The organizers of a conference needs to prepare at least 200 notepads for the event

and have a budget of $160 for the notepads. A store sells notepads in packages of 24

and packages of 6.

24x + 6y > 200

This system of inequalities represent these constraints:

(16x + 5.40y = 160

Answers

Answer 1

The system of inequalities represent these constraints is 24x + 6y > 200 and 16x + 5.40y ≤ 160

Inequalities shows the non equal comparison of numbers or expressions.

Let x represent the number of packages of 24 notepads and y represent the number of packages of 6 notepads

Since the organizers need to do at least 200 notepads, hence:

24x + 6y > 200

Also, they have a budget of $160. Let us assume that each 24 package cost $16 and each 6 package cost $5.40, hence:

16x + 5.40y ≤ 160

The system of inequalities represent these constraints is 24x + 6y > 200 and 16x + 5.40y ≤ 160

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Related Questions

Helppp pleasee ........

Answers

y=3
to solve this you just substitute 4 in for x into the equation and solve for y. since negative 3 plus 7 is 4, y=4

Answer:

y=3

Step-by-step explanation:

y = - x +7

x=4

so y = -4 +7

y = 3

What is the diameter of a circular swimming pool with the radius of 8 feet

Answers

Solution: d=2r=2·8=16ft

Diameter when radius is given is just r*2 (radius*2). so the answer is 16

Which of the following represents 3 times the sum of 3
and 8?

Answers

Answer:

The expression would be (x + 3)(x - 8) and if we multiplied those together we would get x^2 - 5x - 24

Step-by-step explanation:

What is 2x-3y=12 on a graph?

Answers

The graph for 2x-3y=12 is

(13x2+9x-4)-(12x2-2x+6)
add or subtract the polynomials

Answers

Answer:

[tex]x^{2} +11x-10[/tex]

Step-by-step explanation:

[tex](13x^{2} +9x-4)-(12x^{2} -2x+6)[/tex]

Remove the brackets and multiply the minus sign through all the numbers in the second polynomial

[tex]13x^{2} +9x-4-12x^{2} +2x-6[/tex]

Rearrange in the highest order

[tex]13x^{2} -12x^{2} +9x+2x-4-6[/tex]

Simplify

[tex]x^{2} +11x-10[/tex]

What is a percentage multiplyer

Answers

answer- percentage multipliers are used to calculate a percentage of an amount or used to increase or decrease an amount by a percentage.

example- in order to find 12% of a number, you can multiply the number by a multiplier.
12%= 12/100= 0.12 ——-> this makes 0.12 the multiplier.

hope this helped :)) it can be kinda confusing to explain

if a/3=b/2, what are the following ratios?
a+b/b

Answers

Answer:

1

a+1

es posible q hayan doble respuesta

Step-by-step explanation:

Pasos  

a+b/b

Divide b entre b para obtener 1.

da

d

(a+1)

La derivada de un polinomio es la suma de las derivadas de sus términos. La derivada de cualquier término constante es 0. La derivada de ax  

n

 es nax  

n−1

.

a  

1−1

 

Resta 1 de 1.

a  

0

 

Para cualquier término t excepto 0, t  

0

=1.

1

a+b/b

Divide b entre b para obtener 1.

a+1

help - does anyone know how to calculate the gradient of this?

Answers

Answer:

To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction.

To calculate the gradient of a straight line we choose two points on the line. The difference in height y co-ordinates ➗ the difference with width x co-ordinates.
If the answer is positive value then the line is uphill in direction
If the answer is negative value then the line is downhill in direction

solve for y: 1/2(4y+6)=4-2(y-6)/3​

Answers

Answer:

y = 7/8

Step-by-step explanation:

12y+18=-4y+32

12y+18-18=-4y+32-18

12y=-4y+14

12y+4y=-4y+14+4y

16y=14

16y/16=14/16

y = 7/8

A house has increased in value by 3% each year. It was worth £150000 4 years ago. How much is it worth now? Give your answer to a sensible degree of accuracy. morto​

Answers

Answer: 350000

Step-by-step explanation: Hope this helps :) (if wrong please make sure next time add answer that can be picked from it better or if theres no answers maybe give some more detail?)

What is x squared = 100

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] {x}^{2} = 100[/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

your equation is this... x2 - 100

since you have no x term to the first power you can write 0x... like this

x2 + 0x - 100

Now, what numbers will add to 0 and multiply to -100

The numbers 10 and -10 will

10 + -10 = 0

10 * -10 = -100

therefore

(x - 10)(x + 10) is the way you factor it

Step-by-step explanation:

#3 A Firefighter needs to reach window that is 35 feet up. If the fire
department has a 37 foot ladder how far away from the building should
they put the bottom of the ladder?

Answers

Answer:

2 feet away from the building

Step-by-step explanation:

Hope this helps!

solutions: ( x = 2 & x = -2 ) ​

Answers

hmmmmhmmmmmmmmmmmmmmmmmmmmmm

Select the correct answer.
What is ?

A.

B.

C.

D.

Answers

Answer:

B. 7 1/2

Step-by-step explanation:

1. To solve this problem, we have to multiply 2 1/2 by the reciprocal of 1/3.

In other words, multiply 2 1/2 by the inverse of 1/3, which is 3.

2. (Solving)

[tex]2\frac{1}{2} *3[/tex] [tex]\frac{5}{2} *3[/tex] [tex]\frac{15}{2}[/tex] [tex]7\frac{1}{2}[/tex]

Therefore, the answer is B. 7 1/2.

Answer:

its B mark branli.est pls

Step-by-step explanation:

​​​​​​​If K = F( A + B ) , find “ A ” if F = 2 , B = 3 , K = 10

Answers

Answer:

The value of A is 2

Step-by-step explanation:

F = 2 , B = 3 , K = 10

K = F( A + B )

10 = 2(A + 3)

10 = 2A + 6

Now, Subtract 6 from each side we get,

10 - 6 = 2A + 6 - 6

4 = 2A

2A = 4

Now, divide both side by 2 we get,

2A/2 = 4/2

A = 2

Thus, The value of A is 2

FOR VERIFICATION ONLY :-

K = F( A + B )

10 = 2(2 + 3)

10 = 2(5)

10 = 10

L.H.S = R.H.S

Hence Proved!

-TheUnknownScientist 72

GUYYSSS HURRY I NEED HELP

Answers

Answer:

y≤3-3x

This is because the shaded region is facing down so its not facing Y and 3-3x is the equation of the line.

80% of __ is 16 help

Answers

Answer:

80% of 20 is 16.

Step-by-step explanation:

Hello darling, the answer is 20 ^^

can yall help me with the problem ?!

Answers

If I’m correct then it is 0.25

Answer:

Yeah its 0.25 Please mark brainlist

Step-by-step explanation:

What is the slope of this graph?
A-4
B 1/4
C-1/4
D 4

Answers

Answer:

The answer is D

Step-by-step explanation:

The line has 2 points: (-1;0) and (0;-4)

=> x1 = -1; x2 = 0 => x1 - x2 = -1 - 0 = -1

   y1 = 0; y2 = -4 => y1 - y2 = 0 - 4 = -4

=> slope = (y1 - y2)/(x1 - x2) = [tex]\frac{-4}{-1}[/tex] = 4 => D

Ms. Henderson's plant is 613 inches tall. It is 156 inches taller than Megan's plant.

How tall is Megan's plant?

Answers

Answer:

Megan's plant is 457 Inches tall

Step-by-step explanation:

Look at attached link

Answers

The answer is -29/16
Have a great day/night !

Answer:

[tex]-1\frac{13}{16}[/tex]

Step-by-step explanation:

Hello There!

First let's put our equation to get started

[tex]-3\frac{5}{8}\cdot\frac{1}{2}[/tex]

We can make this an improper fraction by multiplying the integer with the denominator.

