Mathematics College

Chow do I solve 6w - 6 = 54

Answers

Answer 1

Answer:

w = 10

Step-by-step explanation:

6w - 6 = 54

6w = 54 + 6

6w = 60

w = 60/6

w = 10

Related Questions

What are m and b in the linear equation y = 20x + 13?

Answers

Answer: M is the variable used for slope and B is the y-intercept. In other words, 20 = M or your slope. B = 13 or your Y-intercept.

I hope this makes sense!

The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Which correctly compares the ranges of the data?
The range in shelter A is 11, and the range in shelter B is 4.
The range in shelter A is 20, and the range in shelter B is 10.
The range in shelter A is 13, and the range in shelter B is 8.
The range in shelter A is 22, and the range in shelter B is 18.

Answers

Answer:

The range in shelter A is 22, and the range in shelter B is 18.

Step-by-step explanation:

Okay so basically, the range is the difference between the smallest number and the greatest number.

The smallest weight for shelter a is 8. The largest weight is 30.

30-8= 22.

Same thing for the other shelter. The smallest weight is 10, and the largest weight is 28. 28-10= 18.

Answer:

D; The range in shelter A is 22, and the range in shelter B is 18.

Step-by-step explanation:

edg2020

Shelter A: 30-8= 22

Shleter B: 28-10= 18

The range is max minus min. Therefore D is correct. Pretty simply stuff yall

Calculate the length between the points (2, 3)
and (5. 7)
A. 3
B. 4
C. 5
D. 6

Answers

Your answer is 4

If you count going up, down, or at an angle between each point you’ll get a distance of 4.

Goran plans to buy a used van that costs $22,000. The dealer requires a 20% down payment. The rest of the cost is financed with a 2-year, fixed-rate amortized auto loan at 4% annual interest with monthly payments. Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas. (a) Find the required down payment. $4,400 (b) Find the amount of the auto loan. $17,600 (c) Find the monthly payment. $0 X

Answers

The monthly payment for the auto loan is approximately $762.43.

(a) To find the required down payment, we need to calculate 20% of the cost of the van.

Down payment = 20% of $22,000

Down payment = 0.2 $\times$ $22,000

Down payment = $4,400

Therefore, the required down payment is $4,400.

(b) The amount of the auto loan is the remaining cost of the van after the down payment.

Loan amount = Total cost of van - Down payment

Loan amount = $22,000 - $4,400

Loan amount = $17,600

Therefore, the amount of the auto loan is $17,600.

(c) To calculate the monthly payment for the auto loan, we can use the formula for the monthly payment on an amortized loan:

Monthly payment = (Loan amount $\times$ Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Number of months))

In this case, the loan amount is $17,600, the annual interest rate is 4%, and the loan duration is 2 years, which is 24 months.

Monthly interest rate = Annual interest rate / 12

Monthly interest rate = 4% / 12

Monthly interest rate = 0.04 / 12

Monthly interest rate = 0.00333

Plugging in the values into the formula:

Monthly payment $= ($17,600\times0.00333) / (1 - (1 + 0.00333)^{(-24)})$

After calculating, the monthly payment comes out to be approximately $762.43.

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Solve for X. 22 = 10x Simplify your answer as much as possible. x = 음. 6 08 ?

Answers

Answer:

x=11/5

Step-by-step explanation:

isolate x

22/10 = 10x/10

22/10 = x

simplify

11/5 = x

If a, b, c, d are positive real numbers such that a, b, c, d form an increasing arithmetic sequence and a, b, d form a geometric sequence, then a/d is
a. 1/12
b. 1/6
c. ¼
d. 1/3
e. ½

Answers

A/d is equal to c/b if a, b, c, and d are positive real numbers that form an increasing arithmetic sequence and a, b, d, a geometric sequence.

Since a, b, c, d form an increasing arithmetic sequence, we can write them as

a = x,

b = x + d,

c = x + 2d

Also, since a, b, d form a geometric sequence, we have

a = bx, d = b2

Substituting the values in the equation for c and d, we get

c = x + 2b2

Now, dividing both sides by b, we get

a/d = c/b

=> a/d = (x + 2b2)/b

=> a/d = x/b + 2b

=> a/d = c/b

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Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.

Answers

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) $\times$ (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) $\times$(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) $\times$(x + 1/2)

(y - 6) = -1/4 $\times$(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Use properties of operations to determine if the two expressions are equivalent:

(y+10)+y+9 and 2 (y+7)+5

Answers

The two expressions are equivalent is equal to 2y+19.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

(y+10)+y+9

⇒ y+y+10+9

⇒2y+19

using addition we get this.

now, we have,

and 2 (y+7)+5

⇒2y +14+5

⇒2y+19

using multiplication & then addition , we get, this.

