Steve is training for a marathon. He has run the following distances so far this week: 5 miles, 8.5 miles, 3.5 miles and 9 miles. He is going to run one more day this week. If Steve would like to average 7 miles for his training runs this week, how many miles should he run during his last run of the week?

Hey there!

[tex]Answer:\boxed{x=3,1}[/tex]

[tex]Explanation:[/tex]

x^2 - 4x + 3

If you want to solve using quadratic formula, you have to find a, b, c to find x.

x = 3,1

Hope this helps!

Answer: -2x=-2

Step-by-step explanation:-6x-4x=2x

hope this helps xxx

Answer:

x=1

Step-by-step explanation:

-6x + 4x= -2     original equation

-2x = -2    because you have to combine like terms ( -6x and 4x)

[tex]\frac{-2x}{-2} = \frac{-2}{-2}[/tex]  divide both sides by -2

x= 1 solution

Step-by-step explanation:

F(x) =x^2

G(x) =x-3

G(f(x))

= (x^2) -3

F(f(x))

= (x-3)^2

(x-3)(x-3)

x^2 -6x+9

For the second one

1/(x-3)

x-3 ≠ 0

x ≠ 3

So the domain restriction = 3

Answer:

i agrey with other guy

Step-by-step explanation:

Answer:

Step-by-step explanation:

This exercise desires to test our   knowledge of units conversion,

now, given that on the map 1 inch represents 4 miles

the distance of 1mile when converted to inches ordinarily would be

1mile is 63360 inches

since on the map

1 inch represents 4 miles

63360 inches represents  Xmiles

cross multiply we have

X would be = 63360*4

On a map one mile would be 253440 miles

Answer:

  squares of the reciprocals of natural numbers

Step-by-step explanation:

The numbers are squares of the reciprocals of successive natural numbers.

1 : (1/1)^2 = 1

2 : (1/2)^2 = 1/4

3 : (1/3)^2 = 1/9

4 : (1/4)^2 = 1/16

5 : (1/5)^2 = 1/25

Answer:

squares of the reciprocals of natural numbers

Step-by-step explanation:

Answer:

Your answer is correct

(9c+2w)(9c−2w)

Step-by-step explanation:

...

Step-by-step explanation:

the answer is 177.75 lb; 178.25 lb

Answer:

I believe the question is asking what it was before it was rounded to 178.

Your answer is 177.5lb

Step-by-step explanation:

A half pound is 0.5lb. After 5 or 0.5 you always round up. So rounding 177.5lb to the nearest half pound would be 178lb. Hope this helps!

Answer:

-28/32,15/40,5/8,4.

Answer:

5

Step-by-step explanation:

Explanation:

Let's call our number  

a

. The statement written as a formula is

a

12

a

9

=

125

We can simplify the fraction, and we have

a

3

=

125

To solve for  

a

, take the third root of both sides:a

=

(

125

)

1

3

=

5

Answer:

Interval Notation:

( −∞,−13]

Set-Builder Notation:

{ x| x≤−13}

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Use the rule in algebra: change side,change sign... (when you move a digit, see whether it's +,-,× or ÷ and work out the opposite to get the letter on its own.

Answer:

the answer is 8 working out is shown below

Answer:

Volume of a sphere: V = (4/3)πr.

Step-by-step explanation:

hope this helps

Answer:

37 is the smallest positive integer n such that n(n+1)(n+2) is divisible by 247.

Step-by-step explanation:

First we will find the prime factors of 247:

247 = 13 x 19 (which are both prime).

So now we need to find a number (the smallest one) that is of the form (n)(n+1)(n+2) (the product of three consecutive numbers) and that is divisible by both 13 and 19 (and therefore divisible by 247)

Let's take a look at the multiples of 13: 13, 26, 39, 52...

Let's take a look at the multiples of 19: 19, 38, 57...

We can see that the first time we have two multiples close together are the 38 (for 19) and the 39 (for 17).

So, if our number has both 38 and 39 as factors, then it will be divisible by 247.

However, we need not two but three consecutive numbers, and since we want the number to be the smallest positive integer, we will add 37 (since our other choice would be to add 40 and that would make the number bigger) and thus our number is (37)(38)(39) or in other words (37)(37 + 1)(37 + 2) and therefore this is the smallest positive number such that n(n+1)(n+2) is divisible by 247.

The smallest positive integer n such that n(n+1)(n+2) is divisible by 247 is 37.

n(n+1)(n+2) is divisible by 247

Then, n(n+1)(n+2) =247k, where k is an integer

so, [tex]k = \frac{n(n+1)(n+2)}{247}[/tex]

An integer is a number that is not a fraction but a whole number.

Since the prime factors of 247 are 19 and 13.

By hit and trial let us choose the value of n such that n *(n+1) or (n+1) *(n+2) or n *(n+2)  become the multiples of 19 *13.

If n = 37

n+1 = 38

n+2 = 39

So, if n=37, ( n+1 )*(n+2) will get divided by 19*13

So, the smallest possible integer 'n' will be 37.

Therefore, the smallest positive integer n such that n(n+1)(n+2) is divisible by 247 is 37.

To get more about the number system visit:

brainly.com/question/17200227

Answer:

5 hours

Step-by-step explanation:

Arrival Time in Victorian time = 4 - 3 = 1pm

Flight time = 13 - 6 = 5 hours

Answer:

13

Step-by-step explanation:

→ Complete the division first

4 ÷ 2 = 2

11 + 2

→ Add

13

Answer:

x=3

Step-by-step explanation:

Answer:

60

hope this helps... have a great day!!!

Answer:

you cant simplify further

Step-by-step explanation:

The equation which is a radical equation from the given answer choices is; 7 √x = 14.

In mathematics, an nth root of a number x is a number r which, when raised to the power n, yields x: {\displaystyle r^{n}=x, } where n is a positive integer, sometimes called the degree of the root. A root of degree 2 is called a square root and a root of degree 3, a cube root.

here, we have,

According to the task content;

It follows that we are required to determine the equation which is a radical equation.

here, we have,

given that,

we have to find the radical equation.

now, we know that,

On this note, the required equation is 7 √x = 14 because the variable is under a radical.

Read more on radical equation;

brainly.com/question/2292715

#SPJ7

Answer:

4.5

Step-by-step explanation:

0 is the origin.

0-(-4.5)=

0+4.5=4.5

Answer:

False

Step-by-step explanation:

A subset is a set whose elements belong to another set

If B is a subset of A, B would contain elements of A

For example,  A = {a, b, c} and if B is a subset of A , B = { a, b}

Answer:

8 3/4 chores

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(6,7) and B(-5,-9)

The midpoint is

[tex]M = ( \frac{6 - 5}{2} \: , \: \frac{7 - 9}{2} ) \\ = ( \frac{1}{2} \: , \: - \frac{2}{2} )[/tex]

We have the final answer as

[tex]( \frac{1}{2} \: , \: - 1)[/tex]

Hope this helps you

Answer: 8,497.5

32,445

Step-by-step explanation:

Answer:

87,025

Step-by-step explanation:

17550-20525. just subtract

Answer:  20 22

Step-by-step explanation:

Hey there! ☺

[tex]Answer:\boxed{\text{FALSE}}[/tex]

[tex]Explanation:[/tex]

7(+3) - 1 = 5(+4) + 2

7(3) - 1 = 20 Multiply 7 by 3 and subtract 1

(5)(4) + 2 = 22 Multiply 5 by 4 and add 2

20 = 22 is the answer.

20 = 22 is FALSE.

Hope this helps!

Answer:

Step-by-step explanation:

This is how to round 6.47 to the nearest tenth.

First note that 6.47 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 6

Fractional Part: 47

To round 6.47 to nearest tenth means to round the numbers so you only have one digit in the fractional part.

Answer:

-2-12s

Step-by-step explanation:

distributive property