Broderick needs $610.00 in his account to cover his checks.
We know that the balance Boderick has is $420.
First, we will calculate the total amount of the 6 deposits made by Broderick each of $35.50 deposit as follows -
$35.50 x 6 = $213.00
Hence, the total amount of the 6 deposits made by Broderick is $213.00
Next, we will calculate the total amount of the 4 checks he needs to write-
$310.75 x 4 = $1243.00
Hence, the total amount of the 4 checks that Broderick needs to write is $1243.00
Now we will find the final balance of Broderick's account after all the deposits and check withdrawals. We can do this by adding the total amount of the deposits to his initial balance and subtracting the total amount of the checks as follows-
$420.00 + $213.00 - $1243.00 = -$610.00
Thus, Broderick needs $610.00 in his account to cover his checks.
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The complete question is -
Broderick had $420 in his checking account. He made 6 deposits of $35.50 each. He needs to write 4 checks for $310.75 each. How much money does Boderick need to add to his account to cover his checks? Show your work.
Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not a/d=j
The expression in terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.
What exactly is a phrase?
It is described as blending mathematical operators, constants, and variables.
It follows that:
The sentence is:
hD = m
To account for D Declare D as the subject.
As we know, an arithmetic operation can be defined as an operation in which we add, subtract, multiply, and divide integers. It has four basic operators that are +, -, ×, and ÷.
By dividing both sides by h:
hD/h = m/h
Here h ≠ 0
D = m/h
As a result, if the statement is hD = m, then the expression in terms of m and h is D = m/h, and the solution is D = m/h.
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express cos V as a fraction in simplest terms
The value of cos v in simplest terms in fraction form is 17/18
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here: The triangle ΔXWV with WV=17 , XV=18,
We know cos ∅= base/hypotenuse
here hypotenuse is XV as it is opposite to the right angle. and the base of the triangle is 17
∴ Cos v=17/18
We can also find the measure of the third angle by using the pythogarean theorm as
WX=√18²-17²
=√35
Hence, The value of cos v in simplest terms in fraction form is 17/18
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how do i simplify -5x+x and 2p+5p
Answer: For your answer you would add like terms so for -5x+x you would get -4x, and for your other you would get 7p.
Put the following equation of a line into slope-intercept form, simplifying all fractions.
2x+4y=16
Answer:
Step-by-step explanation: I do these in 2 steps:
1. isolate the y term ----- 4y = -2x + 16
2. divide each term by the coefficient of the y-term
y = (-2/4)x + 4
y = (-1/2)x + 4
|x-2|=|4+x| How does this make sense, HOW
The solution of the absolute value equation:
|x-2|=|4+x|
is x = -1
How to solve the equation?Here we want to solve the following equation:
|x - 2| = |4 + x|
A general absolute value function can be rewritten into two equations, in this case these are:
x - 2 = 4 + x
x - 2 = -(4 + x)
The first one has no solution, but the second one does.
x - 2 = -(4 + x)
x - 2 = -4 -x
2x = -4 + 2
2x = -2
x = -2/2 = -1
That is the solution.
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a mechanical system comprises three subsystems in series with reliabilities of 0.98, 0.96, and 0.94. what is the overall reliability of the system?
The system's total dependability is 0.8813.
The reliability of the individual components determines the overall reliability of multi-component systems.
R = (0.98) (0.96) (0.94)
= 0.8813
The likelihood that a system operates well for a given period of time is known as reliability. When performing this right action:
No maintenance or repairs are necessary. The system correctly complies with the established performance requirements.
The dependability decreases when more time is taken into account for reliability calculations since it obeys the exponential failure rule.
In other words, a system's reliability will initially be high and steadily decline to its lowest level over time.
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The value of the overall reliability of the system is 0.8813.
The possibility that a system will work successfully over a certain time period is referred to as reliability. No repair is necessary or done during this right procedure. The system adheres to the performance standards as specified.
The overall reliability of multi-component systems is determined by the reliability of the individual components.
R = (0.98) (0.96) (0.94)= 0.8813
The possibility that a system will perform well over a particular length of time is referred to as dependability. There is no need for maintenance or repairs while doing this appropriate step. The system satisfies the defined performance criteria.
Because it follows the exponential failure rule, dependability falls as more time is factored into reliability assessments.
In other words, the reliability of a system will begin high and gradually drop to its lowest level over time.
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2 + 7^3 + 4(9-6)^2/6
Answer:
The answer is 351
Step-by-step explanation:
Hope this helps!
a. Are the integers closed under addition and subtraction? In other words, when you add or subtract two integers, is the result always an integer? Justify your response.
b. Give a counterexample to show that the whole numbers are not closed under subtraction.
Answer:
a. The result is always an integer because integers are not fractions or decimals.
b. Sorry I don't have an answer for b i don;t know what that means. :(
how many different batting orders can a baseball coach create from a team of 15 players, if there are nice positions to fill?
15 x 14 x 13 x ... x 3 x 2 x 1 is the possible batting orders.
A baseball coach can create 15! (15 factorial) different batting orders for a team of 15 players if there are nine positions to fill in the lineup. This is because, for the first spot in the lineup, there are 15 options, for the second spot there are 14 options, and so on, leading to 15 x 14 x 13 x ... x 3 x 2 x 1 possible batting orders.
The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.
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A statistics professor asked her students whether or not they were registered to vote. In a sample of
50 of her students (randomly sampled from her 700 students), 35 said they were registered to vote.
1. Find a 95% confidence interval for the true proportion of the professor's students who were
registered to vote. (Make sure to check any necessary conditions and to state a conclusion in
the context of the problem. )
As per the 95% confidence interval, the true proportion of the professor's students who were registered to vote is between 57.3% and 82.7%
The term called confidence interval is defied as the mean of your estimate plus and minus the variation in that estimate.
Here we know that sample of 50 of her students randomly sampled from her 700 students, 35 said they were registered to vote.
Here we have to calculate the true proportion of the professor's students who were registered to vote with 95% confidence interval is,
Here we have a random sample of less than 10% of the professor's students with 35 expected successes and 15 expected failures
Here we have know that both of which are at least ten, so a Normal model applies.
Then the value of n = 50,
=> P =35/50 = 0.70
Then the value of q = 1 - p = 1 - 0.70 = 0.30
Then the value of SE is
=> √(0.70 0.30)/ 50 = 0.065
Then with 95% confidence interval is calculated as,
=> p± SE(p)
Apply the values on it, then we get
=> 0.70±1.96 (0.065)=0.70±0.127
=> 0.573 to 0.827
hence the 95% confident that between 57.3% and 82.7% of the professor's students are registered to vote.
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Gina Wilson All Things Algebra Unit 5: Congruent Triangles homework 1 PLEASE HELP
As per the angle sum property, the value of x is 14°
In math the term called angle sum property states that the sum of interior angles of a triangle is 180°.
Here we have the following diagram and we need to find the value of x.
While we looking into the diagram, we have identified the value of the angles are listed as follows:
=> (10x - 11)°
=> (3x - 2)°
=> (3x + 1)°
Now we have to solve this by using the angle sum property then we get,
=> (10x - 11)° + (3x - 2)° + (3x + 1)° = 180°
When we simplify this one then we get,
=> 16x - 12 = 180°
=> 16x = 168°
=> x = 14°
Complete Question
Find the value of x one the following diagram.
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What number should be added to both sides
f(x) = -x + 1; Find f(-10)
expresa con una fracción cada situacion. a) la temperatura ambiente es un tercio bajo cero
Answer:
a) La temperatura ambiente es -1/3.
Exit Ticket
DQ,FP, RE are all medians of Ader, and C is the centroid. DQ = 24, FC = 10, RC = 7.
Find DC, CQ, FP, and CE.
P
E
D.
R
Using the property of median, the values of DC = 16, CQ = 8, FP = 15, and CE = 14.
As DQ = 24, FC = 10, RC = 7.
As we know that the centroid divide each median in the ratio of 2:1.
The diagram of the question is given below:
So, we divide the median DQ in the ratio 2:1
2x + x = 24
3x = 24
Divide by 3 on both side, we get
x = 8
So the length of DC = 16 and CQ = 8
Ac FC = 10 which is 2 part of the ratio 2:1.
So the value of 2x = 10
So x = 5. Now the value of CP = 5
Now the value of FP = FC + CP
FP = 10 + 5
FP = 15
As RC = 7 which is 1 part of the ratio 2:1.
