Consider a scenario in which each person is an island. In this scenario, James and Kate engage in international trade with each other.

James is lactose intolerant and only produces cheese. Kate is caffeine intolerant and only produces coffee. Thus, both "countries" export all their production to the other. This month James produced 23
pounds of cheese and Kate 13
pounds of coffee. For simplicity, assume that they share a common currency (the US dollar) and that the price of a pound of coffee is $1, the same as a pound of cheese.

Who has a negative trade balance with the other country?

Answer:

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Step-by-step explanation:

Answer:

$2.5

Step-by-step explanation:

Multiply 4 friends by $6.75 and find the product.

Subtract $27 from $37

Divide 10 by 4

Answer: $2.5

Step-by-step explanation:

Multiply 4 friends by $6.75 and find the product.

Subtract $27 from $37

Divide 10 by 4

Answer:

81x² + 90x + 48y + 64

Step-by-step explanation:

(9x+8)² = (9x+8)(9x+8) = 9x*9x + 9x*8 + 8*9x + 8*8 = 81x² + 72x + 72x + 64

             = 81x² + 144x + 64

then:

(9x+8)² -54x+48y = (81x² + 144x + 64) -54x + 48y = 81x² + 90x + 48y + 64

Answer:

Step-by-step explanation:

500,000+0+900+60+9

[tex]\tt Step-by-step~explanation:[/tex]

To solve for n, we have to isolate n. To do so, we move all the terms that are not n to one side of the equation, and leave n on the other side.

[tex]\tt Steps:[/tex]

Equation: n + 5/16 = -1

Subtract 5/16 on both sides to bring it to the right side of the equation.

[tex]\tt n+5/16-5/16=-1-5/16\\\\n=-\frac{21}{16}~or~-1\frac{5}{16}[/tex]

[tex]\Large\boxed{\tt Our~final~answer:~n=-\frac{21}{16}~or~-1\frac{5}{16} }[/tex]

One possible solution from the graph is selling 3 bags of popcorn and 4 bags of pretzel

Inequality is the non equal comparison of two or more variables and numbers.

Let x represents the number of bags of popcorn purchased and y represents the number of pretzels purchased.

Hence:

8x + 5y ≤ 45   (1)

Also:

x + y > 6   (2)

One possible solution from the graph is (3, 4)

Find out more on inequality at: https://brainly.com/question/24372553

Answer:

(f - g)(3) = 6

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 2

g(x) = x + 1

Step 2: Find

Find (f - g)(x)

Find (f - g)(3)

Answer:

t = 8/5

Step-by-step explanation:

I'm assuming the equation given is the velocity of the particle

Derive the equation

[tex]5t^4 - 8t^3[/tex]

Set it equal to 0 & solve for t

[tex]0 = 5t^4 - 8t^3\\8t^3 = 5t^4\\8 = 5t\\\frac{8}{5} = t[/tex]

The value of time at which acceleration is zero is required.

The required value of [tex]t=1.2\ \text{s}[/tex]

The function of motion is

[tex]s=(t)^5-2t^4[/tex]

Differentiating with time we get velocity

[tex]s'=5t^4-8t^3[/tex]

Again differentiating with time we get acceleration

[tex]s''=20t^3-24t^2[/tex]

Now acceleration [tex]s''=0[/tex]

[tex]0=20t^3-24t^2\\\Rightarrow 20t^3=24t^2\\\Rightarrow t=\dfrac{24}{20}\\\Rightarrow t=1.2\ \text{s}[/tex]

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https://brainly.com/question/16053751

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 5x-2=x+8 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 5x-x=8+2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 4x=10 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {10}{4}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {5}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=2.5 [/tex]

Answer:

Age of Anna = x years

Age of Jane i.e. Anna's sister = (x-y) years

a, What was the sum of their ages two years ago?

Solution,

Age of Anna two years ago = (x-2) years

Age of Jane two years ago = (x-y-2) years

Sum of their ages = x - 2 + x-y-2 = 2x - y -4

b. What will be the sum of their ages in 3 years?

Solution,

We have,

Present age of Anna = x years

Present age of Jane = (x-y) years

So,

Age of Anna after 3 years = (x+3) years

Age of Jane after 3 years = (x-y+3) years

Therefore,

Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6

c. How old was Anna when Jane was born?

Solution,

Here,

According to question,

Jane is y years younger than Anna

So, Anna was y years when Jane was born.

[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]

Answer:

[tex]t=\dfrac{9\pm 3}{6}[/tex]

[tex]1\ \text{hour}[/tex]

[tex]2\ \text{hour}[/tex]

Step-by-step explanation:

s = Speed of Emile = 6 miles/hour

d = Distance traveled by Emile = [tex](9\pm 3)\ \text{miles}[/tex]

Time taken to find the minimum and maximum time Emile ran for is

[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{9\pm 3}{6}[/tex]

The required equation is [tex]t=\dfrac{9\pm 3}{6}[/tex]

The time taken is

[tex]t=\dfrac{9-3}{6}\\\Rightarrow t=\dfrac{6}{6}\\\Rightarrow t=1\ \text{hour}[/tex]

The minimum number of hours Emile runs is 1 hour.

[tex]t=\dfrac{9+3}{6}\\\Rightarrow t=\dfrac{12}{6}\\\Rightarrow t=2\ \text{hour}[/tex]

The maximum number of hours Emile runs is [tex]2\ \text{hour}[/tex].

Answer:

|6x – 9| = 3

1 Hour

2 Hours

Step-by-step explanation:

The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_|6x – 9|= 3_. For each practice run, the minimum number of hours Emile runs is__1 hour_ and the maximum number of hours he runs is _2 hour.

Answer:

you answered it

Step-by-step explanation:

you put no blah blah blah

Answer:

the snow per hour is

Step-by-step explanation:

um wait what chart theres no info to awnser this sorry you may delete this awnser :( but im letting ya know

Answer:

1.5 is the answer.

Step-by-step explanation:

Answer:

-9t

Step-by-step explanation:

-3t -6t

using multiplication of signs

-×-=+

so add the numbers because they have the same

coefficient

-3-6= -9

so

-3t-6t=9t

Answer: A (-2,5)

Step-by-step explanation:

Answer:

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

Step-by-step explanation:

Given equation of line is:

[tex]y = -3x+5[/tex]

General form of slope-intercept equation of line is:

[tex]y=mx+b[/tex]

Comparing both we get

m = -3

The slope of two parallel line sis equal.

Let m1 be the slope of line parallel to given line, then

m1 = -3

Putting in general form

[tex]y = -3x+b[/tex]

Putting (-4,5) in equation

[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]

Putting in the general form, we get

[tex]y = -3x-7[/tex]

Hence,

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

Answer:

he can only serve 2

Step-by-step explanation: since  3.5 plus 3.5 is 7.0 if you add one more it turns to 7.0 plus 3.5  10.5 so the greatest he can serve is two people

Answer:

I am not certain but it's either the last one or second to last my bet is -4<x<4 but you can try I am not certain tho

Answer:

154 mins or 2 hour and 34 mins

Step-by-step explanation:

Step 1:

22 : 4          Ratio

Step 2:

22 : 4 = x : 28          Equation

Step 3:

4x = 616       Multiply

Step 4:

x = 616 ÷ 4        Divide

Answer:

x = 154

Hope This Helps :)

Answer:

.2427

Step-by-step explanation:

If you don't need to show your work:

TI84 calculator:[2nd][vars][normalcdf][lower:2000][upper:2500][μ:1800][σ:300}[enter][enter]

Answer:

Step-by-step explanation:

Given the area of the square as A = 98ft²

The side length of the square will be equivalent to the diameter of the circle.

First we need to get the length of the square.

Area of a square = L^2

98 = L²

L = √98

L = 9.89 ft

Hence the diameter of the circle is 9.89 ft

radius = diameter/2

radius = 9.89/2

radius ≈ 4.95 feet

Hence the radius of the circle is approximately 4.95 feet

Answer:

Step-by-step explanation:

Which tables give sets of values that satisfy the linear function y = 2x – 6

Answer:

IT IS C I BET YOU 6 AND 8

Step-by-step explanation:

The frequency of the wave is equal to: C. 0.125 Hertz

Given the following data:

To determine the frequency of the wave:

A wave can be defined as a disturbance in a medium that progressively transports energy from a source location to another location without the transportation of matter.

Some of the characteristics associated with a wave are:

Mathematically, the frequency of a wave is given by the formula:

[tex]Frequency = \frac{1}{Time\;period}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Frequency = \frac{1}{8}[/tex]

Frequency = 0.125 Hertz

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Answer:

What do you need to know?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let 'x' be the length of a rectangle

As the width of a rectangle is 5 units less than the length.

so

width of rectangle will be = w = x - 5 units

Area = 150 square units

Using the formula

Area = length × width

[tex]150=\left(x\right)\left(x-5\right)[/tex]

[tex]150=x^2-5x[/tex]

[tex]x^2-5x=150[/tex]

Subtract 50 from both sides

[tex]x^2-5x-150=150-150[/tex]

[tex]x^2-5x-150=0[/tex]

[tex]\left(x+10\right)\left(x-15\right)=0[/tex]

if

[tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+10=0\quad \mathrm{or}\quad \:x-15=0[/tex]

[tex]x=-10,\:x=15[/tex]

As length can not be negative. so

x = 15 units

Hence,

The length = x = 15 units

The width = x-5 = 15-5 = 10 units

Answer:

Data

Step-by-step explanation: