Answer:
7%
Step-by-step explanation:
The additional tax is $0.42, we just have to find how much percent the tax ($0.42) is of the original cost ($6.00).
To do this, we can use the following formula:
[tex]\frac{x}{y} = \frac{p}{100}[/tex]
Where x is the part (in this case, the tax ($0.42)), y is the whole (in this case, the original cost ($6.00)), and p being the percent (the tax rate in this case). We can replace the values in:
[tex]\frac{0.42}{6} = \frac{p}{y}[/tex]
We can cross multiply and simplify to find the tax rate:
[tex]0.42y=600\\ y=\frac{600}{0.42} \\ y=0.07[/tex]
We're not done yet! We still need to turn it to percent. But we can do this by just multiplying our result by 100:
[tex]0.07 * 100=7[/tex]
Place the percent sign and we are done.
Hope this helps.
A truck left a station at 6:00am traveling at a rate of 45km/h. A van left the same place 2 hours later heading in the same direction at a rate of 54km/h. At what time will the van catch up with the truck?
The Van would catch up with the truck at 6:00 pm
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let us say the van catch up with the truck after t hours at a distance d.
For the truck:
45 = d/t
d = 45t
For the Van:
54 = d / (t - 2)
d = 54t - 108
45t = 54t - 108
9t = 108
t = 12 hours
The Van would catch up with the truck at 6:00 pm
Find out more on speed at: https://brainly.com/question/3004254
Answer:
The Van would catch up with the truck at 6:00 pm
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let us say the van catch up with the truck after t hours at a distance d.
For the truck:
45 = d/t
d = 45t
For the Van:
54 = d / (t - 2)
d = 54t - 108
45t = 54t - 108
9t = 108
t = 12 hours
The Van would catch up with the truck at 6:00 pm
Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61
Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you
Step-by-step explanation:
Solve x/2 - 8 = y for x
Answer:
B) x=2y + 16
Step-by-step explanation:
First, you'd multiply the x/2 by 2 to get x by itself.
You do the same throughout the whole equation.
Then isolate the x by getting rid of the -16 to the other side by adding 16
Your final answer should be:
B) x=2y + 16
The value of x for the given equation x/2 - 8 = y will be x = 2y + 16 thus option (B) is correct.
What is the equation?A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
x/2 - 8 = y
Add 8 both sides,
x/2 - 8 + 8 = y + 8
x/2 = y + 8
Multiply by 2 both sides,
x/2 × 2 = (8 + y) × 2
x = 2y + 16
Hence "x = 2y + 16 will be the value of x in the equation x/2 - 8 = y".
For more about the equation,
brainly.com/question/10413253
#SPJ2
i wake up at 6:00 am gianna wakes up 35 minutes later john wakes up 7 minutes before gianna at what time does john wake up
Find the number of minutes Hohn wakes up after you:
35 minutes - 7 minutes = 28 minutes
6:00 am + 28 minutes = 6:28 am
John wakes up at 6:28am
Answer: 6:28am
Step-by-step explanation: If you wake up at 6 and Gianna wakes up 35 mins later then Gianna woke up at 6:35. If John wakes up 7 mins before Gianna the 35mins -7mins=28. So John woke up at 6:28 am.
Bailey and Elena compete in a swim race. Their times are
shown below.
Round each time to the nearest whole second. Then estimate how
many seconds Bailey won the race by.
50-m Freestyle Results
Time
Swimmer
(seconds)
Bailey 35.78
DONE
Elena
39.51
11
Complete
&
ty
Answer:
3.7
Step-by-step explanation:
39.5 - 35.8 is 3.7
[tex]39.51=40\\ 35.78=36\\\\ 40-36=16 more seconds more than Bailey.[/tex]
if its any number from 5 and larger, you can round it up to a whole.
Solving Quadratic Equations by Factoring
Answer:
are those 4 all answers or are they separate?
Step-by-step explanation:
abebe is 12 years old and his sister aster is 2 years old. In how years abebe be exactly twice as old as aster
Answer:
8 years
Step-by-step explanation:
Currently
Abebe → 12 years old
Aster → 2 years
With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.
Difference in ages
= 12 -2
= 10
Let the age of Aster be x years old when Abebe is twice her age.
Abebe → 2x years old
Aster → x years old
Difference in age
= 2x -x
= x
x= 10
Aster is 10 years old when Abebe is twice her age.
Number of years passed
= 10 -2
= 8
Thus, Abebe will be twice as old as her sister in 8 years.
Write the fraction 35/42 simplest form
Answer:
5/6
Step-by-step explanation:
A rare diamond, valued at $3,750, is gaining value at a rate of 4% each year. The value of a diamond, v, can be found using the equation v=p(1+r)t where p is the original value of the diamond, r is the rate, and t is the number of years the diamond gains value.
How much will the diamond be worth in 6 years?
