4. A runner 1600 meters in 4 minutes. What was his rate of speed? *

Answer:

choice A: john is correct

Answer:

51 is not compostite

Step-by-step explanation:

51 is an odd number and it is not able to be divided by other numbers so it is a prime number

Answer:

-6

Step-by-step explanation:

come on

Answer:

C. Add the exponents (2+2)

D. Subtract the coefficients. (5-3)

2y^4

I hope this helped! :))

Answer:11

Step-by-step explanation:

18*1/3+5=11

Answer:

11

Step-by-step explanation:

To find the number that is 5 more than [tex]\frac{1}{3}[/tex] of 18, we can start by evaluating what [tex]\frac{1}{3}[/tex]  is:

[tex]\frac{1}{3}[/tex]  of 18

⇒ [tex]\frac{1}{3} \times 18[/tex]

To multiply a whole number by a fraction, we can convert the whole number into a fraction by giving it a denominator of 1:

⇒ [tex]\frac{1}{3} \times \frac{18}{1}[/tex]

⇒ [tex]\frac{18}{3}[/tex]   [This is the same as 18 ÷ 3]

⇒ [tex]\bf 6[/tex]

Now that we have the value of [tex]\frac{1}{3}[/tex] of 18, we can simply add to it to find the number that is 5 more than [tex]\frac{1}{3}[/tex] of 18:

[tex](\frac{1}{3} \times 18) + 5[/tex]

⇒ [tex]6 + 5[/tex]

⇒ [tex]\bf 11[/tex]

∴ The number we are looking for is 11.

Answer:

C. 4√3 units

Step-by-step explanation:

Edge 2021

The value of x is 4.

Option B is the correct answer.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

From ΔRMN,

NM² = RN² + RM²

8² = y² + x²

64 = y² + x² ______(1)

And,

From ΔRNS,

RN² = RS² + SN²

y² = z² + 6²

y² = z² + 36 ______(2)

And,

From ΔRMS,

x² = z² + 2²

x² = z² + 4 _______(3)

From (1), (2), and (3).

x² = y² - 36 + 4

x² = 64 - x² - 36 + 4

2x² = 64 - 36 + 4

2x² = 68 - 36

2x² = 32

x² = 16

x = 4

Thus,

The value of x is 4.

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10x - 4y = 5 (if it requires shorten)

Step-by-step explanation:

x + y/5 - 1 = y - x

<=> (5x + y - 1.5)/5 = 5(y - x)/5

<=> 5x + y - 5 = 5y - 5x

<=> 5x + 5x + y - 5y = 5

<=> 10x - 4y = 5

Answer:

The store sold 4,400 video games all year.

Step-by-step explanation:

Percentages

The x percent of a number N is calculated as:

[tex]\displaystyle P=\frac{x}{100}*N[/tex]

If the value of P is known, then:

[tex]\displaystyle N=\frac{100}{x}*P[/tex]

We know the store sold P=550 video games during the month of December and it corresponds to the x=12% of its yearly games sales (N).

Let's calculate N:

[tex]\displaystyle N=\frac{100}{12.5}*550[/tex]

N = 4,400

The store sold 4,400 video games all year.

Answer:

Step-by-step explanation:

1). Let the length of a marathon race = x miles

   Marathon runner runs this race in the sequence formed as,

   [tex]\frac{x}{2},\frac{x}{4},\frac{x}{8}.........[/tex]

  Common ratio = [tex]\frac{\frac{x}{4}}{\frac{x}{2}}[/tex]

                           = [tex]\frac{x}{4}\times \frac{2}{x}[/tex]

                           = [tex]\frac{1}{2}[/tex]

  Therefore, it's a geometric sequence.

2). First movie rental cost = $2

  Followed by each additional movie rental cost = $1

  Therefore, rental of movies will be in the form of a linear equation,

  y = 2x + 1

  where x = number of movies

  And y = Rental of movies

  It's not a geometric sequence.

3). 10, 1, 0.1, 0.01.......

  Ratio in 2nd and 1st term = [tex]\frac{1}{10}=0.1[/tex]

  Ratio in 3rd and 2nd term = [tex]\frac{0.1}{1}=0.1[/tex]    

  Therefore, ratio in each term is common.

  Sequence formed will be a geometric sequence.

4). [tex]\sum_{k=1}^{7}4(0.2)^{k-1}[/tex]

   Expression represents a common ratio of 0.2,

  Therefore, expression given will represent a geometric sequence.

5). -4, 20, -100, 500, ...........

   Ratio of 2nd and 1st term = [tex]\frac{20}{-4}[/tex] = -5

   Ratio of 3rd and 2nd term = [tex]\frac{-100}{20}[/tex]

                                               = -5

   There is a common ratio = -5

   Therefore, it's a geometric sequence.

6). -1, 5, 11, 17.........

   Ratio of 2nd and 1st term = [tex]\frac{5}{-1}=-5[/tex]

   Ratio of 3rd and 2nd term = [tex]\frac{11}{5}=2.2[/tex]

   -5 ≠ 2.2

   Therefore, sequence is not a geometric sequence.

7). -500, 100, -20, 4........

   Ratio of 2nd and 1st term = [tex]\frac{100}{-500}=-\frac{1}{5}[/tex]

   Ratio of 3rd and 2nd term = [tex]\frac{-20}{100}=-\frac{1}{5}[/tex]  

Answer:

I agree with person above

Step-by-step explanation:

Answer:

4a is the answer.

Step-by-step explanation:

5a - a

= 4a

Answer:

It is 4a.

Step-by-step explanation:

=5a-a

=4a

Hope it helps you..

Answer:

(3p + 5)^2

Step-by-step explanation:

9p^2 + 30p + 25

9p^2 is the square of 3p = a

25 is the square of 5 = b

This may be the square of a binomial.

We need to check the middle term.

(a + b)^2 = a^2 + 2ab + b^2

2ab = 2(3p)(5) = 30p

This is the square of a binomial.

9p^2 + 30p + 25 = (3p + 5)^2

Answer:

3:2

Step-by-step explanation:

can also be written as 3/2 as a fraction!

Answer:

Blue paint to red paint - 3:2

Red paint to blue paint 2:3

Step-by-step explanation:

For every 3 cups of blue paint there is 2 cups of red paint

For every 2 cups of red paint there is 3 cups of blue paint

Fraction Mode: 3/2 or 2/3

Answer:

the answer is 3 i just did the test and btw i like your profile pick anyways not the point just know the answer is 3

Step-by-step explanation:

Answer:

Lebron James = bruh bruh bruh

Step-by-step explanation:

Answer:

Lol free points

Step-by-step explanation:

Answer:

Option C is correct answer

Answer:

x = -16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

10(1/2x + 2) - 5 = 3(x - 6) + 1

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -65 does indeed equal -65.

∴ x = -16 is the solution of the equation.

Answer: 9

Step-by-step explanation: First, solve the left side. Using the distributive property, the left side would be -3x + 9. The right side is the same, but missing the 9. Adding the 9 will make the value of x not matter (essentially infinite solutions).

Answer:

Step-by-step explanation:

The equation of circle that passes through origin is given by

And the given circle passes through (-8,0).

Substituting -8 for x and 0 for y, we will get

Answer: 119°

∠C + 112° = 180°

⇔ ∠C = 180 - 112 = 68°

because ∠B is the outer angle of the triangle

=> ∠B = ∠C + 51° = 68° + 51° = 119°

=> ∠B = 119°

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

Let's simplify step-by-step.

3(x+1)+2(x+5)

Distribute:

=(3)(x)+(3)(1)+(2)(x)+(2)(5)

=3x+3+2x+10

Combine Like Terms:

=3x+3+2x+10

=(3x+2x)+(3+10)

=5x+13

The function (5n² - 9) / (n + 3) is a natural number for n = 3 and n = 15.

A function is given which is (5n² - 9) / (2n + 6).

We have to find the value of natural number n for which the given function is also natural number.

What do you mean by natural numbers ?

Natural numbers are known as the counting numbers which starts from 1 and end at infinity and also includes the whole numbers excluding 0.

As per the question ;

(5n² - 9) / (2n + 6) is a natural number for the value of n which is also a natural number.

Let's assume ;

(5n² - 9) / (2n + 6) = k

or

(5n² - 9) / (n + 3) = 2k

So , we can say that (5n² - 9) / (n + 3) is an even number.

We know that ;

Dividend ÷ Divisor = Quotient

If we divide (5n² - 9) by (n + 3) we will get ;

Quotient = 5n - 15

and

Remainder = 36

We can write it as ;

(5n² - 9) ÷ (n + 3) = (5n - 15) + {36 / (n+ 3)}

Here ;

36 / (n+ 3) is a natural number and n is a natural number.

Assume ;

n = 1 , 3 , 6 , 9 , 15 , 33

Let's check ;

for n = 1 ;

(5n - 15) + {36 / (n+ 3)} will be ;

= (5 - 15) + {36 / (1+ 3)}

= -1

for n = 3 ;

(5n - 15) + {36 / (n+ 3)} will be ;

= (15 - 15) + {36 / (3+ 3)}

= 6

for n = 6 ;

(5n - 15) + {36 / (n+ 3)} will be ;

= (30 - 15) + {36 / (6+ 3)}

= 19

for n = 9 ;

(5n - 15) + {36 / (n+ 3)} will be ;

= (45 - 15) + {36 / (9+ 3)}

= 33

for n = 15 ;

(5n - 15) + {36 / (n+ 3)} will be ;

= (75 - 15) + {36 / (15+ 3)}

= 62

for n = 33 ;

(5n - 15) + {36 / (n+ 3)} will be ;

= (165 - 15) + {36 / (33+ 3)}

= 151

So , we found that only for values of n = 3 and n = 15 , the value of (5n - 15) + {36 / (n+ 3)} is also an even number.

Thus , the function (5n² - 9) / (n + 3) is a natural number for n = 3 and n = 15.

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Answer:

I think it c=4p

Step-by-step explanation:

I’m sorry if it wrong

The car is at 60ft from you 5 seconds after it starts moving and 7.5 seconds after it starts moving.

The 48*t part means the number of feet that the car moves in t seconds

We know that the absolute value equation that models the distance is:

d(t) = |300 - 48*t|

Then what we need to solve is d(t) = 60, this is:

d(t) = 60 = |300 - 48*t|

That absolute value equation can be represented in two forms:

300 - 48*t = 60

300 - 48*t = -60

Solving these two we get the two times at which the car is at 60ft from you.

-48*t = 60 - 300

t = (60 - 300)/(-48)  = 5

t = (-60 - 300)/(-48) = 7.5

So the car is at 60ft from you 5 seconds after it starts moving and 7.5 seconds after it starts moving.

The 48*t part means the number of feet that the car moves in t seconds.

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The angle by which turns counterclockwise about point P to coincide with is 180 degree angle

What is 180 degree angle?

The angle which forms a straight line is called the 180-degree angle. A 180-degree angle is a straight angle and it is exactly half of a revolution. The two arms of the angle which are making 180-degree are just opposite to each other from the common vertex.

The points D, P and C forms a straight line.

So, if it turns clockwise about Point P, it would make an angle of 180 degree.

as the point D and C are of equal lengths and opposite to each other, the angle from P turning clockwise makes 180 degree angle.

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Answer:

100

80

Step-by-step explanation:

plato

Answer:

g(x) = -3x

Step-by-step explanation:

g(x)=3x reflected about x - axis is g(x) = -3x. It's kind of hard to explain but that's the right answer i'm pretty sure

Answer: 1/3

5/7 x X=1/7 35x= 7

X=7/35 simplified version 1/3

Answer:

k = -1/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(k−5)=−16

(3)(k)+(3)(−5)=−16(Distribute)

3k+−15=−16

3k−15=−16

Step 2: Add 15 to both sides.

3k−15+15=−16+15

3k=−1

Step 3: Divide both sides by 3.

3k /3 = −1 /3

k =  −1 /3

Answer:

0.002 , 0.05 , 0.40 , 0.80 , 1.02 , 2 , 4 , 11 , 13 , 15 , 16 , 357

Step-by-step explanation:

11 , 357 , 2 , 1.02 , 13 , .80 , 4, .002 , 15 , .05 , 16 , .40

Answer:

What are yu askin

Step-by-step explanation:

Answer:

64 Ounces

Step-by-step explanation:

Step-by-step explanation:

Solution

3(√2+2)

Alternative Form

≈ 10.24264