21. Jim loves nuts. He plans to spend at most $24 to buy cashews and peanuts for after work
snacks. The Nut Shoppe sells peanuts for $3 a pound and cashews for $5 a pound. If Jim needs
to have at least 5 pounds of nuts for the week, how many of each type can he buy?

Answer:

x = 10

Step-by-step explanation:

Simplifying

5x + -6 = 44

Reorder the terms:

-6 + 5x = 44

Solving

-6 + 5x = 44

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 5x = 44 + 6

Combine like terms: -6 + 6 = 0

0 + 5x = 44 + 6

5x = 44 + 6

Combine like terms: 44 + 6 = 50

5x = 50

Divide each side by '5'.

x = 10

Simplifying

x = 10

Answer:

Growing at a rate of 3% per year : 200,000 x 3% =  6,000 population/ year

The population of this city in 21 years : 200,000 + ( 6,000 x 21 ) = 326,000 p

Step-by-step explanation:

The population of the city after 21 years is given by the exponential equation A = 372,059

The exponential growth rate is the value which increases exponentially over a period of time and

x ( t ) = x₀ ( 1 + r )ⁿ

x ( t ) is the growth at time t

x₀ is the initial value growth at time t = 0.

r is the growth rate expressed as percentage when r > 0

And , the decay rate when r < 0 , in percentage

t is the time in discrete intervals and selected time units

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the initial population of the city be x₀ = 200,000

Now , let the number of years be n = 21 years

Let the percentage of increase be r = 3 %

And , exponential growth formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( 21 ) = 200,000 ( 1 + 0.03 )²¹

On simplifying the equation , we get

x ( 21 ) = 200,00 ( 1.03 )²¹

x ( 21 ) = 200,000 ( 1.86029457 )

On further simplification , we get

x ( 21 ) = 3,72,058.914

On rounding the population , we get

x ( 21 ) = 372,059

Therefore , the value of A is 372,059

Hence , the exponential growth of the population after 21 years is 372,059

To learn more about exponential growth factor click :

https://brainly.com/question/13674608

#SPJ2

Answer:

6.0 × 10⁰

Step-by-step explanation:

599 has 3 significant figures

Answer:

Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:

(1) 120x + 200y = 2150

(2) 100x + 300y = 2625

Solving the system of equations above we have 2 solutions:

x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25

Step-by-step explanation:

Answer:

B=59

Step-by-step explanation:

59 is across from B so they are equal.

Answer:

b = 59

Step-by-step explanation:

b is located right across from the 59 degrees, and they are separated by the same 2 lines that make up their angles. Therefore causing them to have the same measurement, making b = 59

Answer:

A:16

Step-by-step explanation:

hope this helps you i am taking the test now LOL

plz mark me brainlist i think its called

Answer:

Its 16

Step-by-step explanation:

Because 180 - 109 is 71, and 71 plus 90 is 164, and 180 - 164 is 16 therefore that is your missing angle.

Answer:

11.5

Step-by-step explanation:

We solve using :

Pythagoras Theorem

LM² = MN² + NL²

NL² = LM² - MN²

NL = √LM² - MN²

NL = √14² - 8²

NL =  √(132)

NL = 11.489125293

NL = 11.5

Therefore, the length of NL = 11.5

Answer:

Step-by-step explanation:

3n+4<19

3n<19-4

3n<15

n<5

[tex]\frac{10n}{n+16 } >1\\either~ both~ the~ denominator ~ and ~ numerator ~are ~positive ~ or ~both ~are ~ negative.\\let~ 10 n>0 \\n+16 >0\\n>-16\\again ~10 n>n+16\\9n>16\\n>\frac{16}{9} ~...(1)\\and ~\\10n<0,n<0\\and ~n+16 <0\\n<-16\\again\\10n<n+16\\9n<16\\n<\frac{16}{9} \\combining\\n<-16[/tex]

combining

(-∞,-16)U(16/9,5)

Answer:

n = 3,4,5

Step-by-step explanation:

3n + 4 < 19

3n ≤ 15

n ≤ 5

10n/n+16 > 1

10n > n²+16

-n²+10n-16

(-n+2)(n-8)

n = 2 or n = 8

2 < n < 8

So 2<n≤5 = 3,4,5

Answer:

A= ((sorry i didn't see this one)) B= -1 C= (2) equal groups

Answer:x=3

Step-by-step explanation:

2x=7-1

2x=6

divided by 2 on both sides

x=3

Answer:

Yes, this sample is valid.

Step-by-step explanation:

This sample is valid  because it surveys a random sample of the 750 students.  

Let me know if this helps!

Answer: Like I said it is either A or B

Answer[tex]Answer is A[/tex]: A      28/2

Step-by-step explanation: Took the test.

Answer:

27 milligrams

Step-by-step explanation:

If in one mililiter are 3 milligrams, you just multiply 9 times 3 to get the answer, which is 27

Answer:

2x^2=-10x +12

2x²+10x-12=0

2(x²+5x-6)=0

x²+6x-x-6=0/2

x(x+6)-1(x+6)=0

(x+6)(x-1)=0

either

x=-6

x=1

-0.5

Step-by-step explanation:

um bc it is the answer

Answer: C= 10

Step-by-step explanation:

Answer:

c= 10 miles

Step-by-step explanation:

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

((Square root))100 = c

Answer:

(-x-y)

Step-by-step explanation:

Given data

First expression = ( 3x + y)

Second expression = (-4x -2y)

Add the two expresssion

= ( 3x + y)+ (-4x -2y)

Open bracket

=3x+y-4x-2y

collect like terms

=3x-4x+y-2y

=-x-y

Hence the result is (-x-y)

Answer:

Step-by-step explanation:

do the thing times 2

Answer:

65 degrees

Step-by-step explanation:

Triangle = 180 degrees

Straight line = 180 degrees

180 - 145 = 35

35 + 80 = 115

180 - 115 = 65 degrees

Answer:

AAS

Step-by-step explanation:

have a good day:) .....

Answer:

The slope is 2.

Step-by-step explanation:

DIVIDE 13-5/2+2

That gives you 8/4 which equals 2.

Answer:

x ≈ 68.8°

Step-by-step explanation:

The length of the arc of a sector is calculated as

arc = circumference × fraction of circle , that is

6 = 2πr × [tex]\frac{x}{360}[/tex] = 2π × 5 × [tex]\frac{x}{360}[/tex]  = 10π × [tex]\frac{x}{360}[/tex] ( multiply both sides by 360 )

2160 = 10πx ( divide both sides by 10π )

68.7549... = x , that is

x ≈ 68.8° ( to 1 dec. place )

Step-by-step explanation:

the answer would be 6 meters

btw the origin is known as (0,0)

hope this helps bro<33

Answed equally 14=5173=*71792 divided by 1572936219§

Step-by-step explanation:

Answer:

Step-by-step explanation:

<5=75

<11=75

<16=65

Answer:

5 hardcover books

Step-by-step explanation:

x + y = 8 ↔ Assume x for hardcover books and y for paperback cover

4x + 2y = 26 ↔ Total cost of 8 books is $26

-2x - 2y = -16 ↔ Multiply Equation 1 by -2 so that the coefficients of y is opposite

2x = 10 ↔ Add the two equations to eliminate y

x = 5 ↔ Divide each side by 2

Hope this helps!! :)

Brainlest Pleasee

Answer:

Se você sabe inglês, não diga em outro idioma, por favor

Step-by-step explanation:

Answer:

Equation of the line is y = 3x +1

Step-by-step explanation: