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It will take 2 hours 24 minutes time to two trains to meet.

Let a train starts from A towards to B with velocity v1 = 90 miles/hour

and another train starts it's journey from B towars A with velocity               v2 = 110 miles/hour

Let after  time t hour they meet at C.

Hence, we get  AC + CB = AB

                    ⇒  v1t + v2t = 480

                    ⇒ (v1 + v2) t = 480

                    ⇒ (90 + 110) t = 480

                    ⇒ t = 480/200 = 48/20 = 12/5 hours

                     ∴ t = [tex]2\frac{2}{5}[/tex] hours

                          = 2 hour (2/5 × 60) mins

                    ∴ t  = 2 hours 24 minutes time

So, after 2 hours 24 minutes time they meet each otherv at C, where                 AC = v1t  = 90 × 12/5 = 216 miles.

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Answer:

There are no values of x

that make the equation true.

No solution

Step-by-step explanation:

Future value in four years is $1060.30 and Interest gained in four years is 560.30.

Compound interest is interest that builds up over a set length of time on both principal and interest. The principal is also used to account for the interest that has accrued on a principal over time. Furthermore, the accumulated principal value is used to calculate interest for the subsequent time period. The new way of calculating interest now utilized in all international financial and commercial operations is known as compound interest. When we look at the compound interest values that have built over successive time periods, the power of compounding is clearly apparent.

Given

You decide to invest $500 into a 4-year CD that pays 2.85% interest compounded monthly

Compound interest

A = P( 1+ r/n)^nt

Interest gained in 4 years

A = 500( 1+ 0.0285/12)^(12)(4)

A = 500( 1 + 0.002375) ^48

A = 560.30

Future value in 4 years = $500 + $560.30

Future value in 4 years = $1060.30

Future value in four years is $1060.30 and Interest gained in four years is 560.30.

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Answer: To find the tip amount in dollars for each order, you need to multiply the total bill amount by the tip percentage.

For the first order of 4 dishes, the total bill amount is $8 per dish * 4 dishes = $<<8*4=32>>32.

The tip amount is $32 * 20% = $6.40.

For the second order of 6 dishes, the total bill amount is $8 per dish * 6 dishes = $<<8*6=48>>48.

The tip amount is $48 * 14% = $6.72.

For the third order of 7 dishes, the total bill amount is $8 per dish * 7 dishes = $<<8*7=56>>56.

The tip amount is $56 * 11% = $6.16.

So, the tip amounts from least to greatest are $6.16, $6.40, and $6.72.

Answer:

1.54 : 1

Step-by-step explanation:

See photo attached. Hope this helps

The equivalent ratio of yellow cars to purple cars in the form n:1 is 1.54:1.

A ratio is a mathematical comparison between two or more quantities or values. It expresses the relative sizes or amounts of different quantities and is typically represented in the form of a fraction or a colon (:).

The greatest common divisor (GCD) of 97 and 63 is 1, which means they have no common factors other than 1.

Therefore, we can write the ratio of yellow cars to purple cars as: 97:63

Since we need to write it in the form of n:1, we can divide both sides of the ratio by 63 (the smaller number in the ratio):

= 97/63 : 63/63

= 97/63 : 1

= 1.54 : 1

So, the equivalent ratio of yellow cars to purple cars in the form n:1 is 1.54:1.

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If a boundary line is dashed, The ordered pairs are never part of the solutions of the inequality

Inequality, is a mathematical statement expressing an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

Solid line and dashed line in inequality

A region on one side of a line can be used to graphically show an inequality.

For the purpose of indicating that a line is not a part of the region, inequality plots that employ the < or > symbols have a dashed line.

Plotting a solid line indicates that an inequality that uses the symbol  ≤ or ≥ is included in the region.

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[tex]{ \red{\boxed{ \tt{Step-by-step-explaination}}}}[/tex]

Perimeter of a rectangle : [tex]{ \purple{ \tt{2(l+b)}}}[/tex]

length = [tex]{ \red{ \tt{17cm}}}[/tex]

breadth= [tex]{ \red{ \tt{?}}}[/tex]

now,

according to the rule.

perimeter = 2(l+b)

66 = 2(17+b)

66 = 34 + 2b

66 - 34 = 2b

32 = 2b

32/2 = b

16 cm = b

hence b = [tex]{ \pink{ \sf{16cm}}}[/tex]

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{1}}} \implies \cfrac{8 +6}{-3} \implies \cfrac{ 14 }{ -3 } \implies - \cfrac{14 }{ 3 }[/tex]

Answer:

11 days

Step-by-step explanation:

y=24x+61

y=20x+105

(don't think I can solve this with elimination because there is no coefficient with a y-value.)

When looking for the interception you look for the point where both lines intercept. I graphed both equations online and looked for the point where they intercept, which is (11,325) meaning that in 11 days, both places will cost 325 dollars when you rent a car.

( I also looked for a calculator online that is especially used to find the interception between two points and it gave the same point, if wrong...I'm sorry)

Answer:

Step-by-step explanation:

12 + 3t

The correlation values for the perfect linear relationship is option (b) 1 and (d) -1.

Correlation:

Correlation refers the measure that determines the degree to which the movement of two different variables is associated.

Given,

Here we need to find the perfect correlation values that represent the perfect linear relationship between x and y.

Here we know that the perfect linear relationship is indicated by a correlation with a magnitude of 1.

Then the sign of the correlation coefficient is the sign of the slope of the line describing the relationship. And it may be positive or negative.

Therefore, the value -1 and 1 are the perfect values for this one.

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The coordinates of A' and C' will not be the same. The perimeter and area of ΔA'B'C' will be the same. The measure of ∠B' and the slope of A'C' will be the same.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given translation,

2 units down and 3 units right

The coordinate will change as,(x,y) → (x+3,y-2) so it will change.

The transformation consists only of linear transformation no rotation exists thus area and perimeter will remain the same.

The slope and angle are unchanged irrespective of any transformation.

Hence "A' and C' will not have the same coordinates. The boundaries and surface area of ΔA'B'C' will be identical. The slope of A'C' and the measure of ∠B will be equal.".

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The age of Nachelle would be 5 years and the age of Julian would be 7 years.

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Let's suppose the age of Nachelle is 'x' years then Julian's age would be 'x+2'.

              x² + [2(x + 2)]² = 139

             x² + 4x² + 8x + 16 = 139

             5x² + 8x - 123 = 0

Simplifying this, we get

       x = 4.22 and x = -5.82

Age cannot be a negative number so

         x ≈ 5.

x + 2 = 7 years

Hence the age of Nachelle would be 5 years and the age of Julian would be 7 years.

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Answer: The Seasonal? brainleist if im right

Step-by-step explanation:

The solution to an inequality is given in set-builder notation as {x l x > two-thirds}.

option c. (two-thirds, [infinity]) is the correct option

The set-builder notation can also be used to express sets using an interval or an equation. It is common practise for sets with an unlimited number of elements to write and represent their elements in this way. This makes use of a variable (or several) that fit under the group of typical numerical kinds, such as integers, real numbers, and natural numbers.

The roster notation is a convenient way to express sets mathematically. Within the curly braces of the roster form, the elements (or members) of a set are listed in a row. In a roster notation, a comma is used to indicate the separation of every two elements when the set contains more than one element.

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Answer:

Step-by-step explanation: You have 14 and 5 are yellow so 5/14.

Answer:

.........................................

Step-by-step explanation:

.............................................................................................................................................................................................

If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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Answer:

Step-by-step explanation:

(1, 2), (3, 10)

(10 - 2)/(3 - 1) = 8/2 = 4

m = 4

A Formula for the Surface area of the cube is 6a².

A cube is a three-dimensional solid with six square faces, facets, or sides, three of which meet at each vertex in geometry. It looks like a hexagon from the corner, and its net usually looks like a cross. One of the five Platonic solids, the cube is the only regular hexahedron.

The sum of the areas on each face of the cube that covers it is the cube's surface area. The formula for surface area is six times the cube's length divided by the square of that number. It is denoted by 6a², where a is the cube's side length. It basically refers to the entire surface area.

area of one face = a²    [By area of square formula]

There are six faces altogether. Therefore,

TSA (total surface area) of cube = S = a² + a²+ a² + a² + a² +a²

S = 6a²

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(complete question)

The surface area of a three-dimensional object is the sum of the area of the faces. If a represent the length of the side of a cube, write a formula for the surface area S of the cube.

An effective claim in the essay is that; Chickens raised for-eggs should be allowed to roam free. Option A

The entire point of an argumentative essay is that the essay helps us to be able to bee able to make a point. It is the kind of essay in which we may be able to communicate our perspective about a matter.

In the argumentative essay, there could be a claim which is the main point that the essay is trying to address. The claim would thus provide the kernel of the essay. It is the point that the author wants to pass across to the readers.

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Answer: A: Chickens raised for eggs should be allowed to roam free.

The margin of error for this confidence interval is 0.145.

Given :

a confidence interval for a proportion ranges from 0.45 to 0.74.

Confidence interval :

A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times

Margin of error :

Margin of error, also called confidence interval, tells you how much you can expect your survey results to reflect the views from the overall population.

Length of confidence interval = 0.74 - 0.45

= 0.29

we know that,

Margin of error = 1/2 * length of confidence interval.

= 1/2 * 0.29

= 0.29/2

= 0.145

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The name [tex]\overline{B}[/tex] does not represent a name of the given figure.

What is a line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.

In the figure A and B are two points on the line m.

The line can represent by the symbol [tex]\overline{BA}[/tex].

The line can represent by the name line m.

The line extended on both side of the points A and B.

The given figure can be represented by the symbol [tex]\overleftrightarrow{AB}[/tex].

But B is a point on the line. Using the point B, the line can not represent.

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Answer:

= 10

Step-by-step explanation:

p+q+2 = 3 + 5 + 2 = 10

Answer:

10

Step-by-step explanation:

3 + 5 + 2 = 10

Answer:

Hi use the sine rule: answer: 26.43

Step-by-step explanation:

A cylindrical vase with a curved surface area of 6.79 square metres will cost Rs. 8.14 to paint.

The area with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area. Curved surface area is the amount of space left over after subtracting the cylinder's total circular area. The formula for curved surface area is 2 * pi * r * h.

Here,

We have to calculate the curved surface area of glass in which the flower basket is placed.

Glass is cylindrical,

Height of cylinder = 180cm = 1.8m

Radius of cylinder = 60cm = 0.6m

The curved surface area of the cylinder = 2πrh

The curved surface area of the cylinder = 2*22/7*0.6*1.8

The curved surface area of the cylinder = 6.78584 m²

Cost of painting the glass per m² = Rs. 1.2

Cost of painting 6.78584= 6.78584*1.2

Cost of painting 6.78584= Rs. 8.143

The cost of painting an cylindrical vase of curved surface area 6.79 m² will be Rs. 8.14.

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Amount Patrick has to pay back is $ 1680 and the simple interest is $ 280.

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) 100

Given data ,

Let the principal amount be = A

The value of A = $ 1400

Let the rate of interest be = r

The value of r = 10 %

Let the number of years = T

The value of T = 2 years

Now , the simple interest is calculated by the formula

Simple Interest = ( Principal Amount x Rate x Time Period ) 100

Substituting the values in the equation , we get

Simple Interest = ( 1400 x 10 x 2 ) / 100

Simple Interest = 14 x 20

Simple Interest = $ 280

Therefore , the simple interest in 2 years is $ 280

And , the total amount Patrick has to give back to the bank is given by the formula

Amount in 2 years = Principal + Interest

Amount in 2 years = 1400 + 280

Amount in 2 years = $ 1680

Therefore , the amount in 2 years is $ 1680

Hence , Amount Patrick has to pay back is $ 1680 and the simple interest is $ 280

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By using the formula of circumference and area of circle, it can be calculated that-

Area of the rug = 379.94 sq. inches

What is area and circumference of a circle?

Area of a circle is the total space taken by the circle.

If r is the radius of the circle, then area of the circle is calculated by the formula

Area = [tex]\pi r^2[/tex]

Circumference of a circle is the length of the boundary of a circle

If r is the radius of a circle, then circumference of a circle is calculated by the formula

Circumference = 2[tex]\pi[/tex]r

Let the radius of the rug be r inches

Circumference = [tex]2 \times \pi \times r[/tex] inches

                         = 2 [tex]\times[/tex] 3.14 [tex]\times[/tex] r

                         = 6.28 r

By the problem,

6.28 r = 69.08

r = [tex]\frac{69.08}{6.28}\\[/tex]

r = 11 inches

Area of the rug = 3.14 [tex]\times[/tex] 11  [tex]\times[/tex] 11

                          = 379.94 sq. inches

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