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
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?
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:
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
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
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?
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
HELP DUE ASAP!!!! TY
Answer:
factor = x^3-5x+3
Step-by-step explanation:
you need to use long division to solve it.
evaluating expressions (4.6*10^9)+(1.7*10^7)
50 POINTS FOR CORRECT AWNSER
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.
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.
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.
Two integers are multiplied , and their product is a positive number . What must be true about the two integers ? Give an example
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?
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
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
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.
find the area of the given figure?
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
a polygon with sides 180°/x-2 has the ratio of interior angle to exterior angle 3:1. find the value of x.?
Answer:100,000
Step-by-step explanation:
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)
Answer:
$294
Step-by-step explanation:
Garden table = x
bench = x-91
x + (x-91) = 659
2x = 750
x= 375
375 - 91 = 284
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?
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
100 POINTS!!!
Which company charges less per hour?
A. Company A
B. Company B
EXPLAIN
A card factory puts 7,000 greeting cards in each shipment. How many greeting cards will there be in 5 shipments?
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
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)
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
Find the area
Help please!!
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
$52,500,000 is what percent of $70,000,000?
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]
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
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
Answer:
[tex]\frac{25}{16}[/tex]
I hope this helps!
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
Does the equation
2x+2x+2=4x+2
have one solution, many solutions or no solution?
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.
I need this ASAP you need to do it for y
Answer:
Step-by-step explanation:
HELP ME PLEASE I AM DESPERATE LOTS OF POINTS!!!!! BRAINIEST IF CORRECT PLEASE!!!!
Is this angle supplementary or congruent?
Answer
Step-by-step explanation:
the answer is supplementary because congruent are slant angles
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
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
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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
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.
um help plz apprecate it
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.
Is it zero or u defined?
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
Answer:
180
Step-by-step explanation:
they are vertical angles
Answer:
A) 108
B) C virtical opisite angles
Step-by-step explanation: