The fastest male marathon running time is 2 hours 2 minutes 57 seconds of a marathon is 26.2 miles how long in minutes and seconds would it take the same man to run 1 mile??

Answer:

14 / .20 = x

.20 x = 14

x = 14 / .20

x = 70

DOUBLE - CHECK

20 % of 70 = .20 * 70 = 14

Step-by-step explanation:

Answer: -9x + 24

Step-by-step explanation:

To do this, we need to multiply each term by -3

So -3(3x -8) turns into

-9x + 24

That’s the answer!

Answer:

Sanchez had 179 hits, while Washington had 211 hits. Hope this helps!

Final answer:

To solve the problem, we set up two equations: W = S + 16 and W + S = 390. By substituting the first equation into the second, we found that Sanchez had 187 hits, and Washington had 203 hits.

Explanation:

The question involves determining the number of hits for each player given the total number of hits and the difference in hits between the two players. We can set up a system of equations to solve for the number of hits for each player. Let's denote the number of hits by Washington as W and the number of hits by Sanchez as S.

According to the problem, we have two relationships:

Washington had 16 more hits than Sanchez: W = S + 16

The total number of hits is 390: W + S = 390

We can substitute the first equation into the second to solve for S.

S + (S + 16) = 390
S + S = 390 - 16
2S = 374
S = 374 / 2
S = 187

Now we plug the value of S back into the first equation to solve for W:

W = 187 + 16
W = 203

Therefore, Washington had 203 hits and Sanchez had 187 hits.

Answer: v[5/7] represents the volume of air inside a rubber ball with radius 5/7 units, such that

Step-by-step explanation:

Given: The volume of air inside a rubber ball with radius r can be found using the function.

Here volume is a dependent variable on radius (independent variable).

Therefore, the value of v[5/7]  represents the volume of air inside a rubber ball with radius 5/7 units.

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Answer:

we know that

The volume of a sphere (rubber ball) is equal to

V = 4/3pi r^3

where r is the radius of the sphere (rubber ball)

The volume in function notation is equal to

V(r) = pi r^3

in this problem we have

V(5/7)

that means

The radius of the rubber ball is 5/7 ft and the volume of the rubber ball is V(5/7) ft^3

therefore, the answer is the option B

the volume of the rubber ball when the radius equals 5/7 feet

Answer:

The answer is 36

Step-by-step explanation:

we know 42 students arrived after the dance started and 78 arrived in total. You have to subtract 42 from 78. how I remember this: part+part=whole whole-part=part

Sadie’s family’s car is slightly more fuel efficient than Nanette’s family’s car.

Answer:

Sadie's car is more fuel efficient.

Step-by-step explanation:

Consider the provided information.

For comparison both quantity should be same. So convert miles per gallon into kilometers per liter.

Sadie tells her family's car is getting 42 miles per gallon.

To convert miles per gallon into liters per km use the formula:

1 miles per gallon = 0.425144 kilometers per liter

Multiply both the sides by 42.

1×42 miles per gallon = 0.425144×42 kilometers per liter

42 miles per gallon = 17.856 kilometers per liter

That means Sadie's car millage is 17.856 kilometer per liter.

Nanette tells Sadie that her family’s car uses 6 liters per 100 km.

6 Liters = 100 km

Divide both sides by 6.

1 Liters = 16.66..

That means Nanette's car millage is approximately 16.67 kilometer per liter.

Hence, Sadie's car is more fuel efficient.

Answer:

12x³ - 7x² + 11x + 14

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x² - 5x + 7) + 2(4x² - 5x + 7) ← distribute both parenthesis

= 12x³ - 15x² + 21x + 8x² - 10x + 14 ← collect like terms

= 12x³ - 7x² + 11x + 14

Answer:

all work is shown and pictured

Answer:

10

Step-by-step explanation:

If W is the present age of the woman and D is the present age of the daughter, then:

W = 4D

W + 5 = 3(D + 5)

Substituting the first equation into the second:

4D + 5 = 3(D + 5)

4D + 5 = 3D + 15

D = 10

The daughter is 10 years old.