Hence, the two expressions are equivalent is equal to 2y+19.

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Please help I can’t figure it out

Answers

well, let's first off find out how many actually do favor it in the first place.

$\stackrel{total}{4000}\cdot \cfrac{3}{8}\implies \stackrel{seniors}{\text{\LARGE 1500}}\hspace{12em}\stackrel{total}{4000}-1500=\stackrel{not~seniors}{\text{\LARGE 2500}} \\\\[-0.35em] ~\dotfill$

$\stackrel{seniors}{\text{\LARGE 1500}}\cdot \cfrac{1}{6}\implies \stackrel{in~favor}{\text{\LARGE 250}}\hspace{11em} \stackrel{not~seniors}{\text{\LARGE 2500}}\cdot \cfrac{3}{5}\implies \stackrel{in~favor}{\text{\LARGE 1500}} \\\\[-0.35em] ~\dotfill\\\\ 250+1500\implies \stackrel{in~favor}{\text{\LARGE 1750}}\hspace{15em}\boxed{\underset{\textit{do not favor it}}{\stackrel{4000~~ - ~~1750}{\text{\LARGE 2250}}}}$

Find the surface area of the rectangular prism

Answers

I believe it would be 242 cm^2

please answer this as quick as possible

Answers

Answer:

-18

Step-by-step explanation:

Hope This Helps :)

When is it appropriate to use the two-sample t-methods instead of the one sample t-methods? Choose the correct answer below. A. Use the two-sample t-methods when a sample was taken from each of two populations (i.e. two groups being compared) and the population standard deviations are not known. Use the one-sample t-methods when a sample was taken from one population. B. Use the two-sample t-methods when a random sample was not taken. Use the one-sample t-methods when a random sample was taken. C. Use the two-sample t-methods when the conditions for inference using the one-sample t-methods aren't satisfied. D. Use the two-sample t-methods when the population standard deviation is known. Use the one-sample t-methods when the population standard deviation is not known.

Answers

Answer:

A. Use the two-sample t-methods when a sample was taken from each of two populations (i.e. two groups being compared) and the population standard deviations are not known.

Step-by-step explanation:

T-distribution:

When the population standard deviation is not known, the t-distribution is used.

If a sample was taken from one population, we use the one-sample method, while if there is a comparison of two populations, the two-sample method is used, and thus, the correct answer is given by option A.

2) After driving for 20 minutes, you have travelled 16 miles. On the same trip, after driving 55
minutes, you have travelled 60 miles. What is the average rate of travel? (don't forget the units)

Answers

Answer:

76 miles in a 1 hour in 20 min

Step-by-step explanation:

show that an ordered set has the least upper bound property if and only if it has the greatest lower bound property.

Answers

An ordered set has the least upper bound property if and only if it has the greatest lower bound property.

Every nonempty subset A0 of an ordered set A is said to have the least upper bound property and has the lowest upper bound that is constrained above. A fulfills this requirement. Assume B0 is a set of any size with a lower bound. We must demonstrate that it has the largest lower bound. Assume LA is the collection of all the set B0's lower bounds.

∃b0∈B0,∀x∈L,x≤b0.

L is therefore bound above. So it has the lowest upper bound. Let b represent the lower limit of L.

∀x∈L,x≤b.

If ∃b′∈B0,b′≤b, which defies the assertion that b is the lowest upper bound of L. As a result,

b≤y,∀y∈B0.

So, b is the lower bound.

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Each procedure below is intended to check whether a string is a palindrome.

In the pseudocode $a_{1}[/text], \(a_{2}$, etc. refer to the individual characters of a string.

procedure check1 ($a_{1}$, .... $a_{2}$: string)

answer = true;

for i = 1 to floor($\frac{n}{2}$)

if $a_{n}$ $\neq$ $a_{n + 1 - i}$then answer = false

return answer

procedure check2 ($a_{1}$, .... $a_{2}$: string)

answer = true;

for i = 1 to n

if $a_{n}$ $\neq$ $a_{n+1-i}$ then answer = false

return answer

a. (True/False) check1 is correct (outputs the correct answer)

b.(True/False) check2is correct (outputs the correct answer)

c.check1 perfomrs how many comparisons (answer in terms of n, the string length)

d. How many comparisons does check2 perform

e.(True/False) check1 takes longer to complete than check2

Answers

The given pseudocode, etc. refers to the individual characters of a string.

a. False, the if statement in check1 is incomplete, and the limit of the for loop is not defined.

b. False, the if statement in check2 should compare $etc [i]$ to $etc [n-i+1],$ instead of$etc [i]$ to $etc [i+1].$

c. check1 performs (n/2) comparisons, since it only needs to compare half of the string to the other half.

d. check2 performs n/2 comparisons, since it compares each character in the string with its corresponding character on the other side of the string.

e. It's impossible to determine which procedure takes longer to complete without additional information.

