a teacher brought to class a pack of notebooks. if her gives his students 5 notebooks to each, he will have 7 notebooks left. if he tries to give each student 7 notebooks, he will be 5 notebooks short. how many students are there in the class?

Answers

Answer 1

Answer:

6 students

Step-by-step explanation:

Let the number of notebooks be $x$ and the number of students be $y.$

If there are 5 notebooks per student, we have:

$x-5y=7$

Simliairly, we have 7 notebooks per person, which is:

$x-7y=-5$

Then, using system of equations, we can add multiply the first equation by $-1$ and then add.

We would have:

$-1(x-7y=-5)=-x+7y=5$

Then, adding gives us:

$2y=12$

$y=6$

Answer 2

There are 6 students in the class.

Let x represent the number of students that are there in the class.

The teacher her gives his students 5 notebooks each, and still has 7 notebooks left.

The number of note books = 5x + 7    (1)

The teacher her gives his students 7 notebooks each, and was 5 notebooks short.

The number of note books = 7x - 5   (2)

Therefore equating equations 1 and 2:

5x + 7 = 7x - 5

7x - 5x = 7 + 5

2x = 12

x = 6

There are 6 students in the class.

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Related Questions

Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed or left-handed students? Explain. Write your answers in simplest form. A comparison of these two fractions is:

Answers

Answer:

3/25

More right handed

3/25 ≤ 22/25

Step-by-step explanation:

There are more right handed people because 88% of them are right handed.

12/100 = 3/25

A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under
the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer in the box to complete the inequality

Answers

Answer:

<-2

Step-by-step explanation:

a 20 pound platter of cookies costs $77. the platter is a mix of peanut butter that costs $4 per pound, sugar that costs $3 per pound, and chocolate chip that’s costs $4.50 per pound. there are two more pounds of sugar cookies than peanut butter. how many pounds of sugar cookies are on the platter?

Answers

Answer: 7 pounds of sugar cookies

X+Y+Z = 20

4x + 3y +4.50z = 77

-x + y + 0z = 2

X+Y+Z = 20                      4x + 3y + 4.50z = 77

-x + y +Oz = 2                   (-x + y + 0z = 2) x 4     (-4x +4y+0z=8)

Add the problems vertically

0x + 2y + z = 22              0x +7y + 4.50 z = 85

Rewrite the problem

2y + z = 22                (Times 7)

7y + 4.50 = 85          (Times -2)

14y +7z = 154

-14y - 9z = -170      

Add Vertically

-2z = -16

divide by -2

z = 8

there are 8 Chocy Chips

if we plug 8 for z in 2y + z = 22      we get y = 7

making 5 be X (Cause X+Y+z = 20)

8 Chocy

7 Sugar

5 Peanut butter

-- Gage Millar, Alg 1/2 tutor

PLEASE HELPP IM BEGGING. Which quadrant is point Fin?
A) 1
B) 11
D) IV

Answers

Answer:

in the forth qadritic ( iv) please mark me

Answer:

4th quadrant

Step-by-step explanation:

As point F has coordinates x positive and y negative

it lies in 4th quadrant

What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
A -5/3
B 3/5
C -1
D 1

Answers

Answer:

-1

Step-by-step explanation:

Ken and Leah are trying to solve a science homework question. They need to find out how much a rock that weighs 4 pounds on Earth would weigh on Mars. They know they can multiply the amount the rock weighs on Earth by 0.38 to find its weight on Mars..

Answers

Answer:

1.52

Step-by-step explanation: your suppose to multiply them I just learned this 2 weeks ago hope this helps

Solve for x
5-3x - 1 = 25

Answers

Answer: Solve for x

x =  -7

Answer:

=  − 7

Step-by-step explanation:

5 - 3x -1 = 25

4 - 3x = 25

-3x + 4 = 25

-3x + 4 - 4 = 25-4

What is the perimeter, in meters (m), of ∆PRT?

Answers

The perimeter of a triangle is the sum of its dimensions

The perimeter of triangle PRT is 36 meters

Start by calculating the side length PT using the following equivalent ratios

[tex]\mathbf{QR : QS = PR :PT}[/tex]

So, we have:

[tex]\mathbf{3 : 8 = 6 :PT}[/tex]

Multiply 3 : 8 by 2

[tex]\mathbf{6 : 16 = 6 :PT}[/tex]

By comparing the ratios, we have:

[tex]\mathbf{PT = 16}[/tex]

So, the perimeter of triangle PRT is calculated using:

[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]

Substitute values for PR, RT and PT

[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]

Add up the figures

[tex]\mathbf{Perimeter = 36}[/tex]

Hence, the perimeter of triangle PRT is 36 meters

Read more about perimeters at:

https://brainly.com/question/6465134

A floor is covered by 800 tiles measuring 10cm^2. How many square tiles of side 8cm would be needed to cover the same floor

Answers

Answer:

125 square tiles

Step-by-step explanation:

(800*10)/8^2=8000/64=125

Find the greatest common factor of 27 and 46​

Answers

The greatest common factor of 27 and 46 is 1

what’s the gcf of 56 and 90

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

[tex] \: \: \: \: \: \: \: [/tex]

What are the values of each variable?

Answers

x is 67
y is 63
z is 85

explanation-
x + 63 = 130 (exterior angle theorem)
-63 -63
x = 67

y and 63 are vertical angles so they are equal.

63 + 85 + z = 180 (triangle sum theorem)
148 + z = 180
- 148 -148
z = 32

9 is what percent of 45?​

Answers

Answer:

20%

Step-by-step explanation:

9/45 = 0.2

0.2*100 = 20

9:45*100 =

( 9*100):45 =

900:45 = 20

So it’s 20

There is currently 9 inches of snow on the ground.
With the thunderstorms today the snow will melt at
a rate of 1.5 inches per hour.

1. Write an equation to represent this situation

2. What do the slave and y-intercept mean

3. After how many hours would all the snow be melted

4. Make a table of this situation to show when all the snow would be melted

Answers

Answer:cold weather pose, there are armies that have and can conduct large-scale, ... to one inch (2.5 centimeters) per hour accumulates.

Step-by-step explanation:

Answer:

1.5 × ? = 9

9÷1.5 = 6

so the answer would be 6 hours

How to predict the charge of monatomic ions.

Answers

Answer:

by gaining or losing electrons

Step-by-step explanation:

hope it helped

brainliest pls



12. The number of miles, y, traveled varies directly as time, x. If a group of tubers floating down the river traveled 9 miles

in two hours, how far would they travel in 5 hours? Write and solve a direct variation equation for this situation

y= 9/2x; x=10/9

y=2/9x; x=22.5

y=2/9x; y=10/9

Oy=9/2; y=22.5

Answers

Answer: y=2/9x; x=22.5

Step-by-step explanation:

Float speed is 9 miles/2 hours, or (9/2) miles/hour (mph).

Distance,y = (Speed)*(Time, x)

y = (Speed)x

y = (9/2)x

If x = 5 hours,

y = (9/2)*5, or 22.5

y=2/9x; x=22.5

The angle measurements in the diagram are represented by the following expressions.

Answers

Answer:

114 degrees

Step-by-step explanation:

6x+12=3x+63

-3x -12 -3x  -12

3x=51

x=17

6(17) +12 = 114

01:36:08
Which two events are independent?
A
B
С
Total
X
15
5
30
50
Y
5
8
15
28
Z
10
7
5
22
Total
30
20
50
100
A and X
A and Y
Band X
B and y
Sede
Save and Exit
y.com/contentViewers AssessmentViewer Activit

Answers

Answer:

check online for more information

What is the value of x in the triangle?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is ~

[tex] \boxed{5 \sqrt{3} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The Triangle stated in the diagram is a right angled Triangle, so

[tex] \tan(30) = \dfrac{x}{15} [/tex]

[tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex]

[tex]x = \dfrac{15}{ \sqrt{3} } [/tex]

[tex]x = 5 \sqrt{3} [/tex]

Which step? I’m sort of confused

Answers

The answer is C) Step 3

Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.

The right steps are:

-4/5 / 8/-3

Flip the second part to multiply:

-4/5 * -3/8

Multiply:

12/40

Simplify:

3/10

I hope this helps!

how to write the ration 4.5 : 2.25 in the form n:1

Answers

Answer:

2:1

Step-by-step explanation:

Change the ratio to a fraction

4.5/2.25

Simplifying it gives us

2/1

Change back to ratio form

2:1

Pls only help if you know the correct answer! Thanks!! :))

Answers

Answer:

The answer is 19.95$

Step-by-step explanation:

With the price being 3.50 per gallon

and irene had filled her car with 5.7 gallons

5.7 + 3.50 = 19.95$

he length of a rectangle is increasing at a rate of 7cm/s7cm/s and its width is increasing at a rate of 2cm/s2cm/s. When the length is 30cm30cm and the width is 20cm,20cm, how fast is the area of the rectangle increasing

Answers

Answer:

20

Step-by-step explanation:

4 ^ 5 (45 - 15) 3 / 12

Answers

Answer:

2/4

Step-by-step explanation:

what is 0.3% of 200

Answers

It’s 60 because you multiple .3 by 200

Suppose you toss a fair coin​ 10,000 times. Should you expect to get exactly 5000​ heads? Why or why​ not? What does the law of large numbers tell you about the results you are likely to​ get?.

Answers

Answer:cottontail

The answer is:You​ shouldn't expect to get exactly 5000​ heads, because you cannot predict precisely how many heads will occur.

However, according to the law of large numbers, the frequencies of events with the same likelihood of occurrence even out, given enough trials or instances.

For example, in the case of  a fair coin, where both head and tail have equal probability of occurrence, as the number of tosses becomes sufficiently large (say 1 million tosses), the ratio heads to tails in the outcome will be extremely close to 1:1.

So according to the law, we should expect to approach a point where half of the outcomes are heads and the other half are tails, as the number of tosses become very large.

Step-by-step explanation:

hope this helps

please help me I really need help

Answers

1) 300 squared cm

2) 105 squared cm

3) about 165.75 squared cm

4) about 211.4 squared cm

What’s the algebraic expression for this

tn tv
1. 1
2. 3
3. 6
4. 10
5. 15

Someone plz help me

Answers

Answer:

1 3 6 10 15

Step-by-step explanation:

brainliest plz

10. El siguiente circulo está dividido en 8 rebanadas iguales. ¿Qué fracción del circulo está sombreada?​

Answers

Answer:

2/8

Step-by-step explanation:

2/8 porque ahy 8 y 2 estan coloridas.Si gustarias simplifar seria .25

Can I get some help on this I have so many assignments to do and I just want to go to sleep

Answers

Hi! It’s me from your other post! Here’s my work for you! It’s been awhile since I’ve done this stuff so I’m really sorry if I get you a bad grade! I just wanted to help out:))
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