$4,743.75
$4,744.95
$4,762.50
$4,875.00
Answer: $4,744.95
Step-by-step explanation:
v=3,750(1+4%) 6th power
8:07, 8:58, ?, 10:43, 11:37
9:51
9:50
9:53
9:49
Answer:
9:50
Step-by-step explanation:
because, 8:07 ->8:58 +51
...+52
...+53
A pattern can either follow an arithmetic sequence, a geometric sequence or a user defined sequence.
The term that completes the sequence is (d) 9:49
The sequence is given as:
8:07, 8:58, ?, 10:43, 11:37
The above sequence follows an arithmetic sequence, and the common difference (d) is calculated using:
d = 8:58 - 8:07
This gives
d = 51 seconds
The missing term (which is the third term) is then calculated using:
T3 = 8:58 + 51 seconds
This gives
T3 = 9:49
Hence, the term that completes the sequence is (d) 9:49
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
What is the domain of f(x) = (x + 2)2 – 1?
Simplify
[tex]\\ \tt\Rrightarrow f(x)=(x+2)^2-1[/tex]
[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+2-1[/tex]
[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+1[/tex]
The Domain is set of all real numbers
[tex]\\ \tt\Rrightarrow Domain\in R[/tex]
I need these answers in 5 MINUTES PLZ HELP
Answer: 1. w=-30%
2. c=361
Step-by-step explanation: 1. 15+15=30 2. a looks the same size as c so c is 361 or same as a
I NEED ANSWER ASAP PLEASE I NEED ANSWER NOW ITS DUE IN 20 MINS
How many angles are formed with a pair of parallel lines and a transversal
Answer:
what i learned was 8 are formed
Step-by-step explanation:
pls help me answer this
Step-by-step explanation:
hope it would help you...
x+y=5
x-1=y
Please help
Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,200 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation
They will be at the same altitude in _ minutes, when their altitude will be _ feet.
Answer:
6 seconds., 16800 feet
Step-by-step explanation:
The first plane is going y = -3200x + 36000
The second plane is going y = 2800x
Substitute the second equation for y into the first one:
2800x = -3200x + 36000
6000x = 36000 (Add 3200x to both sides)
x = 6 (Divide each side by 6000)
That means they will be the same altitude at 6 minutes.
To find how high, put your answer into one of the equations.
y = 2800 (6)
y = 16,800 feet
What is the equation for the line described in #9And #10?
Answer: it is definitely c. y=3x+2
Step-by-step explanation: solve the first equation and then plug in
3+2+6= what pls ls help
The m1 is twice m3. The m2 is 20 more than the m3 find m4. See picture for full problem. Please and thank you!
Answer:
Step-by-step explanation:
A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $117 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $14 to purchase books and supplies. Each attendee will pay $15 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take? What will be the company's total expenses and revenues?
Answers:
To reach the breakeven point, how many attendees will that take? 117
What will be the company's total expenses and revenues? $1755 for each
=============================================================
Explanation:
x = number of attendees
C(x) = cost function for the company
C(x) = 14x+117
This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.
In contrast, the revenue is
R(x) = 15x
because each attendee brings in $15 for the company
The breakeven point is when the cost and revenue are the same. This produces a profit of $0.
R(x) = C(x)
15x = 14x+117
15x-14x = 117
x = 117
If 117 people attend the seminar, then the company breaks even.
To check this, we'll compute the cost and revenue
C(x) = 14x+117
C(117) = 14*117+117
C(117) = 1755
R(x) = 15x
R(117) = 15*117
R(117) = 1755
The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.
Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.
2 x 3 2 x 7 = what Prime Factorization ?
A. 42
B. 84
C. 126
D. 252
Answer:
It's B
And Prime Factorization is when 2 numbers have the same answer.
Example: 3x8=24 and 4x6=24
Step-by-step explanation:
Jayden had $43 in his bank account. He wanted to buy a game at GameStop. The game cost $15. He made the purchase.
a) Write an expression to show his purchase activity.
b) How much did he have, after the purchase of the game?
Answer:
a) 43 - 15
b) 28
please answer!!!!!!!!!!!!!!!!!
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
A movie theater sold a total of 50 tickets. 23 of the tickets were child tickets, and the rest were adult tickets. What is the ratio of the number of adult tickets to the total number of tickets?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
27/50
Step-by-step explanation:
You would have to subtract 50 and 23 to find out how many adult tickets there was
(6) Arrange the decimals in increasing order..
(a) 0.8, 0.25, 0.21
(b) 0.85, 3/4' 0.857
A) 0.21, 0.25, 0.8
B) 3/4, 0.85, 0.857
hope this is helpful!
A bag has 25 beads in it.the probability of picking a white bead is 3/5.how many white beads are in the bag
1 1/3 x 5 Multiply and answer with a mixed number in the simplest form.
Answer:
The answer is 55/3
Step-by-step explanation:
11 should be divided by 3 and 5 should be multiplied later..
Help me with x and z
Answer:
x = 14
z = 70
Step-by-step explanation:
(10x - 30) + (11x - 84) = 180
x = 14
(10(14) - 30) + z = 180
z = 70