While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After
returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars
does Phelan now have? Round to the nearest cent.
1 European euro = 1,3687 US dollars
O 44.70 US dollars
O 73.06 US dollars
O 136.87 US dollars
O 140.41 US dollars

Answer:

Step-by-step explanation:

Examining the figure, the relationships that  proves why Δ ABC and Δ FBD are congruent is

D. SSS

The SSS (Side-Side-Side) congruence theorem is a criterion used to determine congruence between two triangles.

According to the SSS Congruence Theorem  if the three sides of one triangle are congruent to the corresponding three sides of another triangle, then the two triagnles are congruent.

The congruent sides of the triangles are marked by strokes on each side

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Answer:

The tank will contain 202 Ib of salt when it's full.

Step-by-step explanation

To find the amount of salt in the tank at time t= x(t)

If x(0)= 90Ib

To find the volume of the tank at time t

V(t)= 90+(4-3)t=90+t gal

Other solutions are found attached

Square abοve wοuld have the same area as square F is b)square C.

The regiοn that an οbject's shape defines as its area. The area οf a figure οr any οther twο-dimensiοnal geοmetric shape in a plane is hοw much space it οccupies.

Here the square A is cοntains 4- 1 unit squares.

Then length οf the square = 2 units,

If Square A is dilated by scale factοr 1/2 then,

Length οf square  F = \(2\times \frac{1}{2}\) = 1unit.

Area οf square F = 1*1 = 1 square unit.

Then in the given squares , square C οnly has 1 unit side length.

Hence the cοrrect οptiοn is b) Square C.

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Answer:

122.5°

Step-by-step explanation:

The angles add to form a linear pair, so the angles add to 180°. Thus, 8x=174, meaning x=21.75.

So, angle JKM is 6(21.75)-8 = 122.5°.

Answer:

\(x=\frac{z-y}{2y}\)

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

d + s= 86.50----------1

d - 25.50 = s

d - s=25.50------------2

1 - 2

(d-d) +(s-(-s))=86.50-25.50

2s=60

s=60/2=$30

The cost of a stool is $30.5 if the total cost of a desk and a stool is $86.50 and the stool costs $25.50 less than the desk.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The total cost of a desk and a stool is $86.50.

The stool costs $25.50 less than the desk.

Let the cost of the desk is $d

Let the cost of the stool is $s

d + s = 86.50
s = d - 25.50

The above two equations represent two linear equations in two variables.

By solving by substitution method:

Plug s = d - 25.50 in the first equation

d + d - 25.50 = 86.50

2d = 86.50 + 25.50

2d = 112

d = 112/2

d = $56

s = 86.50 - 56

s = $30.5

Thus, the cost of a stool is $30.5 if the total cost of a desk and a stool is $86.50 and the stool costs $25.50 less than the desk.

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Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.

Fixed costs: $34,000

Variable costs per widget: $5.00

Total costs = Fixed costs + (Variable costs per widget × Number of widgets)

Total costs = $34,000 + ($5.00 × 7,000)

Total costs = $34,000 + $35,000

Total costs = $69,000

Average cost per widget = Total costs / Number of widgets

Average cost per widget = $69,000 / 7,000

Average cost per widget ≈ $9.86

Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.

Step-by-step explanation: :)

Answer:

The answer is C

Step-by-step explanation:

Answer: 7/10.

Step-by-step explanation: To write 0.7 as a fraction, you can use the following steps:

Multiply 0.7 by 10 to get 7.0

Write 7.0 as a fraction: 7.0 = 7/1

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 1 in this case: 7/1 = 7/1

Therefore, 0.7 can be written as a fraction in simplest form as 7/10.

Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

Therefore, the solution to the inequality 3(y + 1/4) > 3/4 is y > 0.

An inequality is a mathematical statement that shows a relationship between two values, which are not necessarily equal. Inequalities are represented using symbols such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to). Inequalities are commonly used in algebra and other areas of mathematics, as well as in real-world applications such as finance, economics, and science. They can be used to represent constraints or limits on a variable, such as the maximum or minimum value that it can take.

Here,

We can solve the inequality 3(y + 1/4) > 3/4 by first distributing the 3 to the expression inside the parentheses:

3y + 3/4 > 3/4

Next, we can simplify by subtracting 3/4 from both sides:

3y > 0

Finally, we can solve for y by dividing both sides by 3:

y > 0/3

y > 0

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1. \( \frac{1}{3} \times \frac{2}{5} \\ \frac{1 \times 2}{3 \times 5} = \frac{2}{15} \)

2. \( \frac{2}{5} \div \frac{3}{5} \\ \frac{2}{5} \times \frac{5}{3} \\ = \frac{2}{3} \)

- BRAINLIEST answerer

1. When multiplying fractions, multiply the numerators and multiply the denominators:

1/3 x 2/5 = (1 X 2) / (3 X 5) = 2/15

2. When dividing fractions multiply by the inverse of the second fraction.

2/5 / 3/5 = 2/5 x 5/3 = 10/15 = 2/3

The required solution is correct. AB = 5.5.

