Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co-workers. Sam buys a case of water than contains 36 bottles and sells three times as many bottles as Sylvia sold to his co-workers. How many bottles of water did Sylvia sell if they ended up with the same number of bottles of water left over?

Record your answer in the grid below.

Be sure to use the correct place value.

Answers

Answer 1

Answer:

Sylvia sold 6 bottles of water and Sam sold 18 bottles of water if they ended up with the same number of bottles left

Step-by-step explanation:

Sylvia

Total bottles bought = 24

Total bottles sold = x

Bottles remaining = Total bottles bought - Total bottles sold

= 24 - x

Sam

Total bottles bought = 36

Total bottles sold = 3x

Bottles remaining = Total bottles bought - Total bottles sold

= 36 - 3x

Equate both equations

24 - x = 36 - 3x

Collect like terms

24 - 36 = -3x + x

- 12 = -2x

Divide both sides by -2

x = -12 / -2

= 6

x = 6

Sylvia Total bottles sold = x

= 6

Sam Total bottles sold = 3x

= 3(6)

= 18

Sylvia sold 6 bottles of water and Sam sold 18 bottles of water if they ended up with the same number of bottles left


Related Questions

Can you please help me in this quick question? I'm so mad at it no matter what I do it's wrong :(

Write the expression as a monomial in its standard form.
(–0.2b^6)^3*5b

It's kind of confusing when I write it like that without the exponents and stuff but yeah please help thanks

Answers

Answer:

[tex]-0.04b^{19}[/tex]

Step-by-step explanation:

We have the expression [tex](-0.2b^6)^3\times 5b[/tex] and we want to rewrite/simplify this to a monomial (only one term).

First, let's expand. We can use the power of a product exponent property, where [tex](ab)^x=a^xb^x[/tex]

We have:

[tex](-0.2b^6)^3\times 5b[/tex]

Using the above property, this will be:

[tex]=(-0.2)^3(b^6)^3\times5b[/tex]

(-0.2) cubed is -0.008. So, this becomes:

[tex]=-0.008(b^6)^3\times 5b[/tex]

We can now use the power of a power property, where [tex](x^a)^b=x^{ab}[/tex].

Therefore, this will give us:

[tex]=-0.008b^{6\times 3}\times 5b[/tex]

Evaluate:

[tex]=-0.008b^{18}\times 5b[/tex]

Notice that 5b is the same as 5 times b to the first power. So:

[tex]=-0.008\times b^{18}\times5\times b^1[/tex]

We can rearrange this to get:

[tex]=-0.008\times 5\times b^{18}\times b^1[/tex]

When we multiply exponents with the same base, we will simply add the exponents. -0.008 times 5 is -0.04. Therefore, this yields:

[tex]=-0.04b^{18+1}\\=-0.04b^{19}[/tex]

Therefore, our final answer is [tex]-0.04b^{19}[/tex].

And this is indeed a monomial since this only has one term.

Evaluate the expression.
10–

4+

6÷3

Answers

Answer:

i do not know

Step-by-step explanation:

Answer:

Simplify 6\div 36÷3 to 22.

10+4-210+4−2

2 Simplify 10+410+4 to 1414.

14-214−2

3 Simplify.

the answer is 12

Step-by-step explanation:

please help you kind people

Answers

Answer:

All I know is that the first picture is 8

Step-by-step explanation:

I know because one times eight is eight so um yeah

Write an equation of the line passing through the point (-3, -3) that is perpendicular to the line y=-7/23x+9

Answers

Answer:

y = 23x/7 +48/7

Step-by-step explanation:

perpendicular slopes are always equal to -1

so the new slope is 23/7

slope intercept form is y = mx + b where m is the slope and b is the                 y-intercept

so plug in (-3, -3 ) to get -3 = 23(-3)/7 + b

isolate b

solve

-3 = 23*-3/7 + b

-3 = -69/7 + b

add 69/7 to both sides

69/7 - 3 = b

-3 = -21/7

69/7 - 21/7 = 48/7

b = 48/7

new equation is y = 23/7 + 48/7

Which step can you use to solve the equation y/3 = 5

Answers

Answer:

y = 15

Step-by-step explanation:

You can use the addition property of equality.

1) time 3 to +3 and 5

3 x /3 = 0

3 x 5 = 15

2) Now, we are left with y = 15

Therefore, y = 15

Hope this helps! :D

Solve the inequality and graph the solution.
6d - 10 > 8

Answers

Answer:

d>3

Step-by-step explanation:

6d-10>8

add the 10 to both sides

6d>18

divide the 6 from both sides

d>3

HELP ASAP ITS TIMED!!!!!!!!

Answers

Answer: alternate exterior

Step-by-step explanation:

Pls help me answer this question if correct I'll make brainylist!!!!

Answers

Answer:

32

Step-by-step explanation:

please!! need help thank you

Answers

Answer:

y=6x-5

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Finding the slope:

Use this...

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Plug in what you know...

