Let original price be x
\(\\ \sf\longmapsto x+5\%\:of\:x=420\)
\(\\ \sf\longmapsto x+0.05x=420\)
\(\\ \sf\longmapsto 1.05x={420}\)
\(\\ \sf\longmapsto x=\dfrac{420}{1.05}\)
\(\\ \sf\longmapsto x=400\)
What is 2/3 divided by 1/6 ( show your work )
Answer:
4
Step-by-step explanation:
2/3÷1/6
Flip the 1/6 to make it a reciprocal and then multiply
2/3•6/1
simplify by crossing out
2•2 =4
I need help with this please
There are 36 possible combinations that can occur when 2 dice are rolled. For the sake of this question, we'll count instances where dice 1 = 3/dice 2 = 2 and dice 1 = 2/dice 2 = 3.
Now, let's think about all of the possible ways a total of 5 could be rolled.
1 + 4
2 + 3
3 + 2
4 + 1
That's 4 possibilities to roll a total of 5 out of 36 possible outcomes.
4 / 36 = ? / 180
---Now, we need to use a proportion in order to figure out the possibilities out of 180.
36x = 720
x = 20
If you rolled a pair of fair dice 180 times, you would expect to roll a total of 5, 20 times.
Hope this helps!
jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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How do I know how to do this
Answer: uh I want to help you but what work I don’t see your question or- did you put a picture...
Step-by-step explanation:
Answer:
Step-by-step explanation:
well when you need help on a question you can put (ask a question) or when you wanna help people you can answer there questions
What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
In a class of 32 students
The mean height of the 14 boys is 1.56 meters
The mean of all students is 1.515 meters
Work out the mean height for the girls
When the the mean height of the 14 boys is 1.56 meters and the mean of all students is 1.515 meters then the mean height for the girls will be 1.48.
How can the mean height for the girls be calculated?From the question, we were given total number of students as 32
But the mean can be calculated as the ratio of all the sum of all the data to the total number of data,
the total height of all students= (32*1.56)=48.48
total height of 14 boys=(14*1.56)=26.64
number of girls is (32-14)=18
The mean height for the girls will be (26.64/1118)=1.48
Therefore, When the the mean height of the 14 boys is 1.56 meters and the mean of all students is 1.515 meters then the mean height for the girls will be 1.48.
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NOTE; This is a complete question , no given option , even on internet.
I don’t know how to do it can someone help me?
Answer:f(g(0))= 1/5
g(f(0))= 7
Step-by-step explanation:
for f(g(0))=you solve for g(x) but you plug in 0 for x so g(0)= 8(0)+3
=3
so now you plug in the answer of the function of g(x) witch is 3 and plug it in as the x for F(x) so f(3)= 1/(3)+2
= 1/5
so f(g(0)) is equal to 1/5
Now for G(f(0)) you solve for f(x) by pluging 0 for x so F(0)= 1/(0)+2
=1/2
now you plug in 1/2 for the x of g(x) so g(1/2)= 8(1/2)+3
= 4+3
=7
so g(f(0)) is equal to 7
Hope this helps:)
5690 as standard form
Answer:
It already is in standard form btw
Step-by-step explanation:
Answer:
5690 is standard form
five thousand six hundred ninety is word form
5000+600+90 is expanded form
hope this helps
have a good day :)
Step-by-step explanation:
2. A person just purchased a vending machine with
three compartments. Each compartment has the
dimensions of 6 inches by 8 inches by 18 inches,
Assuming the vending machine uses gumballs that
are approximately spherical and 2 inches in diameter,
how many gurnballs should fit in one of the
compartments?
(Hint: Packing spheres in a rectangular prism usually
take up 190% of the volume of spheres.)
108 is the answerrrrrrrr
I have the answer but I don’t know how to show the work
Answer: 76.27 in squared
Step-by-step explanation:
Area of a rectangle: l x w
Area of a circle: (pi)r^2
Rectangle dimensions: 6 x (14-6)= 6 x 8
Circle: r=6
Add the area of the rectangle to the area of a quarter of the circle (Bc that’s all that’s there)
(6 x 8) + (1/4)(pi)6^2
=48+(1/4)(pi)(36)
=48+9(pi) or approximately 76.27 in squared
Answer:
Step-by-step explanation:
I need the answer pls answer
Take a guess: A student takes a multiple-choice test that has 9 questions. Each question has four choices. The student guesses randomly at each answer. Round the answers to three decimal places. (a) Find P(3). (b) Find P (More than 1).
The probability that the student guesses 3 question correctly is 0.234 and the probability that the student guess more than one correctly is 0.7.
Using the property of binomial distribution we can calculate that the probability that a answer is correct is 0.25
As there are 4 options , hence we will see that probability that an option picked is correct is 1/4 = 0.25
Now we have to find the probability for 3 answers to be correct .
