Andre and Jillian were shopping at the same grocery store for bottles of sports drinks for their kickball teams. Andre bought 3
packs of bottled drinks, plus 11 single bottles. Jillian purchased 5 packs, plus 3 singles. Andre and Jillian discovered that they
had purchased the same number of bottles. How many bottles were in each of the packs? (All of the packs have the same
number of bottles.)

Answers

Answer 1

Answer:

x = 4

Step-by-step explanation:

The equation comes out to be:

3x + 11 = 5x + 3

Move the variables to the left-hand side and change its sign

And move the constant to the right-hand side and change its sign:

3x - 5x = 3 - 11

Combine like terms to get:

-2x = -8

Isolate x by dividing -2 on both sides:

-2x/-2 = -8/-2

x = 4

Answer 2

The number of bottles in the pack is 4.

Expressions that represent the total bottles bought

The expression that can be used to represent the number of bottles bought by Andre is 3p + 11.

The expression that can be used to represent the number of bottles bought by Jillian is 5p + 3

Where:

p = number of bottles in the packs bought

Determining the number of bottles in the pack

If both Andre and Jillian have the same number of bottles, their expressions would be equal

3p + 11 = 5p + 3

In order to determine the value of p, take the following steps:

Combine similar terms

5p - 3p = 11 - 3

2p = 8

Divide both sides of the equation by 2

p = 4

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Related Questions

Help me! Greatly appreciated if you do, I really need this done.

Answers

Answer:

Hope this helps :)

Step-by-step explanation:

Median: 58

Lower Quartile: 55

Upper Quartile: 63

Minimum: 46

Maximum: 66

How do your find area from radius

Answers

Answer:

A= [tex]R2[/tex] [tex]\pi[/tex]

Step-by-step explanation:

Find the product.
- 3y5(3y² + 9y-6)
- 3y5(3y² + 9y-6)=
(Simplify your answer.)
can someone help me out?

Answers

Answer:

-9y⁷ - 27y⁶ + 18y⁵

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/CoefficientsExponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]

Step-by-step explanation:

Step 1: Define

-3y⁵(3y² + 9y - 6)

Step 2: Expand

[Distributive Property] Distribute -3y⁵:                                                            -9y⁷ - 27y⁶ + 18y⁵

how many vertices does a 3d cylinder has​

Answers

Answer:

Image result for how many vertices does a 3d cylinder has​

0 vertices

The next 3D shape is called a cylinder. A cylinder has: 3 faces, 2 edges and 0 vertices.

Step-by-step explanation:

PLSSSSSSSSSSSSSSS help me ASAP​

Answers

Answer:

Use calculator soup while i was in college i used it and it helped SOOO much

Step-by-step explanation:

How many bases does a triangular prism have?
(if you explain I will give brainlyist)

Answers

Answer:

there are two bases and three sides/faces.

6x − 4 ; 2(3x − 8)

A Equivalent
B Not Equivalent
PLEASEEEEE ASAP I AM TAKING A MATH TEST

Answers

Not equivalent

Good luck on your math test

Answer:

Not Equivalent

Step-by-step explanation:

Good Luck If you need any other answers just comment and post your question

Answer it fast please​

Answers

Answer:

[tex]\dfrac{3}{5}[/tex]

Step-by-step explanation:

We need to find the value of the following expression i.e.

[tex]\dfrac{(\dfrac{3}{5})^3}{(\dfrac{3}{5})^2}[/tex]

We know that,

[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{(\dfrac{3}{5})^3}{(\dfrac{3}{5})^2}=(\dfrac{3}{5})^3\times (\dfrac{5}{3})^2\\\\=\dfrac{3}{5}[/tex]

So, the value of the given expression is equal to [tex]\dfrac{3}{5}[/tex].

Help me solve this pls

Answers

I think the answer is b

Tony gains 14 ounces every month. How many pounds does he gain in 13 months?

Answers

He gains 11.3 pounds.

Explanation:
1 pound is equal to 16 ounces
14 ounces times 13 months is 182 ounces
182 ounces divided by 16 is 11.375 or 11.3lbs

Answer:

i think 40

Step-by-step explanation:

You might need:
Calculator
Minenhle registers vehicles for the Department of Transportation. Leased vehicles make up 6% of the vehicles
she registers. Let V be the number of vehicles Minenhle registers in a day until she first registers a leased
vehicle. Assume the status of each vehicle is independent.
Find the probability that Minenhle registers a leased vehicle within the first 3 vehicles of the day.
You may round your answer to the nearest hundredth.
P(V <3) =

Answers

Answer:

0.17

Step-by-step explanation:

Solve for the variable:

e + (3/8) = 2

Answers

e= 13/8 is the answer


If the price of a book is decreased by 5% to $19, what was the original price?

Answers

Answer: $20

Step-by-step explanation:

If you take 1/20, it is 5%

Now take 5% off of $20 and it is $19

63:27 is equivalent to?

Answers

Answer:

7:3

Step-by-step explanation:

63:27

Divide both sides by 9

63 ÷ 9 : 27 ÷ 9

7:3

And you cannot simplify it anymore.

Hope this helped!

Have a superclaifragilisticexpialidocious day!

Answer:

7/3

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

67:27 gcd: 9

63 ÷ 9

27 ÷ 9

Reduced fraction:

7/3

Therefore, 63/27 simplified to lowest terms is 7/3.

A garden table and a bench cost $618 combined. The garden table costs $82 less than the bench. What is the cost of the bench?

Answers

Answer:

268

Step-by-step explanation:

If a  garden table and a bench cost $618 combined. The garden table costs $82 less than the bench then the cost of the bench is $350.

Let's denote the cost of the bench as "x."

According to the given information, the garden table costs $82 less than the bench, so its cost can be represented as "x - 82."

The total cost of the garden table and bench combined is $618. Therefore, we can set up the following equation:

x + (x - 82) = 618

Simplifying the equation:

2x - 82 = 618

Next, we isolate the term with "x" by adding 82 to both sides of the equation:

2x - 82 + 82 = 618 + 82

2x = 700

Divide both sides by 2:

x=350

Therefore, the cost of the bench is $350.

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Ms. Ortiz borrows $2.50 every day for a school week (5 days) to buy a bacon egg and cheese. How much does
she owe by the end of the week? (Use negative numbers to show how much she owes

It’s multiplying signed numbers

Answers

Answer: She will owe $12.50 at the end of the week, and her account balance will be -12.50 dollars.

Step-by-step explanation:

A school week is 5 days. If Ms. Ortiz borrows $2.50 every day, then we will have to multiply 2.50 by 5 to find how much Ms. Ortiz owes at the end of the week.

2.50 x 5 = 12.5, or $12.50.

Therefore, Ms. Ortiz owes $12.50 at the end of the week, and her account balance will be -12.50.

There is a box of colored marbles on the countertop. There are 24 blue, 16 green, and 32 red. What is the ratio of blue to total marbles in simplest form?

Answers

Step-by-step explanation:

........understood..............

Please Answer 1 and 2. Giving a lot of points!​

Answers

Answer:

I hope I can help

Step-by-step explanation:

welcome po

3. The completion of a construction job may be delayed because of a strike. The probabilities are 0.60 that there will be a strike, 0.85 that the construction job will be completed on time if there is no strike, and 0.35 that the construction will be completed on time if there is a strike. What is the probability that the construction job will be completed on time

Answers

Answer:

0.55 = 55% probability that the construction job will be completed on time

Step-by-step explanation:

We have these following probabilities:

0.6 probability there is a strike. In this case, 0.35 probability that the construction will be completed on time.

1 - 0.6 = 0.4 probability that is not a strike. In this case, 0.85 probability that the construction will be completed on time.

What is the probability that the construction job will be completed on time?

[tex]p = 0.6*0.35 + 0.4*0.85 = 0.55[/tex]

0.55 = 55% probability that the construction job will be completed on time


what is the answer to this subtraction problem​

Answers

Answer:

i d k

Step-by-step explanation:

what is f?

(6f^2 - 9f + 10) - ( -2f^2 - f + 3)

So first, you have to distribute the minus in the middle. You ALWAYS have to. So when you do that, the minus changes to a plus, and everything on the right side of it changes from positive to negative or negative to positive. So it would turn into this -

(6f^2 - 9f + 10) + (2f^2 + f - 3)

Now, you can combine like terms. Add each one that matches. (Add the ones that have 1 f, or f^2)

Answer:
8f^2 - 8f + 7

What is 96 divided by 7 please help is is due by midnight

Answers

Answer:

13.7 (nearest tenth)

Step-by-step explanation:

13.7142857143 is the full answer

96 divided by 7 equals 13.7142

Find the domain of the function f(x)= 2x-6​

Answers

Answer:

Well, the function is F(x)=x^(2)-6x=C so the domain would be found infinite.

All of the numbers are real except where the expression is undefined but in this case, there is no real number that makes the expression undefined.  

Hope this helped, if not, message me and I'll try to explain further.

wright 2/5:1/20 as a unit rate

Answers

Answer:

2 miles per hour

Step-by-step explanation:

Micah buys 10 pens for every 2 pencils. Rachel buys 12 pens for every 3
pencils. Are their ratios of pens to pencils bought equivalent?

Answers

Answer:

no

Step-by-step explanation:

micah

10: 2

5:1

rachel

12: 3

4:1

Can someone help me with this with the work please I don’t know how to do this

Answers

Answer:

9. 45.36

10. 24.44

Step-by-step explanation:

9. Find the height, 10^2 - 8.4^2, take the square root of it

Then take the total base legnth and plug it into the equation A=(H x B)/2

10. 7^2 - 5.2^2, take the square root then take the total base legnth and plug it into the equation A=(H x B)/2

Solve for x. Enter the solutions from least to greatest. Round to two deical places. (x+8)^2-7=0

Answers

Answer:

look at the screen shot

Step-by-step explanation:

Answer:

-10.64 is lesser and -5.35 i greater

Step-by-step explanation:

just did it on khan

Divide 61) 213.5 what is the answer

Answers

Answer:

3.5

Step-by-step explanation:

Answer:

the answer is 0.2857142857.

Hope that helps

can someone explain how this example answer is the answer, this is about mixed to improper fractions and i dont know how to do this so can you help?

Answers

you multiply the whole number by the denominator (2x4) then add the numerator (2x4)= 8 then plus 1 so 8+1 is 9 and that's how you get your answer 9/4

Pepper Jackie filled up her 10 gallon gas tank for $54.50. How much did the gas cost per gallon

Answers

Answer:

it was 5.45$ per gallon

Step-by-step explanation:

hope i helped

She would have payed $5.40 per gallon. You just divide the total cost by the gallon amount.

fill 1 ⅕ bottles with 3 liters of water. How many liters of water fill 1 bottle?

Answers

Answer: It would be  2 1/2 liters

Step-by-step explanation:

There can be 2 and a half litres of water will be filled in 1 bottle.

What is division?

Division is breaking a number up into an equal number of parts.

Given that,  3 litres of water can fill 1 ⅕ bottles,

Since, there are 3 litres in 6/5 bottles

so, 1 litre = 6/5×3 = 2 ¹/₂

Hence, There can be 2 and a half litres of water will be filled in 1 bottle.

For more references on division, click;

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