Given that,

AB=[1+4.5]=5.5

To describe the expression and to determine whether the expression is correct or not.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
Simplifying the given expression, AB = 1 + 4.5
AB = 1 + 4.5
Addition property of alike terms
AB = 1.00 + 4.50
AB = 5.50

AB = 5.5

Thus, the required solution is correct. AB = 5.5

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Answer:

I am sorry but there is not enough info to solve this.

Step-by-step explanation:

Is there anything else that I can assist you today?

Answer:

The first step is to calculate the average daily balance for the billing cycle. This is done by adding up the daily balances for each day of the billing cycle and then dividing by the number of days in the billing cycle. In this case, the billing cycle is from July 7 to August 6, so there are 31 days in the billing cycle.

The daily balances are as follows:

* July 7: $216.71

* July 14: $268.75

* July 17: $284.37

* July 21: $116.71

* July 24: $260.74

The average daily balance is therefore $226.81.

The next step is to calculate the finance charge. This is done by multiplying the average daily balance by the interest rate and then by the number of days in the billing cycle. In this case, the interest rate is 1.25% and the number of days in the billing cycle is 31 days.

The finance charge is therefore $7.43.

The final step is to calculate the new balance. This is done by adding the finance charge to the previous balance. In this case, the previous balance is $216.71 and the finance charge is $7.43. The new balance is therefore $224.14.

Here is the solution in mathematical form:

* Average daily balance = (216.71 + 268.75 + 284.37 + 116.71 + 260.74) / 31 = 226.81

* Finance charge = 226.81 * 0.0125 * 31 = 7.43

* New balance = 216.71 + 7.43 = 224.14

Step-by-step explanation:

If λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

The equation Av = λv, where v is a non-zero vector, is satisfied by an eigenvector v and an eigenvalue given a square matrix A. In other words, the eigenvector v is multiplied by the matrix A to produce a scalar multiple of v. Due to their role in illuminating the behaviour of linear transformations and differential equation systems, eigenvectors play a crucial role in many branches of mathematics and science. When the eigenvector v is multiplied by A, the eigenvalue indicates how much it is scaled.

The eigenvalue and eigenvector states that, let v be a non-zero eigenvector of A corresponding to the eigenvalue λ.

Then, we have:

Av = λv

Taking transpose on both sides we have:

\(v^T A^T = \lambda v^T\)

The above equations thus relates transpose of vector and transpose of A to λ.

Now, consider a matrix:

\(\left[\begin{array}{cc}1&2\\3&4\\\end{array}\right]\)

Now, the eigen values of this matrix are λ1 = -0.37 and λ2 = 5.37.

The eigenvectors are:

\(v1 = [-0.8246, 0.5658]^T\\v2 = [-0.4159, -0.9094]^T\)

Now, for transpose of A:

\(A^T=\left[\begin{array}{cc}1&3\\2&4\\\end{array}\right]\)

The eigen vectors are:

\(u1 = [-0.7071, -0.7071]^T\\u2 = [0.8944, -0.4472]^T\)

Hence, we see that, if λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

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The probability that she picks a blue marble three times in a row is 1/125.

Given that

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

We have to determine

What is the probability that she picks a blue marble three times in a row?

According to the question

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

The probability of picking a bag one time is,

Number of bag pack at a time

Total number of bag

=1/5

The probability of picking a bag second time is,

Number of bag pack at a time Total number of bag

=1/5

The probability of picking a bag third time is,

Number of bag pack at a time

Total number of bag

=1/5

031%

Therefore,

The probability that she picks a blue marble three times in a row is,

= 1/5 X 1/5 X 1/5

1 /125

Hence, the probability that she picks a blue marble three times in a row is 1/125.

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Step-by-step explanation:

hope this helps

Answer: 8 & 13

Step-by-step explanation:

13 squared is 169 and 8 squared is 64, and the difference of those two squares would be 169 - 64 = 105. Hope this helps!

Answer:

in 3 minutes and 50 seconds

Step-by-step explanation:

soup = 95c

after 1 minute = 83c

after 2 minutes = 71c

after 3 minutes = 59

soup cools down 0.2c in 1 seconds

so 10 seconds = 2c

in 3 minutes and 50 seconds = 49c

The temperature 49°C of soup bowl will be after 5.54 minutes

\((T-T_{s} )=(T_{0} -T_{s} )e^{-kt}\)

\(T =\) 83°C and 49°C

\(T_{s} =\) 22°C

\(T_{0} =\) 95°C

(83-22)=(95-22)\(e^{-k}\)

∴ k = -ln (61/73)

Now,

(49-22) = \(e^{ln(61/73)t}\)

∴ t = \(\frac{ln (27/73)}{ln(61/73)}\)

∴ t = 5.54 minutes

So, after 5.54 minutes temperature will be 49°C

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1. The lateral surface area of the prism is 200 units²

2. The lateral surface area of the cylinder is 125.6 cm²

The lateral surface area is the area of the lateral surface.

The lateral surface area of a prism is expressed as;

LSA = (a+b+c)h

or perimeter of the base × height

LSA = (6+12+7)8

= 25 × 8

= 200 units²

The lateral surface area of a cylinder

= 2πrh

r = 4cm and h = 5cm

LSA = 2 × 3.14 × 4 × 5

LSA = 40 × 3.14

= 125.6cm²

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Answer:

108 inches²

Step-by-step explanation:

Rectangular prism = cuboid

To find how much paper is required to cover the box, we need to find the TSA of the cuboid.

TSA of cuboid = 2 [LB + LH + HB] = 2 [ (3×4) + (3×6) + (4×6) ] = 2 [ 12+18+24 ] = 2 × 54 = 108 inches²

Factor the x out first:

x(6x^2 - 7x - 5) = 0

Then factor the quadratic expression in the parenthesis:

x(2x + 1)(3x - 5) = 0

x = -1/2, 0, 5/3

Answer:

\(\mbox{\large \textsf{Timothy bought 14 books}}\)

Step-by-step explanation:

Let's use first letters of names to represent the number of books bought by that person. This makes it easier to explain.

Therefore, the books bought by each of the three persons are T(imothy), L(aurence) and M(ike)

We will now convert each of the word description into math equations and solve

We are given that the ratio of the number of books bought by Laurence and Mike were 2: 7

We can write this as:
\(\dfrac{L}{M} = \dfrac{2}{7}\\\\\)

Multiplying both sides by M:
\(L = \dfrac{2}{7}M\cdots\cdots(1)\)  

Timothy and Laurence bought a total of 20 books can be represented as
\(T + L = 20\cdots\cdots(2)\)

Timothy and Mike bought a total of 35 books can be represented as
\(T + M = 35\cdots\cdots(3)\)

Eq (3) - Eq (2):

\(T + M - (T + L) = 35 - 20\\\\T + M - T - L = 15\\\\M - L = 15 \cdots\cdots (4)\)

Substituting for \(\displaystyle L = \frac{2}{7}M\)  from equation (1) into equation (4) we get

\(M - \dfrac{2}{7}M = 15\\\\\dfrac{5}{7}M = 15\\\\M = \dfrac{7}{5} \times 15\\\\M = 21\\\\\)

Given \(\displaystyle M = 21\) using equation (3), \(\displaystyle T + M = 35\) we get

\(T + 21 = 35\\\\T = 35 - 21\\\\\textrm{or}\\\\T = 14\)(Answer)

If we wanted to find out how many books Laurence bought use Eq(1)
\(L = \dfrac{2}{7}M\\\\L = \dfrac{2}{7} \times 21\\\\L = 6\\\\\)

Answer:

Hello Love!

8 ÷ 3/5 = 13 1/3 sense thats a mixed fraction I'll convert it and it converts to 13 x 3 + 1 = 40 so 40/3 is our answer

Given that the third side of the triangle is shorter than the sum of the other two sides' lengths and longer than the difference between the other two sides' lengths, the necessary expression will be "4x cm h 10x cm."

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. A mixture of numbers, variables, and functions is called an expression (such as addition, subtraction, multiplication or division etc.) You may think of expressions as being comparable to phrases. A mathematical statement using just numbers and one or more operation symbols is known as a numerical expression. Here,

The third side of the triangle is shorter than the sum of the other two sides' lengths and longer than the difference between the other two sides' lengths,

(h>7x - 3x) and (h<7x + 3x)

(7x - 3x) cm < h < (7x+ 3x) cm

4x cm < h < 10x cm

The required expression will be "4x cm< h< 10x cm" as the third side of the triangle is shorter than the sum of the other two sides' lengths and longer than the difference between the other two sides' lengths.

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x = number of tickets sold

25x = revenue from the x tickets sold

C = costs

y = profit

y = revenue - costs

y = 25x - C

Since we don't know what the expenses are, we can't replace C with a number.