The two expressions should be [tex]-4 \div 2 + 8 = 6\ and\ (10 \times -3) \div -5 = 6[/tex].

Given that,

Based on the above information, the calculation is as follows:

[tex]-4 \div 2 + 8 = 6\[/tex]

6 = 6

And,

[tex](10 \times -3) \div -5 = 6[/tex]

6 = 6

Therefore we can conclude that the two expressions should be [tex]-4 \div 2 + 8 = 6\ and\ (10 \times -3) \div -5 = 6[/tex].

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Two expressions using the given numbers that equal 6 are: Expression 1: 10 - 2 - (-3) + (-5) and Expression 2: 10 - 2 + 8 - (-4) - 5. The calculations are done using the order of operations (PEMDAS).

The task is to create two mathematical expressions using the numbers -4, 10, 8, 2, -3, and -5, which result in 6. We can accomplish this by utilizing basic arithmetic operations such as addition, subtraction, multiplication, or division. The important thing is making sure all operations adhere to the Order of Operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). Here are the two ways you could form expressions:

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Answer:

Step-by-step explanation:

[tex]\dfrac{x}{8}+2=6\qquad\text{subtract 2 from both sides}\\\\\dfrac{x}{8}+2-2=6-2\\\\\dfrac{x}{8}=4\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup^1\cdot\dfrac{x}{8\!\!\!\!\diagup_1}=(8)(4)\\\\x=32[/tex]

Answer:

The required solution is: [tex]x<\frac{23}{8}[/tex] or x<2.875 or [tex]\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\frac{23}{8}\right)\end{bmatrix}[/tex]

Step-by-step explanation:

Consider the provided inequity.

[tex]24x>18(4x-6)-30[/tex]

We need to solve the above inequity of x.

Open the parentheses.

[tex]24x>18\times 4x-18\times 6-30[/tex]

[tex]24x>72x-108-30[/tex]

[tex]24x>72x-138[/tex]

Subtract 72x from both sides.

[tex]24x-72x>72x-138-72x\\-48x>-138[/tex]

Multiply both sides by -1 and reverse the inequality.

[tex]\left(-48x\right)\left(-1\right)<\left(-138\right)\left(-1\right)[/tex]

[tex]48x<138[/tex]

Divide both side by 48.

[tex]x<\frac{23}{8}[/tex]

Hence, the required solution is: [tex]x<\frac{23}{8}[/tex] or x<2.875 or [tex]\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\frac{23}{8}\right)\end{bmatrix}[/tex]

Answer:  The required value of x is 11.

Step-by-step explanation:  Given that R is the midpoint of the line segment QS, where

QR=5x-7 and QS=96.

We are to find the value of x.

Since the point R is the midpoint of the segment QS, so we must have

[tex]QR=SR=\dfrac{1}{2}QR\\\\\\\Rightarrow QR=\dfrac{1}{2}QS\\\\\\\Rightarrow 5x-7==\dfrac{1}{2}\times96\\\\\Rightarrow 5x-7=48\\\\\Rightarrow 5x=48+7\\\\\Rightarrow 5x=55\\\\\Righatrrow x=\dfrac{55}{5}\\\\\Rightarrow x=11.[/tex]

Thus, the required value of x is 11.

If R is the midpoint of QS, then x = 11.

We have,

If R is the midpoint of QS, then QR is equal in length to RS.

Therefore:

QR = RS

Given that QR = 5x - 7 and QS = 96, we can set up an equation:

5x - 7 = QS/2

Now, plug in the value of QS:

5x - 7 = 96/2

5x - 7 = 48

Add 7 to both sides:

5x = 48 + 7

5x = 55

Now, divide both sides by 5 to isolate x:

x = 55 / 5

x = 11

So, the correct value of x is 11.

Thus,

If R is the midpoint of QS, then x = 11.

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The mean of the given data set, after removing the outlier, is 49.

