equipos, resuelvan los siguientes problemas
hacer paquetes de 6 libretas y paquetes de 6 lápices de co-
ores, los maestros de una escuela se percataron de que habla
mas paquetes de lápices que de libretas, y de que en ambos
casos no sobraba nada. Se sabe que la cantidad original de
bretas está entre 185 y 190, y la de lápices, entre 220 y 225.
¿Cuál será la cantidad original de libretas y lápices de colores?
y​

Answers

Answer 1

Answer:

186 notebooks; 222 pencils

Step-by-step explanation:

1. Notebooks

The number of notebooks must be between 185 and 190.  

To have no notebooks left over, the number of 6-packs must be an integral multiple of six.

The only integral multiple of six between 185 and 190 is 186.

186÷ 6 = 31

So, there are 31 packs containing a total of 186 notebooks.

2. Pencils

The number of pencils must be between 220 and 225.  

To have no pencils left over, the number of 6-packs must be an integral multiple of six.

The only integral multiple of six between 220 and 225 is 222.

222÷ 6 = 37

So, there are 37 packs containing a total of 222 pencils.

There were originally 186 notebooks and 222 pencils.

 


Related Questions

How to find area in feet

Answers

Answer:

The way to calculate a rectangular area is by measuring the length and width of your area then multiplying those two numbers together to get the area in feet squared (ft 2).

Step-by-step explanation:

might be the anwser ion know

Answer:

Area is length x width.

Step-by-step explanation:

Lets say you have a rectangle. The length is 7 feet and the width is 4 feet. 7 x 4 is 28. This is how you find the area.

Mrs. Fulcher had 14 gallon of milk, and she bought 12 gallon more. Her family then drank 58 gallon of milk. How much milk does Mrs. Fulcher have left?

Answers

Answer:

Mrs. Gallon is left with -22 gallon of milk

Step-by-step explanation:

Mrs. Fulcher had 14 gallon of milk

She brought 12 gallon of more milk

Milk consumed by her family - 58 gallon

Milk left with Mrs. Fulcher = 14 + 12 -58  = -22

A jazz concert brought in ​$167,000 on the sale of 8,200 tickets. If the tickets sold for $15 and $25 ​each, how many of each type of ticket were​ sold?

Answers

Answer:

x=3800, y=4400

Step-by-step explanation:

X+y=8200 equation 1

15x+25y=167000 equation 2

x=8200-y isolate x in equation 1

15(8200-y)+25y=167000 substitute value of x from equation 1 into equation 2

123000-15y+25y=167000

10y=44000

y=4400

solve for x by inserting y value into either equation.

x+y=8200

x+4400=8200

x=3800

Check answer:

15x+25y=167000

15(3800)+25(4400)=167000

57000+110000

167000=167000

how do i do this 0.7x = 1.8 − 0.4x

Answers

Answer:

x = 1.636364

x = 1.64 (simplified)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.7x=1.8−0.4x

0.7x=1.8+−0.4x

0.7x=−0.4x+1.8

Step 2: Add 0.4x to both sides.

0.7x+0.4x=−0.4x+1.8+0.4x

1.1x=1.8

Step 3: Divide both sides by 1.1.

1.1x/1.1=1.8/1.1

x=1.636364

x = 1.64 (simplified)

Answer:

x = 1.636364

Explanation:

0.7x = 1.8 − 0.4x

Simplify both sides of the equation

0.7x = 1.8 − 0.4x

0.7x = 1.8 + −0.4x

0.7x = −0.4x + 1.8

Add 0.4x to both sides

0.7x + 0.4x = −0.4x + 1.8 + 0.4x

1.1x = 1.8

Divide both sides by 1.1

1.1x / 1.1 = 1.8 / 1.1

x = 1.636364

- PNW

Solve for b.
-11=
-47 - 12h

Answers

Answer:

h = -3

Step-by-step explanation:

-11 = -47 - 12h

First you need to get "h" alone on one side.

To do that, you need to add 47 to both sides:

47-11 = -12h

36 = -12h

Next, you need to divide -12 by both sides, to get "h" alone:

36/-12 = -12h/-12

-3 = h

HELP MATH STIKES AGAIN!
Hotel A hotel charges $140 per night for the first two people and $10 for each additional person. Hotel B charges $80 per night for the first two people and $20 for each additional person. At how many additional people per night is the rent for the two rooms the same.
I will mark brainlyist for correct answer

Answers

Answer:

9

Step-by-step explanation:

Someone help and plz make sure the answer is right plz :)

Someone help and plz make sure the answer is right plz :)

Answers

Answer:

I think d maybe or a I am pretty sure that it is a negative number

The mean of 3 numbers is 10. 2 of the numbers are 7 and 4. Find the 3 number

Answers

Answer:

The Third number is 19

Step-by-step explanation:

7 + 2 = 11 then add 19=

11 + 19 = 30 After divide by three because there are 3 numbers

30.6 ÷ 3 = 10

Remember: To find the mean you add all the numbers together and divide by how many numbers are there.

For example: you have 2, 5, 8 you add them together which is 15. There are 3 numbers so you divide 15 by 3 which is 5.

pls answer. will mark as branliest

pls answer. will mark as branliest

Answers

Answer:

80°

Step-by-step explanation:

Angle CBD = 100°

Angle ABC = 180° - 100° = 80°

Angles on a straight line add up to 180°.

Angle ABC and angle EFB are corresponding angles, so they are equal.

= 80°

Answer:

A) x = 80 degrees

B) <CBD = <BFH because of corresponding angles theorem. After that, To find the value of x, We subtract 100(The measure of <BFH) from 180 because x and <BFH were lying on a straight line.

Find the oth term of the geometric sequence 4, -16,64, ...
CAN SOMEONE HELP

Find the oth term of the geometric sequence 4, -16,64, ...CAN SOMEONE HELP

Answers

Answer:

262144

Step-by-step explanation:

The sequence increases by a multiple of -4

Therefore, you can either do 4⁹ or you can multiply by -4 until you have done that 9 times

The spinner above is used in a game. What is the theoretical probability of the given event with one spin?

P(a multiple of 3)
a.
Three-fourths
c.
StartFraction 3 Over 8 EndFraction
b.
One-fourth
d.
0



Please select the best answer from the choices provided

Answers

The correct answer is option d. The theoretical Probability of spinning a multiple of 3 with one spin is 0.

The theoretical probability of an event, we need to identify the number of favorable outcomes (the desired event) and the total number of possible outcomes.

In this case, the event is spinning a multiple of 3 on the spinner. Let's examine the possible outcomes and identify the favorable outcomes:

Possible outcomes on the spinner: {1, 2, 3, 4, 5, 6}

Favorable outcomes (multiples of 3): {3, 6}

The total number of possible outcomes is 6, and the number of favorable outcomes is 2.

The theoretical probability of spinning a multiple of 3 can be calculated as:

P(multiple of 3) = (Number of favorable outcomes) / (Total number of possible outcomes)

P(multiple of 3) = 2 / 6

Simplifying the fraction, we get:

P(multiple of 3) = 1 / 3

Therefore, the correct answer is option d. The theoretical probability of spinning a multiple of 3 with one spin is 0.

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PLEASE HELP I NEED IT AS A FRACTION “your answer should be a simplified proper fraction like 3/5 a simplified improper fraction like 7/4” PLEASE HELP!!!

PLEASE HELP I NEED IT AS A FRACTION your answer should be a simplified proper fraction like 3/5 a simplified

Answers

Hopes this helps you !

PLEASE HELP I NEED IT AS A FRACTION your answer should be a simplified proper fraction like 3/5 a simplified

what is (-7+3i)/(-6-6i) show in steps

Answers

The steps for the final expression.

Step 1: (-7 + 3i) / (-6 - 6i)

Step 2: (-7 + 3i)x(-6 + 6i) / (-6 - 6i)x(-6 + 6i)

Step 3: (42 - 42i - 18i - 18) / (36 + 36)

Step 4: (24 - 60i)/72

Step 5: 24/72 - (60/72)i

Step 6: 1/3 - (5/6)i

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(-7 + 3i) / (-6 - 6i)

Rationalize the denominator.

= (-7 + 3i) / (-6 - 6i) x (-6 + 6i) / (-6 + 6i)

= (42 - 42i - 18i - 18) / (36 + 36)

= (24 - 60i) / 72

= 24/72 - (60/72)i

= 1/3 - (5/6)i

Thus,

The final expression is 1/3 - (5/6)i

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Help pleaseee
find the area of the figure.

Help pleaseeefind the area of the figure.

Answers

Answer:144 in.

Step-by-step explanation:

Help
I need this now

HelpI need this now

Answers

Answer:

aint no way :)))

Step-by-step explanation:

Answer:

eyes:10 each

nose:7.5

mouth:25.5

eyebrows:2 each

ears:10.5

face:280

Step-by-step explanation:

just use the formulas

pls brainleist i want to level up

What is 13.5 rounded to the nearest whole
number?

Answers

The nearest whole number after rounding is, 14

What is Rounding of a number ?

Rounding a number to the nearest tenth means finding the nearest multiple of 0.1.

To do this, you need to look at the digit in the hundredths place (the second digit after the decimal point) of the number you want to round.

If that digit is 5 or greater, you round the number up by adding 0.1 to the nearest whole number.

If that digit is 4 or less, you round the number down by leaving the nearest whole number unchanged.

For example, rounding 3.456 to the nearest tenth gives 3.5, while rounding 3.444 to the nearest tenth gives 3.4.

Given that,

The decimal number  13.5,

after using rules of rounding,

it can be rounded as 14

Hence, the nearest whole number is 14

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PLEASE HURRY!! 30 POINTS
Sunnyville's community pool contains 5.2 gallons of water. Jorge will begin filling Sunnyville's community pool at a rate of 3.3 gallons per second. Oceanview's Community Pool contains 45.2 gallons of water. Brayden will begin draining Oceanview's Community Pool B at a rate of 0.7 gallon per second. After how many seconds will both pools contain the same amount of water? 10 s 12 s 15 s 50 s

Answers

Answer:

10 seconds

Step-by-step explanation:

Let the time be x

Sunnyville's community pool volume

5.2 + 3.3x

Oceanview's Community Pool volume

45.2 - 0.7x

They become equal after x seconds:

5.2 + 3.3x = 45.2 - 0.7x3.3x + 0.7x = 45.2 - 5.24x = 40x = 40/4x = 10 seconds

Answer:

10s

Step-by-step explanation:

I had the question

square room is covered by a number of whole rectangular slabs of sides Calculate the least possible area of the room in square metres (3mks )

Answers

The least possible area of the room in square metres is Nlw, where N is the smallest integer that satisfies the equation LW = Nlw.

Let the length, width, and height of the square room be L, W, and H, respectively. Let the length and width of each rectangular slab be l and w, respectively. Then, the number of slabs required to cover the area of the room is given by:

Number of Slabs = (LW)/(lw)

Since we want to find the least possible area of the room, we can minimize LW subject to the constraint that the number of slabs is an integer. To do so, we can use the method of Lagrange multipliers:

We want to minimize LW subject to the constraint f(L,W) = (LW)/(lw) - N = 0, where N is a positive integer.

The Lagrangian function is then:

L(L,W,λ) = LW + λ[(LW)/(lw) - N]

Taking partial derivatives with respect to L, W, and λ and setting them to zero yields:

∂L/∂L = W + λW/l = 0

∂L/∂W = L + λL/w = 0

∂L/∂λ = (LW)/(lw) - N = 0

Solving these equations simultaneously, we get:

L = sqrt(N)l

W = sqrt(N)w

Therefore, the least possible area of the room is:

LW = Nlw

where N is the smallest integer that satisfies this equation.

In other words, the area of the room is a multiple of the area of each slab, and the least possible area of the room is obtained when the room dimensions are integer multiples of the slab dimensions.

Therefore, the least possible area of the room in square metres is Nlw, where N is the smallest integer that satisfies the equation LW = Nlw.

