1. 37.8 x 14 = ______ x 14 - 2.9 x 14
2. The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?
Pls add explaination

Answers

Answer 1

Answer:

2

Step by step explanation:

Given: The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?

Find out: how many students were there in the class room after one student left

Solution: Let the total number of remaining student be= n

Let the total number of remaining student be= nAnd the sum of mass of all the students be = x kg

So,

[tex] \frac{x}{n + 1} = 35.1[/tex]

Make x the subject of formula

[tex]--› \: x = 35.1(n + 1)[/tex]

And

[tex]--› \: \frac{x - 32.3}{n} = 36.3[/tex]

[tex]--›x - 32.3= 36.3n[/tex]

[tex]--› \: 35.1(n + 1) - 32.3 = 36.3n[/tex]

[tex]--› \: 35.1n + 35.1 - 32.3 = 36.3n[/tex]

[tex]--› \: 2.8 = 1.2n[/tex]

divide both side by n

[tex]n = \frac{2.8}{1.2} [/tex]

N = 2.333

so total number of students remaining is 2


Related Questions

HELP ME PLEASE I AM DESPERATE LOTS OF POINTS!!!!! BRAINIEST IF CORRECT PLEASE!!!!
Is this angle supplementary or congruent?

Answers

Answer

Step-by-step explanation:

the answer is supplementary because congruent are slant angles

Does the equation
2x+2x+2=4x+2
have one solution, many solutions or no solution?

Answers

Answer:

Many solutions

Step-by-step explanation:

If it is manipulated, you simply get:

2x + 2x + 2 = 4x + 2

0 = 0

So, there are infinitely many solutions, as anything you plug in for x will be canceled as there are 4 x's on both sides.

the math club is having a bike sale to raise money for the regional math tournament.the make a $5 for each cake sold. the booster club gave a $100 donation

Answers

Answer:

20 cakes were sold

Step-by-step explanation:

I assume the question is how many cakes did they sell

set up equation

$5 per cake equals $100

5x = 100

divide both sides by 5

5x ÷ 5 = 100 ÷ 5

1x = 20

x = 20

A card shaped like a rectangle has an area of 48 square centimeters. It has a width of 8 centimeters. How long is the card?​

Answers

Answer:

The card is 6 centimeters long.

Step-by-step explanation:

This is relatively easy. Just divide Area / Width since A = L x W

48 / 8 = 6

Is it zero or u defined?

Answers

Answer:

0 slope as it is a horizontal line when you graph it

Step-by-step explanation:

Pls help hw came late and i dont want a detention

Answers

Answer:

180

Step-by-step explanation:

they are vertical angles

Answer:

A) 108

B) C virtical opisite angles

Step-by-step explanation:

A card factory puts 7,000 greeting cards in each shipment. How many greeting cards will there be in 5 shipments?

Answers

Answer:

35000

Step-by-step explanation:

multiple the the cards per shipment by the number of shipments

7000x 5

=35000

Answer: Ok I have two ways for this

1. If you mean how many will there be for each shipment: 1,400

If you mean how many will there be for 5 shipments since there is 7,000 each shipment then 35,000

Step-by-step explanation:

1. 7,000 ÷ 5

2. 7,000 x 5

100 POINTS!!!

Which company charges less per hour?


A. Company A

B. Company B

EXPLAIN

Answers

Answer: Company B charges less.

Explanation: This is because the fee plus the amount charged per hour equals 75 for Company B but If we do this with company A it’s 90 dollars so Company B is cheaper.
Company A charges less

Example- For 3 hours
Company A: 40x3=120 adding on the fee of $170
Company B: 50x3=150 adding on the fee of $175

Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division. There are 4 people and the total amount is 29.16


Pls help lol

Answers

okay so I don’t have a pen or paper so i’m going to have to write out every step on my phone, let me know if I lose you at any point.

the fraction would be 4/29.16, because you need to equality split the bill between 4 people.

the long division would be:

____________
4|29.16

4 does not go into 2 so place a zero over 2.

0___________
4|29.16

4 goes into 29 seven times, so place 7 over 9. subtract 7x4 from 29.16.

07._________
4|29.16
(-)28
————————-
= 1.16

4 goes into 11 (ignore the decimal and the 6 for now) 2 times. subtract 2x4 from 11.

07.2________
4|29.16
(-)28
————————-
= 1.16
(-) 8
————————-
= .36

4 goes into 36 9 times. subtract 4x9 from 36.

07.29_______
4|29.16
(-)28
————————-
= 1.16
(-) 8
————————-
= .36
(-) 36
————————-
= 0

so your answer would be each person would pay $7.29. I hope this makes sense!!

Find the area
Help please!!

Answers

Answer:

6

Step-by-step explanation:

the area is six lol yep that's it

Answer:

6 m

Step-by-step explanation:

Multiply the short side by the long side. 2*3=6

A local amusement park sells large drinks for $5.75. the park offers a large commemorative drink container for $22.99. attendees who purchase the commemorative container get refills up to 12 times for $2.09 each during the day of purchase. Let x represent the number of large drinks consumed, f(x) represent the amount spent
SOMEONE PLS HELP THIS IS DUE IN AN HOUR

Answers

Answer:

5.75x = f(x)

22.99 + 2.09x = g(x)

Step-by-step explanation:

Divide them into two parts:

Normal drinks and commemorative drinks

- With normal, only $5.75 is related (Only one drink at a time so 5.75x)

- With commemorative, $22.99 and $2.09 are related (A one time fee of $22.99, then a refill of $2.09; so 22.99 + 2.09x)

Simplify . Show your work! ILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:

[tex]\frac{25}{16}[/tex]  

I hope this helps!

50 POINTS FOR CORRECT AWNSER

Answers

Take 2 points

(-7,0)(0,-2)

Slope:-

[tex]\\ \sf\longmapsto \dfrac{-2}{7}=\dfrac{-2}{7}=m[/tex]

Now find equation of line in point slope form

[tex]\\ \sf\longmapsto y=-2/7(x+7)[/tex]

[tex]\\ \sf\longmapsto y=-2/7x-2[/tex]

Put (0,0)

[tex]\\ \tt\Rrightarrow 0=0-2[/tex]

[tex]\\ \tt\Rrightarrow 0\neq -2[/tex]

shaded region is away from origin .

So the inequality is

[tex]\\ \sf\longmapsto y\leqslant -2/7x-2[/tex]

Answer:

Take 2 points

(-7,0)

(0,-2)

Slope:-

Now find equation of line in point slope form

Put (0,0)

shaded region is away from origin .

So the inequality is

this answer is correct i got it right when i used it.

Olivia and Jessica have in total half as many sweets as Fran and Gary have in total.
14
Fran and Gary share their sweets in the ratio 2:3
Olivia and Jessica share their sweets in the ratio 9: 1
Fran got w sweets.
Gary got x sweets.
Olivia got y sweets.
Jessica got z sweets.
Find, in its simplest form, w:x:y:z

Answers

w: x: y : z= 4 : 6 : 9 : 1.

The simplest form of w : x : y : z will be;

⇒ w : x : y : z = 20 : 30 : 9 : 1

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Olivia and Jessica have in total half as many sweets as Fran and Gary have in total.

Now,

Let Fran got w sweets.

Gary got x sweets.

Olivia got y sweets.

Jessica got z sweets.

So, We get;

⇒ (y + z) = 1/2 (x + w)    ..(i)

Here, w = 2a and x = 3a

And, y = 9b and z = b

Substitute in equation (i), we get;

⇒ (y + z) = 1/2 (x + w)    

⇒ (9b + b) = 1/2 (2a + 3a)  

⇒ 10b = 1/2 (5a)

⇒ 20b = 5a  

⇒ 10b = a

So, w = 20b and x = 30b

Or, w : x = 20b : 30b

           

So, w : x: y: z = 20b : 30b : 9b : b

                     = 20 : 30 : 9 : 1

Thus, The simplest form of w : x : y : z will be;

⇒ w : x : y : z = 20 : 30 : 9 : 1

Learn more about the ratio visit:

https://brainly.com/question/2914376

#SPJ2

I need this ASAP you need to do it for y

Answers

Answer:

Step-by-step explanation:

The outside temperature at midnight today in Polina's hometown was 18 degrees Fahrenheit. The temperature increases by 1.2 degrees Fahrenheit each hour over the next 15 hours. Polina's school does not send students outside for recess if the outside temperature is 32 degrees Fahrenheit or lower. Recess at her school always starts on the half hour or hour. Which statement is true about recess at Polina's school?

Answers

Answer:

only students who have recess at 12 p.m. or later may go out

Step-by-step explanation:

Let the time after midnight be represented by t, and the temperature be y. Since the temperature increases by 1.2 degrees Fahrenheit each hour, the time taken to reach 32 degrees Fahrenheit can be gotten from:

y = 1.2t + 18

put y = 32

32 = 1.2t + 18

1.2t = 14

t = 14/1.2 = 11.67 hours

Since the recess starts at half hour or hour, hence the recess would start at t = 12 hours, i.e. at 12 p.m.

Hence only students who have recess at 12 p.m. or later may go out

Answer:

i know im late but here only students who have recess at 12 p.m. or later may go out

Step-by-step explanation:

a polygon with sides 180°/x-2 has the ratio of interior angle to exterior angle 3:1. find the value of x.?

Answers

Answer:100,000

Step-by-step explanation:

Two integers are multiplied , and their product is a positive number . What must be true about the two integers ? Give an example

Answers

Both integers being multiplied are negative.
Both integers being multiplied are positive.

A garden table and a bench cost $659 combined. The garden table costs $91 less than the bench. What is the cost of the bench? (Please help)

Answers

Answer:

$294

Step-by-step explanation:

Garden table = x

bench = x-91

x + (x-91) = 659

2x = 750

x= 375

375 - 91 = 284

Okay lets say that the bench is B
B + B-91 = 659
2B -91 = 659
Add 91 to both sides of the equation to isolate the 2B
2B - 91 + 91 = 659 + 91
2B = 750
Divide both sides by 2 to get 1B
2B ÷ 2 = 750 ÷ 2
B is 375
Therefore the bench was $375 and the garden table was $284.

find the area of the given figure?​

Answers

Answer:

19

Step-by-step explanation:

The first thing is recognize that it is a rectangle and two triangles with given bases and heights.

So the first step is finding the area of both triangles, which you can do with the formula for the area of a triangle:

A = (BH)/2

Because the height is two, the area is going to be equal to the base.

The sum of the two triangles is 7.66.

Next you want to find the area of the rectangle, you can do so using the formula:

A = BH

A = 6(2)

The area of the rectangle is 13.

Find the sum of the areas of the three shapes.

3.30 + 4.36 + 12 = 19.66

Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.

Stephan talked for
minutes.

Answers

Answer:

Stephen Talked for 138 minutes.

Step-by-step explanation:

(0.10)m + 10.00 = 23.80         Given

              -10.00   -10.00      

            (0.10)m = 13.80          Subtraction Property of Equality

              /0.10       /0.10        

                      m = 138             Division Property of Equality

Answer: Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.

Stephan talked for ✔ 138 minutes.

HELP DUE ASAP!!!! TY

Answers

Answer:

factor = x^3-5x+3

Step-by-step explanation:

you need to use long division to solve it.

The perimeter of a room is 14th. Find the total cost of painting the four walls at the rate of rs 60 per m square .If the height of the room is 4m​

Answers

Answer:

Rs 6720.

