Question
The force needed to break a board varies inversely with its length. Richard uses 24 pounds of pressure to break a 2-foot-
long board. How many pounds of pressure is needed to break a 5-foot-long board?
Provide your answer below:

Answer:

5, 8, 3, 10 lbs.

Step-by-step explanation:

We can solve this using a system of equations! We will call pumpkins [tex]a, b, c, d[/tex].

Our equations are thus:

[tex]a + b + c + d = 26[/tex]

[tex]a = 3c - 4[/tex]

[tex]d = 2a[/tex]

[tex]b = c + 5[/tex]

So now we just need to solve this system of equations.

We can start by solving for the value of pumpkin [tex]c[/tex] and go from there. So first we substitute some equations around.

First we write out pumpkin [tex]d[/tex] in terms of [tex]a[/tex].

[tex]d = 2a = 2(3c - 4) = 6c - 8[/tex]

And now we put the three equations into the first equation:

[tex]a + b + c + d = 26\\(3c-4)+(c+5)+(c)+(6c-8)=26[/tex]

Then we simplify to get:

[tex]11 c - 7 = 26[/tex]

[tex]11c = 33\\c = 3[/tex]

So we know pumpkin [tex]c[/tex] weighs 3 pounds.

Then we use the equations from before to get the value of the other pumpkins:

[tex]a = 3c-4 = (3*3)-4=9-4=5\\d = 2a = 2*5=10\\b = c + 5 = 3 + 5 = 8[/tex]

And we can check our results by putting into first equation:

[tex]5+8+3+10=26[/tex]

So it works out!

Thus our pumpkins weigh 5, 8, 3, 10 lbs each.

Answer: deduction???

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

Answer:

That is incorrect.

Step-by-step explanation:

-2+v=16

+2     +2

v=18

v will not equal 14; it will equal 18

Answer:

49.09 miles per day

Step-by-step explanation:

There are 5,280 feet in one mile.

There are 60 seconds in one minute.

3 * 60 = 180 feet per minute

There are 60 minutes in one hour.

180 * 60 = 10,800 feet in one hour.

There are 24 hours in one day.

10,800 * 24 = 259,200 feet per day.

Divide to find how many miles she can walk.

259,200 / 5,280 = 49.09 miles

Best of Luck!

Answer:

it is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

5-5=?

?=5-5

?=0

PLS RATE BRAINIEST!

Answer:

1/10 times larger than 859,463

Step-by-step explanation:

The 5 is one digit behind the first number. And 500,000 × 1/10 = 50,000, which 50,000 is 1/10 smaller than 500,000.

Answer:

x+4

You're just adding 4 to x

Answer:

[tex]\left\{ \begin{array}{ll} a+s+r=350 \\ 4a+2.5s+2r=1095\\r=s-40 \end{array} \right.[/tex]

Step-by-step explanation:

Let's define our variables. Let a represent the number of adult tickets sold, s represent the number of senior tickets sold, and r represent the number of senior tickets sold.

We know that a total of 350 tickets were sold. So, the number of adult, student, and senior tickets sold must total 350. Therefore, we can write the following equation:

[tex]a+s+r=350[/tex]

We know that each adult ticket costs $4, each student ticket costs $2.50, and each senior ticket costs $2. We are given that a total of $1095 was collected. Therefore, the number of tickets multiplied by their respective price must equal $1095. So, we can write the following equation:

[tex]4a+2.5s+2r=1095[/tex]

Finally, we know that 40 fewer senior tickets were sold than student tickets. So, however many students tickets were sold, we can subtract 40 to get the number of senior tickets sold. Therefore:

[tex]r=s-40[/tex]

So, our system of equations is:

[tex]\left\{ \begin{array}{ll} a+s+r=350 \\ 4a+2.5s+2r=1095\\r=s-40 \end{array} \right.[/tex]

And we're done!

Answer:

23(14) +23(33)

Step-by-step explanation:

23(14+33)

Distributive Property

Answer:

Answer:

[tex]Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )[/tex]

[tex]Ran(f)=\matyhbb{R}[/tex]

Step-by-step explanation:

[tex]f(x)=\dfrac{x}{x^2-9}[/tex]

Once the denominator can't be zero, [tex]x\neq 3[/tex] and [tex]x\neq -3[/tex]

[tex]Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )[/tex]

The range from the graph is all Real numbers

Answer:

The given data can be written in the form of an AP, where n is the number of songs Hailey downloads

song_bill(n) = 14 + n(1.50)

Money Hailey has to pay after downloading 40 songs:

n = 40

song_bill(40) = 14 + 40(1.5)

song_bill(40) = 14  + 60

song_bill(40) = 74 dollars

Money Hailey has to pay after downloading ss songs:

n = ss

song_bill(ss) = 14 + ss(1.5)

song_bill(ss) = 14 + 1.5(ss) dollars

Answer:

32/81

Step-by-step explanation: multiply the numerator by 2 and the denominator by 3.

Answer:

  32/81

Step-by-step explanation:

Each term in the sequence is 2/3 of the previous one. Following that same pattern, the next term is 2/3 of the last one.

  16/27 × 2/3 = 32/81

Answer:

n=0

Step-by-step explanation:

both numbers have the same bases which is 5 so we can say that their exponents are equal to each other:

-2n = -2n-3

now we isolate the n variables to one side:

-2n + 2n = -3

0n = -3

n = 0

Answer:

x > -11

Step-by-step explanation:

Step 1: Write inequality

x + 3 > -8

Step 2: Solve for x

Here, the inequality is saying that any number greater than -11 will work as a solution.

Answer:

Option (4)

Step-by-step explanation:

[tex]m(\widehat{FC})[/tex] = 180° [FC is the diameter]

[tex]m(\widehat{FC})=m(\widehat{FB})+m(\widehat{BC})[/tex]

180° = 125° + [tex]m(\widehat{BC})[/tex]

[tex]m(\widehat{BC})=180-125[/tex] = 55°

[tex]m(\widehat{FBD})=360-m(\widehat{FED})[/tex]

               [tex]=360-[m(\widehat{FE})+m(\widehat{ED})][/tex]

               [tex]=360-[m(\widehat{BC})+m(\widehat{ED})][/tex] [Since [tex]m(\widehat{FE})=m(\widehat{BC})[/tex] arcs created by vertical angles]

               [tex]=360-(55+56)[/tex]

               = 249°

Therefore, Option (4) will be the answer.

Answer:

true.................................

f(x) = 1/4x-3

When f(x) = -1,

= 1/4(-1)-3

= -13/4

Answer

-2.25

Step-by-step explanation:

(1/-4) -2= (1/-4)- 2^4= -9/4= -2.25

Answer:

B and D

Step-by-step explanation:

i got it right :D

Given parameters:

We have two shapes, the rectangle and semi circle;

   The problem is to find the perimeter of the shape given

The perimeter of a body is the total length of the body.

 Here, it is the sum of the perimeter of the rectangle and semi-circle.

Note, to remove repetition, we to deduct 6 which is a common point to both of them.

Perimeter of a semi-circle = Circumference of semi- circle

                                            = πr² x [tex]\frac{1}{2}[/tex]

         The diameter here is 6 and radius is 3;

        Circumference of semi-circle = π x 3² x [tex]\frac{1}{2}[/tex]  = 14.14

Perimeter of rectangle = 2(6+8) = 28

The perimeter of the figure = 14.14 + 28 - 6 = 36.1

The perimeter of the figure is 36.1

Answer:

48

Step-by-step explanation:

12*4=48

substitute y for the given value

Answer:

48

Step-by-step explanation:

12y

Let y=4

12*4 = 48

Answer:

1

Step-by-step explanation:

just keep the first number and flip the sign and it would be 1 i think idrk

Answer:

the y-coordinate of the spaceship

Step-by-step explanation:

It's what it said on edge

Answer

b

Step-by-step explanation:

Answer:

1. 401(k)

2. IRA

3. 403(b)

Step-by-step explanation:

1. 401(k) is a employer-sponsored defined-contribution pension account

2. IRA stands for individual retirement account (hence individual)

3. 403(b) is a tax-advantaged retirement savings plan

hope this helps!!

Answer:

1.401k

2.425k

3.740k

Step-by-step explanation:

hehe naisip ko lang haha

Hope that this model helps!!

Answer:

Step-by-step explanation:

First you would find what the difference is between the school enrollment

you would do 1456 - 1234 =  222

Then you would divide 1234/1456 = 84.75% to see the total percentage

The increase however has a percentage of .18%

To check your work you would do .18 x 1234 = 222.12 ( round to the nearest whole number so it would just be 222) then add 1234+ 222 = 1456!

Answer:

you must hvae did it im so srry

Step-by-step explanation:

i never get brainlist so thanks anyways..... :(

9514 1404 393

Answer:

  a. 1.88495559215 radians

  b. 5.23598775598 radians

  c. 1.57079632679 radians

  d. 4.93678845564 radians

Step-by-step explanation:

You want the coefficient of pi to be between 0 and 2. That is, you want its value modulo 2--the remainder from division by 2.

  a. 13/5 = 2.6; 2.6 mod 2 = 0.6. 0.6π ≈ 1.88495559215 (as you know)

  b. -13/3 = -4 1/3; -4 1/3 mod 2 = 1 2/3*. 5/3π ≈ 5.23598775598

  c. 57/2 = 28.5; 28.5 mod 2 = 0.5. 0.5π ≈ 1.57079632679

  d. 11/7 = 1 4/7. 11/7π ≈ 4.93678845564

All angles are in radians.

__

* My calculator gives the value of -4 1/3 mod 2 as -1/3. We want the positive value, so must add 2 to this. The attachment shows Desmos is smarter than my calculator.

Answer: 51.75$

Step-by-step explanation: First, turn 15% into the decimal 0.15, then multiply by 45, which equals 6.75. Now add 6.75, which is the amount the waitress got tipped to 45, which equals 51.75$ total.

Answer:

Step-by-step explanation:

100