We will use the formula
\(P(X=x) = \frac{n!} {x! (n - x)!} \cdot p^x \cdot (1 - p)^{n - x}\)
Now putting the values of x = 3 and the value of p = 0.25 we get
P(X = 3) = 0.234
therefore the value of P(3) = 0.234
Now we have to find the value of P(x>1)
Using the same formula we calculate the occurrence of the event
P(x>1)=1-P(x≤1)
or, P(x>1) = 0.7
Hence the required probability is 0.7.
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Sixty-four students voted for Morgan. Two times as many students voted for Whitney. How many students voted altogether?
A total of 192 students voted altogether.
What is an addition operation?In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as an addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
Given:
The number of students who voted for Morgan = 64.
Let the number of students who voted for Whitney = n.
According to the question,
n = 2 times the number of students who voted for Morgan
n = 2 x 64
n = 128.
The total number of students who voted = 64 + 128
The total number of students who voted = 192.
Therefore, the required number of votes is 128.
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What is the outlier point? Please express your answer as (x,y).
The outlier of the graph is
(5, 1)What is outlier?An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.
Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).
The problem used a scatter plot plot to show that the outlier is (5, 1)
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Determine whether the matrix is symmetric, skew-symmetric, or neither. A square matrix is called skew symmetric when A^T -A
A= | 0 -2 3|
| 2 0 1|
| -3 -1 0|
a. symmetric
b. skew~symmetric
c. neither
By looking at the matrix, we can say that matrix A is skew-symmetric. (option b)
To check whether a matrix is skew-symmetric, we need to verify if it satisfies the condition \(A^T\) = -A.
Taking the transpose of matrix A, we get:
\(A^T\) = | 0 2 -3 |
| -2 0 -1 |
| 3 1 0 |
Subtracting A from \(A^T\), we get:
\(A^T\) - A = | 0 2 -3 | | 0 -2 3 |
| -2 0 -1 | - | 2 0 1 |
| 3 1 0 | | -3 -1 0 |
= | 0 4 -6 |
| -4 0 -2 |
| 6 2 0 |
Since \(A^T\) - A is equal to the negative of A, we can conclude that matrix A is skew-symmetric. This means that the elements on the main diagonal are all zero, and the elements below the main diagonal are the negatives of the corresponding elements above the main diagonal.
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Identify the kind of sample that is described.
A football coach randomly selected the varsity or junior varsity team and then asks all players from that team their opinion on a new logo.
A. Stratified
B. Simple Random
C. Voluntary Response
D. Cluster
E. Systematic
The given sample of the randomly selected players from the teams as described is a stratified sample. Hence, the right answer is option A.
In a stratified sample, the population is divided into groups (or strata) based on some characteristic, and a random sample is selected from each group. In this case, the population is the football players, and the groups are the varsity and junior varsity teams. The coach randomly selects one of these teams and then asks all players from that team their opinion on a new logo.
This type of sampling is used when the population is divided into subgroups that are different in some way, and the researcher wants to ensure that these subgroups are represented in the sample. In this case, the coach wants to ensure that both varsity and junior varsity players are represented in the sample, as they may have different opinions on the new logo.
It's not a simple random sample because he selected the team first and then the players. Also, it's not a voluntary response sample because the coach is selecting the players.
It's not a cluster sample because the coach is not selecting the players based on location or geographic proximity, and it's not a systematic sample because he is not selecting the players based on the order in which they appear in a list or a database.
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HELP BRAINIEST TO WHOEVER RIGHT
Answer:
180 degrees
Step-by-step explanation:
Two angles are called supplementary when their measures add up to 180 degrees.
please solve asap thanks
\(\\ \sf\longmapsto \dfrac{r}{11}+3+r\)
Put values\(\\ \sf\longmapsto \dfrac{22}{11}+3+22\)
\(\\ \sf\longmapsto 2+3+22\)
\(\\ \sf\longmapsto 22+5\)
\(\\ \sf\longmapsto 27\)
5x + 3y = 134
x+y = 32
Answer:
(19,13)
x = 19
y = 13
Step-by-step explanation:
5x + 3y = 134
x + y = 32 ⇒ multiply through by -3 -3x -3y = -96 add this to the first equation
5x + 3y = 134
-3x -3y = -96
2x = 38 Divide both sides by 2
x = 19
Substitute 19 for x
x+ y = 32
19 + y = 32
y = 13
A rocket is launched from the top of a building. The flight path is modelled by h = -4t2 + 16t + 24
where h is the height of the rocket from the ground in metres, and t is the time in seconds. What is the initial height of the rocket, when will the rocket hit the ground and what is the height of the rocket after 4 seconds
The initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The initial height of the rocket is given by the value of h when t = 0:
h(t)=-4t² + 16t + 24
h(0)=-4(0)² + 16(0) + 24
h(0)=24
So the initial height of the rocket is 24 metres.
