Jaden’s teacher had 4 boxes of pens that each contained y pens. She took 6 pens out of one of the boxes and told her 17 students to divide the remaining pens equally among themselves. Which expression shows the number of pens each student got?

Answers

Answer 1

Answer:

x = (4y-6)/17

where x is the  number of pens each student got.

Step-by-step explanation:

No. of boxes = 4

no. of pen in 1 box = y

total no, of pens in 4 box =  No. of boxes *no. of pen in 1 box = 4y

No. of pen took away by Jaden's teacher = 6

no. of pens left = 4y - 6

This, 4y - 6 pen has to be divided among 17 students.

Let  each student get x pen

thus, total no. of pen got by 17 student  = 17x

This, 17x should be equal to total no. of pens available which is 4y-6

17x = 4y-6

=> x = (4y-6)/17

Thus, expression to represent  number of pens each student got

is x = (4y-6)/17

Answer 2

Answer:

4y-6/17

Step-by-step explanation:

Jaden’s teacher had 4 boxes of pens that each contained y pens.

Number of boxes of pen = 4

Number of pens per box = y

Total number of pens = 4 x y = 4y

She took 6 pens out of one of the boxes told her 17 students to divide the remaining pens equally among themselves.

Total number of pens left = 4y - 6

Number of students = 17


Related Questions

Find the length of the third side. If necessary, write it in simplest radical form.

Answers

Answer:

a = sqrt(7)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2 +3^2 = 4^2

a^2 +9 = 16

a^2 = 16-9

a^2 = 7

Taking the square root

a = sqrt(7)

The base of a solid oblique pyramid is an equilateral triangle with an edge length of s units. Which expression represents the height of the triangular base of the pyramid? Five-halves StartRoot 2 EndRootunits Five-halves StartRoot 3 EndRootunits 5 StartRoot 2 EndRootunits 5 StartRoot 3 EndRootunits

Answers

Answer:

The height of the triangular base of the pyramid is s√3/2 units

Step-by-step explanation:

Here in this question, what we are concerned with is to calculate the height of the equilateral-triangle base of the oblique pyramid.

From the question, we are told that the equilateral triangle has a length of a units.

Let’s have a recall on some of the properties of equilateral triangles;

a. All sides are of equal lengths. Meaning side s is the length of all the sides in this case.

b. All angles are equal, meaning they are 60 degree each.

c. Dropping a perpendicular line from the top vertex to the base length will split the equilateral triangle into two right-angled triangles of angles 60 and 30 each.

So to find the height of this triangular base, we can use any of the two right angled triangles.

Kindly recall that the properties of each would be angles 30, 60 and side length s

so to calculate the height h, we can use trigonometric identities

Mathematically, the trigonometric identity we can use is the sine( side length s represents the hypotenuse, while the height h represents the opposite facing the angle 60 degrees)

Thus; we have

Sine of an angle = length of the opposite/length of hypotenuse

sin 60 = h/s

h = s sin 60

In surd form,

sin 60 = √3/2

Thus;

h = s * √3/2 = s√3/2 units

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

Find the median of data set. Round it to the nearest tenth.​

Answers

Answer:

The median of the data set that you've provided, is 13,350.

Explanation:

13350 is the middle number from the set after writing the set in ascending order. you have 5 numbers on the left of 13350 and 5 on the right, 13350 is the middle one thus it's the median.

After Arranging it in Ascending order

The total number of items is 11

The middle one is 13,350

Therefore the range is 13,350

Must click thanks and mark brainliest

if the cost of 2:dozen copies is Rs 720 , find the cost of 72 copies .

Answers

Answer:

Rs 2160

Step-by-step explanation:

1 dozen = 12 copies

2 dozen = 24 copies ( 2*12)

72÷12 = 6 dozen

72 copies = 6 dozen

1 dozen = Rs 720÷2

1 dozen Rs 360

6 dozen = 360*6

6 dozen = 72 copies = Rs 2160

A beach has two floating docks. One is 650 meters east of the lifeguard stand. The other is 60° southeast and 750 meters from the lifeguard stand. Law of cosines: A triangle is created between a lifeguard stand and 2 floating docks. The distance from the lifeguard stand to one dock is 750 meters, and the distance to the second dock is 650 meters. The angle between the 2 sides is 60 degrees. Rounded to the nearest meter, what is the distance between the docks? Round to the nearest meter. 589 meters 705 meters 792 meters 861 meters

Answers

Answer:

705 meters

Step-by-step explanation:

[tex]cos~60=\frac{650^2+750^2-d^2}{2 \times 650 \times 750} \\2 \times 650 \times 750 \times \frac{1}{2}=50^2(13^2+15^2)-d^2 \\487500=2500(169+225)-d^2\\487500=2500(394)-d^2\\487500=985000-d^2\\487500-985000=-d^2\\d^2=497500\\d=\sqrt{497500}\\or~d\approx705.337 \approx 705~meters[/tex]

Answer:

7 0 5  M E T E R S !!!!!

Step-by-step explanation:

4x + 5y = 19 , 5y - 4x = 38​

Answers

Answer:

Step-by-step explanation:

Adding both equations

4x+5y+5y-4x=19+38

10y = 57

y= 5.7

Subtracting equation i from ii

5y-4x-4x-5y=38-19

-8x=9

x= -0.9

If A = -x + 2x - x + 1 and B = x² + 5, find A + B.

Answers

Answer:

6 + x^2

Step-by-step explanation:

Plug in the values for A and B.

(-x + 2x - x + 1) + (x^2 + 5)

Remove the parenthesis. Combine like terms.

-2x + 2x = 0

1 + x^2 + 5

Combine like terms again.

6 + x^2

Geometry, please answer question ASAP

Answers

Answer:

I think the shape above has an order of 5 because it has a reflectional symmetry of 5.

I hope this helps

I believe it is choice C. order 5

HELPPP pleasssse and thankssssss

Answers

Answer:

VW=4

Step-by-step explanation:

UW=VW+UV

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

5x-5=4x-1

5x-4x=-1+5

x=4

VW=x= 4

I hope I helped you^_^

in a right angle triangle ACB in which AC=X AB=12 and angle ACB=30° Find the value of x​

Answers

Answer:

According to the Pythagoras Theorem-

[tex]hypotenuse^{2}[/tex] = [tex]alltitude^{2} + base^{2}[/tex]

it a cycle is sold for rs 17250 there is again of rs 2250. what is the gain percentage ​

Answers

Answer:

15%

Step-by-step explanation:

profit=sp -cp

cp=sp-profit

=17250-2250

=15000

profit%= profit amount/cp *100%

=2250/15000×100

= 15

Answer:

[tex] \boxed{ \boxed{ \sf{ \bold{ \purple{15\%}}}}}[/tex]

Step-by-step explanation:

Given,

SP ( Selling price ) = Rs 17250

Profit ( P ) = Rs 2250

CP ( Cost price ) = Rs 17250 - Rs 2250 = Rs 15000

Now, let's find the profit / gain percentage :

Profit % = [tex] \sf{ \frac{profit}{cost \: price} \times 100\%}[/tex]

plug the values

⇒[tex] \sf{ \frac{2250}{15000} \times 100\%}[/tex]

Calculate

⇒[tex] \sf{15\%}[/tex]

-----------------------------------------------------------------

▪[tex] \underline{ \underline{ \sf{ \blue{What \: is \: the \: formula \: to \: find \: profit \: percent \: and \: loss \: percent?}}}}[/tex]

We know that , profit and loss are calculated on cost price ( CP ). So, profit percent and loss percent can be calculated by using the following formula :

[tex] \boxed{ \sf{Loss\% \: = \frac{cp - sp}{cp} \times 100\%}}[/tex]

[tex] \boxed{ \sf{ \bold{Profit\% \: = \: \frac{sp \: - \: cp}{cp} \times 100}}}[/tex]

Hope I helped!

Best regards!!

Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?

Answers

Answer:

4 and 34/63

Step-by-step explanation:

we know that he has to walk 8 and 2 thirds of an kilometer to school. so far he has ran 1 10/11 of a kilo.

To solve this you would have to divide 8 2/3 by 1 10/11.

you would have to make them into improper fractions so 26/3 divided by 21/11

your answer will be 4 34/63

Alan covers he distance by walking is   6+25/33 km.

what is distance?

distance is a scaler quantity which means it only have magnitude and no direction if any person or any thing moves from place A to B then it will show the distance between A and B

Given that Alan's school a distance is 8+2/3 km which is 26/3 km,

and he ran one and ten elevenths kilometers

means 1+10/11 = 21/11 km

and walks rest

let distance covered by walking be x

total distance for Alan school = distance covered by running + distance covered by walking

26/3 = 21/11 +x

x = 26/3 - 21/11

x = 223/33 = 6+25/33

Hence rest walking distance for Alan is 6+25/33

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Move ABC so it lies on top of , DEF, GHI and JKL. How many units do you have to move ABC from its original location to coincide with each of the other triangles? Specify how ABC moves up, down, left, or right.

Answers

Answer: triangleDEF - 3 units down

triangleGHI - 5 units left

triangleJKL - 4 units left and 5 units down

Step-by-step explanation:

Becky is buying fabric to make new pillows for her couch. She spends $71.50 on striped fabric and $52.25 on checkered fabric. If both fabrics cost $5.50 per yard, how many total yards of fabric does she buy?

Answers

Answer:

22.5

Step-by-step explanation:

im smart

Beaky bought 13 yards of striped fabric and 9.5 yards of checkered fabric.

Given that,
Becky is buying fabric to make new pillows for her couch. She spends $71.50 on striped fabric and $52.25 on checkered fabric.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Both fabrics cost $5.50 per yard, how many total yards of fabric she buys is to be determined so,
Divide the total cost of the fabric by the cost per yard of $5.50,
Striped fabric = 71.50 / 5.50 = 13 yards
checkered fabric = 52.25/71.50 = 9.5 yards

Thus, beaky bought 13 yards of striped fabric and 9.5 yards of checkered fabric.

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given m||n, find the value of x and y

Answers

Answer:

x = 145, y = 35

Brainliest, please!

Step-by-step explanation:

y = 35 degrees because it and the original 35 degree angle are alternate interior angles. Alternate interior angles are congruent, or the same.

x is supplementary to y. x + y = 180. x + 35 = 180. x = 180 - 35. x = 145

can someone help me asap?!?:( 2x-y=3 x+2y=-6

Answers

X= 2
Y= 0

I think this should be the answer

how to add fraction well explained gets brainliest

Answers

Answer:

Step-by-step explanation:

Here is an example:

2/3 +4/5

Cross multiply

3 times 4 = 12

5 times 2 = 10

These 2 products will be added in the numerators

Now multiply denominators

3 times 5 = 15

Finally form them into a fraction

12+10/15

22/15

This method is not the original way to do it but its just how I do it quickly

Here is the original method:

2/3+4/5

Get common denominators

Multiply the first fraction (both numerator and denominator) by 5

2(5)/3(5) = 10/15

Now multiply the second fraction (both numerator and denominator) by 3

4(3)/5(3) = 12/15

Add those 2 fractions together and you should get 10/15+12/15 = 22/15

Step-by-step explanation:

In this fraction, 1 is called numerator and 8 is called denominator.

Let's say you want to add ⅛ and ⅞. Here, denominators are same, so you just add the numerator and denominator remains the same. So, it becomes (1+7)/8 = 8/8.

If the denominator is different you first make them same, by cross multipling.

Let's say you want to add ¼ and ⅔. Then you multiply the numerator and denominator of ¼ by 3 (because it is the denominator of the second fraction). So, ¼ becomes (1×3)/(4×3) = 3/12. The same goes for ⅔, you multiply the numerator and denominator by 4 (it is the denominator of the other fraction). So, ⅔ becomes (2×4)/(3×4) = 8/12. So, now you add 3/12 and 8/12 the same way you added ⅛ and ⅞ above. Add the numerator, denominator remains the same. So, answer is (3+8)/12 = 11/12.

Hope it helps!!

Please help me with this question asap!!!

Answers

First you need to find the the mid point of AB. x-coordinate=(-7+8)/2=.5 y-coordinate=(-6-9)/2=-7.5. Find the slope between C and the mid point. m=19.5/1.5=13. Plug into slope intercept form. Y-12=13(x-2).
ANSWER!!!! y=13x-14

Answer:

Choice A

Step-by-step explanation:

Can someone help me with this please it’s algebra 2

Answers

Answer:

7 8 9

Step-by-step explanation:

A teacher interested in determining the effect of a new computer program on learning to read conducted a study. One hundred students were randomly assigned to one of tu
groups. The first group used the computer program while the second group did not. Both groups were tested to determine how much their reading levels improved. The results for the two groups were compared. What kind of study is this?

Answers

Answer:

This is an experiment because a treatment was applied to a group.

Step-by-step explanation:

There are two groups, The first group used the computer program while the second group did not therefore this is an experiment. An experiment involves changing an independent variable to see how it affects a dependent variable. The dependent variable in this case  determining the effect of a new computer program on learning while the independent variables was testing with the computer program and not testing with the program.

Let f(x)=x^2+3x-4 and g(x)=x+5. Find f(x)•g(x)

a. x^3+3x^2+16x-20
b. x^3+5x^2+14x-20
c. x^3-8x^2+11x-20
d. x^3+9x^2+19x-20

Answers

Answer:

C is the answer

Step-by-step explanation:

Answer:

none of them is correct. Option c would have been correct if it was +8x² instead of -8x².

write a equation of a line that has a slope of 5 and passes through the point (2,13)

Answers

Answer:

y = 5x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5, thus

y = 5x + c ← is the partial equation

To find c substitute (2, 13) into the partial equation

13 = 10 + c ⇒ c = 13 - 10 = 3

y = 5x + 3 ← equation of line

FORM A CUBIC POLYNOMIAL WHOSE ZEROS ARE -3,-1 AND 2

Answers

[tex](x+3)(x+1)(x-2)=\\(x^2+x+3x+3)(x-2)=\\(x^2+4x+3)(x-2)=\\x^3-2x^2+4x^2-8x+3x-6=\\x^3+2x^2-5x-6[/tex]

calculate the amount and compound interest on rupees 4000 at the rate of 8% per annum compounded annually for 2 years​

Answers

Step-by-step explanation:

To calculate the compound interest we use the formula

C = A - P

Where

A is the amount

P is the principal

C is the compound interest

To find the amount we use the formula

[tex]A = P(1 + \frac{r}{100} ) ^{n} [/tex]

where P is the principal

r is the rate

n is the period

From the question

P = 4000 rupees

rate = 8%

n = 2 years

Substitute the values into the above formula

That's

[tex]A = 4000( 1 + \frac{8}{100} )^{2} [/tex]

[tex]A = 4000 ({1 + 0.08})^{2} [/tex][tex]A = 4000 ({1.08})^{2} [/tex]

A = 4665.6

The amount is 4665.60 rupees

Since the amount is found we can now find the compound interest

C = 4665.60 - 4000

C = 665.6

The compound interest is 665.60 rupees

Hope this helps you

p^2/2+2/q^2)(p^2-2/q^2)

Answers

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               Hi my lil bunny!

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[tex]( \frac{p^{2} }{2} + \frac{2}{2_{q} }) ( p^{2} - \frac{2}{2_{q}})[/tex]

[tex]= \frac{\frac{1}{2}p^{4}q^{4} + p^{2} q^{2} - 4 }{q^{4}}[/tex]

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        Have a great day/night!

                   ❀*May*❀

Answer:

ree

Step-by-step explanation:

a plank is 2m long and30cm wide has volume of 0.018m. what is its thickness

Answers

I think the thickness of the plank is 0.03m

Drag each tile to the correct box.
Arrange the functions in increasing order of their periods.
y=-3tan(x+2pi)
y = 2/3csc(x/4)+6
y=-1/2cos(5x/6+pi)
y=5sec(3x) +6
y =-1/3sin(x/3)
y=-10cot(x/2-2pi)

Answers

Answer:

y=5sec(3x) +6

y=-3tan(x+2pi)

y=-10cot(x/2-2pi)

y=-1/2cos(5x/6+pi)

y =-1/3sin(x/3)

y = 2/3csc(x/4)+6

The functions in increasing order of their periods are given below.

y=5sec(3x) +6

y=-3tan(x+2pi)

y=-10cot(x/2-2pi)

y=-1/2cos(5x/6+pi)

y =-1/3sin(x/3)

y = 2/3csc(x/4)+6

As y = 2/3csc(x/4)+6 gives a high value than the other, it is considered the highest.

What are increasing order and decreasing order?

Ascending order way going up from small value to excessive cost and textual content from A to Z. Descending order manner arranging the numbers from largest to smallest and textual content from Z to A. while the names are arranged for a list, then it is usually arranged in A to Z order, alphabetically.

Steps to find the Period of a Function

If a function repeats over a constant period we say that is a periodic function.It is represented like f(x) = f(x + p), p is the real number and this is the period of the function.Period means the time interval between the two occurrences of the wave.

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HELP ASAP! correct answer gets brainly and 50 points!!!

Solve the equation for π.
A=12πr2

Answers

Answer:

π is equal to 3.14

A=πr^2 is the equation to get the area of a circle where r is the radius.

Answer:

π=A/12r2

Step-by-step explanation:

A=12πr2

divide both sides by 12r2

A/12r2=12r2/12r2

π=A/12r2

help me please ;))) (yes im very rich that's why I'm giving out lots of points -_- (and brainly ;))

Answers

Answer:

(I) 17.25 miles

(ii) 1hr56mins20seconds

(III) 4hrs47mins38seconds

Step-by-step explanation:

(I) read from the lowest distance given

(ii) read from the longest time given

(III) added all times together to get total cycling time

Step-by-step explanation:

here,

shortest distance is 17.25 miles

the longest time is 1:56:20 hrs:mins:secs

total time is 4:47:38

evaluate the following 3^2 divided by (2+1)

Answers

Answer:

God bless you

i don't have nice handwriting

Other Questions
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