Ryan runs 100 m two times. His times were 14.19 s and 13.78 s.

Daniel runs 100 m two times. His times were 15.77 s and 16.24 s.

How much greater was Daniel's total time than Ryan's total time?

Enter your answer in the box.

Answer:

6

Step-by-step explanation:

a pex

The answer is 199.198.

Answer: x = {199.28959,  0.00000278768}

Step by step explanation:

0.00216140848x² - 0.43046552x + 0.0000012=0

[tex]x = \frac{-b +/- \sqrt{b^{2}- 4ac} }{2a}[/tex]

[tex]x = \frac{-(-0.43046552) +/- \sqrt{-0.43046552^{2}- 4(0.00216140848)(0.0000012)} }{2(0.00216140848)}[/tex]

You can do each step manually or use a quadratic calculator to do the calculations.

x = 199.28959, x = 0.00000278768

Let's have the first number be x, the second number y, and the third number z.

Because the second number is six more than the first, y = x + 6.

Because the third number is twice the first, z = 2x.

The three numbers added together equals 26, so 26 = x + y + z.

Let's substitute y = x + 6 and z = 2x into 26 = x + y + z.  This gives us:

26 = x + x + 6 + 2x

26 = 4x + 6

We subtract 6 from both sides of the equation and divide by 4 to get:

5 = x

Now, we'll put x = 5 into our previous to equations to find y and z:

y = 5 + 6

y = 11

z = 2*5

z = 10

Let's check out answer.  10 + 11 + 5 = 26.  10 is twice of 5 and 11 is 6 more than 5.  Thus our three numbers are 10, 11, and 5.

The three numbers are 5, 11 (5 + 6), and 10 (2 * 5)

Let's call the first number x

The second number is 6 more than the first, so it is x + 6

The third number is twice the first, so it is 2x

The sum of the three numbers is 26, so we have the equation x + (x + 6) + 2x = 26

Combining like terms, we get 4x + 6 = 26

Subtracting 6 from both sides, we get 4x = 20

Dividing both sides by 4, we get x = 5

So the three numbers are 5, 11 (5 + 6), and 10 (2 * 5)

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Whenever you want to write the equation of a parallel line through some point (h, k), you can ...

Using this formula here, we get

... 2(y +5) = 3(x -2)

Your answer form requires you solve this for y.

... 2y + 10 = 3x -6 . . . . . eliminate parentheses

... 2y = 3x -16 . . . . . . . . subtract the constant on the left (10)

... y = (3/2)x -8 . . . . . . divide by 2

53√2

using the ' law of radicals '

√a × √b = √ab

simplifying the radicals

√200 = √( 100 × 2 ) = √100 × √2 = 10√2

√162 = √( 81 × 2 ) = √81 × √2 = 9√2

8(10√2 - 3(9√2) = 80√2 - 27√2 = 53√2

Hello!

Answer:⇒15√6 i

Step-by-step explanation:

√-54=3√6 i

5*3√6 i

Multiply the numbers.

5*3=15

=15√6 i

Hope this helps!

Thank you for posting your question at here on brainly.

-Charlie

[tex]i=\sqrt{-1}[/tex]

[tex]5\sqrt{-54}=5\sqrt{9(-6)}=5\cdot\sqrt9\cdot\sqrt{-6}=5(3)\sqrt{(6)(-1)}\\\\=15\cdot\sqrt6\cdot\sqrt{-1}=15\cdot\sqrt6\cdot i=15i\sqrt6[/tex]

50.94339623 percent boiii

Answer:

50.9%

Step-by-step explanation:

We are asked to find 27 pounds of recyclable trash is what percentage of the barrel of 53 pounds of trash.

We need to find 27 is what percent of 53. We can represent this information in an equation as:]

[tex]\frac{27}{53}\times 100[/tex]

[tex]0.5094339\times 100[/tex]

[tex]50.94339\%\approx 50.9\%[/tex]

Therefore, 27 pounds of recyclable trash is 50.9% of the barrel of 53 pounds of trash.

Answer:

B

Step-by-step explanation:

The solution of the system of equations and inequalities, indicates that the solution are;

In order to find the solution of the system of equations by graphing, the lines are graphed on the same coordinate plane and the point at which the two graphs intersect is the solution of the system of equations.

1) y = (1/4)·x - 4, y = (-1/2)·x - 1,

The x-coordinates at the point of intersection, can be found by noting that the y-values of both equations are the same

Please find attached the graph of the system of equations with the point of intersection, (4, -3), which corresponds to x = 4, and y = -3, created with MS Excel

The solution of the system of equations therefore is; x = 4, y = -3

2. 3·x - 2·y = 8

x - 2·y = 4

Making y the subject of both equations, we get;

y = (3/2)·x - 4

y = (1/2)·x - 2

The graph of the above two equations can be plotted on the same coordinate plane using MS Excel, is attached

The point of intersection of the two graphs is (1, -2.5)

The solution of the system of equations is therefore; x = 1, and y = -2.5

3) The solution of the system of inequalities is the feasible region, corresponding to the region that satisfies both inequalities;

Please find attached the graph of the inequalities, showing the positive region that satisfies both inequalities, which is the triangle with vertices, (0.51, 0), (1, 1), and (1.5, 0)

4) The inequalities can be graphed by making y the subject of both inequalities and graphing the equations on the same coordinate plane.

x + y > -2, therefore; y > -2 - x

6·x - y ≥ 3, therefore; y ≤ 6·x - 3

6·x - 3 = -2 - x

The points in the feasible region of the graph are; points below and on the line, y = 6·x - 3, above the line y = -2 - x, and to the right of the point (1/7, -2 1/7)

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Answer:

Step-by-step explanation:

Given that Henry  deposited $420 into a savings account. There is a $5.00 per month service fee on the account. Also, Henry decides he wants to withdraw $25 a week for spending money.

Let us convert everything into days.

30 days a month and 7 days in a week

Service charges for 30 days = 5

withdrawn amount for 7 days = 25

Let x be the total no of days

Then [tex]\frac{25x}{7} +\frac{5x}{30}= 420\\\\750x+35x=420(7)(30)\\785x=420(7)(30)\\x=112.3567[/tex]

i.e. between 3 and 4 months

We can say in 3 months this will be exhausted.

Option A

First, turn the two fractions into decimals : 7/9 = .77777 7/8 = .875

Now, all of the numbers are in common form so you can identify which is largest, etc. : .875, .77777, .7

Now put the values back to fractions : 7/8, 7/9, .7

Answer:

2.88095238095

Step-by-step explanation:

The formula for area of this shape is (a+b)/2 * h

a = 8

b= 12

h = 6

Area = (8+12)/2 * 6

Area = 20/2 * 6

Area = 10 * 6

Area = 60 sq. m.

The first option is the right answer

Range are the y-values. Plug the x-values into the equation and solve for y.

f(x) = 3x - 2

f(-1) = 3(-1) - 2

     =   -3  - 2

     = -5

f(0) = 3(0) - 2

     =   0  - 2

      = -2

R: -5 ≤ y < -2   ⇒   [-5, -2)

********************************

f(x) = 2x + 3

f(0) = 2(0) + 3

     =   0  + 3

     =    3

f(5) = 2(5) + 3

      =  10 + 3

      =  13

R: 3 ≤ y < 13    ⇒  [3, 13)

Now, put them together:  [-5, -2) U [3, 13)

Answer: A

When the 12 numbers are listed in order, they are ...

... 13, 15, 18, 20, 23, 23, 27, 29, 30, 32, 36, 38

The extreme values are 13 and 38. Only the third plot has the ends of the whiskers on these values.

Since there are an even number of numbers, the median is the average of the middle two: (23 +27)/2 = 25. Only the third plot shows the median at 25.

Since each half of the data set has an even number of numbers, the 1st and 3rd quartile values are the averages of the middle two numbers in each half:

The third plot has the ends of the box in these places, confirming it is the correct choice.

The appropriate choice is the third one.

"The correct answer is that diagrams showing how matter moves through organisms and the environment are called cycles because they depict continuous, circular pathways.

In ecosystems, matter is not created or destroyed but is continuously recycled. This recycling process occurs in a loop or cycle, where matter moves from the environment to organisms and then back to the environment. For example, in the carbon cycle, carbon dioxide is taken in by plants during photosynthesis, then passed on to animals that consume the plants, and eventually returned to the environment through processes like respiration and decomposition.

These cycles are essential for the sustainability of ecosystems because they ensure that nutrients and other materials are reused and not depleted. The term ""cycle"" reflects the repeating and ongoing nature of these processes, highlighting the interconnectedness and interdependence of organisms and their environment. By using diagrams to represent these cycles, we can visualize and better understand the complex interactions and pathways that matter follows in ecosystems."

To find the y value in this line, we can simply plug 2 into the variable x and solve.

2(2) + 5

4 + 5 = 9

The y value for x 2, is 9.

This can be displayed as (2, 9).

Using the slope intercept relation, the missing y value in the points given is 9.

Given the slope intercept equation :

Substituting the value of x into the equation and solving for y :

y = 2(2) + 5

y = 4 + 5

y = 9

Therefore, the value of y which is missing is 9 ; the point is( 2, 9)

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Standard form of non-polynomials is purely to solve them.

10^4 = 10,000

2.1 * 10,000 = 21,000

i bleieve the answer is 1796

Out of 4041 students in a school where 5/9 are girls, the number of boys in the school will be 1796.

In this mathematics problem, we are looking to find the number of boys in a school where we know the total number of students (4041) and the proportion that are girls (5/9). To start, you can determine the number of girls in the school by multiplying the total number of students by the proportion of students that are girls (4041 * 5/9 = 2245). Taking this number of girls away from the total number of students gives us the number of boys: 4041 - 2245 = 1796. So, out of 4041 students, 1796 of them are boys.

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Answer:

It's true that  [tex]JK \cong MN[/tex]

Step-by-step explanation:

If the lengths of two line segments are equal, then they are said to be congruent to each other.

[tex]JK[/tex] has endpoints as [tex]J(-1, 10)[/tex], [tex]K(-5,2)[/tex] and [tex]MN[/tex] has endpoints as [tex]M(9,-7), N(1,-3)[/tex]

Formula for finding the length of line segment: [tex]\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2}[/tex] , where [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] are two endpoints.

So, the length of [tex]JK = \sqrt{(-1-(-5))^2+(10-2)^2}= \sqrt{(4)^2+(8)^2}= \sqrt{16+64}= \sqrt{80}[/tex]

and the length of [tex]MN=\sqrt{(9-1)^2+(-7-(-3))^2}= \sqrt{(8)^2+(-4)^2}= \sqrt{64+16}= \sqrt{80}[/tex]

As, the lengths of [tex]JK[/tex] and [tex]MN[/tex] are equal, so we can say that, [tex]JK[/tex] is congruent to [tex]MN[/tex].

To determine if JK is congruent to MN, use the distance formula to find the lengths of the line segments. If the lengths are equal, then the segments are congruent.

To determine if JK is congruent to MN, we need to compare the lengths of these line segments. The formula for finding the length of a line segment with endpoints (x1, y1) and (x2, y2) is the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Since the lengths of JK and MN are equal (sqrt(80) = sqrt(80)), we can conclude that JK is congruent to MN.

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Answer:

B

Step-by-step explanation:

You have 2x^2 + 9x -9 and 3x^2 -2x +14

To find total area add the two polynomials together by combining the like terms.

2x^2 + 3x^2 = 5x^2

9x + -2x = 9x-2x = 7x

-9 + 14 = 5

Total area = 5x^2 + 7x + 5

Keep the bases of 6 and add exponents: [tex]6^{16}[/tex]

Keep the bases of 11 and add exponents: [tex]11^{26}[/tex]

So its C.

hope that helps :)

The multiplicative inverse of 6 1/8 (49/8) is

8/49

The multiplicative inverse of 6 1/8 is 49/8

Equation: You have to multiple the whole number by the denominator and add that to the numerator.

Hope this helps!

-John

Rounded to the nearest thousand is 47,000 because the number to the right of it is not 5 or up, so this is the answer.

hope that helps :)

If the street is already 24 m wide, and it is being expanded by 125%, then the correct answer is C. 30 m!

125% simply means 1 1/4.     1/4 of 24 is 6.    So, you have 24 + 6 = 30!

Answer:

The correct answer is C: the new street should be 30m wide.

Step-by-step explanation:

This is a simple problem of per-cents. Perhaps the easiest way to do it is to use a basic ‘‘rule of three’’. In this particular case the 100% is the width of the old street, i.e. 24 m; and we want to know the new width, that is 125% of the old street. So,

                   24 ---- 100%

                    x  ----- 125%

To find x we use the formula

[tex]x = \frac{24*125}{100} = 3000/100=30[/tex]

So, the width of the new street is 30m.

The answer might be c

4/75 = x/60

75x = 240

divide each side by 75

x = 3.2

Davids jogging rph/rate per hour would most likely be 3.5 /3.7