[tex]l[/tex] = length of addition
[tex]w[/tex] = width of addition
So,
[tex]A_t=400ft^2+(18.75ft*15ft)\\A_t=400ft^2+281.25ft^2\\A_t=681.25ft^2[/tex]
-15x + 20y = 15-5
0-18x + 24y - 18
Answer:
To solve this system of linear equations, we need to first rewrite the equations in standard form, which is the form y = mx + b. To do this, we can isolate the y-term on one side of the equation and the x-term and constant on the other side. For example, the first equation can be rewritten as follows:
-15x + 20y = 15-5
20y = 15 - 5 - 15x
y = -3/4 x + 2
Similarly, the second equation can be rewritten as follows:
0 - 18x + 24y - 18
24y = -18 - 18x
y = -3/2 x - 1
Now that the equations are in standard form, we can find the point of intersection by setting the two equations equal to each other and solving for x:
-3/4 x + 2 = -3/2 x - 1
-3/4 x + 2 + 3/2 x = -1 + 3/2 x
x = -1/6
Substituting this value of x into either equation, we can solve for y to find the point of intersection:
y = -3/4 x + 2
y = -3/4 (-1/6) + 2
y = 1/3
Therefore, the point of intersection for these two equations is (-1/6, 1/3). This means that the system of equations has exactly one solution at this point.
could anyone help this is so confusing
Step-by-step explanation:
I and somebody else answered this already. how often did you post this ?
If f(x) = log (x/4) and g(x) = 2 log x, find (g – f) (x).
Answer:
To find (g – f)(x), we need to subtract f(x) from g(x). We can do this by substituting the expressions for f(x) and g(x) into the difference:(g – f)(x) = g(x) – f(x)
= (2 log x) – (log (x/4))We can simplify this expression by using the fact that log a - log b = log (a/b). Applying this fact, we get:(g – f)(x) = (2 log x) – (log (x/4))
= log ((x^2) / (x/4))
= log (4x)Therefore, (g – f)(x) = log (4x).
Step-by-step explanation:
Step-by-step explanation:
To find (g – f)(x), we can subtract f(x) from g(x):
(g – f)(x) = g(x) – f(x)
= 2 log x – log (x/4)
Using the logarithm identity log a - log b = log (a/b), we can rewrite the expression as:
(g – f)(x) = log x^2 - log (x/4)
= log (x^2/(x/4))
= log (4x)
Therefore, (g – f)(x) = log (4x).
The heights of adult men are normally distributed. The heights (in inches) of 9 adult males are given below. 72, 71, 71, 68, 68.75, 70.25, 72, 70.25, 68.25 A physician believes that the mean height of adult men is larger than 69.9 inches. Test the physician’s claim at the α = 0.05 level of significance.
Mean=70.11
Std=1.58
Answer:
71
Step-by-step explanation:
-3x-4y=-1 3x-y=-4 elimination
Answer:
(- 1, 1 )
Step-by-step explanation:
- 3x - 4y = - 1 → (1)
3x - y = - 4 → (2)
add (1) and (2) term by term to eliminate x
0 - 5y = - 5
- 5y = - 5 ( divide both sides by - 5 )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (2)
3x - 1 = - 4 ( add 1 to both sides )
3x = - 3 ( divide both sides by 3 )
x = - 1
solution is (- 1, 1 )
Fill in the blanks 30 = 27 __ ___x 9 = 54 81 / ___ = 92 = ___ / “” 58 x ___ = 32 “” 72 / ___ = 8 “” 7* __ = 49
Answer:
30 = 27 __ 3 x 9 = 54
81 / __9 = 9
2 = __4 / 8
58 x __6 = 32
72 / __8 = 9
7* __7 = 49
Step-by-step explanation:
What rigid motion maps the solid-line figure onto the dotted-line figure?
A. reflection
Brotation
Ctranslation
The rigid motion of the solid line figure is translated to the dotted line figure.
How to find the rigid motion maps a solid line?Translation describe a function that moves an object a certain distance.
In a translation, every point of the object must be moved in the same direction and for the same distance.
In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.
Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation
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−(−B)=minus, left parenthesis, minus, B, right parenthesis, equals
We know that,
When sign negative multiplied by negative then we find positive sign,
Therefore,
When sign positive multiplied by positive sign then we find positive sign,
When sign positive multiplied by negative sign then we find negative sign,
When sign negative multiplied by positive sign then we find negative sign,,
For example-
(-8)×(2)=-16
(-2)×(-2)=4
(-3)×(+3)=-9
(+3)×(+4)=+12
(+8)×(-2)=-16
According to question,
Given data in the question,
-(-B) =minus, left parenthesis, minus, B right parenthesis, equals
With the help of above Lines
we can say that,
-(-B)=-1×-(B)
=B
-(-B)=minus,left parenthesis, minus, B right parenthesis, equals
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For the give question of −(−B)=minus, left parenthesis, minus, B, right parenthesis, equals answer is -(-B)=-1×-(B)
What is parenthesis?The well-known () symbol is used in pairs to group things together or specify the order of operations in an equation. Parentheses or "round brackets" are also known as parentheses. When writing or solving equations in math, you'll frequently need to use brackets. They assist in defining the order of operations as well as grouping numbers.
We know that,
When sign negative multiplied by negative then we find positive sign,
Therefore,
When sign positive multiplied by positive sign then we find positive sign,
When sign positive multiplied by negative sign then we find negative sign,
When sign negative multiplied by positive sign then we find negative sign,,
For example-
(-8)×(2)=-16
(-2)×(-2)=4
(-3)×(+3)=-9
(+3)×(+4)=+12
(+8)×(-2)=-16
According to question,
Given data in the question,
-(-B) =minus, left parenthesis, minus, B right parenthesis, equals
With the help of above Lines
we can say that,
-(-B)=-1×-(B)
=B
-(-B)=minus, left parenthesis, minus, B right parenthesis, equals
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Which of the following is not factor of f(x)?
Answer:
[tex](x-2)[/tex]
Step-by-step explanation:
[tex]f(2)=-40 \\ \\ f(-8)=0 \\ \\ f(3)=0 \\ \\ f(-2)=0[/tex]
By the factor theorem, [tex](x-2)[/tex] is not a factor.
Find the y-intercept of the following equation. Simplify your answer.
y = 10x + 5
y-intercept=
X-intercept =
Answer:
Step-by-step explanation:
To find the y intercept we need to let x=0
y=10*0+5=5 therefore y intercept =5
To find the x intercept we need to let y=0
we get 0=10x+5
We need to solve for x, this means getting x on its own
Take 5 from both sides
0-5=10x+5-5
-5=10x
Divide both sides by 10
gives
-5/10=10x/10
-1/2=x
Therefor x intercept =-1/2
If 5/33 is expressed in decimal form, what digit is in the 92nd place to the right of the decimal point?
Answer: 5
Step-by-step explanation:
If you plug 5/33 into a calculator (or just solve with long division), you'll find that it makes 0.151515... (with 15 repeating forever.)
In every EVEN decimal place there's a 5, but in every ODD decimal place there's a 1. (The first decimal place is 1, the second is 5, etc.)
Since 92 is an even number, there is a 5 in the 92nd decimal place.
Pls help i will mark brainliest Determine the value of y for the inequality 4 times the quantity y plus one fifth end quantity is less than or equal to four fifths.
y ≥ 0
y ≤ 0
y is greater than or equal to negative 1 over 40
y is less than or equal to negative 1 over 40
The value of y is less than or equal to 0 (y ≤ 0).
What is inequality?
In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.
Given:
4y + 1/5 ≤ 4/5
We have to find the value of y.
Subtract 1/5 from both sides,
4y + 1/5 - 1/5 ≤ 4/5 - 1/5
4y ≤ 3/5
Multiply both sides by 1/4
4y x 1/4 ≤ 3/5 x 1/4
y ≤ 3/20
y ≤ 0.15
Hence, the value of y is less than or equal to 0 (y ≤ 0).
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$10.982 to the nearest ten cents
Answer:
$11.0
I hope the image below explains a bit as well
I hope my answer helps you.
Question Progress
Homework Progress
110/122 Marks
Four whole numbers are each rounded to the nearest 10
The sum of the four rounded numbers is 90
What is the maximum possible sum of the original four numbers?
The maximum amount of the original four numbers is 110.
What is the whole number?
A whole number is simply any positive number that does not include a fractional or decimal part. This means that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 are all whole numbers.
Four whole numbers are each rounded to the nearest 10, which means each number can go +5 or -5.
The sum of the rounded numbers is 90, the maximum amount of the original four numbers is if +5 are added with each 4 original number.
So each number would have an extra +5.
And then the maximum number is 90 + (5 x 4) is equal to 110.
Or if the rounded-up no. were 10, 20, 30, 30.
The sum of these numbers is 90.
They can go up to 15,25,35,35.
So the sum of this is 110.
Hence, the maximum possible sum of the original four numbers is 110.
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Express 40 g as a percentage of 2 kg.
=2%
Step-by-step explanation:2 kg = 2000 g
x% of 2000 = 40
x/100 × 2000 = 40
x = 2%
The ______ is a measure of the error in using the estimated regression equation to predict the values of the dependent variable in a sample.
A. sum of squares due to regression (SSR)
B. sum of squares due to error (SSE)
C. erorr term
D. residual
B. squares due to error (SSE) is the correct option.
What is squares due to error (SSE)?
Sum Squared Error (SSE) is an accuracy metric that squares the mistakes before adding them. When the data points are of equal magnitude, it's utilised to assess the forecasting model's accuracy. The forecast is more precise the lower the SSE. Choosing the forecasting model that best suits your data will be made easier for you if you are aware of this accuracy statistic.
The sum of squares due to error (SSE) is a measure of the error in using the estimated regression equation to predict the values of the dependent variable in a sample.
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