Answer:
$40.5
Step-by-step explanation
10% comes from selling biscuit:$ 9
remaining money: $81
50% of the remaining money comes from chocolate cakes: 81*50%=$40.5
150 students in hostel have food enough for 45 days. After 10 days , 25 students leave the hostel. How much larger will the food last?
Step-by-step explanation:
150=45
150 -25=x
:150=45
125=x
cross multiply
150x/150=5625/150
x=38 days
PLS HELP ME ON THIS ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU KNOW TGE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
LOL
Answer:
D. The over 30s have a larger range and interquartile range than the under 30s
Step-by-step explanation:
In a data set, the range is the difference between the maximum and minimum. So, the range for under 30s is 20, while the range for over 30s is 24. Additionally, the interquartile range is the difference between Q3 and Q1. For a boxplot, Q3 is the line where the box ends and Q1 is the line where the box begins. Therefore, the IQR for the under 30s is 8, and the IQR for over 30s is 11. So, D must be correct.
the velocity of a body is increases from 10 m/s ti 15 m/s in 5seconds calculate its acceleration
Answer:
[tex]accelaration = \frac{change \: in \: veloity}{time} \\ = \frac{15 - 10}{5} \\ = \frac{5}{5} \\ = 1 \frac{m}{ {s}^{ - 2} } [/tex]
Answer: acceleration = 1 m/s²
Concept:
Here, we need to know how to calculate the acceleration of a body.
a = Δv / Δt = (v₂ - v₁) / (t₂ - t₁)
v = velocity
t = time
unit = m/s²
Solve:
Given information
v₁ = 10 m/s
v₂ = 15 m/s
Δt = 5 seconds
Given expression
a = (v₂ - v₁) / (t₂ - t₁)
Substitute values into the expression
a = (15 - 10) / 5
Simplify values in parentheses
a = 5 / 5
Simplify by division
[tex]\boxed{a=1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Tim works as a server in a restaurant.
A
group
for $112.50. They leave Tim a tip of 20%.
Another group at Table 15 have a bill of
$142.75 and leave a 15% tip. Which table
of people at Table 22 have a bill
left Tim the greater tip
Answer:
The first group left a greater tip
Step-by-step explanation:
The first group left a tip of 20%. 20% of 112.5 is 22.5
The first group left a tip of 15%. 15% of 142.75 is 21.4125. Round to the nearest hundredth -> 21.41.
Therefore, the first group left a greater tip
I hope this helps!
pls ❤ and give brainliest pls
No. of She 2. a) The amount of pocket money in Rs) brought by 20 students of class VII on a day are given below. Let's construct a frequency distribution table with tally marks. 30, 40. 25, 35. 40. 40. 30. 25, 20 40. 45. 35. 40. 30. 40, 30, 50. The numbe Draw a sin Classes
Answer:
there are 17 pupils in the class
Choose the correct equivalent expression using the GCF. 9+12
3(4+3)
4(3+4)
3+(3+4)
3(3+4)
PLEASE HELP
⇛3(3+4)
⇛9 + 12
whats (-3,6) and (3,4) in y=mx+b form?
Answer:
y = -1/3x + 5
Step-by-step explanation:
First you want to find the slope with the formula y2-y1/x2-x1.
4-6/3-(-3)
-2/6
-1/3
Second you want to substitute one point and the slope to find the y-intercept.
6 = -3(-1/3) + b
6 = 1 + b
5 = b
Third you can fill in the information we solved for.
y = -1/3x + 5
Best of Luck!
Prove that 1/√2 is irrational
Answer:
Step-by-step explanation:
Let's assume that it is rational , so this number can be represented as[tex]\Large \boldsymbol{}\bf \dfrac{p^{^/is \ an \ integer}}{q^{ / natural}} -irreducible \ \ fraction[/tex]
[tex]\Large \boldsymbol{}\bf \dfrac{1 ^{/ an \ integer }}{\sqrt{2}^{ / not \ \ integer } }[/tex] -Since the denominator is not a natural number then the 1/√2 is respectively an irrational number
please help! need answers in order to move on:)
1.) which number equals (5)^-3?
- -125
- 1/15
- 1/125
- -15
2.) find the equivalent for -(3)^-4
- -(4x4x4)
- -3x-4
- 1/-3x-3x-3x-3
- -(1/3x1/3x1/3x1/3)
3.) which of the following is equivalent to 3^-8x3^4
- 3^-12
- 3^-4
- 3^-2
- 3^-32
4.) which value is equivalent to 7^-3/7^-5
- 7^15
- 7^-2
- 7^8
- 7^2
5.) choose the equivalent expression (8^10)^2
- 8^12
- 8^20
- 8^8
- 8^5
6.) which expression is equivalent to (9x8)^4
- 9x8x4
- 9^4x8^4
- (9^8)^4
- (9^4)^8
7.) which expression is equivalent to (2/7)^5
- 2^5/7^5
- 2x5/7x5
- 2^5/7
- 2x5/7
Answer:
1)
5⁻³ = 1/5³ = 1/1252)
-3⁻⁴ = -(1/3)⁴ = -(1/3×1/3×1/3×1/3)3)
3⁻⁸ x 3⁴ = 3⁻⁸⁺⁴ = 3⁻⁴4)
7⁻³/7⁻⁵ = 7⁻³ ⁻⁽⁻⁵⁾ = 7⁻³⁺⁵ = 7²5)
(8¹⁰)² = 8¹⁰*² = 8²⁰6)
(9x8)⁴ = 9⁴x8⁴7)
(2/7)⁵ = 2⁵/7⁵Answer:
1) [tex]5^{-3}[/tex]-
Exponent rule:- [tex]a^{-b}=\frac{1}{a^b}[/tex]
[tex]5^{-3}=\frac{1}{5^3}[/tex]
[tex]=\frac{1}{5^3}[/tex]
[tex]5^3=125[/tex]
Answer:- [tex]\frac{1}{125}[/tex]
---------
2) [tex]-3^{-4}[/tex]
[tex]-(\frac{1}{3} )^{4}[/tex]
Answer:- [tex]-(\frac{1}{3}\times\frac{1}{3} \times \frac{1}{3} \times\frac{1}{3} )[/tex]
---------
3) [tex]3^{-8}\times 3^{4}[/tex]
[tex]3^{-8+4}[/tex]
Answer:- [tex]3^{-4}[/tex]
----------
4) [tex]7^{-3} /7^{-5}[/tex]
[tex]7^{-3-(-5)}[/tex]
[tex]7^{-3+5}[/tex]
Answer:- [tex]7^{2}[/tex]
----------
5) [tex](8^{10} )^{2}[/tex]
[tex]8^{10\times2}[/tex]
Answer:- [tex]8^{20}[/tex]
---------
6) [tex](9\times8)^{4}[/tex]
Answer:- [tex]9^{4} \times 8^{4}[/tex]
---------
7) [tex]\left(\frac{2}{7}\right)^5[/tex]
Answer:- [tex]\frac{2^{5} }{7^{5} }[/tex]
-----------------------
OAmalOHopeO
-----------------------
What is 164.362 rounded to 4, 3 and 1 significant figures
Answer:
4 sigfig is 164.4
3 sigfig is 164.
1 sigfig is 200
hope that answers your question
comment for more explanation
Ava has $5 more than two-thirds of the amount Dan has. Ava has $23. What is the number of dollars Dan has?
Help please! will give brainiest
Answer:
cd a gimem ?
Step-by-step explanation:
hannah has $345 in her savings account she wants to icrease that number by 20%
Answer:
345 × 20%
= $69 (20% increase)
345 +69
= $414 (final amount with 20% increase)
f(x+3)=2x+5 find f(x)
Answer:
Hello,
f(x)=2x-1
Step-by-step explanation:
[tex]f(x+3)=2x+5\\\\Let\ say\ x=y-3\\\\f(y-3+3)=2(y-3)+5\\\\\\f(y)=2y-6+5\\\\f(y)=2y-1\\\\\boxed{f(x)=2x-1}\\[/tex]
Please hell the question is in the photo ^^
May be this.. you may find all the math answers in the app known as Gauth math so I would suggest you to download it .Thank you
2x+4y=10 and 3x+7=y by substitution method
Answer:
x=-9/7, y=22/7
Step-by-step explanation:
Since we're using substitution, and the second equation already has the y isolated on one side, we just substitute the 'y' in 4y from the first equation with the right side of the second equation, which gets us 2x+4(3x+7)=10. Then, we simplify to get that x=-9/7. Now, we use substitution again to replace the x value in the second equation to get y. So 3(-9/7)+7=y, y=22/7.
Final answer: x=-9/7, y=22/7
I hope this helped! :D
(8
10-7) - (-6.25 • 10-2)
Answer:
362
(8
10-7) - (-6.25 • 10-2)
A basketball is shot into the air. Its height is represented by the polynomial equation h(t) = –16t2 + 35t + 5, where h is the height of the basketball at t seconds. What's the height of the basketball at 1.5 seconds?
Question 4 options:
20.2 feet
18.8 feet
21.5 feet
16.7 feet
Answer:
height = 21.5 ft
Step-by-step explanation:
Substitute t = 1.5 into h(t) and evaluate
h(1.5) = - 16(1.5)² + 35(1.5) + 5
= - 16(2.25) + 52.5 + 5
= - 36 + 57.5
= 21.5 ft
Answer:
21.5 feet.
Step-by-step explanation:
Let t = 1.5
[tex]h(1.5)=-16(1.5)^2+35(1.5)+5\\h(1.5)=-36+52.5+5\\h(1.5)=21.5[/tex]
Therefore, at 1.5 seconds, the basketball is 21.5 feet in the air.
A motel has 20 rooms. If the manager charges $60 per room per night, all the rooms will be rented. For each $5 increase, one less room will be rented. How much rent should be charged to maximize revenue? What is the maximum revenue?
Answer:
Rent: $80
Revenue: $1280
Step-by-step explanation:
We can solve this by representing the problem as an expression and finding the maximum of that
We know that revenue = number of sales * average price. If x represents the amount of 5 dollar increases, then we subtract x from 20 to get the total number of sales. For example, if there was 1 5 dollar increase, the number of sales would be 20-1 = 19. Similarly, the average price is equal to 60 + 5x, as we add $5 for each x. For example, if there were 3 $5 increases, it would cost 60 + 3 * 5 = 75 per room.
Therefore,
revenue = (20-x) * (60 + 5x)
= 1200 + 100x - 60x - 5x²
= -5x²+40x+1200
This is a quadratic expression -- we know it is one because it is of form ax²+bx+c, where a=-5, b=40, and c = 1200. Because the a is negative, the quadratic expression (which forms a parabola) opens downward, meaning that there is a peak of the expression at its vertex.
The x value of the vertex of a parabola given this form for the quadratic expression is (-b/2a) , which is (-40/(2*(-5))) = -40/-10 = 4 here, and plugging that into our equation,
y= -5x²+40x+1200
= -5 (4)²+40(4) + 1200
= -5 * 16 + 160 + 1200
= 1280 as our maximum revenue
Therefore, the amount of 5 dollar increases is 4, making the average price equal to 60 + 5 * 4 = 80 dollars
Anyone help me please
[tex]6 {x}^{6} + 6 {x}^{4} + 6 {x}^{2} [/tex]
Answer:
(6x^2)(x^4 +x^2 + 1)
Step-by-step explanation:
6x^6 + 6x^4 + 6x^2
split it up into parts
6x^6 = (6x^2) * x^4
6x^4 = (6x^2) * x^2
6x^2 = (6x^2) * 1
so you can take out 6x^2 to get
(6x^2)(x^4 +x^2 + 1)
x-7[tex]\sqrt[2]{x}[/tex] +19
Answer:
Okay please complete your question:)
Step-by-step explanation:
The math problem is incomplete...
Solve for x in the equation 2/5x = 12
A: -30
B: -4 4/5
C: 4 4/5
D: 30
A
2
The distance AB
rounded to the
nearest tenth = [?]
- 2
-1
0
B
-2
-3
Hint: Use the distance formula:
d= (x2 - 1)2 + (y2 - y.)2
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 1, 2) and (x₂, y₂ ) = B (1, - 2)
m = [tex]\frac{-2-2}{1-(-1)}[/tex] = [tex]\frac{-4}{1+1}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
Answer:
AB = 4.5
Brainliest, please!
Step-by-step explanation:
A (-1, 2) B (1, -2)
y = +4
x = +2
a^2 + b^2 = c^2
2^2 + 4^2 = c^2
4 + 16 = c^2
20 = c^2
c = 4.5 (rounded)
rational or irrational? and why
Answer:
rational, simplified number is -0.5
Step-by-step explanation:
(see screenshot)
Mr. Wilkerson bought frozen treats for 34 children. Each child picked either a popsicle or an ice cream bar. Each popsicle cost $2 and each ice cream bar cost $5. If Mr. Wilkerson spent a total of $128, how many of each type of treat did he buy?
Answer: He bought 20 ice cream bars and 14 popsicle
Step-by-step explanation:
To solve this I used the elimination method, you could use substitution as well
Here are our two equations
x+y=34 Because the total number of ice creams bought must be given to 34 children and no more
2x+5y=128 because that is the cost for each ice cream and the amount he spent
For the elimination method we have to cancel out one of the variables, I decided to cancel out the x, so I multiplied the top equation by -2. So i got -2x-2y=-68
2x+5y=128 Then we get
3y=60 so
y=20
Now we can go back to the first equation and plug in y.
x+20=34
-20 -20
x=14
So he bought 14 popsicles and 20 ice cream bars.
What is the value of x?
Answer:
might be 50 b cause 50+55is 105 which is the are outside the triangle
Step-by-step explanation:
hi
Answer:
To solve this problem, you can write a simple equation:
55+x=105
This equation works, thanks to the exterior angle theorem.
Solving for x, we see that it is equal to 50 degrees.
Let me know if this helps
Please help me on this assignment, I will brainly to the person with the correct answer!
Answer:
Step-by-step explanation:
I'm not sure if you have learned this yet, but using dimensional analysis (DA) for this problem makes everything so. much. easier! (I'll share a good video in the comments if you don't know what it is)
Okay, so we're given a 50,145 [tex]cm^{3}[/tex] statue, and we want to see how much it'll cost if it's $0.35 per kg, with a conversion factor of 2.6 [tex]g/cm^{3}[/tex].
First, with the conversion factor, I'll set up a dimensional analysis.
[tex]50,145 cm^{3} * \frac{2.6 g}{cm^{3} }[/tex]
cancel out the cm^3, and multiply the top two numbers. I used a calculator:
130377 g
We're not done yet! The question asks for how much it is in kg, not g. We could use D.A. , but g to kg is pretty easy. just put a decimal three paces in.
130.377 g = 130.377 kg
Now, either use D.A. to show your work, or just simply multiply.
130.377*0.35= $45.63
I think this is the right answer... Any questions, please comment!
I need help ASAP!!! Please help me FInd the missing side
Answer:
Step-by-step explanation:
Tan 22 = [tex]\frac{opposite \ side}{adjacent \ side}[/tex]
[tex]tan \ 22 = \frac{30}{x}\\\\0.4040 = \frac{30}{x}\\\\0.4040*x = 30\\\\x = \frac{30}{0.4040}\\\\x = 74.25\\\\x = 74.3[/tex]
Answer:
Sin= opp/hyp
Sin22= 30/x
0.3746=30/x
cross multiply
0.3746x=30
make x the subject of the formula
x= 30/0.3746
x=80
Change 400cm into mm
Answer:
4,000mm
Step-by-step explanation:
I tryed my best
Answer:
mate...
cm to mm is by multiplying 10
400 * 10 = 4000mm
brainliest l m a o
What is 687.2194 rounded to 5 significant figures?
