This year the winner of the New York Marathon ran the 8-kilometer event in 24 minutes. What is the runner’s unit rate?

Answer:

5x-y=-9

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Because these sides fit right in pythagoras theorem

24²+7²=25²

Answer:

Step-by-step explanation:

Answer: 4.3

Step-by-step explanation:

Answer:

quotient is 4 remander 3 continues

Step-by-step explanation:

Answer:1.all real numbers

2.x=0

3.no solution

Step-by-step explanation:

Answer:

SPONGEBOB SQUAREPANTS

Step-by-step explanation:

⇛2√3.

Step-by-step explanation:

Given,

6/√3

The denominator is √3.

We know that

The rationalising factor of √a is √a. To rationalise the denominator of 6√√3, we multiply this by √3/√3.

⇛(6/√3)×(√3/√3)

⇛(6√3)/(√3)²

⇛(6√3)/(√3*3)

⇛(6√3)/3

⇛2√3

Hence, the denominator is rationalised.

Answer:

the answer is C

Step-by-step explanation:

hope this helps

Answer:

The Answer is B

Step-by-step explanation:

In [tex](a^{-2} * 8^{7})^{2}[/tex], each inner term has its exponent multiplied by the two on the outside. The answer is thus [tex]a^{-4}*8^{14}[/tex] or [tex]\frac{8^{14}}{a^{4}}[/tex]

Answer:

113.18

Step-by-step explanation:

[tex]\sqrt{113^{2}+32x^{2}[/tex]

SF=113.18

The direct distance between Jalen and the entrance is 144.6 feet.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

Place everything on an xy grid with the Entrance at (0,0).

Then the Ferris Wheel is at (95,156) and the Swings are at (-23,124).

Cody is halfway between them,

so he is at

(95-((95-(-23)/2)),156-(156-124/2) or (36,140).

The distance from Cody to the entrance, using Pythagoras, is square root of

(362+1402)

=144.6 feet

Therefore , the direct distance between Jalen and the entrance is 144.6 feet.

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Answer: b=9

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

6 friends

Mean - 10

Median - 9.5

Range - 14

3 friends watched 12, 13, and 18 movies.

Let's find the sum, this will help us find the total number of movies the other 3 friends watched.

12 + 13 + 18 = 43

The mean is all their movies added toether, divided by the number of friends.

m = number of movies the other friends watched.

(43 + m) / 6 = 10        Multiply each side by 6

43 + m = 10 * 6

43 + m = 60          Subtract 43 from each side

m = 60 - 43

m = 17

So we know the total movies the other friends watched is 3.

A. 4+6+7 = 17

B. 4+4+7 = 15

C. 5+8+9 = 22

D. 2+3+5 = 10

We know the answer is A.

We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.

4, 6, 7, 12, 13, 18

So 7+12 = 19

19/2 = 9.5

So we know for sure A is correct!

Step-by-step explanation:

c=7c+24

c-7c=24

-6c=24

c=24÷-6

c=-4

Answer:

B, x = 2

Step-by-step explanation:

I'll explain in a seconda

Answer:

3.8 seconds

Step-by-step explanation:

Time taken to sort the mail is [tex]5[/tex] seconds

Let time taken to go from one mailbox to the next be [tex]x[/tex]

Distance between the mailboxes is [tex]100[/tex] ft

So, sorting the mail for one mailbox and going to the next will be done in [tex](5+x)[/tex] seconds

This will happen 19 times and 5 seconds will be needed to sort the mail for the last mail box. The carrier will have to deliver to all the 20 mailboxes in 10 minutes. So, the total time taken will be

[tex]19(5+x)+5=10\times 60\\\Rightarrow 19(5+x)=595\\\Rightarrow 5+x=\dfrac{595}{19}\\\Rightarrow x=\dfrac{595}{19}-5\\\Rightarrow x=\dfrac{500}{19}\ \text{s}[/tex]

Time taken to go from one mailbox to the other is [tex]\dfrac{500}{19}\ \text{s}[/tex]

Speed is given by

[tex]v=\dfrac{100}{\dfrac{500}{19}}\\\Rightarrow v=3.8\ \text{ft/s}[/tex]

The speed at which the carrier has to move from one mailbox to the next is 3.8 seconds.

Answer:

Step-by-step explanation:

Answer:

its 6 i thinknidk

Step-by-step explanation:

ueueueyryurgrhr

Answer:

p = 9.11

Step-by-step explanation:

10.2p + 2.5 = 95.5

10.2p = 93

p = 93/10.2 = 9.11

Answer

It is possible to find f(x+7) by replacing each occurrence of

X by X+7

It is possible to find f(x+7) by replacing each occurrence of x in the function f(x) = x² - 5x + 4 and the function f(x + 4) becomes f(x + 4) = x² +3x.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

f(x) = x² - 5x + 4

It is required to find the f(x + 4)

Replace x with x + 4

f(x + 4) = (x + 4)² - 5(x + 4) + 4

f(x + 4) = x² + 8x + 16 - 5x - 20 + 4

f(x + 4) = x² +3x

The function f(x + 4) is f(x + 4) = x² +3x  after plugging x = x + 4 in the f(x)

Thus, it is possible to find f(x+7) by replacing each occurrence of x in the function f(x) = x² - 5x + 4 and the function f(x + 4) becomes f(x + 4) = x² +3x.

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Answer:

y=41  73=x

Step-by-step explanation:

180=x+9+98

minus 98 from both sides

82=x+9

minus 9 from both sides

73=x

2y=x+9 because they are corresponding angles

2y=73+9

2y=82

divide by 2 on both sides

y=41

2(x + 4) - 3(x -5) = 2x + 8 - 3x + 15 = 23 - x

Answer:

The answer is: (x , y) = (19/10 , 1/5)

Step-by-step explanation:

Solve the equation for y-

y = 4 - 2x

4x - 3y = 7

Substitute the given value of y into the equation-

4 x - 3 ( 4 - 2x ) = 7

Solve the equation for x-

x = 19/10

Substitute the given value of x into the equation y = 4 - 2x-

y= 4 - 2 * 19/10

Solve the equation for y-

y = 1/5

The possible solution of the system is the ordered pair ( x , y )-

( x , y ) = ( 19/10 , 1/5)

Check if the given ordered pair is the solution of the system of equations-

{2 * 19/10 + 1/5 =4

4 * 19/10 - 3*1/5 =7}

Simplify the equalities-

4 = 4

7 = 7

Since all equalities are proven true the ordered pair is the solution of the system-

( x , y) = (19/10, 1/5)

FINALLY haha the solution is: ( x , y ) = (19/10 , 1/5)

Hope this helps you!! :) <333

Answer:

30 miles

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tanx = [tex]\frac{sinx}{cosx}[/tex] , sin²x + cos²x = 1, secx = [tex]\frac{1}{cosx}[/tex]

Consider left side

tanAsinA + cosA

= [tex]\frac{sinA}{cosA}[/tex] × sinA + cosA

= [tex]\frac{sin^2A}{cosA}[/tex] + cosA

[tex]\frac{sin^2A+cos^2A}{cosA}[/tex]

= [tex]\frac{1}{cosA}[/tex]

= secA = right side , thus proven

The set of statements about the angles are: angle 1 is congruent to angle 4 is congruent to angle 5 is congruent to angle 8 and angles 2 is congruent to angle 3 is congruent to angle 6 is congruent to angle 7

A pair of parallel lines cut through by a transversal would form set of congruent angles

The parallel lines are given as:

Lines p and line q

From the complete question (see attachment for image), we have the following congruent angles:

Hence, the set of statements about the angles are: angle 1 is congruent to angle 4 is congruent to angle 5 is congruent to angle 8 and angles 2 is congruent to angle 3 is congruent to angle 6 is congruent to angle 7

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Answer:

It´s D. I hope I answered the correst question

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

Let 2x be how many red/green marbles there are,

let 5x be how many blue marbles there are, and

let 7x be how many white marbles there are.

2x + 2x + 5x + 7x = 304

16x = 304

x = 19

As 5x is defined as how many blue marbles there are, we could just plug x for 19:

5*19 = 95

I hope this helped, and if it did please consider giving me brainliest :)

Answer:

95

Step-by-step explanation:

Let r, g, b, w be the number of red, green, blue, and white marbles, respectively. Since r : g : b : w = 2 : 2 : 5 : 7, there is some value of x for which r = 2 x, g = 2x, b = 5x, and w = 7x. Then, we have

                                      304 = r + g + b + w

                                      = (2x) + (2x) + (5x) + (7x)  

                                                              = 16x

Dividing both sides of 16x = 304 by 16 gives x=19. This gives us r = 38, g = 38, b = 95, w = 133, so I have 95 blue marbles.

The rate of flow in cups per year is  3645 cups per year.

To convert the rate of flow from quarts per day to cups per year, we first need to convert quarts to cups and days to years.

1 quart is equal to 4 cups,

So 5 quarts is equal to 5 x 4 = 20 cups.

1 year is equal to 365 days, so

2 days is equal to 2/365 = 1/182.5 years.

So the rate of flow in cups per year is 20 cups / (1/182.5 years) = 3645 cups per year.

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Answer:

1/10

Step-by-step explanation:

A dime is 1/10 fraction of a dollar.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator. Any number can be expressed as fractions.

We have to convert a dime into a fraction of a dollar.

Number of dimes in a dollar = 10

10 dimes = 1 dollar

1 dime = 1/10 dollar

So we can say that one dime is 1/10 of a dollar.

Hence 1/10 fraction of a dollar is 1 dime.

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