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The transit and passenger trains will pass each other at 5:00 PM, considering their combined speed and the distance between New York and Boston.

The question involves using relative speed to determine the time at which two trains traveling towards each other will meet. The transit train travels from Boston to New York at a speed of 80 mph, and the passenger train travels from New York to Boston at a speed of 60 mph. Since both trains start at the same time and move towards each other, their combined speed is the sum of their individual speeds, which is 80 mph + 60 mph = 140 mph. To find the time taken for the trains to meet, we divide the total distance by their combined speed.

The distance between New York and Boston is 280 miles. Therefore, the time taken to meet is calculated by dividing the distance by the combined speed, which is 280 miles / 140 mph = 2 hours. Given that they departed at 3:00 PM, they will pass each other at 3:00 PM + 2 hours = 5:00 PM.

Similar triangles are defined as two triangles having equal B. corresponding angles, shown by the congruence of vertical angles, alternate interior angles, and the application of the AAA theorem.

Similar triangles are two triangles with equal corresponding angles. According to the question, in the figure, two triangles named triangle ABC and triangle FCE are observed to be similar because they have three sets of congruent angles - vertical angles (Angle ACB \\<=\ Angle FCE), alternate interior angles (Angle CAB \\<=\ Angle CFE), and another set of alternate interior angles (Angle CBA \\<=\ Angle CEF).

This is summed up by the AAA (Angle Angle Angle) theorem which states that two triangles are similar if all their corresponding angles are congruent. An example will be two right triangles which are equal when the hypotenuse and an acute angle of one are equal, respectively, to the hypotenuse and an acute angle of the other. These principles help us understand the similarity of triangles in geometry.

Option C) Smith have to pay $180 at the time of purchase.

Step-by-step explanation:

Mrs. Smith wants to use an installment plan to buy a washing machine and dryer set priced at $1,500.

We need to find the payment amount at the time of purchase.

This can be calculated by finding the 12% of the total price $1500.

Smith have to pay at the time of purchase = 12% of 1500

⇒ (12/100) × 1500

⇒ 12 × 15

⇒ 180

Hence, option C) $180 is the amount need to be paid by the Smith at the time of purchase.

Mrs. Smith will have to pay $180 at the time of purchase, not including taxes. This matches option B.

To find the down payment Mrs. Smith has to pay at the time of purchase, we need to calculate 12% of the total price of the washing machine and dryer set.

 The total price of the set is $1,500.

The down payment is 12% of this price.

To calculate the down payment, we multiply the total price by the down payment percentage:

 Down payment = Total price x Down payment percentage

Down payment = $1,500 x 12%

 First, we convert the percentage to a decimal by dividing by 100:

 12% = 12 / 100 = 0.12

Now we can calculate the down payment:

Down payment = $1,500 x 0.12

Down payment = $180

 Therefore, Mrs. Smith will have to pay $180 at the time of purchase, not including taxes. This matches option B.

Answer:

x=107

Step-by-step explanation:

Answer:

Width 4 Length 5

Step-by-step explanation:

4+4+5+5=18

4*5=20

Answer:if your talking about a square or rectangle then two sides would 5 and the other two four

Step-by-step explanation:area equals base times height

Base=5

Height=4

5*4=20 which is area

5+5+4+4=18 which is perimeter

Answer:

16

Step-by-step explanation:

the perimeter of the given rhombus is 8√5.

To find the perimeter of a rhombus, we need to calculate the sum of the lengths of all four sides.

Given the coordinates of the points touching the graph: (-5,-3), (-1,-1), (3,-3), and (-1,-5), we can calculate the distances between these points to find the lengths of the sides.

Let's calculate the lengths of the sides:

1. Side 1: Distance between (-5,-3) and (-1,-1)

Length = √[(x2 - x1)^2 + (y2 - y1)^2]

Length = √[(-1 - (-5))^2 + (-1 - (-3))^2]

Length = √[4^2 + 2^2]

Length = √[16 + 4]

Length = √20

Length = 2√5

2. Side 2: Distance between (-1,-1) and (3,-3)

Length = √[(x2 - x1)^2 + (y2 - y1)^2]

Length = √[(3 - (-1))^2 + (-3 - (-1))^2]

Length = √[4^2 + (-2)^2]

Length = √[16 + 4]

Length = √20

Length = 2√5

3. Side 3: Distance between (3,-3) and (-1,-5)

Length = √[(x2 - x1)^2 + (y2 - y1)^2]

Length = √[(-1 - 3)^2 + (-5 - (-3))^2]

Length = √[(-4)^2 + (-2)^2]

Length = √[16 + 4]

Length = √20

Length = 2√5

4. Side 4: Distance between (-1,-5) and (-5,-3)

Length = √[(x2 - x1)^2 + (y2 - y1)^2]

Length = √[(-5 - (-1))^2 + (-3 - (-5))^2]

Length = √[(-4)^2 + 2^2]

Length = √[16 + 4]

Length = √20

Length = 2√5

Now, we can calculate the perimeter by adding the lengths of all four sides:

Perimeter = Side 1 + Side 2 + Side 3 + Side 4

Perimeter = 2√5 + 2√5 + 2√5 + 2√5

Perimeter = 8√5

Therefore, the perimeter of the given rhombus is 8√5.

Answer:

P(E|F)=60%  P(E)=60%  Events E and F are independent

Step-by-step explanation:

I took it and got it right

The events E (being blond) and F (being a junior) are not independent because P(E|F) = 30% does not equal P(E) = 60%.

To determine whether the events E (being blond) and F (being a junior) are independent, we compare the probability of E given F, denoted as P(E|F), to the probability of E. If P(E|F) is equal to P(E), the two events are independent. Using the table, we first calculate P(E|F). Since 30% of juniors are blond, we have P(E|F) = 30%. Next, we determine P(E) by looking at the total percentage of students who are blond, which is 60%. Now, we compare P(E|F) with P(E).

If the events were independent, the probability of a student being blond should not change based on whether they are a junior. However, since P(E|F) = 30% which is different from P(E) = 60%, events E and F are not independent.

If we use v for Vidya's age, then the expression (24v)+6

Answer:

20 t shirt

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given the exponential function

f(t) = 228[tex](0.975)^{t}[/tex] ← where t is time in years

Substitute t = 20 into f(t), that is

f(20) = 228 × [tex](0.975)^{20}[/tex] = 228 × 0.60268.... ≈ 137 → A

Answer:

its

40 192 cm

Step-by-step explanation:

Answer:

40.192cm

Step-by-step explanation:

the circumference of a circle = ?

radius = 6.4cm

recall that,

circumference of a circle = 2πr

circumference of a circle = 2 x 3.14 x 6.4cm

circumference of a circle = 40.192cm

therefore the circumference of a circle whose radius is 6.4cm is evaluated to be equals to 40.192cm.

the answer to your question is option B 40.192cm

We are told that each person flips a coin 200 times. We know that a coin has two options when heads or tails fall, therefore, the results between Amir and Marvin are compared with the number of heads and the number of tails that each one obtained.

The theoretical probability says that out of 200 times a coin is flipped by having 50% heads or tails come out, 100 must be heads and 100 must be tails, theoretically obviously speaking.

Therefore with these values it would be the comparison.

Answer:

3456

Step-by-step explanation:

Answer:

Vicky's take home pay per month will be $1,580

Step-by-step explanation:

Given that her salary per annual i.e salary for the year = $24,000

Therefore salary per month would be $24,000/12 = $2,000.

From this, she must pay 15% income tax.

i.e 15% of salary

15/100 * 2000

= 0.15*2000

= $300.

Salary after paying tax = $2,000 - $300= $1,700.

