A printing company sells small packages of personalized stationery for $7 each, medium
packages for $12 each, and large packages for $15 each. Yesterday, the company sold 9
packages of stationery, collecting a total of $86. Three times as many medium packages
were sold as large packages.

Can someone set up the question? I’m unsure of what the equations would be.

Answers

Answer 1

Step-by-step explanation:

what's the question ? it does not say.

I assume it is "how many packages of what size were sold ?"

x = number of small packages

y = number of medium packages sold

z = number of large packages sold

x + y + z = 9

7x + 12y + 15z = 86

y = 3z

these are the 3 equations we get out of the question.

we put the third equation into the other two :

x + 3z + z = x + 4z = 9

7x + 12×3z + 15z = 7x + 36z + 15z = 7x + 51z = 86

it of this first equation we get

x = -4z + 9

and putting that into the other equation :

7×(-4z + 9) + 51z = 86

-28z + 63 + 51z = 86

23z = 23

z = 1

y = 3z = 3×1 = 3

x = -4z + 9 = -4×1 + 9 = -4 + 9 = 5

so, 5 small, 3 medium and 1 large packages were sold.


Related Questions

9.
Identify the maximum value of the function y = −4x^2 − 24x + −36.

A. 3

B. 0

C. −36

D. −4

Answers

Answer:

B. 0

Step-by-step explanation:

Use the formula  

x  =  −  b /2 a

to find the maximum and minimum.

( − 3 , 0 )

I WILL GIVE BRAINLIEST

Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)

Answers

Answer:

Step-by-step explanation:

(a) 2x + 4 (x - 1) = 2 + 4x

 2x +4x - 4 = 2 + 4x

 6x -4 = 2 + 4x

 2x = 6

   x = 3  One solution

(b) 25 - x = 15 - (3x + 10)

 25 - x = 15 - 3x - 10

2x = 15 - 25 - 10

2x = -20

 x = -10  One solution

(c) 4x = 2x + 2x + 5 (x - x)

 4x = 4x + 5x - 5x

  0 = 0

No solutions

The picture attached is the problem

Answers

(-(-9)/2(1) , -((-9)^2 - 4(1)(18))/4(1))

(9/2 , -9/4)

So C is the answer

Help me please!
Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.

Complete the table below showing the length of the fence and the cost.

Answers

Answer:

?

Step-by-step explanation:

i did this problem before.......hmmmmmmmmmmmmm...

deffenition of polynomial function

Answers

Answer:

A polynomial function is a function such as a quadratic, a cubic,a quadratic, and so on, but to sum it up for you the answer is involving only non negative integer power of x.

4(7-8n)=-2n+8(6-5n) point slope from

Answers

Answer:

n = 2 i beleve

Step-by-step explanation:

i dont know if this is right but i did the math and im in 6th grade so im not really good with that stuff

<3 have a good day <3

you're so cool! I hope you have an awesome day!​

Answers

Answer:

The functions each have a positive Slope

a.)True, False

Step-by-step explanation:

Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4

Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2

These are both positive but 4 does not equal 2

a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0

When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.

Hope this helps and makes you have an Awesome Day!

With the following cards, {blue, green, yellow, blue, red, pink} LaTrice created a sample space. From her chart what is the probability of NOT drawing a red card at all?

Answers

The probability of her NOT drawing a red card are very likely

A machine depreciates by 1/4 of its value each year. If it cost $50,000 new,
what is its value after 8 years?

Answers

Step-by-step explanation:

The price of machine=$50000

depreciates rate (R )=1/4×100%

=25%

8. Twice the greatest of three consecutive integers is 10 more that the smallest integer. Find the 3 integers.

Answers

Answer:

6, 7, 8

Step-by-step explanation:

Let the smallest integer be x.

The next greater one is x + 1.

The greatest of the three is x + 2.

Now we use the sentence "Twice the greatest of three consecutive integers is 10 more that the smallest integer." to write an equation.

2(x + 2) = x + 10

Solve the equation for x to find the smallest of the integers.

2x + 4 = x + 10

x = 6

The next one is x + 1.

x + 1 = 7

The greatest is x + 2.

x + 2 = 8

Answer: 6, 7, 8

Answer:

6, 7, 8

Step-by-step explanation:

You can set up variables to represent each of these integers.

For example: x, x+1, and x+2. Next find out what x is by using what the question has told you.

Since twice the greatest of three consecutive integers is 10 more than the smallest integer, you can set up this equation: (x) + 10 = 2(x + 2). x represents the smallest integer while x + 2 represents the greatest integer.

Next solve for x using PEMDAS.

1. (x) + 10 = 2(x + 2)

2. x + 10 = 2x + 4

3. 2x - x = 10 - 4

4. x = 6

Now you can find the other integers by adding 1 and 2 to 6.

The correct answers should be 6, 7, 8.

solve for x

9 = x/12

Answers

Answer:

X=108

Step-by-step explanation:

Step-by-step explanation:

I have solved the answer in the attached image please ask if you have any query

Write in standard form 456 000

Answers

Answer: 4000,000 + 50,000 + 6,000  

Step-by-step explanation: just break apart the number and add

14^6 ÷ 14^4 please :)​

Answers

Answer: 196 :)

Step-by-step explanation:

Answer:

196

follow pemdas   (exponents first)

I have "Write an equation for each problem. Then solve the equation.

The opposite of a number is -9. What is the number? I know the opposite is 9 but I don't understand how to make this an equation

Answers

Answer:

9

Step-by-step explanation:

if the opposition of a number is equal to -9.

hence the expression above....

PLEASE HELP WILL MARK BRAINLIEST
Find the average rate of change for the function f(x) = 3^x + 4
Using the intervals of x=2 to x=5
Show ALL your work to receive credit

Answers

Answer:

78

Step-by-step explanation:

You use the formula

[tex] \frac{f(b) - f(a)}{b - a} [/tex]

with a=2 and b=5 plug it in to the formula

[tex] \frac{f(5) - f(2)}{5 - 2} [/tex]

find the values

[tex]f(5) = {3}^{5} + 4 = 247 [/tex]

[tex]f(2) = {3}^{2 } + 4 = 13[/tex]

put it all together

[tex] \frac{247 - 13}{5 - 2} = \frac{234}{3} = 78[/tex]

If a bag contains 10 blue marbles, 5 green Marbles, and 3 red marbles, What is the ratio of red marbles to all Marbles? be sure to simplify/ an equivalent ratio

Answers

Answer:

1 red marble to 6 total marbles

Step-by-step explanation:

There are 3 red marbles, and (10 + 5 + 3) total marbles.

There are 3 red marbles to 18 total marbles

therefore the ratio is 3 to 18 which can be simplified by dividing both sides of the ratio by 3

the ratio is 3/3 : 18/3 which is 1:6

I HAVE 4 MINS TILL THIS IS DUE PLEASE FOR THE LOVE OF GOD HELP ME

Answers

Answer:

Answer is graph A

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

5x+3y=-21 into slope intercept form

Answers

Answer:

y = 5/3x - 7

Step-by-step explanation:

5x + 3y = -21

5x - 3y = -21

-3y = -5x - 21

-y = -5/3x + 7

y = 5/3x - 7

Kayden Kohl

8th Grade Student

Answer:

Step-by-step explanation:

Y=5/3x -7

8.G.4: On the coordinate plane shown below, Figure 1 is transformed into Figure 2, which is transformed into Figure 3. Figure 1 and Figure 3 are similar by a sequence of transformations. Which statement describes the transformation of Figure 2 into Figure 3?

Answers

Answer:

A

Step-by-step explanation:

the anwers is A

Answer:

i think it b

Step-by-step explanation:

Find the lowest common multiple (LCM) of 18 and 21.

Answers

LMC (18,21) = 126

ok done. Thank to me :>

Brax has $12.00 to spend at the gift shop. He wants to buy a book for $7.50 and a dinosaur for $3.75. What change will Brax have after he purchases these items?
A. $0.25
B. $0.50
C. $1.75
D. $0.75

Answers

Step-by-step explanation:

when we buy something, we have to give money away from the amount we possess.

so,

12 - 7.5 - 3.75 = $0.75

so, he is left with the change of $0.75 after these two purchases.

2x + 6 = 6x - 22 how many solutions does this have

Answers

Answer:

This equation has one solution.

Step-by-step explanation:

2x + 6 = 6x - 22

=> 28 = 4x

=> x = 7

This equation has one solution.

Hoped this helped.

6p-9ps+4q-6qs

need help w this

Answers

Step-by-step explanation:

[tex]3p(2 - 3s) + 2q(2 - 3s) \\ (2 - 3s)(3p + 2q)[/tex]

When  x=3, the value of x^2-2 is?​

Answers

Answer:

7

Step-by-step explanation:

First you would square 3 which is nine. Then subrtact 2. The final answer is 7 .

Zoya sells insurance. She earns $10,25/hour and 8% commission on all her sales. Last week
she worked 35 hours and sold $2058 worth of insurance. How much did she eam all together?

Answers

Answer:

$523.39

Explanation:

10.25 x 35 hours= 358.75

2058 x 8/100 = 164.64

358.75 + 164.64 = 523.39

24.0370085031 as a whole number

Answers

Answer:

Two hundred and forty billions, three hundred and seventy millions, eighty five thousand and thirty one

Step-by-step explanation:

Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake? Explain your answers.

Answers

Answer:

30 cookies and 6 cupcakes

Step-by-step explanation:

5+1=6

5:1=6

?:?=36

36/6=6

5x6=30

1x6=6

30 cookies

6 cupcakes

4) Monica swam 4 laps in 15 minutes. At this rate, how many laps would she swim in 45 minutes?
O 8 laps
O 12 laps
O 15 laps
o 21 laps

Answers

Answer:

12 laps

Step-by-step explanation:

15÷4=3.75

45÷12=3.75

not sure whether it's true or not but at least I got the answer-

Answer : 12 laps

(4 laps) x 3 / (15 minutes)x 3
12 laps / 45 minutes

Fill in the missing values
in the empty boxes
based on the pattern.
Х
y
-5
17
-3
11
-1
5
1
3

Answers

x

ysalamst po

-17-30sanaol

PLEASE HELP ME I NEED SOME ASSISTANCE

Answers

Answer:

It is C

Step-by-step explanation:

Khan Academy I use it trust me

C.... it is clear on the pic btw hope this helps
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