Ronnie can buy invitations in packages of 12 and envelopes in packages of 10. Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over. How many packages of invitations and how many packages of envelopes did Ronnie buy? Enter your answers in the boxes. packages of invitations packages of envelopes

Answers

Answer 1

Answer:

5---6

Step-by-step explanation:

Answer 2

Given, the package of invitations contain [tex]12[/tex] invitations and package of envelopes contain [tex]10[/tex] envelopes.

Let [tex]x[/tex] and [tex]y[/tex] denote the number of invitation packages bought by Ronnie respectively.

It is given that, Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over.

That is,[tex]12x-10y=0[/tex].

When, [tex]x=1[/tex] the value of [tex]y[/tex] becomes [tex]1.2[/tex].

It is not possible, since the number package cannot be in decimals.

When, [tex]x=2[/tex] the value of [tex]y[/tex] becomes [tex]2.4[/tex].

This is not possible, since the number package cannot be in decimals.

When, [tex]x=3[/tex] the value of [tex]y[/tex] becomes [tex]3.6[/tex].

This is not possible, since the number package cannot be in decimals.

When, [tex]x=4[/tex] the value of [tex]y[/tex] becomes [tex]4.8[/tex].

This is not possible, since the number package cannot be in decimals.

When, [tex]x=5[/tex] the value of [tex]y[/tex] becomes [tex]6[/tex].

This is not possible, since the number package cannot be in decimals.

Thus, Ronnie bought [tex]5[/tex] packages invitations and [tex]6[/tex] packages envelopes so that there is exactly one envelope per invitation with none left over.


Related Questions

Solve for x: |4x + 12| = 16 (5 points)

Group of answer choices

x = 7, x = −7

x = 1, x = −1

x = 1, x = −7

x = −1, x = 7

Answers

X= 1 , X= –7

I hope I helped you^_^

Write an equation in slope-intercept form of a line that passes through the point (-4,9) and has a slope of 1/2.

Answers

Answer:

y = 1/2x + 11

Step-by-step explanation:

y = 1/2x + b

9 = 1/2(-4) + b

9 = -2 + b

b = 11

marginal relative frequency example?

Answers

Answer:

Marginal relative frequency is the ratio of the sum of the joint relative frequency in a row or column and the total number of data values. Remember, the marginal frequency numbers are the numbers on the edges of a table, kind of like the margins are the areas on the edge of a paper.

calculate the area of the classroom.area =l×b​

Answers

If the length is 160cm and the breadth is 100cm and the area= I x B
So this means it’s like that:
160 x 100 = 16000cm2

In the​ diagram, bisects FGI.
Angle FGI is formed from angles FGH and HGI. Angle FGH measures 4 x minus 7 degrees. Angle HGI measures 5 x minus 14 degrees.
a.
Solve for x and find mFGH.
b.
Find mHGI.
c.
Find mFGI.
a. x
nothing ​(Simplify your​ answer.)

Answers

Answer:

C 100%

Step-by-step explanation:

Which statement is supported by the graph?

The bicycle has speed but not velocity.
The bicycle is moving at a constant velocity.
The bicycle has a displacement of 3 m.
The bicycle is not in motion.

Answers

Answer:

The correct answer is D. The bicycle is not in motion.

Step-by-step explanation:

In the position-time graph we can see that the position of the cycle hasn't changed when the time has changed (e.g. when time changes from 2s to 3s, the position remains 3m). Therefore, we can conclude that the cycle is not moving, and therefore answer D. is correct.

Answer:

its d

Step-by-step explanation:

please help asap show work and dont put links

Answers

Answer:

square root of x. so just find the square roots of all the inputs. you can tell its square root of x cuz all of things where both boxes are fille in each side have the same patter. square root of 1 is 1 square root of 49 is 7 square root of 25 is 5

Step-by-step explanation:

I need the volume of part f in this question and please show the working if you do solve it !!

Answers

Answer:

10 x 4 x 3=120

4 x 3 x 3=36

4 x 3 x 3=36

120+48+48=192

im sorry....i don't know the proper working>_<

how do you solve sin(x) + cos(x) * tan(x)

Answers

Step-by-step explanation:

[tex] \sin(x) + \cos(x) \times \tan(x) \\ = \sin(x) + \cos(x) \times \frac{ \sin(x) }{ \cos(x) } \\ = \sin(x) + \sin(x) \\ = 2 \sin(x) [/tex]

Step-by-step explanation:

sin(x) + cos(x) = sin x ÷cos x

sin(x) + cos(x) sin(x) ÷ cos (x)

join cos x and sin x

sin x + sin x

cancel cos x with cos x

The answer is 2 sin x

The product of 4 and a number x

Answers

Answer:

you can`t multiply an integer with a variable unless the variable represents something

ex: if x = 10 then the product of 4 and x is 40

Answer:

4x

Step-by-step explanation:

'Product' refers to multiplication.

Calculus (yet again)!

The water level of a certain body of water is changing at a rate of [tex]W(t) = \frac{1}{2}cos(3 - \frac{t}{2})[/tex] inches per hour, where t represents hours since 12 a.m.
What is the average hourly number of inches that the water level changes for this lake in one day?