Since, she must repay a loan at a rate of $120 per month we will reduct the loan from her salary,

$1,700 - $120 = $1,580

Vicky's take home pay per month will be $1,580

Answer: Vicky's take home pay per month is $1,580

Step-by-step explanation: If Vicky's annual gross salary (salary before any deductions) is given as 24000, then her monthly gross salary is derived as;

Salary Per month = 24000/12

Salary per month = 2000

She must pay 15 percent income tax and this derived as follows;

Income tax = 2000 x 0.15

Income tax = 300

Therefore her salary after tax deduction is derived as follows;

Salary after tax = 2000 - 300

Salary after tax = 1700

However, she must repay a loan (after tax deduction) at a rate of 120 per month, which is now derived as follows;

Salary after loan repayment = 1700 - 120

Salary after loan repayment = 1580

Therefore the calculations show that her take home pay after all adjustments comes down to $1,580 per month.

Answer:

infinite solutions, they overlap infinetely and go on infinitely, therefore they have infinite points of intersection.

Step-by-step explanation:

BRAINLIET PLZ

The number of solutions for the coincident lines is infinity many solutions.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A coordinate plane is shown with two lines graphs.

Line M has a slope of 1 and passes through the y axis at negative 2.

Line N has a slope of 1 and passes through the y axis at negative 2.

It means that both lines are one over the other which is coincident.

Then the number of solutions for the coincident lines is infinity many solutions.

More about the linear system link is given below.

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Answer:

73333.333

Step-by-step explanation:

100/4.5= 22.222

3300*22.222= 73333.333

Hope this will help u....

Answer:

32.1869

Step-by-step explanation:

multiply 20 by 1.609

multiplying miles by 1.609  will give you the answer

Answer:

20 miles =32.1869

Step-by-step explanation:

For an approximate result multiply the length value by 1.609.

Line NP is a tangent line, so angle N is 90 degrees.

Use the Pythagorean theorem to solve for x.

X = sqrt( 10^2 - 6^2)

X = sqrt(100-36)

X = sqrt(64)

X = 8

Given:

Number of mice and frequency

Mean = 7

To find:

The value of x.

Solution:

Number of mice = X

Frequency = Y

XY = Multiply X and Y values.

X         Y            XY

5         4            20

6         13           78

7         16           112

8          x            8x

9          6            54

Sum of Y = 4 + 13 + 16 + x + 6

               = 39 + x

Sum of XY = 20 + 78 + 112 + 8x + 54

                  = 8x + 264

Mean formula:

[tex]$Mean = \frac{\Sigma XY }{\Sigma Y}[/tex]

[tex]$7=\frac{8x+264}{39+x}[/tex]

Do cross multiplication.

[tex]7(39+x)=(8x+264)[/tex]

[tex]273+7x=8x+264[/tex]

Subtract 264 from both sides, we get

[tex]9+7x=8x[/tex]

Subtract 7x from both sides, we get

[tex]9=x[/tex]

The value of x is 9.

Answer:

Omar

Step-by-step explanation:

to find the base, which i am to assume they want to find the triangle base based on the formula they are using,

you should multiply base * height, then divide by 2, since it is a triangle, you not solving for a rectangle.

dividing by 2 and multiplying by 1/2 is the same thing!

so,

1/2 (7* 24) is the right answer to finding the base!

Kari looked at he direct base of 7*28, however, that shape is actually a rectangle... so Kari is wrong because he multiplied that dimension by 1/2, which is the formula for a triangle.

Omar is correct because he chose the dimensions of a triangle, and properly used the triangle formula!

i hope this helped you out!

stay safe!

:)

The information given, y = 11 inches, z = 14 inches, h = 7 inches, and w = 3 inches, is not enough to calculate the area of an object unless its shape is known. If it's a rectangular prism, the volume can be calculated. But without further information, we cannot provide a specific area calculation.

The type of area an object will have depends on its shape. For example, the area of a rectangle is given by width times height (w * h). Similarly, the volume of a rectangular prism would be length times width times height (l * w * h). However, the given dimensions in the question (y = 11 inches, z = 14 inches, h = 7 inches, and w = 3 inches) are not enough to determine the shape of the object. We need additional information on how these dimensions are related to the shape of the object before we can calculate the area.

