Two trains leave stations 504 miles apart at the same time and travel toward each other. One train travels 95 at miles per hour while the other travels at 85 miles per hour. How long will it take for the two trains to meet? Do not do any rounding.

Answer: compliment = (90-c)

supplementary = (180-c)

Step-by-step explanation:

Answer:

[tex]\textsf{1.} \quad f(x)+g(x) =8x^2+2x+3[/tex]

[tex]\textsf{2.} \quad f(x)-g(x)=-2x+1[/tex]

[tex]\textsf{3.} \quad h(x)+g(x)= 4x^2-x+5[/tex]

[tex]\textsf{4.} \quad h(x)-f(x)= -4x^2-3x+2[/tex]

[tex]\textsf{5.} \quad g(2)+f(x)= 4x^2+23[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=4x^2+2\\g(x)=4x^2+2x+1\\h(x)=-3x+4\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

Question 1

Add function f(x) and function g(x) together:

[tex]\begin{aligned} \implies f(x)+g(x) & = (4x^2+2)+(4x^2+2x+1)\\& = 4x^2+2+4x^2+2x+1\\& = 4x^2+4x^2+2x+2+1\\& =8x^2+2x+3\end{aligned}[/tex]

Question 2

Subtract function g(x) from function f(x):

[tex]\begin{aligned} \implies f(x)-g(x) & = (4x^2+2)-(4x^2+2x+1)\\& = 4x^2+2-4x^2-2x-1\\& = 4x^2-4x^2-2x+2-1\\& =-2x+1\end{aligned}[/tex]

Question 3

Add function h(x) and function g(x) together:

[tex]\begin{aligned} \implies h(x)+g(x) & = (-3x+4)+(4x^2+2x+1)\\& = -3x+4+4x^2+2x+1\\& = 4x^2-3x+2x+4+1\\& = 4x^2-x+5\end{aligned}[/tex]

Question 4

Subtract function f(x) from function h(x):

[tex]\begin{aligned} \implies h(x)-f(x) & = (-3x+4)-(4x^2+2)\\ & = -3x+4-4x^2-2\\ & = -4x^2-3x+4-2\\ & = -4x^2-3x+2\end{aligned}[/tex]

Question 5

Add function g(x) when x = 2 to function f(x):

[tex]\begin{aligned} \implies g(2)+f(x) & = \left(4(2)^2+2(2)+1\right)+(4x^2+2)\\& = 4(4)+2(2)+1+4x^2+2\\& = 16+4+1+4x^2+2\\& = 4x^2+16+4+1+2\\& = 4x^2+23\end{aligned}[/tex]

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After the solution, the answer to the given fraction [tex]-3\frac{5}{6} *4\frac{1}{2}[/tex] is 9.75.

So, [tex]-3\frac{5}{6} *4\frac{1}{2}[/tex]:

Therefore, the solution of the given fraction is 9.75.

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Based on the given parameters, the quotient of 21.64 and 0.4 is 54.1

The quotient of numbers involves dividing a number by another i.e. the division problem

A division problem is an expression or an equation that involves the quotients of numbers or polynomials i.e. the quotient of two numbers

The numbers in the question are given as

21.64 and 0.4

The above numbers are decimal numbers, and the quotients can be calculated using a calculator

Express the above numbers as quotient of two numbers

So, we have

21.64/0.4

Next, we solve the above expression using a calculator

Using a calculator, we have the following equation

21.64/0.4 = 54.1

The above means that the quotient of 21.64 and 0.4 is 54.1

Hence, the required quotient of 21.64 and 0.4 is 54.1

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Answer:

0.0015232292460015

I think you mean 2,626/4

Then it is  656.5

Step-by-step explanation:

What you wrote is probably not what you wanted the bottom is

Answer:

656 remainder of 2

Step-by-step explanation:

Step-by-step explanation:

Answer:

x = 19

z = 64

Step-by-step explanation:

Angles (11x - 93)° and 116° are vertical angles, so their measures are equal.