I'm pretty sure that the number of inches that the water changes in one day would be represented by [tex]\int\limits^2_0 {W(t)} \, dt[/tex] (where the number on top of the integral is a 24), but how would I set up an integral for the average hourly number of inches? Thank you so much!

Answers

Answer:

The average hourly number of inches that the water level changes per day is about 0.0231 inches per hour.

Step-by-step explanation:

The water level of a certain body of water is changing at a rate represented by the function:

[tex]\displaystyle W(t) = \frac{1}{2}\cos \left( 3- \frac{t}{2}\right)[/tex]

Where W is measured in inches per hour and t represents hours since 12 A.M.

And we want to determine the average hourly number of inches that the water level changes for the lake in one day.

Recall that the average value of a function is given by:

[tex]\displaystyle f_\text{avg} = \frac{1}{b-a} \int_{a}^{b} f(x) \, dx[/tex]

Hence, the find the average hourly number of inches that the water level changes in one day, we simply need to find the average value of W from t = 0 to t = 24.

Substitute:

[tex]\displaystyle W(t)_{\text{avg}} = \frac{1}{(24)-(0)} \int_{0}^{24} \frac{1}{2}\cos \left(3 - \frac{t}{2}\right) \, dt[/tex]

Simplify:

[tex]\displaystyle W(t)_{\text{avg}} = \frac{1}{24} \int_{0}^{24} \frac{1}{2}\cos \left(3 - \frac{t}{2}\right) \, dt[/tex]

Evaluate using u-substitution. We can let:

[tex]\displaystyle u = 3 - \frac{t}{2} \Rightarrow du = -\frac{1}{2}\, dt\Rightarrow -2\, du = dt[/tex]

Hence:

[tex]\displaystyle W(t)_{\text{avg}} = -\frac{1}{24} \int_{3}^{-9} \cos u \, du[/tex]

Evaluate:

[tex]\displaystyle \begin{aligned} W(t)_{\text{avg}} &= \frac{1}{24}\int_{-9}^{3} \cos u\, du \\ \\ &= \frac{1}{24}\left(\sin u\Big|_{-9}^{3}\right) \\ \\ &= \frac{1}{24}\left(\sin3 - \sin -9\right) \\ \\ &=\frac{1}{24}\left(\sin 3 + \sin 9\right) \\ \\ &\approx0.0231 \end{aligned}[/tex]

In conclusion, the average hourly number of inches that the water level changes per day is about 0.0231 inches per hour.

Talehia is working on the monthly budget her monthly income is 500 she has allocated 200 for savings 100 for vehicle expenses and 75 for closing how much is available to spend on entertainment

Answers

Answer:

125

Step-by-step explanation:

total earning = 500

saving = 200

reaminings = 500-200

temainings= 300

vehical expenses=100

now remainings= 300-100

remaining=200

closing= 75

remaings=200-75

remainings for entertainment= 125

2sinx/2cosx-secx=tan2x​

Answers

Answer:

hope it help u

Step-by-step explanation:

2sinx/(2cosx – secx)

=2 sinx/(2cosx–1/cosx)

as secx = 1/ cosx

multiplying both the denominator and numerator by cost,we get

2sinxcosx/( 2cos^2x –1) =cos2x

since,2sinxcosx = sin2x and 2cos^2 –1=cos2x

2sinxcosx/(2cos^2x– 1)= sin2x/ cos2x = tan2x

n the expression below, the letters A,B, C, D and E represent the numbers 1, 2, 3, 4
and 5 in some order.
A×B +C ×D +E
What is the largest possible value of the expression?

Answers

Answer:

A × B + C × D + E

1 × 2 + 3 × 4 + 5

= 19

Solve the following problem. Round to one decimal place if necssary.

Answers

Answer:

x = 16.1051577

Step-by-step explanation:

tan0 = opp/adj

tan0 = 14/x

tan(49)× 14 = 16.1051577

(4x+5)(4x−5)
I'm stuck can someone please help me ​

Answers

Answer:6small2−25

Step-by-step explanation:

Answer:

16x² - 25

Step-by-step explanation:

(4x+5)(4x−5)

16x² - 20x + 20x - 25

16x² - 25

What is the length of the altitude of the equilateral triangle below?

Answers

Answer:

B

Step-by-step explanation:

Using the sine ratio in either of the 2 right angles and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{4\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2a = 4[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 12 ( divide both sides by 2 )

a = 6 → B






answer it plz


step by step plz​

Answers

Answer:

I HOPE IT WILL HELP YOU A LOT.

Have a great day ahead.

Find the length of the line segment in decimal form.

Answers

Answer:

Step-by-step explanation:

(2 , 4)  ;      ( -1 , -1)    

[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

               

why can u write both addition expression and subtraction expression for the situation

Answers

Answer:

It depends if the number is an integer {-1,+7,-7}

e.g -7+4

these numbers are integers that is why you can write both addition and subtraction expressions

When the sum of the internal angles of a polygon is 10 right angles, then how
many sides does it have?