Step-by-step explanation:

Given,

Perimeter of room ( P ) = 14m

Height of room ( H ) = 4m

Area of 4 wall = 2 × 14 ×4

= 112m sq.

Now,

Cost = 112 × 60

= Rs 6720.

um help plz apprecate it

Answers

Answer:

4.35 / 100 = 0.0435

Step-by-step explanation:

We find it useful to convert 4.35% to decimal, because if you need to find 4.35% of any number, you can simply multiply that number with 0.0435.

evaluating expressions (4.6*10^9)+(1.7*10^7)

Answers

461.7 * 10^7

Or 4.617 * 10^9

Hannah's town had an election last month. 86 people voted in the election and 14 did not vote. What percentage of the people voted?

Answers

Answer:

86%

Step-by-step explanation:

86+14=100

Since 100 is a very common percentage number, then 86% of people voted, and 14% did not.

Hope this helps! :)

Have a please day and remember to keep smiling! :)

Can I please have brainliest? I really want to level up

Juan makes $9 per hour at his job. The equation represents how much money he made yesterday. T=9h if Juan make (T) $76.50 yesterday, how many hours did he work?

Answers

Answer:

$8.50

Step-by-step explanation:

Set to $76.50:

76.5 = 9h

divide by 9

8.5 = h

He worked 8 and a half hours

100 POINTS!!!

What is the slope of f(x) and g(x)
f(×) = 5x - 2

A. The slope of f(x) is 5 and the slope of g(x) is 2.

B. The slope of f(x) is 2 and the slope of g(x) is 5.

C. The slope of f(x) is -2 and the slope of g(x) is - 3.

D. The slope of f(x) is -3 and the slope of g(x) is -2.

EXPLAIN

Answers

Answer:

A.

Step-by-step explanation:

the slope of a line is behind the x in a linear equation.

f(x)=5x-2 is a linear equation

So, the slope of f(x) is 5.

Since A is the only choice with this answer, A is correct.

A hundred random household were asked which of the following sports were their favorite? Football (1), Baseball (2), soccer (3), Basketball (4), and other (5), were the only possible responses.

1 2 3 3 1 4 5 3 2 2 4 3 3 2 2 3 1 1 4 1 4 1 4 1 4 1 3 2 2 4 1 2 4 4 1 2 4 1 3 2 2 1 2 4 1 2 1 5 1 1 1 4 4 1 3 4 1 1 2 4 4 4 1 4 2 2 1 1 4 2 5 1 4 1 2 2 3 1 4 1 1 4 4 1 1 3 1 4 5 4 4 1 4 1 3 2 1 5 2 1

UN un NW Sport Frequency Relative Frequency Football (1) Baseball (2) Soccer (3) Basketball (4) Other (5)

Present the data in a Pie Chart and in a histogram (frequency distribution chart)​

Answers

The histogram and the piechart are graphical ways of representing the relative frequency table of the hundred random household

How to present the data in a pie chart and histogram?

Start by placing the data in a relative frequency table

Sport                   Frequency  Relative frequency

Football (1)                   35                0.35

Baseball (2)                  21               0.21

Soccer (3)                     12                0.12

Basketball (4)               27                0.27

Other (5)                       5                  0.05

Next, we plot the histogram and the piechart using a graphing calculator

See attachment for the diagrams

Read more about histogram and piechart at:

https://brainly.com/question/14854317

$52,500,000 is what percent of $70,000,000?

Answers

Answer: 75%

Step-by-step explanation:

Part =  52,500,000

Whole = 70,000,000

[tex]\frac{52,500,000}{70,000,000} =\frac{x}{100} \\[/tex]

Solve for x.

[tex]x=\frac{52,500,000*100}{70,000,000}[/tex]

[tex]x=\frac{5,250,000,000}{70,000,000}[/tex]

[tex]x=75[/tex]

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