The rocket will hit the ground when its height is 0 metres, so we can set h = 0 in the equation and solve for t:
0 = -4t²+ 16t + 24
-4t² + 16t + 24 = 0
t=-0.88 seconds
So the rocket will hit the ground after approximately 0.88 seconds.
The height of the rocket after 4 seconds is given by:
h(4)== -4(4)²+ 16(4) + 24
=-64+64+24
=24
So the height of the rocket after 4 seconds is 24 metres.
Hence, the initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.
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Eli and Amy brought in 3 packs of stickers to give out to their two classes. They had enough for Mrs. O’s 21 students, Mrs. L's 24 students and even had 15 stickers left over! How many stickers were in each pack?
ill give brainliest semester ends tommorow
Answer: We can set up the equation 21 stickers/pack + 24 stickers/pack + x stickers/pack = 15 stickers.
We can solve this equation to find that x, the number of stickers in each pack, is equal to 6 stickers/pack. Answer: 6
Answer: 20
Step-by-step explanation:
24 + 21 = 45
45 + 15 = 60
60 / 3 = 20
i need help with this question please
1. Finding the area of the large rectangle:
Area of large rectangle = (3x + 6)(2x + 4)=> Area of large rectangle = 6x² + 12x + 12x + 24=> Area of large rectangle = 6x² + 24x + 242. Finding the area of the small rectangle:
Area of small rectangle = (x - 1)(x - 3)=> Area of small rectangle = x² - 3x - x + 3=> Area of small rectangle = x² - 4x + 33. Finding the area of the shaded region:
Area of shaded region = (6x² + 24x + 24) - (x² - 4x + 3)=> Area of shaded region = 6x² + 24x + 24 - x² + 4x - 3=> Area of shaded region = 5x² + 28x + 21Thus, Option D is correct.
Is 80.19 larger than 15.07%
Answer:
yes if there is not a yes can u tell me the things
Answer:
Yes. Because i looked on the internet and it said it was
if point c divides a directed line segment from point A to point B in a 1 : 5 ratio, what are the coordinates of point B?
The location of the point B on the line with the endpoints is 63
How to determine the coordinates of the segment?On the segment, we have the following endpoints
A = -3
C = 8
Rewrite the endpoints of the line segment as
A = (-3,0) and C = (8,0)
The ratio of the line is given as
Ratio, A : B = 1 :5
This means that
Point C = A/A + B
So, we have
C = 1/1 + 5
Evaluate
C = 1/6
The coordinate of point C on the line segment is calculated using
Point C = C * (B - A) + A
So, we have
8 = 1/6 * (B + 3) - 3
This gives
1/6 * (B + 3) = 11
So, we have
B + 3 = 66
Subtract 3
B = 63
Hence, the coordinate of the point B on the line segment is 63
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Possible question
if point c divides a directed line segment from point A to point B in a 1 : 5 ratio, what are the coordinates of point B?
A = -3 and C = 8
If Charli spent 4 more hours per week on an app than Addison and the two girls combined spent 38 hours on the app per week, how many hours did each of them spend?
Addison spent 17 hours on the app and Charli spent 21 hours on the app
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x² – 2x + 3; f(x) = –6x
Answer:
its definitvely 6
Step-by-step explanation:
2 by 4 by the 3 empfs and by the 123 divided by the 360 and by the iscoceles and the 4 cohedrons
Answer:
Step-by-step explanation:
im stuck on this can someone plz help
I believe the answer is 4
What I did was add 62 and 55 then subtract 60 then divide by 14 and got 4
How many eighths are there in 4 3/8
ANSWER:
Answer:
35/8
Step-by-step explanation:
4×8= 32 plus the 3/8 equals 35/8
hope it helps
Buddy and Michael get into a
snow fight with some boys on the
way home from school. It seems
as though Buddy can throw 4
times as many snowballs as the
boys can. If Buddy throws 1200
snowballs, how many did the boys
throw? Write an equation and
solve.
Answer:
1500
Step-by-step explanation:
1200/4=300
1200+300=1500
Answer:
This means the boys throw 300 snowballs while Buddy throws 1200 snowballs
Step-by-step explanation:
Equations
Let's call
x = number of snowballs the other boys throw.
4x = number of snowballs Buddy throws.
We know Buddy throws 1200 snowballs, thus
4x = 1200
Divide by 4:
x = 1200/4
x = 300
This means the boys throw 300 snowballs while Buddy throws 1200 snowballs
Milan is on the swim team. Each day he swims 850m. How far does he swim in 5 days?
Answer:
4250 m
Step-by-step explanation:
1 day = 850
5 days = 850×5
= 4250