Raymond answered 95% of his answers on his English quiz correctly. if he answered 19 questions correctly, how many questions were there on the quiz in total
Answer:
There were 20 questions
19/20 = 0.95
Hope that helped!
Answer:
20 questions on the quiz
Step-by-step explanation:
Let x = the number of questions on his quiz
95/100 of x = 19,
95/100x = 19 [multiply both sides by 20]
19x = 380 [divide both sides by 19]
x = 20 questions
Tony needs one gallon of orange juice to make punch for a party. Gallons of orange juice cost $3.99 each. Quarts of orange juice cost $1.25 each. Pints of orange juice cost $0.65 each. Cups of orange juice cost $0.20 each. Which of these is the best buy for a gallon?
Answer:
Cups at $3.20
Step-by-step explanation:
Gallon - $3.99
Quarts - $5,00
Pints - $5.20
Cups - $3.20
The cost of one large pizza at your favorite pizza place is $15.99. The pizza place offers 21 different toppings. Each additional topping on a large pizza costs $2.75. Write an equation To represent the total cost for a pizza with any number of toppings, then find out what the pizza will cost if you add 7 additional toppings?
The frequency table shows the scores from rolling a dice 10 times.
Work out the mean
Answer: 16/5 or 3.2
Steps:
=> 1× 2 + 2× 2 + 3× 2 + 4× 1 + 5 ×2 + 6 ×1/ 2+2+2+1+2+1
=> 16/5 or 3.2 (answer)
a) Let f(x) = 4x + 2 and g(x) = 2x^2-4. Find the formula for the composition function gof
(4Marks)
Answer:
g o f = [tex]g(f(x)) = 32x^2 + 32x + 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x +2[/tex]
[tex]g(x) =2x^2 - 4[/tex]
Required:
Find g o f
This is calculated as:
[tex]gof = g(f(x))[/tex]
[tex]g(x) =2x^2 - 4[/tex]
So:
[tex]g(f(x)) = 2(4x+2)^2 - 4[/tex]
[tex]g(f(x)) = 2(4x+2)(4x+2) - 4[/tex]
[tex]g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4[/tex]
[tex]g(f(x)) = 32x^2 + 32x + 8 - 4[/tex]
[tex]g(f(x)) = 32x^2 + 32x + 4[/tex]
can someone help :(!
simplify (2sq root 5-4) (3sq root 5-2)
Answer:
2√5-4(3√5-2)
6√25-4√5-12√5+8
6(5)-16√5+8
30+8-16√5
38-16√5
How many 8s are in 888?
Answer:
Theres 3, 8 8 8
or 111, 111*8=888.
Two correct answers
Step-by-step explanation:
The pottery class has 16 pounds
of clay. Each student got 1/2 of a
pound of clay to make a plate.
How many plates did the
students make?
Answer:
32 plates
Step-by-step explanation:
If the pottery class has 16 pounds of clay and each student got 1/2 of a pound;
then;
1 plate = 1/2 pounds
xplate = 16pounds
Divide both expressions
1/x = 1/2÷16
1/x = 1/2*!6
1/x = 1/32
x = 32
Hence the student will make 32 plates
Here is part of a train timetable.
0718
0725
0728
Brighton
London
0900
0832
0848
Work out how long it will take the 07 18 train to get to London
Give your answer in hours and minutes.
hr(s) min(s)
Answer:
1 hour 42 minutes
Step-by-step explanation:
Given :
Time table :
BRIGHTON _____ LONDON
0718 __________ 0900
0725 __________0832
0728 __________ 0848
Tine taken by the 0718 train :
Arrival time, London - Departure time
09:00 - 07:18
2 hours (60 - 18) minutes
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation
v(t)=−gt−velnm−rt/m
where g is the acceleration due to gravity and t is not too large. If g=9.8 m/s^2, m = 30000 kg, r = 160 kg/s, and ve = 3000 m/s, find the height of the rocket one minute after liftoff.
This question is incomplete, the complete question is;
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel consumed at rate r, and the exhaust gases are ejected with constant velocity v(sub e) [relative to the rocket]. A model for the velocity of the rocket at time t is given by the equation:
v(t) = -gt - v(sub e) ln [(m-rt)/m]
where g is the acceleration due to gravity, and t is not too large. If g = 9.8 m/s^2, m = 30,000 kg, r = 160 kg/s, and v(sub e)= 3000 m/s, find the height of the rocket one minute after liftoff.