If for instance, this object is a rectangular prism, then we could calculate its volume. That volume would be y (depth) * z (width) * h (height). In this case with the provided values, the volume would be 11 inches * 14 inches * 7 inches = 1078 cubic inches.

Without more information on the object’s shape, we can’t make assumptions and provide a definitive calculation of the area.

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Answer:

a + b = 16 or -16.

Step-by-step explanation:

a - b =  4

ab = 60  so a = 60/b

Substituting for a in the first equation:

60/b - b = 4

60 - b^2 = 4b

b^2 + 4b - 60 = 0

(b + 10)b - 6) = 0

b = 6, -10.

Therefore, from the first equation:

When b = -10 . a + 10 =4 giving a = -6 or

When b = 6, a -  6 = 4 giving a = 10.

So  when a = -6, b = -10  and

when a = 10, b = 6.

So a + b is either 16 or -16.

Answer:

w ≤ 13

Step-by-step explanation:

-2(w-4) ≥ -18

Divide both sides by -2:

w-4 ≤ -18/-2

Don't forget to turn the inequality around, because we divided by a negative number!! We had greater than, now we have less than.

w-4 ≤ 9

Add 4 to both sides:

w ≤ 13

Answer:

B

Step-by-step explanation:

If you set x to hours and y to the amount of miles, you can multiply the hours to the numbers and equal out your miles. So, if 8 hours is multiplied to 50, it equals out the 400 miles.

Answer:

The sum of the interior angles of this polygon is (180°)(9 - 2) = 7(180°) = 1,260°.

Answer:

$242

Step-by-step explanation:

You will need to use the compound interest formula for this.

[tex]P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

Your equation will look like this:

[tex]150(1+\frac{.049}{1} )^{10}[/tex] = $242

Your answer is: $242

Answer:

4 2/3

Step-by-step explanation:

(m-4) (3m-2)=0

Use the zero product property to find the zeros

m-4 = 0             3m-2 =0

m =4                    3m =2

                              m = 2/3

We want the sum of the zero's

4+ 2/3

4 2/3

From the quadratic equation (m-4) (3m-2)=0, we find the zeros of this equation are m=4 and m=2/3. The sum of the zeros is 4 + 2/3 = 4 2/3 or 14/3.

The subject of the question is related to the zeros of a quadratic equation. A zero of a function is also referred to as a root or solution of the equation, which is the value of m that makes the function equal to zero. This equation has the form of (m-4) (3m-2)=0. It has two zeros: m=4 from (m-4)=0 and m=2/3 from (3m-2)=0.  

Since the question asks for the sum of the zeros, we need to add these two solutions together: 4 + 2/3 = 4 2/3 or 14/3, which is our final answer.

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Answer to your question is:

B. 4

Explanation:

2 + 5 + 4 + 1 + 8 = 20

20 ÷ 5 = 4

The mean is found out by adding the scores given and dividing the total by the number of scores.

In the given question the mean of the scores is 4.

The mean is calculated to get an average about something that is given.

Here

n= number of scores= 5

Sum of scores = ∑x= 2+5+4+1+8= 20

Mean = x bar=  ∑x/n= 20/5= 4

For different distributions mean may or may not be the middle value.

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Answer:

B. About 50% of the days in January had average temperatures between 66 and 75 degrees.

The box ranges from 66 to 75... meaning that most of the days were in those temperatures.

The lines mean that there were only a few days that were in those temperatures.

You're welcome if I'm correct.

The correct answer is about 50% of the days in January had average temperatures between 66 and 75 degrees.

A Box and Whisker Plot (also known as a Box Plot) is a visual representation of data distribution through quartiles.

In the graph given in the question we can clearly see that the interquartile range of the data is lying between the temperatures 66° to 75°, which means that 50% of days in January had the temperature between 66 to 75 degrees.

Hence, Option(c) is correct for the given question.

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