Hi! help is greatly appreciated!

Find the value of x.

A. 6
B. 2
C. 4
D. 3​

Complete Question

The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school's football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.

Part A

Write an expression that represents the perimeter of the football field. Let x Represent the length of the football field. Include parentheses in your expression. Next, write an equivalent expression that does not include parentheses.

Part B

The cross country coach later determines that the length of the football field is 120 yards. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap?

Answer:

 [tex]p=4A-140[/tex]

[tex]T =or 62sec[/tex]

Step-by-step explanation:

From the question we are told that

The width of the field is seventy yards shorter than the length.

a) Generally the equation for width and length is given as

         [tex]B=x-70[/tex]

Mathematically  in finding the perimeter [tex]p[/tex] around the field

         [tex]p=2(A+B)[/tex]

         [tex]p=2(2A-70)[/tex]

         [tex]p=4A-140[/tex]

b)Generally[tex]A=120[/tex]

Mathematically

         [tex]p= 4(120) -140[/tex]

         [tex]p=480-140[/tex]

         [tex]p= 340[/tex]

Therefore

Yards ran by individual athlete[tex]Y[/tex]

          [tex]340*5=1700\\Y=1700[/tex]

Time elapsed in a lap T

    [tex]T=\frac{340}{1700} *6\\T=1.2min[/tex]

    [tex]T =or \hspace 662sec[/tex]

Answer:2 is equal to 18/1 which is 36 divided by 2

Step-by-step explanation:

Answer:

1 is 20/1 or 20 miles per hour

2 is 18/1 or 18 push ups per min

3 is 15/1 or 15 dollars per hour

4 is 50/1 or 50 km per hour

Step-by-step explanation:

divide the numerators by the denominators

Answer:

1 3/4 pounds.

Step-by-step explanation:

4 1/2 = 4 2/4

4 2/4 - 2 3/4 = 1 3/4

Answer:

1 [tex]\frac{3}{4}[/tex] pounds of sand is left in the bucket

Step-by-step explanation:

4.5 - 2.75 = 1.75 or 1 3/4

Answer:

C. (f - g)(x) = 3ˣ - 2x + 14

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3ˣ + 10

g(x) = 2x - 4

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Answer:

36

Step-by-step explanation:

Answer:

16524534887

Step-by-step explanation:

Answer:

16524534887

Step-by-step explanation:

just multiply, takes a while but you can do it

or you can just use a calculator

Answer:

French: la somme d'un nombre inconnu et 12

Spanish: la suma de un número desconocido y 12

Latin: XII numerus ignotus est et summa

Step-by-step explanation:

Answer:

Commutative.

Associative property works on symbols instead of signs!

Answer:

associative property

Step-by-step explanation:

[a+b]+(c)=(a)+[b+c]

Answer:

Step-by-step explanation:

f(x)=[tex]e^{x}[/tex]

g(x)= x-4

g∅f(x) = [tex]e^{x}[/tex]-4

Answer:

(g•f)(x)=e^x -4

Step-by-step explanation:

Answer: i think it may be b

Step-by-step explanation:

Answer:

5 days

Step-by-step explanation:

Sohan can do the whole thing in 10 days

he worked 5 days so he did half

and Mohan did the other half in 5 days

so their speeds are same

so if they worked together they'd do it in half the time

i.e 5 days

Answer:

38 candies.

Step-by-step explanation:

Given the following data;

Total number of candy = 874

Total number of children = 23

Since we know that they are all sharing it equally, each child would get;

Each child = 874/23

Each child = 38 candies.

Answer:

First choice, 21/50

Step-by-step explanation:

16 + 9 + 22 + 26 + 15 + 12 = 100

Out of 100 tries, 16 times landed on 1 and 26 times landed on 4, added together is 42 times it landed on either a 4 or 1 out of 100

42/100, simplify it with 2, 21/50

Answer: The answer is C

Step-by-step explanation:

Answer:  [tex]\frac{8x^3}{27y^6}[/tex]

This is the fraction 8x^3 all over 27y^6

On a keyboard, we can write it as (8x^3)/(27y^6)

===========================================================

Explanation:

The exponent tells you how many copies of the base to multiply with itself.

We'll have three copies of [tex]\left(\frac{2x}{3y^2}\right)[/tex] multiplied with itself due to the cube exponent on the outside.

So,

[tex]\left(\frac{2x}{3y^2}\right)^3 = \left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2x*2x*2x}{(3y^2)*(3y^2)*(3y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{(2*2*2)*(x*x*x)}{(3*3*3)*(y^2*y^2*y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{9y^6}\\\\[/tex]

-------------------

Or another approach you could take is to cube each component of the fraction. The rule I'm referring to is [tex]\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}[/tex]

Applying that rule will lead to:

[tex]\left(\frac{2x}{3y^2}\right)^3 = \frac{(2x)^3}{(3y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2^3*x^3}{3^3*(y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^{2*3}}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^6}\\\\[/tex]

Either way you should get 8x^3 all over 27y^6 as one fraction.

Answer:

i will solve it below

Step-by-step explanation:

12.00 + 1.25

13.00

60.00 - 13.00 = 47.00

your welcome

Answer:

$12p plus $1.25s≤60

Step-by-step explanation:

Because we are multiplying to see how many pizzas and sodas he will get for under 60 dollars or equal to $60

Answer:

option d is the correct answer

Step-by-step explanation:

use formula for finding sum of all interior angles of regular polygon i.e. (n-2)×180 where n is no of sides of regular polygon then divide it by no. of sides of regular polygon to find measure of one angle of regular polygon and then subtract it from 180° to find the answer

Answer:

d = 29/4 miles

That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles

Step-by-step explanation:

Answer:

7 1/4

Step-by-step explanation:

4 5/6 miles / 2/3 hour =

= 29/6 * 3/2 miles/hour

= (29 * 3)/(6 * 2) miles/hour

= 29/(2 * 2) miles/hour

= 29/4 mph = 7 1/4 mph

Answer:

Length = 22 ; width = 10

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter = 64 feets

Length = 2 + (2*width)

Let :

Length = l ; width = w

Perimeter = 2((2 + (2w)) + w)

64 = 2(2 + 3w)

64 = 4 + 6w

64 - 4 = 6w

60 = 6w

w = 60/6

w = 10

Width = 10

Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22

Answer:

a ratio that compares a selected number of parts. to the total number of parts in a whole.

Step-by-step explanation:

Answer:

4.164 cm

Step-by-step explanation:

Given that:

Growth of an average human fingernail = 3.47 mm per month

One mm (millimeter) = 0.1 cm (centimeter)

To find:

Growth of an average human fingernail in one year = ?

Solution:

Here, we are given the growth for one month.

There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.

Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times

Growth in one year = 12 \times 3.47 mm = 41.64 mm

In millimeters, the growth of an average human fingernail = 41.64 mm

Let us convert it into centimeters by multiplying it with 0.1.

Therefore growth in centimeters = 41.64 mm [tex]\times[/tex] 0.1  = 4.164 cm

Answer:

x = 53/5

Step-by-step explanation:

see pic

Answer:

1

Step-by-step explanation:

Area of rectangle

lw

So we have to factorise the expression

x²+13x+42

x²+6x+7x+42

x(x+6)+7(x+6)

(x+7)(x+6)

So

x+7-(x+6)

x+7-x-6

1

Answer:

3 pickles per burger lol

1:3

Step-by-step explanation:

Answer:

3:9

1:3

because we know that it is 3:9 So we have to simplify it and then 3 divided by 3 equals 1 so 9 divided by 3 is 3

Answer:

x = - 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= x² - 2x + 6x + 4

= x² + 4x + 4

Equating to zero

x² + 4x + 4 = 0 ← left side is a perfect square

(x + 2)² = 0, thus

x + 2 = 0 ( subtract 2 from both sides )

x = - 2

Answer:

Step-by-step explanation:ifk

Answer:

the answer is a or b .

Step-by-step explanation:

had the same question on my test.