Answer:
the height of the rocket one minute after liftoff is 14.8441 km
Step-by-step explanation:
Given the data in the question;
Velocity of the rocket at time t is;
v(t) = -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex])
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = ₀∫⁶⁰( -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex]) )dt
= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex] - [tex]V_{e\\}[/tex] ₀∫⁶⁰In( [tex]\frac{m-rt}{m}[/tex]) dt
= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex] - [tex]V_{e\\}[/tex] [ t In( [tex]\frac{m-rt}{m}[/tex]) + [tex]\frac{m}{r}[/tex] - t - mr[tex]\frac{1}{r^{2} }[/tex] In |m-rt| [tex]]^{60}_0[/tex]
= -g([tex][\frac{60^{2} }{2}][/tex] - [tex]V_{e\\}[/tex] [ 60 (In(1 - [tex]\frac{60r}{m}[/tex])-1) + [tex]\frac{m(In(m^{2})-In((m-60r)^2))) }{2r}[/tex] ]
we input our given values; g=9.8 m/s², m=30000 kg, Ve = 3000 m/s, r = 160 kg)
= -9.8([tex][\frac{60^{2} }{2}][/tex] - 3000 [ 60 (In(1 - [tex]\frac{60(160)}{m}[/tex])-1) + [tex]\frac{30,000(In(30,000^{2})-In((30,000-60(160))^2))) }{2(160)}[/tex] ]
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14844.10 m
we convert to kilometer
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14844.10 ÷ 1000
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14.8441 km
Therefore, the height of the rocket one minute after liftoff is 14.8441 km
At Nolan's Car Rentals, customers will pay $60 to rent a mid-sized car for the first day, plus $5 for each additional day. At Westford Rent-a-Car, the price for a mid-sized car is $50 for the first day and $10 for every additional day beyond that. Find the solution to the system.
Answer:
2, 70
Step-by-step explanation:
It is given that :
At Nolan's Car rentals, if a customer rents a car, he or she has to pay $60 for the car for the first day and more $ 5 for every additional days.
Therefore this gives the equation :
y = 5x +60 ..........(1)
At Westford car rental, the price of the car for first day is $ 50 and additional $10 for every additional day.
So the equation will be :
y = 10x + 50.......(2)
Solving (1) and (2), we get
5x + 60 = 10x + 50
⇒ 60 - 50 = 10x - 5x
⇒ 10 = 5x
∴ x = 2
Now putting the value of x = 2 in equation (1), we get
y = 5x +60
y = 5(2) +60
y = 70
Therefore, (x, y) = (2, 70)
Sean’s mom baked 48 cookies. After Sean and his friends walk through the kitchen, there are 25% of the cookies left. How many cookies are left?
36 cookies are left
Step-by-step explanation:
to do this problem all you have to do is do the equation 48*0.25 and when you do that you get 12. after that you subtract 12 from 48 to get 36
It takes Colton 14 minutes to decorate 4 cookies. It takes
David 20 minutes to decorate 6 cookies. Who decorates
at a faster rate? Explain how you know
Answer:
David decorated the cookies at a faster rate than Colton.
Step-by-step explanation:
David decorated one cookie every 3 and 1/3 minutes. Colton decorated one cookie every 3.5 minutes. The way to find the answer to your question is by dividing the number of minutes by the number of cookies decorated.
give the domain and range of f(x).
Someone help me with this.
Answer:
2x² + 13x + 15
Step-by-step explanation:
| 2x | 3
x | 2x*x = 2x² | 3*x = 3x
5 | 2x*5 = 10x | 3*5 = 15
We have, 2x² + 3x + 10x + 15
Combining like terms, we would have the final expression as:
2x² + 13x + 15
Graph. Identify the solution:
1) x + y = 2
X-y=4
Answer:
X=3 y=-1
Step-by-step explanation:
X+y=2
X-y=4
so that means
y=X-4
substitute it in
X+X-4=2
2x-4=2
2x=2+4
2x=6
x=3
3+y=2
3+-1=2
y=-1
ways to check
3--1=4
double minus equal plus
3+1=4
1 +3 (6 - 3n) = -6 - 4n
a) {11}
b) {-9}
c) { infinite solutions}
d) {5}
Answer:
D
Step-by-step explanation:
1+3(6-3n)= -6-4n
1+18-9n= -6-4n
1+18+6= 9n-4n
25=5n
25/5=n
5=n
(2x + 12.8) what is the value of x
Answer:
2/5 *(5x+32)
Step-by-step explanation:
Write the equation of a line PERPENDICULAR
to 3x + y = 1 that passes through the point (3,
-1).
Answer:
im pretty sure its y=1/3x
Step-by-step explanation:
rearrange for y to be subject
its perpendicular so then the gradient will be the negative reciprocal (-1 / -3= 1/3) so thats your new gradient
then when you substitute the (3,-1) into that equation get -1=1 + c so then c is 0 and your whole equation is y=1/3x
Find the area of the figure below
Step-by-step explanation:
(3×6) + (2×6)
= 18 + 12
= 30 in²
David says that he can apply the commutative and
distributive properties to 7s + 8 + 5s to get 12s + 8.
Hope this helps! I had hw similar to this... so..
A group of high school students are volunteering for Habitat for Humanity during their summer break. They
are putting the finishing touches on a house they built. Working alone, Kendra can paint a certain room in 7
hours. Joe can paint the same room in 6 hours. Write an equation that can be used to find how long it will
take them working together to paint the room. How many hours will it take them to paint the room? If
necessary, round your answer to the nearest tenth.
In response to the question, we may say that It will take Kendra and Joe expression approximately 3.2 hours to paint the room together.
what is expression ?An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
Let's denote the time it takes Kendra to paint the room as "K" and the time it takes Joe to paint the room as "J". We can use the formula:
[tex]1/K + 1/J = 1/T\\1/7 + 1/6 = 1/T\\13/42 = 1/T\\13T = 42\\[/tex]
Therefore, T = 42/13 ≈ 3.2 hours (rounded to the nearest tenth).
It will take Kendra and Joe approximately 3.2 hours to paint the room together.
To know more about expression visit :-
https://brainly.com/question/14083225
#SPJ1
I dont know how to do surface area
Answer: the equation for SU is 2(lb+bh+hl)
Step-by-step explanation: L stands for length B stands for base. H stand for height multiply that by 2
Please Need this Now
An account earns annual simple interest. Find the balance of
the account.
$2000 at 9% for 6 years
Help it’s due today plz
Question 1
A tiling pattern is defined by the pattern rule equation 'n = 6 + 4p`,
where `p is the position number and 'n' is the number of tiles.
How many tiles would there be in position 22?
Answer:
There would be 94 tiles.
Step-by-step explanation:
The number of tiles is given by the following equation:
[tex]n = 6 + 4p[/tex]
In which p is the current position.
How many tiles would there be in position 22?
This is n when [tex]p = 22[/tex]. So
[tex]n = 6 + 4*22 = 6 + 88 = 94[/tex]
There would be 94 tiles.
The number of titles would there be in the position 22 is 94 titles.
Given that,
A tiling pattern is defined by the pattern rule equation 'n = 6 + 4p.Here p denotes the position number and n denotes the no of titles.Based on the above information, the calculation is as follows:
n = 6 + 4p
= 6 + 4(22)
= 6 + 88
= 94
Therefore we can conclude that the number of titles would there be in the position 22 is 94 titles.
Learn more: brainly.com/question/13549064
A labor dispute has arisen concerning the distribution of 20 laborers to four different construction jobs. The first job is considered to be very undesirable and requires 6 laborers. The second, third and fourth jobs require 4, 5 and 5 laborers, respectively. The dispute arose over an alleged random distribution of the laborers to the jobs that placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. That is determine the number of ways the 20 laborers can be divided into groups of the appropriate sizes to fill all of the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs.
Answer:
The answer is "0.30%"
Step-by-step explanation:
To assign employees to work, we have to select 6 out of 20 to do work, instead select 4 out of another 14 jobs, 2 to do, and 5 out of another 10 works 3. The other five were going to go do work four. They may decide how often ways of making each of these options. Their service would be how many forms to allocate those four positions to staff. The random sample is from the height.
There are equally estimated that numbers of arrangements with both the four in Job 1.They then allocate all four to work 1. In this situation We must then select 2 out from the 16 existing spaces in job 1, 4 out from the 14 remaining spaces in job 2, 5 out of the 10 existing spaces in job 3 as well as the ones remaining in job 4.
The possibility of any four being at 1 is that they've been all divided by the overall amount of circumstances in 1 task.
[tex]\to \frac{[ \frac{16!}{(2!4!5!5!)}]}{[\frac{20!}{(6!4!5!5!)}]}\\\\\to [ \frac{16!}{(2!4!5!5!)}] \times [\frac{(6!4!5!5!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6\times 5 \times 4 \times 3 \times 2!)}{20!}]\\\\\to 16! \times [\frac{(360)}{20 \times 19 \times 18 \times 17 \times 16!}]\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{360}{116,280}[/tex]
[tex]\to 0.00309597523 \approx 0.30 \%[/tex]
Which set of numbers is the most reasonable to describe the temperature in Alaska during the winter?
Step-by-step explanation:
uhhh what set of numbers?
If f(x) = -(5)x , what is f(2)?
Answer:
-10
Step-by-step explanation:
f(2) = 2 x -5
= -10
The answer is -10