To determine the mean of a data set, outliers (extremely high or low values) must first be identified and removed. Looking at the given data set: 42, 43, 46, 48, 57, 60, 96, 59, 38, 68, 29; the number 96 is an outlier as it is remarkably higher than the other values.

After removing the outlier, the rest of the data set becomes: 42, 43, 46, 48, 57, 60, 59, 38, 68, 29.

To find the mean (average), sum all these numbers and divide by the count of numbers. The total sum of these numbers is 490, and there are 10 numbers. Therefore, the mean is 49 (490 divided by 10).

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The mean of the data set after removing the outliers is c. 49

From the question, we have the following parameters that can be used in our computation:

The data set

Where, we have

42, 43, 46, 48, 57, 60, 96, 59, 38, 68, 29

The outlier in the data set is 96

If we remove them, we will have the following data set:

42, 43, 46, 48, 57, 60, 59, 38, 68 and 29

The mean of this data set is calculated as follows:

mean = (42 + 43 + 46 + 48 + 57 + 60 + 59 + 38 + 68 + 29) / 10 = 49

Hence, the mean without outliers is 49

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Answer:

Jaclyn did not make an error

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex](0,4)\ B(-3,0)[/tex]

Substitute the values

[tex]m=\frac{0-4}{-3-0}[/tex]

[tex]m=\frac{-4}{-3}[/tex]

[tex]m=\frac{4}{3}[/tex]

therefore

Jaclyn did not make an error

Answer:

Jaclyn did not make error

Step-by-step explanation:

Step 1: He has taken two points from the given table.

(0, 4) and (-3, 0)

Step 2: Slope formula = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step 3: Now plug in [tex]x_1 = 0, y_1 = 4, x_2 = -3 and y_2 = 0[/tex] in the above formula.

Slope = [tex]\frac{0 -4}{-3 - 0}[/tex]

Slope = [tex]\frac{-4}{-3} = \frac{4}{3}[/tex]

When we divide two negative numbers, the result will be in positive.

So, Jaclyn didn't make a single error.

Answer: c=11, m=28

Step-by-step explanation:

c= Chris's score

m= Mike's score

c+m=39                 we know from the equation that their scores

                              add up to 39, so this equation is a good starting

                              point.

c+2(c+3)=39          we also know that Mike's score is twice the sum of Chris's

                              score and 3 so we can substitute that in for his score.

                              now we can solve.

c+2c+6=39             distribute

3c+6=39                 combine like terms

   -6  -6                  

3c=33                     addition property of equality

÷3  ÷3          

c=11                         multiplication property of equality

Now that we know Chris's score, we simply substitute that number in in our simple equation for earlier to find Mike's score.

11+m=39                  substituted in 11 for c

-11     -11                  

m=28                       addition property of equality

There you go! Don't worry, I had a lot of trouble with these types of problems too. That's why I'm so good at them now Hope this helps!

#3 is 40 degrees Clockwise.

Hello!

I do believe you meant to say:

"What is the difference between a ray and a line segment?"

The difference between a ray and a line segment is:

A ray has one endpoint and continues in one direction. a ray is infinite

A line segment has two endpoints. a line segment is finite

I hope this helps, and have a nice day!

Answer:

adout 53 Years old

Step-by-step explanation:

2. = 6=12=32. 32/2= 16

5.3=16=32= 16/3=5.333...

5.3x10=S3.3

so adout 53 Years old

Based on the tree's current growth rate of 2.67 rings per inch, if it continued to grow at the same rate, a maple tree with a diameter of 20 inches would have around 53 rings.

The tree's growth can be understood as the relation between its diameter and the number of its concentric rings. In this case, we know that a maple tree with a diameter of 12 inches has 32 rings. This means that the tree grows approximately 2.67 rings per inch (32 rings / 12 inches = 2.67 rings per inch). So, assuming the tree continues to grow at the same rate, when the tree's diameter is 20 inches, it should have around 53 rings (20 inches * 2.67 rings per inch =~ 53 rings).

