You are shopping for school supplies and want to decide where you should buy pencils from. SupplyCo sells a 10 pack of pencils for $0.95. SchoolShop sells a 10 pack of pencils for $1.45 but you have a $3.00 coupon. How many packs of pencils would you have to buy for the prices to be the same at each store?

Answers

Answer 1

Answer:

120 (60 from each store)

Step-by-step explanation:

Given that:

Price for 10 pack of pencils at SupplyCo = $0.95

Price for 10 pack of pencils at SchoolShop = $1.45

Discount coupon at SchoolShop = $3.00

Let the number of packs of pencils bought = [tex]2x[/tex] (in pack of 10)

Then [tex]x[/tex] will be the number of packs of 10 bought at each store.

Therefore, price at SupplyCo for [tex]x[/tex] packs (in pack of 10) = [tex]0.95x[/tex]

And price at SchoolShop for [tex]x[/tex] packs (in pack of 10) = [tex]1.45x-3.00[/tex] (because there is a coupon of $3.00)

As per question statement, price at both the stores is same:

[tex]0.95x=1.44x-3\\\Rightarrow 0.5x=3\\\Rightarrow x=6[/tex]

Therefore, number of packs bought = [tex]2x\times 10 = 2\times 6\times 10 =\bold{120}[/tex] (60 from each store)


Related Questions

The sum of three numbers is 855. One of the numbers, x, is 50% more than the sum of the other two numbers. What is the value of x?

Answers

Answer:

The value of x = 513

Step-by-step explanation:

Let x, y, and z be the three numbers

Given

[tex]x+y+z=855[/tex]

Assuming x be the number which is 50% more than the sum of the other two numbers.

i.e.

(150)% of (y+z) = 1.5(y+z)

                y + z = x/1.5

As we know that

[tex]x + y + z = 855[/tex]

substituting y + z = x / 1.5 in the equation

[tex]x+\frac{x}{1.5}=855[/tex]

Multiply both sides by 1.5

[tex]x\cdot \:1.5+\frac{x}{1.5}\cdot \:1.5=855\cdot \:1.5[/tex]

[tex]1.5x+x=1282.5[/tex]

[tex]2.5x=1282.5[/tex]

Divide both sides by 2.5

[tex]\frac{2.5x}{2.5}=\frac{1282.5}{2.5}[/tex]

[tex]x = 513[/tex]

Therefore, the value of x = 513

Use the critical points to determine the test regions. Which are possible test points? –5 –4 –3.5 –3 –2.5 –2 0 5

Answers

Answer:

-5, -3.5, -2.5, 0, 5

Step-by-step explanation:

Answer:

-5, -3.5, -2.5, 0, 5

Step-by-step explanation:

Just got it right on the assignment

Edg 2021

I need HELP!!!!!!!!!!!! I will make you Brainilest
Im giving you 15 points please help itis due at midnight CT
A letter is chosen from the word ROCK and a standard die is
rolled.

P(a consonant or an odd
number)

Answers

Answer:

Idek

Step-by-step explanation:

ask someone or like wait for someone to Answer.Pacific them or

WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER
What is the solution (a, b) to this system of linear equations?

3a+6b=45

2a-2b=-12
(-27, 6)
(-1, 7)
(1, 7)
(27, -6)

Answers

Answer:

I dont know why my answer was removed nor why i was warned for it. But the answer is C

Step-by-step explanation:

Answer: 1, 7 is he answer I just took the quiz and got it correct.

Step-by-step explanation:

The perimeter of a rectangle is 46.The length is 7 less than 4 times the width. What are the dimensions of the garden?

Answers

answer= 102

Step-by-step explanation:

Given,

Perimeter=46

Let, breadth=X

Then, length = 4X-7

Now,

Perimeter= 2(l+b)

46 = 2(4X-7+X)

46 = 2(5X-7)

(46)÷2 = 5X-7

23+7 = 5X

30 = 5X

30÷5 = X

:-X = 6

Also,

length = 4×6-7 = 17

breadth = 6

Then,

Dimensions = l×b

= 17×6

= 102

Answer:

the width = 6 unitsthe length = 17 units

Step-by-step explanation:

Let 'w' be the width

The length is 7 less than 4 times the width.

so the length = 4w - 7

The formula of the Perimeter is

Perimeter = 2(length + width)

         46   = 2(4w - 7+ w)

        46    = 2(5w- 7)

        46    = 10w-14

      46+14 = 10w

         60 = 10w

          w = 6

Hence,

the width = 6 unitsthe length = 4w - 7 = 4(6)-7= 24-7=17 units

can someone give the answer and explain cause im confused. will try to mark brainliest​

Answers

Answer:

bro got you

x>-6

Step-by-step explanation:

Answer:

 [tex]\bold{x}[/tex] [tex]\bold{-6}[/tex]

Solution Steps:

______________________________

1.) Add 7 to both sides:[tex]-7+7=[/tex] Cancels Out[tex]11+7=18[/tex]

  - We have to get rid of both numbers on each side, so to do so, we do the opposite of what we see: Since we have a negative 7, we add 7 on each side.

Equation at the end of Step 1:

[tex]-3x[/tex] ≤ [tex]18[/tex]

2.) Divide both sides by -3:[tex]-3[/tex] ÷ [tex]-3=[/tex] Cancels Out[tex]18[/tex] ÷ [tex]-3=-6[/tex]

 -  We have to get rid of numbers on each side, so do to so, we do the opposite of what we see. Since we have a negative 3 being multiplied, we divide by -3 instead.  

 - Since -3 is negative, the inequality direction is changed as well.

Equation at the end of Step 2:

[tex]x[/tex] ≥ [tex]-6[/tex]

______________________________

Miguel is calculating the slope of a line of best-fit in the scatterplot below. On a graph, points Q and V would be on the trend line. Which pair of points would be best for Miguel to use? P and W Q and V R and U S and T

Answers

Answer:

The answer is B Q and V

Step-by-step explanation:

Answer:

The answer is B Q and V

Step-by-step explanation:

I did it

A linear function contains the following points. X - 4 | 4 0 5 What are the slope and y-intercept of this function?

A. The slope is 4. The y-intercept is (5.

B. The slope is The y-intercept is (0,5).

C. The slope is - 1 Tthe y-intercept is (0,5).

D. The slope is -4. The y-intercept is (0,5).​

Answers

Answer:

The answer is B.

Step-by-step explanation:

when x is 0, y is 5. So that is the yintercept and 4-5=-1 -4-0=-4 do 1/4

D is your answer to the question

one-third of a number, decreased by 36, is at most 22 find the number

Answers

Answer: x = 174, and x < 174.

Let the number be x.

Then 1/3 of the number = 1/3*x

1/3*x is decreased by 36 is the same as 1/3*x - 36

If 1/3*x - 36 is at most 22, we can write:

1/3*x - 36 is less than or equal to 22.

Therefore,

1/3*x - 36 <= 22

1/3*x - 36 = 22 (i), and 1/3*x - 36 < 22 (ii)

From (i):

1/3*x = 22 + 36 = 58, or x = 58 * 3 = 174.

From (ii):

1/3*x < 22 + 36 = 58, or x < 58 * 3 , or x < 174.

Therefore,

x = 174, and x < 174.

Please help- Solve 2x - 11 = k for x.
O A. x = 2k + 22
B.
k+11
2
O C.
c. x= +11
O D. x = k + 9

Answers

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[tex]2x - 11 = k[/tex]

Add sides 11

[tex]2x - 11 + 11 = k + 11[/tex]

Simplification

[tex]2x = k + 11[/tex]

Divide sides by 2

[tex] \frac{2}{2} x = \frac{k + 11}{2} \\ [/tex]

[tex]x = \frac{k + 11}{2} \\ [/tex]

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Thus the correct answer is (( B )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Statement: "Two triangles with corresponding congruent angles are congruent." Is this statement true or false? *

Answers

Answer

FALSE

Step-by-step explanation:

A pair of socks costs $6.95 but they are on sale for 20% off. What is the sale price?​

Answers

Answer: it would take off would be $1.39 so you would subtract $6.95-$1.39 would be $5.56

Step-by-step explanation:

Answer:

$5.56

Step-by-step explanation:

Compare the two functions and determine which one has the greater rate of change.
Function 1: y = x + 6
Function 2: y = 2x + 1

PLZSSSSS HELP MEEEEE I WILL GIVE BRAINLY

Answers

Answer:

I hope it help, it can be wrong, Im so sorry!

Step-by-step explanation:

1.

y=x+6

y=x6

2.

y=2x+1

y=x.2+1

y=x.2

y=2

NEED ANSWERS ASAP DUE AT 12

Answers

Answer: Natural: G ; Whole: B ; Integer: H; Rational: A, D, F, J, I, E; Irrational: C, K

Step-by-step explanation:

Natural numbers- Counting numbers (1, 2, 3, 4, etc.)

Whole numbers- Counting numbers and 0

Integers- Counting numbers, 0, and their opposites

Rational numbers- any number that can be written as a fraction in which 0 isn't the denominator

Irrational numbers- all other numbers

Express the ratio below in its simplest form.
5:15:20

Answers

1:3:4

You divide each term by a highest common factor which in this case, is 5

Answer:

1:3:4

Step-by-step explanation:

[tex]\frac{5}{5}: \frac{15}{5}: \frac{20}{5}=1:3:4[/tex]

.....................................

Answers

9514 1404 393

Answer:

  7 +11·i

Step-by-step explanation:

  √-121 = (√-1)(√121) = i·11

So, 7 +√-121 = 7 +11·i

HELLOPPPPPPPP ASAPPPPPP PLEASEEEE

Answers

Answer:

A.

Step-by-step explanation:

7.55 x 8 and 8 x 7.2​

Answers

60.4 and 57.6. Use a calculator lol

A hockey puck with a mass of 0.17 kg is traveling to the right along the ice at 15 m/s it strikes a second hockey puck with a mass 0.11 kg the first hockey puck comes to rest after the collision of conservation of momentum holds what is the total final momentum of the system (round your answer to the nearest tenth

Answers

Answer:

Conservation of momentum means that the final momentum must be the same as the initial momentum, where the momentum is defined as:

P = m*v

where m is mass, and v is velocity.

First, let's calculate Pi, the initial momentum.

Pi = Pi₁ + Pi₂

Where the subscripts 1 and 2 refer to each puck:

Pi₁ = 0.17kg*15m/s = 2.55 (kg*m/s)

Pi₂ = 0.11kg*0m/s = 0 (kg*m/s)

Pi = 2.55 (kg*m/s) + 0 (kg*m/s) = 2.55 (kg*m/s)

Now, after the collision we have that:

The first puck comes to rest, then:

Pf₁ = 0.17kg*0m/s =  0 (kg*m/s)

And the second puck will have a velocity v, that we want to find:

Pf₂ = 0.11kg*v

Pf = Pf₁ + Pf₂ = 0 (kg*m/s) +  0.11kg*v =  0.11kg*v

And by conservation of momentum we have:

Pi = Pf

2.55 (kg*m/s) = 0.11kg*v

We divide in both sides by 0.11kg

2.55 (kg*m/s)/0.11kg = v

23.2 m/s = v

And from this, the final momentum will be the same as the initial:

Pf = 23.2m/s*0.11kg = 2.55 (kg*m/s)

The total final momentum of the system is 2.55 Kg m/sec and this can be determined by conserving the momentum.

Given :

A hockey puck with a mass of 0.17 kg is traveling to the right along the ice at 15 m/s it strikes a second hockey puck with a mass of 0.11 kg the first hockey puck comes to rest after the collision of conservation of momentum holds.

The formula of the momentum is given below:

P = mv

Now, let conserve the moment, that is:

[tex]\rm P_i=P_f[/tex]   --- (1)

where [tex]\rm P_i[/tex] is the initial momentum and [tex]\rm P_f[/tex] is the final momentum.

First, determine the initial momentum.

[tex]\rm P_i = 0.17\times 15 + 0.11\times 0= 2.55\;Kg\;m/sec[/tex]

Now, determine the final momentum.

[tex]\rm P_f = 0.17\times 0+ 0.11\times v = 0.11v\;Kg\;m/sec[/tex]

Now. substitute the value of [tex]\rm P_i[/tex] and [tex]\rm P_f[/tex] in the equation (1).

[tex]\rm 2.55=0.11v[/tex]

v = 23.18 m/sec

So, the final momentum can be calculated as:

[tex]\rm P = 23.18 \times 0.11[/tex]

P = 2.55 Kg m/sec

For more information, refer to the link given below:

https://brainly.com/question/4956182

Can someone answer this for me please and ASAP!

Answers

I believe it is 8 units.
The answer is 8 units

Need help asap with geometry!

Answers

Answer: C

Step-by-step explanation:

Obtuse angles are greater than 90 degrees

With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What
percentage was the discount?
Step1: Find the amount of discount
Step2: Find the amount of discount as percentage

Answers

Answer:

$12, 14%

Step-by-step explanation:

Find the amount of discount:

84 - 72 = 12

Find the amount of discount as a percentage

12 / 84 = 0.1428

Wow people are smart :o

Write your answer in simplest form 7/6÷2​

Answers

Answer:

7/12

Step-by-step explanation:

7/6÷2

7/6÷2/1

7/6*1/2

7/12

Answer:

7/12

Step-by-step explanation:

7/6 ÷ 2

7/6 * 1/2

=7/12

Use inductive reasoning to predict the next number in the pattern: 832, 208, 52...

A.) 13
B.) -228
C.) -26
D.) 26

Answers

Answer:

A) 13 i think

Step-by-step explanation:

832 , 208 , 52

The difference between 832 and 208 is 624 and then the difference between 208 and 52 is 156. If we check the relation between 624 and 156 which is 624/4 = 156 so then if we divide 156 by 4 we get 39 and then subtract 39 from 52 we get 13.

Answer:

13

Step-by-step explanation:

Inductive reasoning is collecting data to make a conjecture.

Explain the difference between a conductor and an insulator. please I need help

Answers

Answer:

Conductors are materials that provide easy paths for the flow of electrons. Conductors are generally made from materials that have large, heavy atoms. And insulators are the things that have very large resistance to the flow of electric current.

Hope this helps!!

Solve this equation
y= -3x +3

Answers

Answer:

What do you want me to do? It is already solved

Step-by-step explanation:

The sum of two numbers is 11 and their difference is 9

Answers

Answer:

10 and 1

Step-by-step explanation:

10+1=11 and the difference of 10-1 is 9

rita drew the pre image of circle K with a dashed line and it's image after dilation with a solid line. which shows the the dilation of circle K with a scale factor of two ​

Answers

x=\frac{3}{4} step-by-step explanation: we are given -6+2x=6x-9 since, we have to isolate x on anyone side so, we can move all x terms on one side subtract both sides by 2x -6+2x-2x=6x-9-2x -6=4x-9 add both sides by 9 -6+9=4x-9+9 3=4x divide both sides by 4 we get x=\frac{3}{4}x=3/4

Answer:

C

Step-by-step explanation:

Cant really give one, im just reviewing.

Please hurry I am being timed please help!!

Solve.

f/10 = 16

A. 160
B. 6
C. 26
D. -160

Sorry if this is easy, I'm bad at math :(

Answers

Answer: I think it's 160

Step-by-step explanation:

on weekends a movie ticket costs $10.50. form an inequality and solve it to find the maximum umber of tickets kate can buy with $205

Answers

Answer:

kate can buy 20 tickets

Step-by-step explanation:

hope this helps

i am not sure about the answer

Answer:
10.50x ≤ 205
The maximum number of tickets, x, would be 19.
Step-by-step explanation:
Given,
The cost of one ticket = $ 10.50,
The cost of x tickets = 10.50x dollars,
Since, the total cost can not exceed $ 205,
⇒ 10.50x ≤ 205
∵ 10.50 > 0 thus, when we multiply both sides by 1/10.50 the inequality sign will not change,
⇒ x ≤ ≈ 19.52
Hence, the maximum number of tickets would be 19.
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