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Determine how many integer solutions there are to

x₁ + x₂ + x3 + x₁ = 20, if
0≤x₁ < 3, 0≤ x₂ < 4, 0≤x3 <5, 0≤x4 < 6

Answers

Based on the information given, there are a total of 118 solutions.

How many possible solutions are there?

This is a problem of solving a Diophantine equation subject to some conditions. Let's introduce a new variable y4 = 20 - (x1 + x2 + x3 + x4). Then the problem can be restated as finding the number of solutions to:

x1 + x2 + x3 + y4 = 20

Subject to the following conditions:

0 ≤ x1 < 3

0 ≤ x2 < 4

0 ≤ x3 < 5

0 ≤ y4 < 6

We can solve this problem using the technique of generating functions. The generating function for each variable is:

(1 + x + x^2) for x1

(1 + x + x^2 + x^3) for x2

(1 + x + x^2 + x^3 + x^4) for x3

(1 + x + x^2 + x^3 + x^4 + x^5) for y4

The generating function for the equation is the product of the generating functions for each variable:

(1 + x + x^2)^3 (1 + x + x^2 + x^3 + x^4 + x^5)

We need to find the coefficient of x^20 in this generating function. We can use a computer algebra system or a spreadsheet program to expand the product and extract the coefficient. The result is: 1118

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Answer: This problem involves finding the number of non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20 subject to the given constraints. We can use the stars and bars method to solve this problem.

Suppose we have 20 stars representing the sum x₁ + x₂ + x3 + x₁. To separate these stars into four groups corresponding to x₁, x₂, x₃, and x₄, we need to place three bars. For example, if we have 20 stars and 3 bars arranged as follows:

**|**||

then the corresponding values of x₁, x₂, x₃, and x₄ are 2, 4, 6, and 8, respectively. Notice that the position of the bars determines the values of x₁, x₂, x₃, and x₄.

In general, the number of ways to place k identical objects (stars) into n distinct groups (corresponding to x₁, x₂, ..., xₙ-₁) using n-1 separators (bars) is given by the binomial coefficient (k+n-1) choose (n-1), which is denoted by C(k+n-1, n-1).

Thus, the number of non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20 subject to the given constraints is:

C(20+4-1, 4-1) = C(23, 3) = 1771

However, this count includes solutions that violate the upper bounds on x₁, x₂, x₃, and x₄. To eliminate these solutions, we need to use the principle of inclusion-exclusion.

Let Aᵢ be the set of non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20 subject to the given constraints, where xᵢ ≥ mᵢ for some integer mᵢ. Then, we want to find the cardinality of the set:

A = A₀ ∩ A₁ ∩ A₂ ∩ A₃

where A₀ is the set of all non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20, and Aᵢ is the set of solutions that violate the upper bound on xᵢ.

To find the cardinality of A₀, we use the formula above and obtain:

C(20+4-1, 4-1) = 1771

To find the cardinality of Aᵢ, we subtract the number of solutions that violate the upper bound on xᵢ from the total count. For example, to find the cardinality of A₁, we subtract the number of solutions where x₂ ≥ 4 from the total count. To count the number of solutions where x₂ ≥ 4, we fix x₂ = 4 and then count the number of solutions to the equation x₁ + 4 + x₃ + x₄ = 20 subject to the constraints 0 ≤ x₁ < 3, 0 ≤ x₃ < 5, and 0 ≤ x₄ < 6. This count is given by:

C(20-4+3-1, 3-1) = C(18, 2) = 153

Similarly, we can find the cardinalities of A₂ and A₃ by fixing x₃ = 5 and x₄ = 6, respectively. Using the principle of inclusion-exclusion, we obtain:

|A| = |A₀| - |A

Step-by-step explanation:

some adults and children are watching a musical there are n children there are 25 fewer adults

Answers

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?

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Can someone please provide a step-by-step explanation for the answer?

If the universe of discourse is the real numbers, give the truth value of each of the
following propositions:

(a) ∀x∃y(x = y²)
(b) ∀x∃y(x² = y)
(c) ∃x∀y(xy = 0)
(d) ∀x∃y(x + y = 1)

Answers

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Jim worked 45 hours this week. He earns time and a half for overtime. He is paid $12.59 per/hour, how much will he earn this week?

Answers

Answer: 566.55 US dollars

Step-by-step explanation: i think, please give 5 stars

Part D
Now use GeoGebra to measure the lengths of segments AB and BC and calculate the area of rectangle ABCD. Do you get the same result that you obtained in part C? Take a screenshot with the lengths of the sides labeled and the area displayed, and paste it below.

Answers

Answer:

id ont givea

efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr

Step-by-step explanation:

idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity: