Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers. What is the greatest number of bags Lucia can make

Answers

Answer 1

Answer:

The greatest number of bags Lucia can make = 16

Each of the 16 bags will contain 4 stickers and 3 markers

Step-by-step explanation:

Markers = 48

Stickers = 64

What is the greatest number of bags Lucia can make?

Find the highest common factor of 48 and 64

48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48

64 = 1, 2, 4, 8, 16, 32 and 64

The highest common factor of 48 and 64 is 16

The greatest number of bags Lucia can make = 16

Stickers = 64/16

= 4 stickers per bag

Markers = 48/16

= 3 markers per bag

Each of the 16 bags will contain 4 stickers and 3 markers


Related Questions

A parallelogram has a base of 9 km and a height of 5 km. A triangle has a base of 6 km and a height of 3 km. How many times greater is the area of the triangle?

Answers

Answer:

Parallelogram has greater area.

Step-by-step explanation:

Given:

Base of parallelogram = 9 km

Height of parallelogram = 5 km

Base of triangle = 6 km

Height of triangle = 3 km

Find:

Greater area

Computation:

Area of parallelogram = Base x Height

Area of parallelogram = 9 x 5

Area of parallelogram = 45 km²

Area of triangle = (1/2)(b)(h)

Area of triangle = (1/2)(6)(3)

Area of triangle = (1/2)(18)

Area of triangle = 9 km²

Parallelogram has greater area.

129,454,475,954 Which digit is in the hundred-thousands place?

Answers

Answer

129,454,475,954

Step-by-step explanation:

it is the four in bold

Answer:

4 is in the hundred-thousands place.

Explanation:

129,454,475,954

(the one that I bolded and underlined out)

What's the rule for the following sequence?

4, 1, -2, -5, …

Answers

Answer:

7-3n

Step-by-step explanation:

the difference between 4, 1 is 1 -4= -3

the difference between 1, -2 is-2-1=-3

The formula is a + (n-1)d => 4 + (n-1)-3

                                        => 4 -3n +3

                                        => 7-3n

Answer:

Subtract -3

Step-by-step explanation:

4--3 is 1, 1--3 is -2, -2- -3 is -5, when subtracting negatives they add together to from a bigger negative.

Please help me with this.

Answers

Answer:

M1=35, M2=77, M3=49, M4=77, M5=62, M6=28

Step-by-step explanatio

Answer:

Angle 1) 35

Angle 2) 77

Angle 3) 49

Angle 4) 77

Angle 5) 62

Angle 6) 28

Step-by-step explanation:

Start with angle 3)

You have 2 angles for this one already, 90 and 41

All angles in a triangle have the sum of 180, therefore

Angle 3 = 180 - 90 - 41

Angle 3 = 49

Next is Angle 6)

You have Angle 3 and 103

Angle 6 = 180 - 49 - 103

Angle 6 = 28

Now Angle 2)

Angle 2 is on the same line as 103 and are supplementary, the sum is 180

Angle 2 = 180 - 103

Angle 2 =  77

Angle 4)

2 and 4 are vertical opposites with the same measurement, so 77

Angle 1)

Using Angles 1 and 2 and 68, they have a sum of 180

Angle 1 = 180 - 77 - 68

Angle 1 = 35

Angle 5)

Now with Angle 4 and 41 thats given, Angle 5 is

180 - 77 - 41 = 62

The answer please for my online class

Answers

Answer:

B. -500

Step-by-step explanation:

[tex] \dfrac{(2a^4)^2}{a^0a^5} = [/tex]

[tex] = \dfrac{2^2a^8}{a^5} [/tex]

[tex] = 4a^3 [/tex]

[tex] = 4(-5)^3 [/tex]

[tex] = 4(-125) [/tex]

[tex] = -500 [/tex]

Question: Find the area of the orange shaded region in terms of pi.

Answers

Answer:

84π sq. units

Step-by-step explanation:

radius of little orange circles = 2

There is a total of 3 little orange circles (1 + 1 + 1/2 + 1/2).

Total area of 3 little orange circles = 3*π*2^2 = 12π

radius of 4 medium white circles = 3

Total of area of 4 medium white circles = 4*π*3^2 = 36π

radius of middle white circle = 6

Area of middle white circle = π*6^2 = 36π

Radius of the big circle = 12

Area of the big circle = π*12^2 = 144π

Area of orange = area of big circle - area of middle white circle - area of 4 medium white circles + area of 3 little orange circles = 144π - 36π - 36π + 12π = 84π

A running track has two semi-circular ends with radius 29m and two straights of length 91.3m as shown. Calculate the total area of the track rounded to 1 DP.

Answers

Answer:

13617.2 m^2

Step-by-step explanation:

5281.5

Please help I will give brainliest

Answers

Answer:

52, 60, 68, 76..

Step-by-step explanation:

Solve graphically: 2x - y = 7 and x - 2y = 5.

Answers

Answer:

(3, - 1)

Step-by-step explanation:

We want to solve the system of equations:

2*x - y = 7

x - 2*y = 5

graphically.

To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:

y = -7 + 2*x

y = -(5/2) + x/2

Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.

Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.

Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)

Two angles are supplementary. One angle is twenty less than four times the other angle. Find the measure of the larger angle.
180°
140°
130°
40°​
NO LINKS ​

Answers

If two angles are supplementary, then they add up to 180.

Angle 1 = twenty less than four times the other angle

Angle 2 = the other angle

Angle 2 = 1x

Angle 1 = 4x - 20

Next, we can add up angles 1 and 2 and set the sum equal to 180.

x + 4x - 20 = 180

5x - 20 = 180

5x = 200

x = 40

Now that we know x, we can find the values of our angles.

Angle 1 = 4(40) - 20 = 160 - 20 = 140 degrees

Angle 2 = 40 degrees

Hope this helps!! :)

which of the following is equal to |-8+4|?

Answers

Answer:

-8+4=-4

sign of bigger number, and -×+=-

the sum of three consecutive natural number is 30 find the numbers​

Answers

Answer:

9 + 10 + 11

Step-by-step explanation:

guess and check

Answer:

9,10,and 11

Step-by-step explanation:

A rectangular-shaped school courtyardhas a length of 280 feet and a width of150 feet wide. What is the approximatelength of a diagonal of the courtyard tothe nearest tenth?

Answers

Answer:

317.6 feet

Step-by-step explanation:

the length of the diagonal can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

280²  + 150²

= 78,400 + 22,500

= 100,900

take the square root of  100,900

= 317.648 feet

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

317.6 to the nearest tenth

Pls, help with this question

Answers

Answer:

[tex]m\text{ arc BC} =32\\m\angle 2=16\\m\angle3=74\\m\angle4=74\\m\angle5=16[/tex]

Step-by-step explanation:

Arc BC is the intercepted arc for the central angle COB, so its measure is the same as the central angle.

Angle 2 is an inscribed angle, so its measure is half the measure of the intercepted arc BC.

Angles 3 and 4 are congruent inside an isosceles triangle (OB = OC, both radii), and the sum of all angles in triangle COB is 180 degrees, so

180 - 32 = 148 (sum of angles 3 and 4)

Each of angles 3 and 4 measure half that remaining 148 degrees.

Angle 5 is one of two congruent angles in an isosceles triangle AOC (OA = OC) so its measure is that of angle 2.

There are 15 plates in the kitchen cabinet. The diameter of each plate is either 9 inches or 12 inches. The diameter of all 15 plates combined is 150 inches.



Which system of equations can be used to find the number of 9-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?

Answers

Answer:

Step-by-step explanation:

The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is

x + y = 15

Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is

9x + 12y = 150

Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.

Which of the following is an arithmetic sequence?

Answers

Answer: {2, -2, -6, -10}

Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.

To break it down:

The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:

-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2

Therefore does not follow the definition of an arithmetic sequence.

The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.

Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.

I hope this helped!

what is 20% of 90???

Answers

Answer:

answer :

18

Step-by-step explanation:

use calculator it's easy to solve

Answer:

18

Step-by-step explanation:

20% of 90 = (20/100 )* 90

                  = 1/5 * 90

                  = 18

Which number is the closest approximation of 39?​

Answers

Answer:

Because 39 is significantly closer to 36 than it is 49, the approximation of the square root of 39 to the nearest whole number would be 6

Step-by-step explanation:

4 people can stay in a hotel for 5 days for $ 240. Find the bill for 5 people staying in
the hotel for a week

Answers

Answer:

$420

Step-by-step explanation:

Divide to isolate the cost

240 / 4 = 60 - amount per person (for 4 people)

60 / 5 = 12 - amount per person per day (5 days)

Multiply using that cost and new values.

12 x 5 = 60

60 x 7 = 420

which number is a composite number 9 5 2 11? (Need it ASAP)

Answers

Answer:

9

Step-by-step explanation:

A composite number is a number that has factors other than 1 and the number itself.

5 has no factors except 1 and 5. PRIME

2 has no factors except 1 and 2. PRIME

11 has no factors except 1 and 11. PRIME

9 can be multiplied by 3 and 3. COMPOSITE

---

hope it helps

HELP!

If the volume of the pyramid is 216 cm, and the length of s is 6 cm, what is the length of the altitude, h?

A. 42cm

B. 36cm

C. 35cm

D. 18cm

Answers

The height of the altitude h is 18 cm.

What is an altitude?

Altitude is the vertical height of an object above some chosen level.

To calculate the length of the altitude h, we use the formula below

Formula:

h = 3v/l²................ Equation  1

Where:

v = Volume of the pyramidl = Length of the baseh = length of the altitude

From the question,

Given:

v = 216 cm³l = 6 cm

Substitute these values into equation 1

h = 3×216/6²h = 18 cm

Hence, the right option  is D. 18 cm.

Learn more about altitude here: https://brainly.com/question/27816517

#SPJ1

Expand the function.
f(x) = (3x - 1)3

Answers

Answer:

[tex](a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2\\\\a = 3x, \ b = 1\\\\(3x-1)^3 = (3x)^3 - (1)^3 - 3(3x)^2(1) + 3(3x)(1)^2\\\\[/tex]

             [tex]= 27x^3 - 1-3(9x^2)+ 9x\\\\=27x^3 -27x^2 +9x -1[/tex]

The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.

We have,

To expand the function f(x) = (3x - 1)³, we can use the binomial expansion formula, which states:

(a + b)³ = a³ + 3a²b + 3ab² + b³

In this case,

a = 3x and b = -1.

Substituting these values into the formula, we get:

[tex](3x - 1)^3 = (3x)^3 + 3(3x)^2(-1) + 3(3x)(-1)^2 + (-1)^3[/tex]

Simplifying further:

(3x - 1)³ = 27x³ - 9x³ + 9x - 1

Therefore,

The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ6

1/5 divided by 2 = ___

Answers

Answer:

0.1

Step-by-step explanation:

According to my calculator lol

Answer:

1/10

Step-by-step explanation:

1/5 / 2/1

1*1/5*2

=1/10

The simple interest on 400 invested for 4 month was 12.what is the yearly rate of interest​

Answers

Answer:

9%

Step-by-step explanation:

If you get 12 for 4 months, then you get 36 for the year/12 months

Annual interest is $12 x 3 Months =36

36/400=9%.

help me plzz pllz help now im on a time line​

Answers

Answer:

Oki, mizuki here to help!

Hi there user, looks like you need help!

Anyways, option B is the correct answer!

Step-by-step explanation:

How to find average speed: distance/time

Since the graph shows 480 meters in 6 seconds, option B should be the correct answer!

Hope this helped!

Step-by-step explanation:

we know that

Speed = Distance/ Time

so the correct answer is B

What is the inverse of the function g(x) = x + 16?

Answers

Answer:

[tex]g {}^{ - 1} (x) = 2 \sqrt[3]{x - 16} [/tex]

choose (2)

Here is an inequality: -2x>10

List some values for x that would make this inequality true.

Answers

Answer:

The right solution is "[tex]x>-5[/tex]".

Step-by-step explanation:

The given inequality is:

⇒ [tex]-2x>10[/tex]

By solving the above expression, we get

⇒ [tex]x >-\frac{10}{2}[/tex]

⇒ [tex]x>-5[/tex]

Thus the above is the correct answer.

what are the points when you graph y = -7x -1

Answers

Answer: I believe you mean x and y intercepts? They are (0, -1) and (-1/7, 0)

Step-by-step explanation:

Plug in 0 for x and y (one at a time) for each intercept. eg The x intercept is at y=0 and the y intercept is at x=0.

complete:
a 20% x ____ = $30

Answers

Answer:

20/100*x=$30

20x/100=$30

x/5=$30

x=$30*5

x=$150

Step-by-step explanation:

20 percent of 150 equals 30 so 150 times 20 percent would give you 30

Does (8,4) make the equation y = x true?

Answers

Answer:

false

Step-by-step explanation:

(8,8) or (4,4)

Other Questions
What is the common denominator of 1/a+1/b in the complex fraction ((1/a-1/b)/(1/a+1/b)? A^2b^2 a-b a+b ab Jimmy and Jennifer are selling pies for a school fundraiser. Customers can buy apple pies and blackberry pies. Jimmy sold 10apple pies and 2 blackberry pies for a total of $80. Jennifer sold 10 apple pies and 3 blackberry pies for a total of $100. Find thecost each of one apple pie and one blackberry pie. Sally travels by car from one city to another. She drives for 30 min at 80 km/hr, 12.0 min at 105 km/hr, and 45 min at 40.0 km/hr. What was the total distance traveled? What makes Arctic Terns fly from one end of the Earth to the other?the subject is actually science. According to the line plot, how much more total time did the students who studied for 3/4 hour spend studying than the students who studied for 1/4 hour? please help ASAP!! I will make u brainliest Why might it be argued that corporations do not have a comparative advantage when investing in real estate as a means of diversification from the core business? what dose the Polysexual Flag stand for "Jefferson is a serious man who cares about how the concepts he teaches in schoolactually work in the world." The cost of a shirt decreases by 18%. After the discount, the shirt costs $61.91. How much did the shirt cost before thediscount? BSC 1005 Do you notice any notice any trends or can you make any generalizations about where certain types of liquids fall on the pH scale? a book about a life of a famous soccer star is a genre or subgenre only one answer. Look at this image of the Taj Mahal in Agra, India. The design of this building was influenced by the architecture of _____.A.ancient GreeceB.Great BritainC.the Islamic worldD.Buddhism In economics, the factors of production describe:A. the economic elements required to produce goods.O B. the total value of all money circulating in the economy.C. the growth in an economy's productivity over time.D. the different ways world economies are organized.SUBMIT Choose the correct forms of the verb in the preterite(past tense) to complete the conversation. A recipe calls for 5/10 kilograms of flour and 9/100 kilograms of suger if Henry measures correctly and combines the two amounts how much flour and suger will he have in all?Explain your thinking then write the answer as a decimalPLEASE ANSWER NOW IM IN FOURTH GRADE Blue Spruce Company is considering two new projects, each requiring an equipment investment of $101,800. Each project will last for three years and produce the following cash flows: Year Cool Hot 1 $40,400 $44,400 2 45,400 44,400 3 50,400 44,400 136,200 $133,200 The equipment will have no salvage value at the end of its three-year life. Blue Spruce Company uses straight-line depreciation and requires a minimum rate of return of 12%. Present value data are as follows: Period 12% 1 0.89286 2 0.79719 3 0.71178 Present Value of an Annuity of 1 Period 12% 1 0.89286 2 1.69005 3 2.40183Required:Compute the net present value of each project. Please help 1< |x 2| < 5 baka barrows 3000 to buy a piano. the simple interest owned at the end of 2yrs is 540. what's the annual interest rate on bakas loan for the pianoa. 4.5%b. 9%c. 11.11%d. 18% help mee please its math Which statement would be MOST important to include in a summary of the article?(A) The Southern slave economy enabled the growth of the Northern economy during the Civil War.(B) Unions challenge the racism of the American South by being open to all workers.(C) The increase in manufacturing jobs in the South is mostly connected to the automobile industry.(0) Anti-union sentiment in the South is spreading across the country and decreasing wages nationwide.