Answer:
The answer is 30
Answer:
y = 30
Step-by-step explanation:
There are 2 ways to find the answer to this.
#1
The relationship between x and y is y = x+13.
x is 17 so 17+13 would equal y.
17+13 = 30
y = 30
#2
rule for y: y increases by 4
26+4 = ?
26+4 = 30
y = 30
3.1.1 How can you tell the difference between the debits and the credits in this bank statement?
3.1.2 List any two fixed debits and any two flexible debits for the month
3.1.3 Look at the balance column to work out the value of A, the opening balance before her salary was paid in
3.1.1
Answer:
Debits and credits are used to monitor incoming and outgoing money in your business account. In a simple system, a debit is money going out of the account, whereas a credit is money coming in. However, most businesses use a double-entry system for accounting. This can confuse inexperienced business owners, who see the same funds used as a credit in one area but a debit in the other.
Double-Entry Accounting
When you look at your business finances, there are two sides to every transaction. This means that the rent is one account with a balance due and the business checking is another account that pays the balance due. So the same money is flowing but is accounting for two items. The double-entry system creates a chart of accounts. These include items such as rent, vendors, utilities, payroll, and loans.
3.1.2
Fixed Debit or Fixed debt:
A fixed debt or installment loan is generally one in which a borrower makes regular payments, where the debt has a beginning date, an end date, a fixed interest rate, and a fixed monthly fee (most installment loans are paid monthly). In other words, they adhere to a set amortization schedule. The interest on these type of loans are generally not tax deductible like mortgage loans and therefore are considered consumer debt. While many fixed-rate mortgages are fixed debts we have separated them since fixed debts outside of mortgages are considered consumer debt.
Types of fixed debts:
Automobile loansLoans on Recreation Vehicles, Boats, Motorcycles, etc.Furniture loans (if set payment, not on a credit card)Appliance loansDebt Consolidation loansStudent LoansFlexible Debit Card :
The flexible Debit card is highly favorable and the most popular transaction account. With the Flexi Debit card linked to several Postbank Savings and Investment Products, the Flexi Debit card offers you Transactional flexibility and freedom.
One can deposit your salary into the account and withdraw the money as and when needed. You can also use it for shopping instead of carrying cash.
Any type of debit card is a flexible debit card
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A box with a square base and open top must have a volume of 237276 cm^3. We wish to find the dimensions of the box that minimize the amount of material used. Find a formula for the surface area of the box in terms of only x, the length of one side of the square base.[Hint: use the volume formula to express the height of the box in terms of x.]
Answer:
\(A(x)=\dfrac{x^3+949104}{x}\)
Step-by-step explanation:
Given a box with a square base and an open top which must have a volume of 237276 cubic centimetre. We want to find a formula for the surface area of the box in terms of only x, the length of one side of the square base.
Let the side length of the base =x
Let the height of the box =h
Since the box has a square base
Volume,
\(V=x^2h=237276\\\\h=\dfrac{237276}{x^2}\)
Surface Area of the box = Base Area + Area of 4 sides
\(Area, A(x,h)=x^2+4xh\)
Substitute h derived above into A(x,h)
\(Area=x^2+4x(\frac{237276}{x^2})\\\\A(x)=x^2+\dfrac{949104}{x}\\\\A(x)=\dfrac{x^3+949104}{x}\)
Therefore, a formula for the surface area of the box in terms of only x, the length of one side of the square base is:
\(A(x)=\dfrac{x^3+949104}{x}\)
(x+1) (x-5)=16 formula cuadratica brainly
The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7
From the question, we have the following parameters that can be used in our computation:
(x + 1) (x - 5) = 16
The above expression is the product of two factors
(x + 1) and (x - 5)
And the result is 16
Express 16 as 8 * 2
So, we have
(x + 1) (x - 5) = 8 * 2
By comparison, we have
x + 1 = 8 and x - 5 = 2
When evaluated, we have
x = 7 and x = 7
This means that the value of x in the equation is 7
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Describe a situation that can be represented by the expression –15 + 8.
Answer:
-7
Step-by-step explanation:
Tiger Woods was 15 under par after the third round of a golf tournament, but was 8 over par for the fourth round. So, his score for the entire tournament was -15 + 8 = -7 (That is, 7 under par).
Solve for :
8x - 3 = 5 (2x + 1)
Answer:
x = -4
Step-by-step explanation:
8x-3=5(2x+1)
8x-3=10x+5
-3=2x+5
-8=2x
-4=x
a circle is translated 4 units to the right then reflected over the x-axis. Complete the statement so that it will always be true of the circle at the new location.
The circle at the new location has ________ the original circle
A. The same area as
B. Half the radius of
C. The same center as
D. Twice the circumference of
Answer:
Step-by-step explanation:
the same area
Gambling is an issue of great concern to those involved in college athletics. Because of this concern, the National Collegiate Athletic Association (NCAA) surveyed randomly selected student athletes concerning their gambling-related behaviors. Of the 5594 Division I male athletes in the survey, 3547 reported participation in some gambling behavior. This includes playing cards, betting on games of skill, buying lottery tickets, betting on sports, and similar activities. A report of this study cited a 1% margin of error. The confidence level was not stated in the report. Use what you have learned to find the confidence level, assuming that the NCAA took an SRS.
The confidence level in this report of survey of student atheletes concerning their gambling-related behaviors is equals to 87.88%.
The confidence interval when calculated with the two tails methods then it can be used to test the two tail hypothesis for the same parameter provided that the confidence level. We have, National Collegiate Athletic Association (NCAA) take a survey of randomly selected student athletes concerning their gambling-related behaviors.
repoted participation of students, x = 3547
Sample size,n = 5594
Margin of error, E = 1% = 0.01
The sample proportion is a number of successes divided by the sample size, p-cap = 3547/5594
= 0.6341
The margin of error is for a confidence interval for a proportion, which is determined by using the following formula is
\(CL = Zα/₂ \sqrt{ \frac{ \hat{p} \: (1- \hat{p})}{n} }\)
= Zα/₂√(1 - 0.6341)0.6341/5594
= 0.0064 Zα/₂
This margin of error also has to be equal to 1% or
0.0064 Zα/₂ = 0.01
=> Zα/₂ = 0.01/0.0064 ~ 1.55
The confidence level is the probability of obtaining this value or less extreme, determine the probability using z- table,
P(-1.55< Z < 1.55) = P(Z < 1.55) - P(Z < -1.55)
= 0.9394 - 0.0606 = 0.8788 = 87.8
Thus the confidence level is 87.88%.
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Would greatly appreciate the help with both A and B
The slope of the graph is -1. Which statement
describes how the slope is related to the burning of a
candle?
candle height increases 1 cm per hour
candle height decreases 9 cm per hour
candle is 1 cm tall
candle burns down 1 cm per hour
Answer:
d . candle burns down 1 cm per hour .
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Got it correct
Evaluate 3a - 4b for a = -1 and b =6
Answer:
-27
Step-by-step explanation:
3a - 4b
-3 - 4b
-3 - 24
-27
If f(x) = -3x-2, g(x) = 5x² + 3x + 4, and h(x) = 6x² +5, find h(-3)
Answer:
59
Step-by-step explanation:
To find h(-3), we simply need to plug in -3 for x in the expression for h(x):
h(-3) = 6(-3)² + 5
h(-3) = 6(9) + 5
h(-3) = 54 + 5
h(-3) = 59
Therefore, h(-3) is equal to 59.
solve for X in the equation
The image shows a simple linear equation.
We can find the solution, following these steps.
Step 1
Cross multiply
\(\begin{gathered} \frac{9}{2}=\frac{x}{8} \\ 2x=72 \\ \end{gathered}\)Step 2
Divide both sides by 2
\(\begin{gathered} \frac{2x}{2}=\frac{72}{2} \\ x=36 \end{gathered}\)The answer is 36
Figure ABCD is a parallelogram.
Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
Answer: 44 units
Step-by-step explanation:
Opposite sides of a parallelogram are equal, hence sides
AB = DC
4y-2 = 2y+6
2y=8
y=4
and
BC = AD
2x+2=3x-1
x=3
AB = 4Y-2
y=4
AB=14
BC=2x+2
x=3
BC=8
Perimeter = 2 X (AB + BC)
= 2 X (14+8)
= 44
Answer:
44 units
Step-by-step explanation:
I need answering ASAP please and thank you
Answer:
one
Step-by-step explanation:
The red graph intersects the blue graph at one point
That is the number of solutions to the system
Answer:
one
Step-by-step explanation:
I had to do this question once. It was hard. I remember the answer. it is one. You have to trust me.
A student ran a distance of 3 1/2miles each day for 5 days. Then the student ran a distance of 4 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
Answer:
To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.
Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles
Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles
Total distance = Distance for the first 5 days + Distance for the next 5 days
Total distance = 17.5 miles + 21.25 miles
Total distance = 38.75 miles
Therefore, the student ran a total of 38.75 miles during these 10 days.
What is the value of 55 x 2 ÷ 11 - 10
A) 0
B) 1
C) 9
D) 27.5
Answer: 0
Explanation: Divide 2 and 11, and you get 2/11 and multiply that with 55 you get 10 and 10 - 10 equals 0! ^^
A high school is voting on a new mascot. Lion Eagle Bee Ninth Grade 45% 32% 23% Tenth Grade 36% 40% 24% Eleventh Grade 50% 28% 22% Twelfth Grade 40% 25% 35% Match the two-way table to the segmented bar graph.
The steps to create a bar graph are explained below.
To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.
Here is how we can match the two-way table to the segmented bar graph:
For the Lion mascot option, the segmented bar graph would have the largest segment for 11th grade, followed by 9th grade, 10th grade, and 12th grade.For the Eagle mascot option, the segmented bar graph would have the largest segment for 10th grade, followed by 11th grade, 9th grade, and 12th grade.For the Bee mascot option, the segmented bar graph would have the largest segment for 12th grade, followed by 9th grade, 10th grade, and 11th grade.By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.
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Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?
Answer:
Ximena can use 1 gigabytes of data
Step-by-step explanation:
The first thing you want to do is subtract
51.10 - 44.50 = 5.6
5.6 is the amount of money she will have to spend on data
With each gigabyte costing 4 dollars and only 5 dollars to spend
she can only use one gigabyte
please help!! find the inverse of image attached :)
The correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."
What is inverse?More precisely, if f is a function that maps elements from a set A to elements in a set B, then the inverse function of f, denoted as f^(-1), is a function that maps elements in set B back to elements in set A.
According to question:The given statement is: "If x equals 3, then 2b + 5 equals 11."
To find the inverse, we negate both the hypothesis and the conclusion of the statement and switch their order:Inverse: If x does not equal 3, then 2b + 5 does not equal 11.Therefore, the correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."
The inverse function f^(-1) is defined such that f(f^(-1)(x)) = x for all x in B, and f^(-1)(f(x)) = x for all x in A. In other words, applying the inverse function to the output of the original function returns the input value.
The existence of an inverse function depends on the properties of the original function. For example, a function must be one-to-one (or injective) to have an inverse function, which means that each input maps to a unique output. If a function is not one-to-one, then its inverse function may not exist or may have limited domain and range.
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What fraction of the larger square has not been shaded?
A: 14/16
B: 5/8
C: 1/2
D: 2/3
E: 12/16
The fraction of the larger square has not been shaded is 2/3. Therefore, option D is the correct answer.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
In the given figure, two rhombus are shaded.
Completely, the given square is divided into 6 rhombus.
Fraction to represent the shaded area = 2/6
Fraction to represent the not shaded area = 1-2/6
= 4/6
= 2/3
Therefore, option D is the correct answer.
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The histogram shows the result of a survey about the number of hours students watch television on the weekend.
How many students participated in the survey?
The number of students who participated in the survey, based on the histogram showing the number of hours students watch television on the weekend, is 125.
What is a histogram?A histogram is a pictorial or graphical representation of categorical data, proportional to the frequency of a variable and whose width is equal to the class interval.
The number of students who watched between 0 - 4 hours = 20
The number of students who watched between 5 - 9 hours = 40
The number of students who watched between 10 - 14 hours = 30
The number of students who watched between 15 - 19 hours = 20
The number of students who watched between 20 - 24 hours = 15
The total number of students who participated = 125
Thus, using the histogram, the total number of students who participated in the survey was 125.
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A coin is flipped five times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 5 from {H, T}, such as HHHTH. Assuming the coin is a fair coin, give the proba- bility of each event. (a) The first and last flips come up heads. (b) There are at least two consecutive flips that come up heads. (c) The first flip comes up tails and there are at least two consecutive flips that come up heads.
(a)there are four possible outcomes in the set and the coin is fair, the probability of this event is 4/32 or 1/8.
(b)There are 16 possible outcomes, and the probability of this event is 16/32 or 1/2.
(c) the probability of this event is 3/32.
(a) The event that the first and last flips come up heads can be expressed as the set {HHHHT, HHHTH, HHTHH, HTHHH}, which contains all the possible outcomes that have heads as the first and last flip. Since there are four possible outcomes in the set and the coin is fair, the probability of this event is 4/32 or 1/8.
(b) The event that there are at least two consecutive flips that come up heads can be expressed as the set {HHHHH, HHHHT, HHHTH, HHTHH, HTTHH, THHHH, THHHT, TTHHH}, which contains all the possible outcomes that have at least two consecutive heads. There are 16 possible outcomes, and the probability of this event is 16/32 or 1/2.
(c) The event that the first flip comes up tails and there are at least two consecutive flips that come up heads can be expressed as the set {THHHT, THHTH, THTHH}, which contains all the possible outcomes that have tails as the first flip and at least two consecutive heads. There are 3 possible outcomes in the set, and the probability of this event is 3/32.
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Expand and simplify (x - 5)(x - 4)
Answer:
(x - 5) (x - 4)
x(x - 4) - 5(x -4)
x^2 - 4x - 5x - 20
x^2 - 9x - 20
Expand: x (x - 4) - 5 (x - 4)
Simplify: x^2 - 9x - 20
how can you solve equations with squares and vines
Define Squares :
Steps to Solving Equations by Completing the Square
Rewrite the equation in the form \(x^{2}\) + b x = c.Add to both sides the term needed to complete the square.Factor the perfect square trinomial.Solve the resulting equation by using the square root property.For example:
4\(X^{2}\) = 784
\(X^{2}\) =784/4
\(X^{2}\) = 196
X = \(\sqrt{196}\)
X = ± 14
Define Vines :
A vine is a graphical tool for labeling constraints in high-dimensional probability distributions. A regular vine is a special case for which all constraints are two-dimensional or conditional two-dimensional.
For example:
A vine is 5 inches long.
The vine will grow 2 inches a week. Which function represents the length of the vine after n weeks?
y = 2x+5.
Where y is length x is weeks.
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Which equation is equivalent to 2 Superscript 4 x Baseline = 8 Superscript x minus 3?
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 3
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 6
2 Superscript 4 x Baseline = 2 Superscript 3 x minus 3
The equivalent exponential equations are given as follows:
\(2^{4x} = 2^{3(x - 3)}\)
How to obtain the equivalent exponential expression?The exponential expression for this problem is defined as follows:
\(2^{4x} = 8^{x - 3}\)
The number eight is the third power of 3, that is:
8 = 2³.
The power of a power rule is used when a single base is elevated to multiple exponents.
Then the simplified expression is obtained keeping the base, while the exponents are multiplied.
Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:
\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)
Meaning that the correct option is given by the fourth option.
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You
Is 636,984 divisible by 9?
Is it
Answer:
70776
Step-by-step explanation:
636,984 is divisible by 9, the answer is 70776
Which of the following is the equation of a line with the points (8, 3)(9, 5) and a slope of 2?
Answer:
y = 2x - 19
Step-by-step explanation:
Given the following data;
Points (x, y) = (8, 3) and (9, 5)
Slope = 2
To find the equation of line;
y - y1 = m(x - x1)
Where;
(x1, x2) = (8, 9)
(y1, y2) = (3, 5)
Substituting the value into the equation above;
y - 3 = 2(x - 8)
y - 3 = 2x - 16
y = 2x - 16 + 3
y = 2x - 19
I owe $8500 on my credit card. The card has a promotional interest rate of 0% for 24 months. To repay the debt, I'm going to pay a fixed amount toward the balance every month. After 12 months, my remaining debt will be $6460. Which of the following equations correctly relates the remaining debt (D) to the number of months (t) I've been making payments? (Select all that apply.)
Question 4 options:
D=6460+170t
D=170t−6460
170t+D=8500
D=−170t+8500
D+6460=8500t
Answer:
170t+D=8500
D=170t−6460
Step-by-step explanation:
Mathematical models are used to explain real life situations.
We can see from the question that the total debt is $8500 while there is interest rate of 0% for 24 months. We are also told that after 12 months, the remaining debt was $6460.
Now, the equations that correctly model the situation are;
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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3/4x+1/3=1/2x+5
2
3
6
12
Answer:
12 because it is a common factor of the denominators
Answer:
178
Step-by-step explanation:
(RATIO QUESTION) Apple crumble is made using the following ingredients.
Serves 8 people
700 g apple
250 g sugar
180g flour
40g butter
c) Sienna has 500g of apples and plenty of the other ingredients.
Can she make apple crumble for 6 people? Yes/No
Explain how you got your answer.
a) He needs 500 g of sugar to make apple crumble for 16 people.
b) She needs 45 g of flour to make apple crumble for 2 people.
c) 500g of apples is enough to make apple crumble for 6 people.
How to obtain the amounts?The amounts for this problem are obtained according to the proportions given in the problem.
For 8 people, the amount of sugar needed is of 250 g. For 16 people, the number of people doubles, hence the amount of sugar needed will also double, as follows:
2 x 250 = 500 g.
For 2 people, the amount of each item is divided by 4, hence the amount of flour needed is given as follows:
180/4 = 45 g.
The amount of apple needed per people is of:
700/8 = 87.5 grams.
For 6 people, the amount is given as follows:
6 x 87.5 = 525 grams.
Hence 500g of apples is enough to make apple crumble for 6 people.
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