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Answer:

The Correct Answer is C. 5pie/6

Step-by-step explanation:

Plato answer

The value of the inverse trigonometric function of the cosine function is [tex]\text{cos}^{-1}(-\frac{\sqrt{3} }{2} )=\frac{5\pi }{6}[/tex].

It is required to find the value of the inverse trigonometric function of the inverse cosine function:

[tex]\text{cos}^{-1}(-\frac{\sqrt{3} }{2} )[/tex]

It is known that:

[tex]\text{cos}^{-1}(-x)=\pi -\text{cos}^{-1}(x)[/tex]

Here, [tex]x=-\frac{\sqrt{3} }{2}[/tex].

Substitute the value of x to the result.

[tex]\text{cos}^{-1}(-\frac{\sqrt{3} }{2} )=\pi -\text{cos}^{-1}(\frac{\sqrt{3} }{2} )[/tex]

It is known that:

[tex]\text{cos}^(\frac{\pi }{6} )=\frac{\sqrt{3} }{2}[/tex]

So, [tex]\text{cos}^{-1}(\frac{\sqrt{3} }{2} )=\frac{\pi }{6}[/tex].

So, the value can be written as:

[tex]\text{cos}^{-1}(-\frac{\sqrt{3} }{2} )=\pi -\frac{\pi }{6}[/tex]

                   [tex]=\frac{6\pi -\pi }{6}[/tex]

                   [tex]=\frac{5\pi }{6}[/tex]

Hence, the value of the function is [tex]\frac{5\pi }{6}[/tex].

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Answer:

- 4(x + 3)(x - 2)

Step-by-step explanation:

Given

- 4x + 24 - 4x² ← rewrite in standard form, that is

- 4x² - 4x + 24 ← factor out - 4 from each term

= - 4(x² + x - 6) ← factorise the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2, since

3 × - 2 = - 6 and 3 - 2 = + 1, hence

x² + x - 6 = (x + 3)(x - 2), and

4x² - 4x + 24 = - 4(x + 3)(x - 2)

Answer:

26.307 miles per gallon

Step-by-step explanation:

Divide the miles traveled by the number of gallons used.

In this case, divide 342 by 13 to get the answer of 26.307 miles per gallon.

Answer:photo math

Step-by-step explanation:

The exact answer is 4√2 + 4

The decimal answer is 9.6568 ( round the answer as needed.)

See the attached picture:

Answer:

cylinder has greater volume

Answer:

One bike: -$

30

Two bikes: $

3

Three bikes: $

40

Four bikes: $

70

Five bikes: $

90

Six bikes: $

90

Seven bikes: $

80

Step-by-step explanation:

trust me:)

The profit gotten at each level of production of the bicycles are respectively; -$30, $3, $40, $70, $90, $90, $80

From the attached table, we see three columns showing respectively;

Column 1; Units of bicycles produced per day

Column 2; Total Cost of the Units of bicycles produced per day

Column 3; Total revenue from the sale of the units of bicycles produced per day.

Now, to find the profit we will just subtract the cost of producing the given number of units from the total revenue from the sale of that specific unit produced.

For the level of 1 bicycle produced; Profit = $50 - $80 = -$30

For the level of 2 bicycles produced; Profit = $100 - $97 = $3

For the level of 3 bicycles produced; Profit = $150 - $110 = $40

For the level of 4 bicycles produced; Profit = $200 - $130 = $70

For the level of 5 bicycles produced; Profit = $250 - $160 = $90

For the level of 6 bicycles produced; Profit = $300 - $210 = $90

For the level of 7 bicycles produced; Profit = $350 - $270 = $80

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Answer:

Step-by-step

Answer:

if i see them it my be 5x6x7=76 6(*)665_+65x673 then add those toether then sub em 56-78-463=738

Step-by-step explanation:

Answer:84

Step-by-step explanation:

p = perentsis acccording to pemdas you have to multiply then 8x2  =16 +5=21

21 x4 = 84

Answer:

18 in

Step-by-step explanation:

A=1/2 bh

180 = (20* h)/2

180*2 = 20*h

(180*2)/20 = h

360/20 = h

18 in = h