So the value of CE = 2x = 2×7 = 14
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The input is multiplied by 2, then 5 is subtracted
The function that matches the description is given as follows:
f(x) = 2x - 5.
How to define the function?The parent function for this problem is given as follows:
f(x) = x.
The first transformation is a multiplication by two, hence the function is defined as follows:
f(x) = 2x.
The final transformation is a subtraction by 5, then the function is defined as follows:
f(x) = 2x - 5.
Meaning that the last option is the correct option.
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Write an explicit formula for
�
�
a
n
, the
�
th
n
th
term of the sequence
28
,
14
,
7
,
.
.
.
28,14,7,....
Answer:
This equation makes no sense post in better quality
Step-by-step explanation:
a measure computed from the entire population is called __________.
A measure computed from the entire population is called parameter.
A limit is a parameter. A parameter is a constant in an equation in mathematics, however today, any system can include parameters that control how it functions. You can provide guidelines for your class discussion.
Greek words para-, which means "beside," and metron, which means "measure," are combined to form the term parameter. Gravity and time are two boundaries that the natural world establishes. The law establishes the boundaries of appropriate conduct in court. While parameters and perimeters are similar, a parameter can contain or define something that is either physically present or abstractly defined, whereas a perimeter is the physical space that surrounds an entity.
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What does it mean when you substitute a value into an equation and the result is a true statement?
What it means when you substitute a value into an equation and the result is a true statement is; The solution of the equation
How to find the solution of an equation?
Solving an equation is very synonymous to trying to find the answer to a puzzle. Now, an algebraic equation states that two algebraic expressions are equal.
In order for us to solve an equation, we will have to determine the values of the variable that makes the equation a true statement. Thus, any number that makes the specific equation to be true will be referred to as a solution of the equation.
A solution to an equation is defined as a value of a specific variable that makes a statement to be true when substituted into the equation. Thus, the process of finding the solution to an equation is simply called solving the equation.
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How much of a(n) 60% orange juice drink must be mixed with 5 gallons of a 30% orange juice drink to obtain a mixture that is 50% orange juice?
Answer: To obtain a mixture that is 50% orange juice, you must find the amount of 60% orange juice needed to bring the overall concentration of orange juice to 50%.
We can start by using the formula:
(amount of 60% orange juice) / (amount of 60% orange juice + amount of 30% orange juice) = desired concentration
Let's call the amount of 60% orange juice that we need to add x.
So the equation will look like this:
(x) / (x + 5 gallons) = 0.5
We can then solve for x:
x = (0.5 * x + 0.5 * 5 gallons)
x = 2.5 gallons
So, 2.5 gallons of 60% orange juice must be mixed with 5 gallons of 30% orange juice to obtain a mixture that is 50% orange juice.
Step-by-step explanation:
if 3/4 of a certain number is equal to 4 1/2 find the number
Answer:
6
Step-by-step explanation:
4 1/2= 4.5
3/4=0.75
4.5/0.75= 6
just to check, 3/4 x 6 =4.5
pls help i will give 20 points
Answer: Your answer would be −2x⁴y²
Step-by-step explanation: I hope this helps!
Answer:
The third question
Step-by-step explanation:
Hope this helps!
Enter the statement, with the values in the same order, but with parentheses so that the statement is true.
7x5-4x5+16+4-26 when
(select) (select) (select) (select)+(select)=(select)-26
The statement "7x5-4x5+16+4-26 when
(select) (select) (select) (select)+(select)=(select)-26", with the values in the same order, but with parentheses such that the statement is true is 7x(5-4x+4)-26 = (7x)(1) - 26
What is factorization?Factorization is the process of finding the factors, or integers that multiply together to give a specific number. It is also known as factoring or prime factorization when the factors are prime numbers. For example, factorization of 12 is 2x2x3, which are the prime factors that multiply to give 12. The process of factorization is used in a variety of mathematical and scientific fields, such as number theory, algebra, and computer science.
It can also refer to a mathematical expression where an algebraic expression can be written as a product of two or more expressions.
In general, factorization is a way of breaking down a number or an expression into smaller parts that can be used to understand or simplify it.
Therefore, when plugged in those values in the same order, the statement become true.
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Leia invests $2658.00 (P) in a retirement
account with a fixed annual interest rate
of 4% (r) compounded monthly (n=12).
What is Leia's ending balance (A) after 5
years (t=5)?
$587.41
$3245.41
$2053.06
$12,145.52
Leia's ending balance after 5 years will be $3245.41. The solution has been obtained by using the concept of compound interest.
What is compound interest?
Both the principal and the interest that has accumulated over the previous period are used to compute interest. Compound interest accounts for the principal when calculating the interest for the subsequent month, in contrast to simple interest, which does not. In mathematics, compound interest is frequently denoted by the letter C.I.
We know that formula for compound interest is
[tex]A= P(1 + \frac{r}{n} )^{nt}[/tex]
So, here P = $2658 , n=12, t=5 and r = 0.04
Thus, we get
[tex]A= 2658(1 + \frac{0.04}{12} )^{60}[/tex]
[tex]A= 2658(1.00333})^{60}[/tex]
A = 2658*1.2207
A = $3245.41
Hence, Leia's ending balance after 5 years will be $3245.41.
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Find the solution to the system of equations given below using elimination by addition. 4x + 3y = -20 6x +12y = −10
Answer:8
Step-by-step explanation:
dd
An open box i to be contructed from a quare piece of heet metal by removing a quare of ide 3 feet from each corner and turning up the edge. If the box i to hold 300 cubic feet, what hould be the dimenion of the heet metal?
The sheet metal should have a total area of 12.9 x 12.9 = 166.41 square feet.
The sheet metal must be large enough to form a cube with a volume of 300 cubic feet, so the side length of the sheet must be the cube root of 300, which is approximately 6.9 feet. To find the dimensions of the sheet metal, we must take into account the four 3 foot squares that will be removed from each corner. Therefore, the sheet metal should have a length of 6.9 feet + 6 feet (4 times the 3 foot squares) = 12.9 feet and a width of 12.9 feet. This will give the box a volume of 300 cubic feet, and the sheet metal should have a total area of 12.9 x 12.9 = 166.41 square feet.
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4 3/4 - 6/4 = ? I need help .
The solution to the mixed fraction 4 3/4 - 6/4 is 3 1/4
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
To solve the question
Convert the mixed fractions into improper fractions
4 3/4 - 6/4
= 19/4 -6/4
we can simplify, since the denominators are the same
19-6/4
=13/4
converting to mixed fractions, we have
3 1/4
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Talia travelled part of the journey by train and the rest by bus.The total fare was sh 400.On return,the fare of the bus was hiked by a half of what he paid and the total fare of the return journey hiked to sh 4800.Find the train fare.
Answer: Let x be the fare of the train, and y be the fare of the bus.
We know that:
x + y = 400 (the total fare of the journey)
And, on the return journey the fare of the bus is hiked by a half of what Talia paid initially, so the fare of the bus on the return journey is:
y * 1.5 = y + (y/2)
And the total fare of the return journey is hiked to 4800, so:
x + y + (y/2) = 4800
We can substitute the first equation into the second equation:
x + (y + (y/2)) = 4800
x + y + (y/2) = 4800
x + (y + (y/2)) = 4800
So, we can solve the system of equations by substituting the first equation into the second equation and solving for x.
x + y = 400
x = 4800 - (y + (y/2))
x = 4800 - y - (y/2)
x = 4800 - y - (1/2)y
x = (4800 - y) - (1/2)y
x = 4800 - (3/2)y
Now we have an equation for x in terms of y. To solve for x, we can use the value of y from the first equation
x = 4800 - (3/2)(400)
x = 4800 - 600
x = 4200
So the train fare is 4200 sh
Step-by-step explanation:
Write the following as an algebraic expression. Then simplify. the total amount of money (in cents) in x quarters, (x+3) dimes, and 2x nickels.
Answer:(x+3)=2x
Step-by-step explanation:
Round 0.814 to the nearest hundredth.
Answer: 0.81
Step-by-step explanation:
We will look at the thousands place to round to the hundredth. If the thousands place is at or above 5, we will round up. If it is 4 or below, we will round down.
[tex]\displaystyle 0.814\\0.81\boxed{4}\\\\4 < 5\\\\0.81[/tex]