11x - 93 = 116

11x = 209

x = 19

Angles z° and 116° are a linear pair, so they are supplementary, and their measures have a sum of 180°

z + 116 = 180

z = 64

Answer:

So from the general equation of line passing through two points is (y-y')=m(x-x') Where m is slope of the line and (x'y') be any any point out of these given two points. So, from the formula of slope m m (Y2 - Y1)/(x2-x1) So, m = 2-(-4)/(−2 − 1) m=-2 So equation of line will be (y-2)=-2(x+2) y-2=-2x-4 2x+y+2=0

Answer:

Step-by-step explanation:

(8 + 1)/(4 + 2)= 9/6 = 3/2

y + 1 = 3/2(x + 2)

y + 1 = 3/2x + 3

y = 3/2x + 2

Answer:

s = 4 m

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length )

given A = 16 m² , then

s² = 16 ( take square root of both sides )

s = [tex]\sqrt{16}[/tex] = 4 m

Answer:

4m

Step-by-step explanation:

All the sides of a square are equal lengths. So 2 numbers that are the same must equal 16m^2.

A number times itself is known as a square number. The value of this square number is 16 m².

It can be shown like this:

a²= 16 m² or a×a = 16 m²

The reverse of squaring numbers is square root. To find the value of one side you can do √16. √16 = 4. We can check this by substituting (replacing) 4 in the place of 'a' to see if the answer is 16.

a×a = 16 m²

4 × 4 = 16

Therefore, the length of one side of the square equals to 4m.

Answer:

44

Step-by-step explanation:

4 * 2 + 3 * 4 = 44

Answer: the answer is 20

m2 + 3m when m =4

4x2=8

3x4=12

8+12=20

The largest number of dress length that could be cut is 66.

The dressmaker measures a length of fabric as 600 meters correct to the nearest 5 meters.

He cuts this into dress lengths of 9cm correct to the nearest meters.

The largest number of complete dress length he could cut can be calculated as follows:

largest number of dress length cut = 600 / 9

largest number of dress length cut = 66.6666666667

largest number of dress length cut ≈ 66

Therefore, the largest number of dress length that could be cut is 66.  

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Answer:

A

Step-by-step explanation:

A i tunk

Answer:

9

Step-by-step explanation:

6x+15=27

6x=27-15

6x=12

x=2

2x+5=(2)(2)+5

= 4+5

= 9

Approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.

According to the given question.

Total number of students in the class is 285.

And 58.6 percent of the total students are men.

As we know that, a relative value indicating hundredth parts of any quantity is called a percent.

Therefore,

the total number of men in the class

= 58.6 percent of 285

= (58.6/100) × 285

= 0.586 × 285

= 167.01

Hence, approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.

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It will take 27 minutes for all the kids to have gone home

The given parameters are:

9 kids every 3 minutes

This can be represented as

9 kids = 3 minutes

Let the time spent by 81 kids be x

So, we have the following equation

81 kids = x

Rewrite the parameters as

9 kids = 3 minutes

81 kids = x

Cross multiply in the above equation

So, we have:

9 * x = 3* 81

Divide both sides by 9

x = 3 * 9

Evaluate

x = 27

Hence, it will take 27 minutes for all the kids to have gone home

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Answer: C. 45°

Step-by-step explanation:

             These two given angles are corresponding angles. Corresponding angles are always equal to each other. In other words, they are congruent.

                                 x° = 45°

(A) The distribution consists of two clusters and a gap, which best describes the distribution.

So, in the given situation the distribution consists of two clusters and a gap, which best describes the distribution.

Therefore, (A) the distribution consists of two clusters and a gap, which best describes the distribution.

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The complete question is given below:

The diameter, in centimeters (cm), of each tree in a random sample of trees in a forest was measured. The histogram shown summarizes the diameters.

Which of the following is the best description of the distribution?

A. The distribution consists of two clusters and a gap.

B. The distribution is approximately normal.

C. The distribution is symmetric with a skew to the right.

D. The distribution is skewed to the left.

E. The distribution is uniform.

The greatest number of medium squares that Talia can cut from this​ piece is 17. 89 centimeters

From the information given, we have that;

The area of the square piece is 320 square centimeters.