Then you would add the total you got with multiplying the total that you got from the whole number and the denominator

DefinitionAn integer is colloquially defined as a number that can be written without a fractional component

[tex]-\frac{29}{8} \cdot\frac{1}{2}[/tex]

Now we can solve it

[tex]-29\cdot1=-29[/tex]

[tex]8\cdot2=16[/tex]

Now our equation is

[tex]-\frac{29}{16}[/tex]

Reduce

Definition - reduction refers to the rewriting of an expression into a simpler form. For example, the process of rewriting a fraction into one with the smallest whole-number denominator possible

Once we've reduced we will have our equation being

[tex]-1\frac{13}{16}[/tex]

Have a good day :) !

HELP PLSSS!!!
What is the equation of the line?
A: y=2x+2
B: y= 1/2x -4
C: y=1/2x + 2
D: y=2x-4
GIVING BRAINLY TO CORRECT ANSWER

Answers

Answer:

The answer is C

Step-by-step explanation:

Hope that helps ;)

The answer is D. 99.999%

A necklace is made from 2 purple pyramids and 12 yellow spheres. What is the ratio of pyramids to spheres in its simplest form?​

Answers

Answer:

1:6

Step-by-step explanation:

2:12

\/

1:6

Have a nice day!

     If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

1:6

Step-by-step explanation:

2/12 = 1/6

Answer ASAP please<3​

Answers

Step-by-step explanation:

So if you multiply both the numerator and denominator by the same number, you get the initial number. Your goal here is to get the same denominator so that you can solve the problem easily! hope it helped!

8/12-3/12=5/12 is correct in order to keep a common denominator :)

question 6 please! ❤️

Answers

Answer:

1. Correct

2. C.

3. C.

4. Correct

5. Incorrect. Answer: C. (The constant term is the term with no variable.)

6. C.

7. B.

8. A.

9. B.

10. B.

Find the slope of the line through the given points

Answers

m=4/1
slope is rise over run
-3+(6)=3
7-(24)=-17
so 24/6=8/2=4/1
so 4/1 is the slope

write y+7 = 2/3 (4x-6) in standard form using integers

Answers

9514 1404 393

Answer:

  8x -3y = 33

Step-by-step explanation:

Multiply by 3 to eliminate the fraction. Then rearrange to standard form.

  y +7 = 2/3(4x -6) . . . . . . . given

  3(y +7) = 2(4x -6) . . . . . . . multiply by 3

  3y +21 = 8x -12 . . . . . . . . eliminate parentheses

  33 = 8x -3y . . . . . . . . . . add 12-3y to both sides

  8x -3y = 33 . . . . . . . . . swap sides to put into standard form

_____

Standard form has mutually prime integer coefficients, the leading one being positive.

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer: A)10 B)14 C) 12 D)10

Step-by-step explanation:

You would cross multiply and divide! So for part A you would multiply 2x55 which equals 110 then divide that by 11 and get 10. You then repeat that for each part!


[tex] \frac{5}{8} < \frac{3}{8} x - \frac{1}{4} [/tex]
Solve the inequality and graph the solution.​

Answers

[tex] \sf \: \frac{5}{8} < \frac{3}{8} x - \frac{1}{4}[/tex]

[tex]\sf \longmapsto \frac{5}{8} < \frac{3}{8} x + \frac{ - 1}{4} [/tex]

[tex]\sf \longmapsto \frac{3}{8} x + \frac{ - 1}{4 } > \frac{5}{8} [/tex]

[tex]\sf \longmapsto \frac{3}{8} x + \frac{ -1 }{4} + \frac{ - 1}{4} > \frac{5}{8} + \frac{1}{4} [/tex]

[tex]\sf \longmapsto \frac{3}{8} x > \frac{7}{8} [/tex]

[tex]\sf \longmapsto( \frac{8}{3} ) \times (\frac{3}{8} x) > (\frac{8}{3} ) \times ( \frac{7}{8} )[/tex]

[tex]\sf \longmapsto \: x > \frac{7}{3} [/tex]

Graph attached

Write an equation in slope-intercept form for the line that has a slope of 5 and passes through the point (2, 30).
A. Determine the y-intercept
B. Write the equation of the line

Answers

Answer:

y-intercept = 20

y = 5x + 20

Step-by-step explanation:

Slope: 5

Point: (2,30)

y-intercept: 30 - (5)(2) = 30 - 10 = 20

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