True Cash Balance As on June 30 is mathematically given as $ 52588
This is further explained below.
What is the true cash balance?As of the Bank Statement dated June 30th, the Unadjusted Balance A = $53,382.
Deposit in Transit June B = $2,545.
Outstanding Check June 30 C = $3,339
Generally, the equation for the true cash balance is mathematically given as
cash balance = A-(C-B)
Therefore
cash balance= 53,382-(3,339-2,545.)
cash balance= 52588
In conclusion, True Cash Balance As on June 30 = $ 52588
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The length of a rectangle is 6 meters shorter than 4 times its width. The area of the rectangle is 238 square meters. How long and wide is the rectangle?
The width and length of the rectangle given its area is 8.5 meters and 28 meters respectively.
Area of rectangleLength of the rectangle = (4w - 6) metersWidth of the rectangle = wArea of rectangle = 238 square metersArea of a rectangle = Length × width
Substitute the parameters238 = (4w - 6) × w
238 = 4w² - 6w
Change to quadratic equation4w² - 6w - 238 = 0
Using quadratic formulaa = 4
b = -6
c = -238
w = -b ± √b² - 4ac / 2a
= -(-6) ± √(-6)² - 4(4)(-238) / 2(4)
= 6 ± √36 - (-3808) / 8
= 6 ± √36 + 3808 / 8
= 6 ± √3844 / 8
= 6 ± 62 / 8
= 68/8 or -56/8
w = 8.5 or -7
The value of w can not be negativeSo,
w = 8.5 meters
Recall,
Length of the rectangle = (4w - 6) meters
= 4(8.5) - 6
= 34 - 6
= 28 meters
Therefore, the width and length of the rectangle given its area is 8.5 meters and 28 meters respectively.
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The temperature fell 12 degrees over 4 hours. What was the average change in temperature per hour?
Expression:
Answer:
The average change is 3 degrees per hour.
To calculate the average of any data we have to divide the change by the time taken for that change.
let us suppose there is a data 4,5,6,7 and 8.
Average of the data will be the sum of data divided by the number of terms.
Average=[tex]\frac{4+5+6+7+8}{5}[/tex]
=[tex]\frac{30}{5}[/tex]
= 6
So now we will calculate the average change in temperature per hour,
Given that there is a fall of 12 degrees in 4 hours.
Average change per hour=[tex]\frac{12}{4}[/tex]
= 3 degrees per hour
So, the required change is 3 degrees per hour.
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1. Which is the first step in solving
x 4 = 4
Subtract 4 from both sides.
Add 4 to both sides.
Add 4 to the left side.
Subtract 4 from the left side.
Answer:
I think to solve for X you have to place like terms on the other side like:
x4 = 4
x=4 - 4 (4 becomes negative)
x=0
3z+6+4z+9+8u combine like terms
Answer:
8u + 7z + 15
Step-by-step explanation:
Let's solve the problem,
→ 3z + 6 + 4z + 9 + 8u
→ 8u + (3z + 4z) + (6 + 9)
→ 8u + 7z + 15
Thus, solution is 8u + 7z + 15.
Answer:
8u±7z±15
Step-by-step explanation:
3z±6±4z±9±8u
8u±3z±4z±9±6
8u±7z±15
Hope its helpful for you
Please help also I know the answers there are wrong
If possible explain how you got the answers
The values of all the required angles are; m∠5 = 42°; m∠8 = 138°; m∠10 = 138° and m∠11 = 42°
How to Identify corresponding angles?
Corresponding angles are formed where a line known as an intersecting transversal, crosses through a pair of straight lines.
Now, we are given that; m∠1 = 42°
By corresponding angles, we can say that;
m∠1 = m∠5
Thus; m∠5 = 42°
Now, we know that sum of angles on a straight line is equal to 180° i.e. they are supplementary angles.
Now, from the diagram, we can see that m∠5 and m∠8 are supplementary angles and as such;
m∠5 + m∠8 = 180°
42 + m∠8 = 180
m∠8 = 180° - 42°
m∠8 = 138°
Now, m∠9 is a corresponding angle to both m∠1 and m∠5. Thus, we can say that; m∠9 = 42°. However, m∠9 is supplementary to m∠10. Thus;
m∠10 = 180 - 42
m∠10 = 138°
Lastly, m∠10 and m∠11 are supplementary angles and as such;
m∠10 + m∠11 = 180°
138 + m∠11 = 180
m∠11 = 180° - 38°
m∠11 = 42°
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Which operations can be applied to a matrix in the process of Gaussian elimination?
a. replacing a row with the absolute values of that row
b. replacing a row with three times another row
c. replacing a row with twice that row
d. replacing a row with the sum of that row and another row.
e. swapping rows
(multiple answer are correct)
The following operations can be applied to a matrix during the Gauss Jordan elimination process:
(C) Replacing a row with twice the number of rows.(D) Substituting a row for the sum of that row and another row.(E) Row swapping.What is Gauss Jordan's elimination?Gaussian elimination, also known as row reduction in mathematics, is a method for solving systems of linear equations. It is made up of a series of operations performed on the corresponding coefficient matrix. This method can also be used to compute a matrix's rank, determinant of a square matrix, and inverse of an invertible matrix. The method is named after Carl Friedrich Gauss (1777-1855), though some special cases of the method were known to Chinese mathematicians as early as 179 AD, albeit without proof.During the Gauss Jordan elimination process, the following operations can be applied to a matrix:
Replacing a row with twice the number of rowsSubstituting a row for the sum of that row and another row.Row swappingTherefore, the following operations can be applied to a matrix during the Gauss Jordan elimination process:
(C) Replacing a row with twice the number of rows.(D) Substituting a row for the sum of that row and another row.(E) Row swapping.Know more about Gauss Jordan's elimination here:
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Find least number which must subtracted from the following to make them perfect square
42029
Answer:
[tex] \sqrt[3 \\ ]8 + \sqrt{114} {?} [/tex]
A patient is limited to 2000 milliliters (mL) of liquid intake per day. If the patient has 300 mL of juice for breakfast and 500 mL of milk for lunch, how much liquid can the patient have for the rest of the day?
Answer: 300mL + 500mL = 800 mL
2000 mL - 800 mL = 1200mL
The patient can have 1200 milliliters of liquid for the rest of the day.
what is the angle of depression zipline
Answer and Explanation:
The problem provides the following information:
Hypotenuse
=
h
y
p
=
5129
ft
Vertical drop
=
o
p
p
=
1275
ft
To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:
sin
θ
=
o
p
p
h
y
p
θ
=
sin
−
1
(
o
p
p
h
y
p
)
θ
=
sin
−
1
(
1275
ft
5129
ft
)
θ
=
sin
−
1
(
0.2485864691
)
θ
=
14.3938824691
≈
14.4
∘
The angle of depression is
14.4
HELP ASAP Question 4(Multiple Choice Worth 2 points) (Scientific Notation in the Real World MC) A TV show had 3.6 x 104 viewers in the first week and 4.1 x 104 viewers in the second week. Determine the average number of viewers over the two weeks and write the final answer in scientific notation. 3.85 x 104 7.7 x 104 3.85 x 108 7.7 x 108
The average number of viewers over the two weeks will be 3.85 × 10⁴.
How to calculate the value?It should be noted that based on the information, the TV show had 3.6 x 10⁴ viewers in the first week and 4.1 x 10⁴ viewers in the second week.
Therefore, the average number of viewers over the two weeks will be:
= [(3.6 × 10⁴) + (4.1 × 10⁴)] / 2
= 3.85 × 10⁴
Therefore, the average number of viewers over the two weeks will be 3.85 × 10⁴.
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According to the bar chart, Alphabet's revenue in 2011 was 37,905 million dollars. Write Alphabet's 2011
revenue in ordinary notation.
thirty-seven billion nine hundred five million
Answer:
hskekndndndokn jskjskiwijsnjskjskiwijsn kkskskskjd kdkdkdndndn
Step-by-step explanation:
Write a subtraction expression using integers that equals -6
Camilo uses 32 ounces of filling to make empanadas de queso. He puts 8 empanadas on each of 3 trays. Write a fraction to show how many ounces of filling Camilo uses in each empanada.
Answer: The fraction that will show the number of ounces of filling Camilo uses is x = 32 ounces
Step-by-step explanation:
Calculation by using fractions method :
The number of ounces used is x = 32
The number of trays = 3
Number of empanadas on each tray = 8
Therefore, the total number of empanadas on the 3 trays
= 3×8
= 24
If x = empanadas
32 ounce = x
Therefore, the fraction that shows number of ounces of filling Camilo uses in each empanada is x = 32 ounces
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604,542+87,106 estimated
Answer:
the answer is to the question is 691648
The ticket sales at a movie theater were $4,740. Adult tickets are $15, and senior tickets are $10. The
number of senior tickets sold was 37 less than twice the number of adult tickets. Determine the
number of adult tickets and number of senior tickets sold.
How many adult tickets were sold?
How many senior tickets were sold?
Answer: 291 with a remainder of 375
Step-by-step explanation: What you need to do first is multiply the senior tickets by 37 which is 370. Now subtract 4,740 by 370 which equals 4370. Then divide 4370 by 15. 4370 divided by 15 equals 291. Multiply 291 by 15 (just to find the remainder) which equals 4,365. 4,740 subtracted by 4,365 equals 375. So the answer is 375
Oliver threw the discus 43.82 feet. Jason threw the discus 50.02 feet. What is the difference between the two distances?
A 6 feet
B 6.2 feet
C 13.8 feet
D 16.02 feet
The difference between the distances thrown by Oliver and Jason while discus throwing is 6.2 feet.
The correct answer is Option B.
Given data:
Oliver threw the discus 43.82 feet.
Jason threw the discus 50.02 feet.
Oliver threw the discus a distance of 43.82 feet, while Jason's throw reached a distance of 50.02 feet. The difference is calculated by subtracting the shorter distance from the longer distance, resulting in 6.2 feet.
Difference = Longer distance - Shorter distance
Difference = 50.02 feet - 43.82 feet
On simplifying the equation:
Difference = 6.2 feet
This represents the variation in their performances, with Jason achieving a greater distance by 6.2 feet compared to Oliver's throw.
Hence, the difference is 6.2 feet.
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Use the following information to write an equation in terms of X. Then solve the equation and find RS and RT.
RS = 2x - 8
ST = 11
RT = x + 10
equation:?
x=?
RS=
RT=
We get the values of RS and RT as 6 and 17 respectively after solving the equations.
We are given the equations:
RS = 2x - 8
ST = 11
RT = x + 10
Now, we know that:
RS + ST = RT.
Substituting the values, we get that:
2 x - 8 + 11 = x + 10
2 x + 3 = x + 10
2 x - x = 10 - 3
x = 7
Now substituting it to find RS and RT:
RS = 2 x - 8
RS = 2 ( 7 ) - 8
RS = 14 - 8
RS = 6
RT = x + 10
RT = 7 + 10
RT = 17
Therefore, we get the values of RS and RT as 6 and 17 respectively after solving the equations.
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Find the sum of 3√2 and 2√8 in simplest form. Also, determine whether the result
is rational or irrational and explain your answer.
Answer:
7√2
7√2 is irrational since √2 is irrational
Step-by-step explanation:
3√2 + 2√8 = 3√2 + 2 × 2√2 = 3√2 + 4√2 = 7√2
7√2 is irrational since √2 is irrational
New Jersey transit claims that it’s 8:00 AM train from Princeton to New York has probability 0.9 of arriving on time. I assume for now that this claim is true. Explain what probability 0.9 means in the setting
It means there's a 90 percent chance that 8:00 AM train from Princeton to New York will arrive on time, and 10 percent chance it’s 8:00 AM train from Princeton to New York will not arrive on time.
Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.
It means there's a 90 percent chance that 8:00 AM train from Princeton to New York will arrive on time, and 10 percent chance it’s 8:00 AM train from Princeton to New York will not arrive on time.
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Would like help with this?
The largest interval in which the function is continuous is given by:
(-∞, -3).
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
A function is also not continuous for the values of x which are outside the domain of the function, hence a fraction is not continuous at the zeroes of the denominator.
In this problem, the zeroes of the denominator of the function are:
x = -3, x = 4.
Hence the continuity intervals are:
(-∞, -3).(3,4).(4,∞).The largest one is the first, as |-3| < |4|, meaning that it is a larger distance from infinity.
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2(2x - 5) = 3x + x - 2x What is the solution of the equation? X =
Answer:
Step-by-step explanation:
2(2x-5)=3x+x-2x
4x-10=3x+x-2x
4x-10=2x
4x-10+10=2x+10
4x=2x+10
2x=10
2/2
10/2=5
x=5
The solution to the equation 2(2x-5) = 3x + x - 2x is x = 5
Given data:
To solve the equation 2(2x - 5) = 3x + x - 2x, we will simplify and solve for x.
Step 1: Distribute the 2 to the terms inside the parentheses:
4x - 10 = 3x + x - 2x
Step 2: Combine like terms on both sides of the equation:
4x - 10 = 2x
Step 3: Subtract 2x from both sides to isolate the variable x:
4x - 2x - 10 = 0
Simplifying:
2x - 10 = 0
Step 4: Add 10 to both sides to eliminate the -10 term on the left side:
2x - 10 + 10 = 0 + 10
Simplifying:
2x = 10
Step 5: Divide both sides by 2 to solve for x:
(2x)/2 = 10/2
Simplifying:
x = 5
Hence, the solution is x = 5.
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need an answer asap please
Answer:
the answer is A
that is 828263
A quadratic function has A) straight lines that do both increase, decrease or stay constant on the same graph. B) curved lines that only increase or decrease. C) curved lines that do both increase and decrease on the same graph. D) straight lines that only increase or decrease. E) straight lines that do both increase and decrease on the same graph
If 4/15 of the candies in a bag of Skittles are red and 3/10 are yellow, what fraction of the bag are red and yellow?
The fraction of the bag that are red and yellow are [tex]\frac{17}{30}[/tex].
A fraction is a portion of a whole or, more roughly, any number of equal pieces. The word fraction comes from the Latin word fractus, which meaning "broken." When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. Below (or after) that line, there is a non-zero denominator and a common, vulgar, or simple fraction. Uncommon fractions that use numerators and denominators include difficult fractions, compound fractions, and mixed numeral fractions.To calculate the total fraction of red and yellow candies in the bag of skittles we add the two fractions together.
To add the two fractions together but first rewrite the fractions with a common denominator;
[tex]\frac{4}{15} =\frac{8}{30}[/tex]
[tex]\frac{3}{10} =\frac{9}{30}[/tex]
[tex]\therefore\frac{8}{30} +\frac{9}{30} \\\\=\frac{17}{30}[/tex]
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1.) (3+x)2-(3+x)=12
2.) 4x2+3(x+6)=0
3.) 2a(6a-8)+4=39
Answer:1. X=9
2. x
=
Step-by-step explanation:
f is the function (x)-2x+5.
(a) Find (3)
(6) Express the inverse function f' in the form f'(x)-
g is the function g(x)-²-25.
(c) Find g(-3).
(d) (1) Find gfx)
r'(x)-
Give your answer as simply as possible.
(ii) Solve g(x)-0.
gf(x) -
(1)
8
e
(5)
The given functions can be solved using composition functions.
What is a composition function?Function composition is a mathematical procedure where two functions, f and g, are taken and a function, h = g f, is produced such that h(x) = g(f(x)). The function g is applied in this operation on the outcome of applying the function f to x.
function (x)-2x+5.
(a) f(3) = 2(3) + 5
= 11
(b) f'(x)
y = 2x + 5
y - 5 = 2x
x = y - 5 / 2
f'(x) = x - 5 / 2
g is the function g(x)-²-25.
(c) g(x)-²-25
g(-3) = (-3)² - 25
g(-3) = -16
(d) g(f(x)) = g(2x + 5)² - 25
= 4x² + 25 + 20x - 25
⇒ 4x² + 20x
r'(x) = 2x + 5
(ii) g(x) - 0
⇒ g(x)
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please help with this question the question is in the attached image
The coefficient matrix for the given system of equations is as follows:
[tex]\left[\begin{array}{ccc}2&-6&-1\\-10&9&5\\3&0&5\end{array}\right][/tex]
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The augmented matrix of a system is composed as follows:
The first column has the coefficients of x.The second column has the coefficients of y.The last column has the results, that is, the values of the other side of the equality.In standard notation, this system is given as follows:
2x - 6y = -1.-10x + 9y = 5.3x + 0y = 5.Hence the augmented matrix is given by:
[tex]\left[\begin{array}{ccc}2&-6&-1\\-10&9&5\\3&0&5\end{array}\right][/tex]
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On a map the distance between two towns is 2.6 cm to scale of the map is 1 cm 50 km what is the actual distance between two
The answer to this question is:
The actual distance between the two towns = 130 km
Given that according to the map scale,
Distance between two towns = 2.6cm
Given that the scale of map =
1cm = 50km
So, we are asked to find the actual distance between them.
For finding the distance between two towns, we have to multiply the distance from the map by the scale of the map.
Distance between two towns * scale of the map
= 2.6 * 50 km
= 130 km
Therefore, actual distance between the two towns = 130 km
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What is an equation of the line that passes through the points (6, -1) and (1, 4)?
(13) Determine if the following equation has one solution, no solution, or infinite
solutions: 15y + 14 = 7(2y + 2).
Answer:
y = 0, one solution
Step-by-step explanation:
15y + 14 = 14 y + 14
-14y -14y
y + 14 = 14
-14 -14
y = 0
so one solution