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Question 4(Multiple Choice Worth 2 points)
(Comparing Data MC)

The data given represents the height of basketball players, in inches, on two different girls' teams.


Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Super Stars
66 68 62
63 47 64
65 50 60
64 65 65
58 60 55


Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Super Stars, with a mean of about 60.8 inches
The Allstars, with a median of 68 inches
The Super Stars, with a median of 63 inches

Answers

Answer:

The answer to your problem is, A. The Allstars, with a mean of about 67.1 inches

Step-by-step explanation:

Allstars mean height:

= (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15

= 1007 / 15

= 67.6 inches

Super Stars mean height:

= (66 + 68 + 62 + 63 + 47 + 64 + 65 + 50 + 60 + 64 + 65 + 65 + 58 + 60 + 55) / 15

= 912 / 15

= 60.2 inches

We can see that the Allstars team has a higher mean height than the Super Stars team, with an average of 67.6 inches compared to 60.2 inches. Therefore, the Allstars team typically has the tallest players

Thus the answer to your problem is, A. The Allstars, with a mean of about 67.1 inches

Antonio collected data on airline flights. The equation for his set of data is M = 1,754 – 550h, where M represents the distance a plane is from its destination and h represents the time in hours. What is the meaning of the y-intercept?

A.the distance the plane has traveled after 1 hour
B.the distance the plane traveled per hour
C.the length of time the plane takes to reach its destination
D.the distance from the destination before the plane departs

Answers

1,754 represents the y-intercept that the distance the plane traveled per hour

How to obtain the equation for the line of best fit?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the coefficients are given as follows: m is the slope, representing the rate of change of the output of the function relative to the input. b is the y-intercept, representing the value assumed by the function the input assumes a value of zero.

We are given that the equation for his set of data is M = 1,754 – 550h, where M represents the distance a plane is from its destination and h represents the time in hours.

Therefore, M = 1,754 – 550h

Here we can see that 1,754 represents the y-intercept meaning that the distance the plane traveled per hour

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What is the slope of the line passing through the two points (-5,0) and (0,19)

Answers

Slope m=(y2-y1)/(x2-x1)
(x1,y1)=(-5,0)
(x2,y2)=(0,19)
m=19-0/0-(-5)
m=19/5=3.8
Slope is 3.8
Good luck.

What is the second step to solving this equation?
6.6x + 2 = 8.6
Please I need help

Answers

Answer

Step 2: Divide both sides by 6.6.

6.6x/6.6 = 6.6/6.6

The second step is  dividing both sides of the equation by 6.6 to solve the equation 6.6x + 2 = 8.6.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The first step to solving the equation is to isolate the variable term (in this case, 6.6x) on one side of the equation by subtracting 2 from both sides of the equation.

So, the equation becomes:

6.6x = 8.6 - 2

6.6x = 6.6

In the second step we solve for x,

we need to isolate it on one side of the equation.

We can do this by dividing both sides of the equation by 6.6:

x = 6.6/6.6

Simplifying the right side of the equation, we get:

x = 1

Therefore, the second step is  dividing both sides of the equation by 6.6 to solve the equation 6.6x + 2 = 8.6.

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the diagram shows a circle of radius 3cm drawn inside a square.write down the exact value of the following and state whether the answer is rational or not

Answers

Answer:

The circumference of the circle

Step-by-step explanation:

HELP I WILL MARK YOU GOOD!!

HELP I WILL MARK YOU GOOD!!

Answers

Answer:

f = 2 1/4c

Step-by-step explanation:

Number of cups of flour is proportional to the number of cakes

Number of cups of flour = f

Number of cakes = c

Therefore,

f = k * c

Where,

k = constant of proportionality

Number of cups of flour = 22 1/2 cups

Number of cakes = 10 cakes

f = k * c

22 1/2 = k * 10

45/2 = 10k

k = 45/2 ÷ 10

= 45/2 × 1/10

= (45*1) / (2*10)

= 45/20

= 2 5/20

k = 2 1/4

The equation is

f = k * c

f = 2 1/4 * c

f = 2 1/4c

Amy will be using a t-chart to find 3 points for this linear function: f(x)= 3x -2. Which chart below is the correct answer for this function. WILL GIVE BRAINLIEST

Answers

The points for a linear function are (0, -2), (1, 1) and (2, 4)

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Given that the relationship between f(x) and x is given by:

f(x) = 3x - 2

When x = 0: f(0) = 3(0) - 2 = -2

When x = 1: f(1) = 3(1) - 2 = 1

When x = 2: f(2) = 3(2) - 2 = 4

The points for a linear function are (0, -2), (1, 1) and (2, 4)

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Answer:

(0, -2) (1, 1) (-3, -11)

Step-by-step explanation:

Tell which line contains each point for triangle ABC.
the circumcenter
the orthocenter
the centroid
the incenter

Tell which line contains each point for triangle ABC.the circumcenterthe orthocenterthe centroidthe incenter

Answers

5. The line that contains the circumcenter in ΔABC is: line k.

6. The line that contains the orthocenter in ΔABC is: line m.

7. The line that contains the centroid in ΔABC is: line l.

8. The line that contains the centroid in ΔABC is: line n.

What is the Circumcenter of Triangle?

Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.

The line that contains the circumcenter in ΔABC is: line k.

What is the Orthocenter of a Triangle?

Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.

The line that contains the orthocenter in ΔABC is: line m.

What is the Centroid of a Triangle?

The centroid of a triangle is a the point of intersection where all three medians of a triangle. Medians of a triangle connects the vertices to the midpoints of the opposite sides of a triangle.

The line that contains the centroid in ΔABC is: line l.

What is the Incenter of a Triangle?

The incenter of a triangle is the point in a triangle where all three angle bisectors of the vertices of a triangle.

The line that contains the centroid in ΔABC is: line n.

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The process of mitosis in a paragraph FOR SCIENCE

Answers

Answer:

Mitosis means threads, and it refers to chromosomes while the cell starts to divide. Mitosis is when a eukaryotic cell's nucleus splits.

The pair of points is on the graph of an inverse variation. Find the missing value.


(6, 12) and (9, y)


A.
4.5


B.
18


C.
8

Answers

Answer:

C.  8

Step-by-step explanation:

An inverse variation is:

\(\boxed{k=xy\; \;\;\textsf{or}\;\;\;y=\dfrac{k}{x}}\)

Given points:

(6, 12)(9, y)

Substitute point (6, 12) into  k = xy  to find the value of k:

\(\implies k=6 \cdot 12=72\)

Substitute point (9, y) and the found value of k into  k = xy  and solve for y:

\(\implies k=9 \cdot y\)

\(\implies 72=9 \cdot y\)

\(\implies y=\dfrac{72}{9}\)

\(\implies y=8\)

Therefore, the missing value is y = 8.

The missing value of y is 18.

What is proportional relationship?

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well.

Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

To find the inverse variation:

We use the formula of a proportionality.

y ∝ x

Simplifying to equation,

y = kx,

where k is some constant.

To find the value of k:

Substitute the value of x and y to the equation.

For (6, 12),

y = kx

k = y/x

k = 12/6

k = 2.

Now, the equation is,

2 = y/x.

For  (9, y),

2 = y /9

y = 2 x9

y = 18

Therefore, the value of y is 18.

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Jordan ran 7/8 mile on Monday and 5/6 mile on Tuesday.

How much farther did Jordan run on Monday than on Tuesday?

Enter your answer as a fraction in simplest form

Answers

Answer:

\( \frac{1}{24} miles \\ \)

Step-by-step explanation:

\( \frac{7}{8} - \frac{5}{6} = \frac{1}{24} \)

Which algebraic expression represents the phrase "six less than a number"?

Answers

Answer:

\(x-6\)

Step-by-step explanation:

We can let the 'number' in the expression be equal to \(x\). Something 6 less than x would x minus 6, or \(x-6\).

Answer:

x-6

Step-by-step explanation:

Let the number be x

Less than means subtract from

x-6

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