[tex]y_{2} =-5\\y_{1}=7\\x_{2} =0\\x_{1}=2[/tex]

Now solve...

[tex]\frac{-5-7}{0-2}=\frac{-12}{-2} =6[/tex]

So the slope is 6.

Finding the y-intercept:

Use this...

[tex]y=mx+b[/tex]

Plug in what you know...

(2,7)    (I'll be using this pair but you can choose the other one)

[tex]y = 7\\x = 2\\m = 6[/tex]

Now solve...

[tex]7=6(2)+b\\7=12+b\\b=-5[/tex]

Writing the equation:

Use this...

[tex]y=mx+b[/tex]

Plug in what you know...

[tex]m=6\\b=-5[/tex]

Now write it out...

[tex]y=6x-5[/tex]

That's it

Simplify the given equation.

5x + 2(x - 3) = -2(x - 1)

a. 7x - 3 = -2x - 1

b. 7x - 6 = -2x + 2

c. 7x - 6 = -2x - 2

Answers

Solve

5x + 2x -6 = -2(x - 1)

7x - 6 = -2(x-1)

Distribute

7x - 6 = -2(x - 1)

7x - 6 = -2x + 2

Add 6 to each side

7x - 6 + 6 = -2x + 2 + 6

Simplify

7x = -2x + 8

x = 8/9

So your answer is B. I believe

5x + 2(x - 3) = -2(x - 1)

its 8/9

hurry will give brainiest.

Answers

Answer:

2. z=8

3.2x=16

5.distributive property

7.Addition property of equality

i'm not 100%ly sure so if it's wrong sorry and pls don't report mine i'm just trying to help not get my answer deleted:)

What is the value of n in this equation? 7^6⋅7^3=7^n Enter your answer in the box. n =

Answers

Answer:

n=9

Step-by-step explanation:

add the exponents when the bases are the same

Why would your savings account “lose value” if the rate of return you receive is lower than the rate of inflation?

Answers

Answer:

Inflation is the continuing reduction of the purchasing power or price level rise in a given time period.

Therefore, keeping money in a savings account that gives an interest rate that is lower than the inflation rate, in a period of high inflation will result in a reduction of the purchasing power of the amount of money plus interest in the savings account.

If the interest rate is 10%, the amount, A, in the account after a given time will be 1.1A

If the inflation rate is 15%, the value of the goods sold initially at A, will become 1.15A after the given period and the amount in the account will no longer be able to purchase the goods it was initially able to purchase, or the amount in the savings account will lose value

Step-by-step explanation:

In this exercise, we have to know some finances concepts in order to explain the problematized situation in this way we can say that:

Inflation exist the ongoing decline of the ability to purchase or price level rise fashionable a likely time period.

Explaining this concept of finance in a deeper way, we find that:

Inflation exist the ongoing decline of the purchasing power or price level rise fashionable a likely an age.

Therefore, consistency services in a account for saved money that gives an sum charged for use of money that is to say inferior the swelling rate, in a period of extreme swelling will influence a decline of the ability to purchase of the amount of services plus interest in the account for saved money.

If the sum charged for use of money exist 10%, the amount, A, fashionable the or charges after a likely opportunity will exist 1.1A

If the swelling rate exist 15%, the value of ability sold out at first at A, will evolve into 1.15A following in position or time the given extent of time and the amount fashionable the or charges will not any more within financial means purchase the goods it exist at first able to perform well to purchase, or the amount fashionable the account for saved money will lose value

See more about finances at brainly.com/question/10024737

Determine the perimeter.
ху
ху

Answers

To get the perimeter you add all the sides and to get the area you have to multiply

I need help on this​

Answers

Answer:

13.83

Step-by-step explanation:

12*106/92=13.82

Answer:

13.83

Step-by-step explanation:

If y varies inversely it has equation:

y = k/x

We have

y = 106, x = 12

Then, finding the value of k:

106 = k/12k = 106*12= 1272

For x = 92

y = 1272/92 = 13.83 rounded

The last option is correct

i dont know anything help me i have a target grade 8 and i get 3s

Answers

Answer:

whats the question

Step-by-step explanation:

what's the question??

please please help me out!!

Answers

Answer:

x=36

Step-by-step explanation:

the triangle is a right angle triangle divided into 2 at the angle representing 90°. Since the second triangle has two equal sides the angles therefore are also equal, hence

180°-72°=108°

then 108°÷2=54°. ( we divided because the angles are equal.

x=180°-90°-54°

x=36°

What is an expression?

Answers

Depends on what kind of expression you are talking about, A mathematical expression, or a normal expression.

___________________________________________________________

Mathematical

When you combine numbers and variables using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations.

___________________________________________________________

Normal

A look on someone's face or a word or phase.

___________________________________________________________

I hope that i helped!

May i have brainliest?

[tex]\huge\boxed{Thanks,\;Plip.}[/tex]

At what value does the graph of y=4 cot^-1(2x) intersect the y-axis?
A.pi/8
B.pi/2
C.pi
D.2pi

Answers

Answer:2 pi

Step-by-step explanation: The reason I know this is because I plugged into a graphing calculator and took the unit test.

At value D.2pi  the graph of y=4 cot^-1(2x) intersect the y-axis.

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, given that,

y=4 cot^-1(2x)

we have to find the value at it  intersect the y-axis.

y-axis means x=0.

So, here the value is D.2pi.

To learn more trigonometry click:

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What is the hypotenuse of a right triangle if the legs are each 20 inches long? Round to the nearest whole number.
A. 28
B. 29
C. 30
D. 31

Answers

Answer:

ueidicjfkfktitorr*rtt

28

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 20² + 20² = 400 + 400 = 800 ( take the square root of both sides )

h = [tex]\sqrt{800}[/tex] ≈ 28 in ( to the nearest whole number )

what is the domain of the following function?

Answers

I think the answer is j but I could be wrong

granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories. The equation LaTeX: 4c+5=27 represents the relationship between these quantities.

Answers

Answer:

5 1/2

Step-by-step explanation:

The calories contained are from grams of carbohydrates and other ingredients

One gram of carbohydrate contains 4 calories

The equation 4c + 5 = 27 represents the relationship between these quantities.

1. 5 from the equation represent calories from other ingredients

2. Neither 8 nor 3 is the solution to the equation

4c + 5 = 27

When 8 is the solution

4(8)+5=27

32+5=27

37=27

When 3 is the solution

4(3)+5=27

12+5=27

17=27

Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.

3. Solution to the equation

4c + 5 = 27

4c= 27-5

4c = 22

Divide both sides by 4

c=22/4

=5 2/4

=5 1/2

The solution to the equation is 5 1/2

Simplify.
8 · 3 · x plzzzzzzzz answer fast

Answers

Answer:

24x

Step-by-step explanation:

hope this helps

The answer:
24x

Explanation:
8 • 3 = 24, and it is multiplied by the x value.

{(-1,5), (0, -5)(-7, 9), (3, 4), (-9, -9) }
Domain:
Range:
Function? :

Answers

I think that’s range

what’s 0.17 repeating as a fraction

Answers

If it's just the 7 that's repeating, let

x = 0.1777...

Then

10x = 1.777...

100x = 17.777...

100x - 10x = 17.777... - 1.777...

90x = 16

x = 16/90 = 8/45

If both 1 and 7 are repeating, let

x = 0.171717...

Then

100x = 17.171717...

100x - x = 17.171717... - 0.171717...

99x = 17

x = 17/99

Complete the following statement.


5(12+5)=

Answers

PEMDAS:

perenthesis, exponents, multiplication + division, addition and subtraction.

so you add first, to get 12+5=17.

then you multiply, to get 5*17 =85

Answer:

85

Step-by-step explanation:

PEMDAS:

First you do parenthesis so add the 12 and 5 together to get 17.

Now you are left with 5(17).

from there multiply to get your answer.

85

There were 22 bales of hay in the barn. Tom stacked more bales in the barn today. There are now 76 bales of hay in the barn. How many bales did he store in the barn?

Answers

Answer:

54 bales

Step-by-step explanation:

Answer:

54 Bales

Step-by-step explanation:

Subtract 22 from 76 to get 54

1. Which diagram shows the construction of a 45° angle

Answers

Answer:

The answer is A.

Step-by-step explanation:

I pirnt the picture out and grabbed a ruler and started looking for the answer and If you look at A. with a ruler you can tell that it is a 45° angle.

Diagram of option(B) shows the construction of a 45° angle

What is arc?

The arc is a portion of the circumference of a circle

In diagram of option(B),

∵ The arc constructed between two perpendicular lines

Hence, the angle is 45°

Diagram of option(B) shows the construction of a 45° angle

Learn more about arc

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Leona was in a golf tournament last week. All of her rounds of gold were within 2 strokes of par. If par was 72, what are the maximum and minimum scores that Leona could have made in the gold tournament

Answers

Answer:

Maximum: 74

Minimum: 70

Step-by-step explanation:

l s - 72 l = 2

s - 72 = 2

s = 74

s - 72 = -2

s = 70

The maximum score will be 74 and the minimum score will be 70.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Leona was in a golf tournament last week. All of her rounds of gold were within 2 strokes of par and par was 72.

The value of the maximum and minimum scores will be calculated as below:-

Maximum score:-

l s - 72 l = 2

s - 72 = 2

s = 74

Minimum score:-

s - 72 = -2

s = 70

Therefore, the maximum score will be 74 and the minimum score will be 70.

To know more about an expression follow

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If a train goes 110 miles per hour, how many miles will the train go in one day

Answers

Answer:

2640 miles

Step-by-step explanation:

If the train goes 110 miles per hour, and there are 24 hours in a day, and you multiply them together, you get 2640, hope this helps!

Answer:

The train will go 2,640 miles in one day

Step-by-step explanation:

110*24 = 2,640

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