A teacher needs to purchase notebooks and pencils for her students. Notebooks come in packages of 6 and pencils in packages of 10. The table shows the cost of the items. What is the least amount of money the teacher can spend and have the same number of notebooks and pencils. ​

A Teacher Needs To Purchase Notebooks And Pencils For Her Students. Notebooks Come In Packages Of 6 And

Answers

Answer 1

Answer:

$31.00

Step-by-step explanation:

Given:

1 package = 6 notebooks = $5.001 package = 10 pencils = $2.00

We need to find the LCM of 6 and 10:

Multiples of 6:  6, 12, 18, 24, 30

Multiples of 10: 10, 20, 30

Therefore, the LCM = 30

So the least number of notebooks and pencils the teacher can buy to have the same numbers of each is 30.

⇒ 30 ÷ 6 = 5 packages of notebooks

⇒ 30 ÷ 10 = 3 packages of pencils

5 packages of notebooks = 5 × $5.00 = $25.00

3 packages of pencils = 3 × $2.00 = $6.00

Therefore, the least amount of money the teacher can spend to have the same number of notebooks and pencils (30 each) is:

⇒  $25.00 + $6.00 = $31.00

Answer 2

The least amount of money the teacher can spend to have the same number of notebooks and pencils is $31.00.

To find the least amount of money the teacher can spend and have the same number of notebooks and pencils, we need to determine the least common multiple (LCM) of the quantities in the packages.

Notebooks come in packages of 6, and pencils come in packages of 10. The LCM of 6 and 10 is 30.

To achieve the same number of notebooks and pencils, the teacher could buy:

5 notebook packages (5 * 6 = 30 notebooks)

3 pencil packages (3 * 10 = 30 pencils)

Now, let's calculate the cost:

Cost of notebook packages = 5 * $5.00 = $25.00

Cost of pencil packages = 3 * $2.00 = $6.00

Total cost = $25.00 + $6.00 = $31.00

So, the least amount of money the teacher can spend to have the same number of notebooks and pencils is $31.00.

To know more about least common multiple:

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Related Questions

0.02 x 100 = 0.02 x _____ = ____

Answers

Answer:

Solution,

0.02×100=2

I think it will help you.

The product 0.02 x 100 = 0.02 x 10² =2

What is Number system?

A number system is defined as a system of writing to express numbers.

The given is 0.02 x 100

We need to find the product of zero point zero two times of hundred.

This we can do by using the operation multiplication.

Multiplication is a method of finding the product of two or more numbers

We know that 100 we can write in the form of 10²

When 0.02 is multiplied with 10² we get 2

Hence, the product 0.02 x 100 = 0.02 x 10² =2

To learn more on Number system click:

https://brainly.com/question/22046046

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NO LINKS!!! Please help me with this problem. Part 3

Answers

Answer:

Using diagram from your another question .

AB=4BC=10

Use Pythagorean theorem

[tex]\\ \rm\longmapsto AC^2=4^2+10^2=16+100=116[/tex]

[tex]\\ \rm\longmapsto AC=10.77[/tex]

cos20=0.94

BC/AC=10/10.77=0.91

Not satisfied (Close but we can't ignore 0.03)

Let required BC be x

[tex]\\ \rm\longmapsto \dfrac{x}{10.77}=cos20[/tex]

[tex]\\ \rm\longmapsto x=0.94(10.77)=10.124ft[/tex]

Camera should be shifted 0.124ft left

Express the following in power form. (32)(32)(32)

Answers

Answer:

32^3

Step-by-step explanation:

You are multiplying 32 3 times.

In the Uffizi gallery in Florence, Italy, there is a room built by Buontalenti called the Tribune (La Tribuna in Italian). This room is shaped like a regular octagon. What is the measure of the angle formed by two consecutive walls of the Tribune?

Answers

Answer:

135 degrees

Step-by-step explanation:

135 degrees form the interior angle of a regular octagon

Answer:

135°

I hope this helps you

:)

9 MULTIPLY BY 1 OVER 4 PLS HELP ^_^

Answers

Answer:

37 over 4

Step-by-step explanation:

Hi! I hope you're enjoying your day!

First, 9 times 1 is 9 (anything times 1 is itself)

Now, 9 over 4 is 9 divided by 4.

Is 9 divided by 4? Nope!

However, don't worry! The answer will be a fraction.

[tex]\bold{\displaystyle\frac{9}{4}}[/tex]

Can this fraction be reduced? No.

Why? Because 9 and 4 have no common factors, except 1.

And if you divide by 1, nothing will change.

Hence, the answer is

Improper Fraction: [tex]\boxed{\boxed{\bold{\displaystyle\frac{9}{4} }}}[/tex]

Mixed Number: [tex]\boxed{\boxed{\bold{2\frac{1}{4} }}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{250}{2}[/tex]

– 67.99. – 92, 38, -3.5, 47.41. 72.81, 48.7 find the mean​

Answers

Answer:

-82.9675 is the mean

Step-by-step explanation:

Hope this helps :) and if it doesn't I am sorry for disappointing you :(

Help help math math ASAP ASAP

Answers

Answer:

60° each in equilateral triangle

Step-by-step explanation:

Hope this help you.

find the image of A(-2,4) under a translation (x,y)->(x-2,y-3)​

Answers

Answer:

Point A would be at the coordinates, (-4, 1). Hope this helps!

Solve by factoring 6p^2 - 13p + 6 = 0

Answers

Answer:

2/3

3/2

Step-by-step explanation:

divide the sum of £7890 between charlotte and ali. given that the shares of charlotte at the end of 6 years may be equal to the shares of ali at the end of 8 years. compound interest being 5% ?

Answers

Based on the sum and the share value after the relevant number of years, Charlotte's share is $4,137.46 and Ali's share is $3,752.54.

What are Ali and Charlotte's shares?

This can be solved using the substitution method:

Alice share + Charlotte's share = 7,890

As + Cs = 7,890

As = Cs

(As x Future value factor, 5%, 8 years) = (Cs x Future value factor, 5%, 6 years)

(As x 1.47745) = (Cs x 1.3400)

Cs = (As x 1.47745) / 1.3400

Cs = As x 1.1025746

Slotting these back in the original formula gives:

As + (As x 1.1025746) = 7,890

2.1025746As = 7,890

,As = 7,890 / 2.1025746

= $3,752.54

Charlotte's share will be:

= 7,890 - 3,752.54

= $4,137.46

Find out more on the substitution method at https://brainly.com/question/190818.

Simplify each expression below.

Select the two choices that are less than 12.

A) 56−18
B) 78−23
C) 45−38
D) 78−13

Answers

Answer:

C) 45-38

Step-by-step explanation:

The reason why this is your answer is because if we subtract, the answer is less than 12.

Thanks!

Here s a patter made from sticks

Answers

Answer:

Recursive formula of an arithmetic sequence is given by the expression,

                          Tn=a+(n−1)d

                 Where, Tn= nth term

                              a= First term of the sequence

                              n= Number of term

                              d= Common difference

Therefore, number of sticks in the 6th pattern are 32.

                   And number of sticks in the nth pattern are Tn=5n+2

From the picture attached,

Number of sticks in 1st pattern = 7

Number of sticks in 2nd pattern = 12

Number of sticks in 3rd pattern = 17

Sequence formed is 7, 12, 17..... nth term

This sequence has a common difference of 5 in each successive term so it will be an arithmetic sequence.

Therefore, nth term of the sequence will be,

       Tn=a+(n−1)d

       Tn=7+(n−1)5

       Tn=5n+2

If n=6,

       Tn=7+(6−1)5

       Tn=7+25

Tn=32

Hope it helps !

Have a great day!

Given: m = 1 2 and b = 4

The slope and y-intercept for a linear equation are given. Which graph matches this information?
A)
B)
C)
D)

Answers

Answer:

the answer is A im not sure tho

Step-by-step explanation:

if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8

there goes your answer.

here a subtraction problem that has been solved incorrectly what is the right way 74-25=59​

Answers

Answer:

x+25=74

x=74_25

x=59.

Step-by-step explanation:

this is the right way sir!

how can a single X input equal multiple Y outputs. Example: -2,1 -2,2 -2,3 -2,4.

75 points up from grabs​

Answers

As long as a graph shows 2 or more intersections in a vertical line, an x input can equal multiple y outputs

Evaluate geometric series

Answers

Answer:

7.50 (nearest hundredth)

Step-by-step explanation:

General form of geometric progression:  [tex]a_n=ar^{n-1}[/tex]

(where [tex]a[/tex] is the initial term and [tex]r[/tex] is the common ratio)

Given progression:

[tex]5\left(\dfrac13\right)^{n-1}[/tex]

Therefore:

[tex]a=5[/tex][tex]r=\dfrac13[/tex]

Sum of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{(1-r)}[/tex]

Substituting a = 5, r = 1/3 and n = 10 to find the sum to n = 10:

[tex]\implies S_{10}=\dfrac{5(1-\frac13^{10})}{(1-\frac13)}[/tex]

[tex]\implies S_{10}=7.499873987...[/tex]

[tex]\implies S_{10}=7.50 \textsf{ (nearest hundredth)}[/tex]

3. Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as rectangle JKLM). He knows the base edge, ML, measures 18 ft. And the distance of diagonal KM measures 25 ft. What is the area of Felipe’s bedroom floor? Show all work and round your answer to the nearest tenth.

Answers

Answer:

312.3

Step-by-step explanation:

What is the value for x?

Answers

X = 80 degrees
Trust me

Answer:

x = 80

Step-by-step explanation:

JKL + JLK = KJX

60° + 40° = (x + 20°)

Substitute KJX = (x + 20)°, JKL = 60°, JLK = 40° into JKL + JLK = KJX

x = 80

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY

which function has a greater slope and a greater y -intercept than the linear function represented in the table

Answers

Answer:

~Y/n here~ I would think that the greater the slope the steeper the line. b is the slope of the line. So the slope means that a unit change in x, so the independent variable will result a change in y by the amount of b. Slope can show both steepness and direction in a linear function.

(Hope this helps!)

There are 45 new houses being built in a neighborhood. Last month, 2/3 of them were sold. This month 2/5, of the remaining houses were sold. How many houses are left to be sold?

Answers

Answer: 9 houses

Step-by-step explanation:

Step 1:

Since 2/3 of the houses were sold last month, 1/3 of them were left.

45 * 1/3 = 15 houses left last month

Step 2:

Since 2/5 of the remaining houses were sold this month, 3/5 of them were left

15 * 3/5 = 9 houses left to be sold

there's your answer hope this helps :)

A cyclist bikes a certain distance in 25 minutes.
How long would it take the driver of a car traveling 5 times
faster than the cyclist to travel the same distance?

Answers

Answer:

5 minutes

Step-by-step explanation:

Can someone help me please

Answers

Answer:

A) At least 1 Right angle

Step-by-step explanation:

As you can seel all the shapes here have atleast 1 right angle, but all the shapes don't have all the things that the other answer choices are saying.

So hence, your answer is A) At least 1 Right Angle

Thanks!

Mark me brainliest!

solve for: 2v^2+19v+43=(v+5)^2

Answers

Answer:

v=-3,-6

Step-by-step explanation:

HELP PLEASE NOW URGENT!

Answers

Answer:

How Can I answer this

Step-by-step explanation:

Read the example over and over again until u get it

What is 7.5 x2.7= show the work

Answers

Answer:

20.25

Step-by-step explanation:

7.5x 2.7

break it down 7.5x2=15

7.5x 0.7=5.25 add all together and when multiplying don't forget to move decimals over

Can someone explain how to do this cause I’m confused

Answers

Answer:

51

Step-by-step explanation:

So basically, you just plug in the number after f for the letter x. In this case, it is 5 for x.

This gives you:

-5²+6(5)-4

-5²=25

6(5)=30

25+30=55

55-4 =

51

Quadrilateral DEFG is a rhombus and m value of p

Answers

Solution:Note that:Opposite angles are always equal.The sum of the degrees in a quadrilateral is 360°This means that:∠F = ∠D = 62°∠E = ∠G = 5p + 49∠F + ∠D + ∠E + ∠G = 360Solving for p.∠F + ∠D + ∠E + ∠G = 360=> 62 + 62 + 5p + 49 + 5p + 49 = 360=> p(5 + 5) + (62 + 62 + 49 + 49) = 360=> p(10) + (222) = 360=> 10p + 222 = 360=> 10p = 360 - 222=> 10p = 138=> 10p/10 = 138/10=> p = 13.8Check:∠E = ∠G = 5p + 49=> ∠E = ∠G = 5(13.8) + 49=> ∠E = ∠G = 69 + 49=> ∠E = ∠G = 118°=> ∠F + ∠D + ∠E + ∠G = 360=> 62 + 62 + 118 + 118 = 360=> 360 = 360 (True)

Please help. Solve the following system of linear equations by substitution. Show all work.
Y= -2
4x -3y=18

Answers

Answer:

The solution (3, -2).

Step-by-step explanation:

The easiest way to find this solution is inputting these two equations into Desmos Graphing Calculator!

Answer:

x = 3,y = -2

Step-by-step explanation:

Given data:

Y= -2

4x -3y=18

Solve:

Substitute the given y-value into 4x−3y=18 and solve for x

Since, y = -2,

[tex]4x-3(-2)=18[/tex]

[tex]4x+6=18[/tex]

[tex]4x+6-6=18-6[/tex]

[tex]4x=12[/tex]

[tex]\frac{4x}{4}=\frac{12}{4}[/tex]

[tex]x = 3[/tex]

The solution to the system of equations is x = 3, y = -2

~Learn with Lenvy~

Use a graphing tool to graph f (x) = StartFraction negative 4 x cubed + x Over x cubed minus 4 x EndFraction to identify:
Limit of f (x) as x approaches plus-or-minus infinity

Answers

Answer:

-4

negative infinity

negative infinity

Step-by-step explanation:

Answer:

-4

negative infinity

negative infinity

Step-by-step explanation:

what’s the relation?

Answers

y=1/2x i think , cuz the rate of change is 1/2
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