It is important to note that the formula for area of a square is expressed as;

Area = a ²

Where a is the length of it's side

Let's substitute the value of the area in the formula

320 = a²

Take the square root of both sides

a = √320

a = 17. 89 centimeters

Thus, the greatest number of medium squares that Talia can cut from this​ piece is 17. 89 centimeters

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Answer: wheres the answer choices

Step-by-step explanation: good for roderick

Answer:

No Solution

Step-by-step explanation:

13+6h= -11+6h

Bring 6h over to the left side of the equation and subtract it from the other 6h. You have to subtract because it's a positive number, and you must do the opposite operation.

6 - 6 = 0, so there are no solutions. Once h is proven to be 0, you can't do anything else.

Hopefully this helps!

Answer:

The result of decimal expansion of  [tex]8/15[/tex] is [tex]0.533[/tex].

Step-by-step explanation:

Hence the decimal expansion by simple division of [tex]8/15[/tex] is [tex]0.533[/tex].

Zoe travels 380 yards on foot from her home to the bus station. The distance between Zoe's home and the bus stop fluctuates from 250 yards to 410 yards when her distance from her home rises from 50 yards to 210 yards.

Distance is the measurement of the separation between two points. Since distance is a scalar quantity, it solely cares about its measurement or amount. Distance is measured and often stated in terms of meters in SI units (m).

Given,

zoe walks from her house to a bus stop that is 460 yards

and zoe's distance from her house increases from 50 yards to 210 yards,

So,

d1 = 460 yards - 50 yards

= 410 yards

d2 = 460 yards - 210 yards

= 250 yards

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Your original investment in a start-up company was $4200

Let you invested x dollars in a start-up company.

Now your investment has gained 60% and is worth $6,720.

We write above statement as a mathematical expression.

From given information, x + (60 percent of x) = 6720

So we get an equation,

x + (0.6 x) = 6720

We solve above equation for x.

1.6 x = 6720

x = 6720 / 1.6

x = 4200 dollars

This means, initially you invested $4,200

Therefore, your original investment in a start-up company was $4200

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The expression 3g in the numerator represent the total amount of money paid for the gallons of gas.

Given expression:3g / 4

where,

Therefore, the expression 3g in the numerator represent the total amount of money paid for the gallons of gas.

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Answer:

He bought 3.8 pounds of streaks for 31.35$

Answer for steak cost per pound = 8.25$

Step-by-step explanation:

You have to divide 31.35 from 3.8.

31.35 ÷ 3.8

= 8.25

8.25 is how much the steak cost per pound.

If you multiply 8.25 x 3.8

It equals = 31.35.

Answer:

$8.25 per pound.  See attached image.

Step-by-step explanation:

How to Do Long Division with Decimals

If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've moved it to. Then move the decimal point in the number you're dividing the same number of places to the right.

Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar.

Divide until the remainder is zero, or until you have enough decimal places in your answer. You can also stop if the remainder repeats because this indicates that your answer is a repeating decimal.

Answer:

20

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

m

Step-by-step explanation:

Answer:

I think that's the answer heh

Step-by-step explanation:

–3 [(8a−6a² + 9)+ (−10a−8+8a²)]

=−3−[8a−6a² + 9+ −10a− 8 + 8a²]

=−3−[(8a − 10a) + (−6a² + 8a² ) + (9 − 8)]

=−3−[−2a + 2a² +1]

=−3 + 2a − 2a² −1

= +2a − 2a² −4

=−2a² + 2a −4

Answer: 830

Step-by-step explanation:

Answer:

The nearest whole number is 830

Step-by-step explanation:

For the given line segment, the value of variable d is 2 units and the value of YZ is 16 units.

Given that, Y is between X and Z.

We need to find the value of the variable and YZ.

A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.

Given that, XY=11d, YZ=9d-2, XZ=5d+28

Here, the line segment XZ is sum of XY and YZ

That is, XZ=XY+YZ (∵Y is between X and Z)

⇒5d+28=11d+9d-2

⇒5d+28=20d-2 (Add like terms that is 11d+9d=20d)

⇒20d-5d=28+2

⇒15d=30

⇒d=2

So, YZ=9d-2

=9×2-2=18-2

=16

Therefore, the value of variable d is 2 units and the value of YZ is 16 units.

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