Answers

Answer:

7 sides

Step-by-step explanation:

formula for sum of interior angles

(n-2)× 180= 10 right angles

(n-2)× 180 = 900

n-2= 900÷180

n= 5+2

n= 7

look at the adjoining figure and write 2 pairs of intersecting lines.​

Answers

Answer:

Line AB and Line GHLine CD and Line FF

Concept:

Intersecting lines are lines that overlap upon only one point. The number of lines can be two or more.

Intersecting lines can intersect at any angle.

Solve:

There are in total four intersecting points in the given figure.

As we can see from the figure, any two lines would intersect each other

Therefore, 2 pairs of intersecting lines can be any pairings of lines that are not in the same orientation.

Line AB and Line GHLine CD and Line FF

Hope this helps!! :)

Please let me know if you have any questions

How can a frequency table or histogram help you organize and analyze data?

Answers

Answer:

[tex]\red{{\sf{NONSENSE=}}}[/tex]

[tex]\blue{{\sf{REPORT}}}[/tex]

[tex]\color {red}{•}\color {orange}{•}\color {yellow}{•}\color {lime}{•}\color {green}{•}\color {cyan}{•}\color {aquamarine}{•}\color {indigo}{•}\color {blue}{•}\color {violet}{•}\color {blueviolet}{•}\color {pink}{•}\color {magenta}{•} \color {brown}{•}\color {gray}{•}\color {black}{•}[/tex]

WHATS 9+10??????????????

Answers

21 of course
……………………
9+10= 19

Hope it helpss!!!!!

You use a crowdfunding website to raise money. the website keeps 5% of each donation. Five of your friends each donate the same amount.e total funding you receive is $47.50. How much does each friend donate?

Answers

Answer:

Step 1:

Let x represent the amount of each friend donate

Website keeps = 5%

Total funding I receive = $ 47.50

4.75x = $47.50

Step 2:

4.75 = $47.50       - Write the equation

[tex]\frac{4.75x}{4.75}[/tex] = [tex]\frac{47.50}{4.75}[/tex]            - Divide both sides of the equation by 4.75

The solution is x = 10

ANSWER: Each friend donates $10

hope this helps Have a good day.

Each friend donates $10.

It is required to find How much does each friend donate.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given :

The website keeps 5% of each donation.

Five of your friends each donate the same amount.

Total funding receive is $47.50.

Let x represent the amount of each friend donate

According to question we have,

4.75x = $47.50

Divide both sides of the equation by 4.75 we get,

x = 10

Therefore, each friend donates $10.

Learn more about arithmetic here:

brainly.com/question/24423838

#SPJ2

Select the coff
A company that bottles mustard is allowed to advertise their bottle size as 21 ounces as long as the actual amount in the bottle is within
0.15 ounces of that amount. Which inequality shows all the possible actual bottle volumes (1) that the manufacturer would be able to advertise
as 21 ounces?

Answers

Answer:

d

Step-by-step explanation:

v+21

[tex]v + 21 \leqslant 0.15[/tex]

The inequality is v+ 21 ≤ 0.15

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

A company that bottles mustard is allowed to advertise their bottle size as 21 ounces as long as the actual amount in the bottle is within 0.15 ounces of that amount.

So,

if the volume is v then the situation can be represented as

v+ 21 ≤ 0.15

As, the actual amount  is within 0.15 ounces of that amount.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

The domain for f(x) and g(x) is the set of all real numbers
Let f(x) = 3x + 5 and g(x) = x^2
Find (f + g)(x).

Answers

Answer:

3x square + 5 is your answer

Write 8-to 10 sentences about how math can make you a good leader/worker?



^^i didn't really understand that one and yes ill give brainliest and yes I will report your answer if you put absurd stuff

Answers

Step-by-step explanation:

Mathematics is a methodical application of matter. ... Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.

pls make me the brainliest

Answer:

  Math can make you a good leader and worker in many ways. Math is a subject that usually includes lots of problem-solving and critical thinking skills. When taking a math class you acquire lots of experience with those. Some areas of math such as Calculus, can be very difficult and take lots of determination to learn. People that are able to effectively solve problems are very valuable to businesses as workers and will often be hired and promoted before others who don't posses the same problem-solving skills. Knowing how to make basic calculations without a calculator can also be very useful in any field of work.

-5.025, -square root of 25, -5 1/2, -11/2 least you greatest

Answers

answer =-51/2,-11/2,-5.025,-✓25

-✓25=-5

-11/2=-5.5

-51/2=-25.5

-5.025

Find the equation of the line that is perpendicular to y=-2x+1 and contains the point (8, 2).

Answers

Answer:

y = 1/2x - 2

Step-by-step explanation:

In order for a line to be perpendicular to another, the lines must have opposite reciprocal slopes.

Example of an opposite reciprocal slope: -2 ⇒ 1/2

Insert the information into the point-slope formula:

[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{1}{2}(x-8)\\\\y-2=\frac{1}{2}x-4\\\\y=\frac{1}{2}x-2[/tex]

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