The total cost of 5 kg orange and 3 kg apple is Rs.1100. If the rate of orange decreases by 20% and the rate of apple increases by 5%, the total cost of 3 kg orange and 3 kg apple will be Rs. 870. By what percent the cost of 1 kg apple is less or more than 1 kg orange? Find it.
The percentage that the cost of 1 kg apple is more than 1 kg of orange is 100%.
What are the linear equations that represent the question?
5o + 3a = 1100 equation 1
2.4o + 3.15a = 870 equation 2
Where:
o = cost of 1kg of orange a = cost of 1kg of apple What is the cost of 1kg of orange?Multiply equation 1 by 1.05
5.25o + 3.05a = 1155 equation 3
Subtract equation 3 from equation 2
285 = 2.85a
a = $100
What is the cost of one kg of apple?Substitute for o in equation 1
5(100) + 3a = 1100
500 + 3a = 1100
3a = 1100 - 500
3a = 600
a = $200
By what percent the cost of 1 kg apple is less or more than 1 kg orange?($200 / 100) - 1 = 100%
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
If the last 2 months of the year each have the most common amount of rainfall, how much more rain will fall for the year?
Answer:
Step-by-step explanation:
The table shows the amount of rainfall recorded over the first 10 months of a year. Draw a line plot, if needed.
Amount of Rainfall (inches)
Part A
What is the difference between the greatest and least amounts of rainfall in a month?
Let x = the unknown.
Greatest amount= 3 1/4
Least amount = 3/4
x= 3 1/4 - 3/4 = 2 1/2 inches.
Part B
If the last 2 months of the year each have the most common amount of rainfall, how much more rain will fall for the year?
The number with the most common amount is 2 3/4.
2 3/4 + 2 3/4 = 5 1/2 inches.
4 1/6 add 2 3/4 PLEASE
Answer: 6.91666666667, or 6 11/12
PLEASE HELP!
What is the value of x?
Enter your answer in the box.
x =
2√3
hope it helps...!!!
Which of the following is the surface area of the right cylinder below? A. 244π units B. 204π units C.869π units D.352π units
Answer is: D. 352 pi ✅
Why is that the case? Let's see.
When finding surface area, multiply two times pi times the radius times the height.
[tex]A = 2\pi rh+2\pi r^2[/tex]
Now, you need to split these four values into an actual equation.
2 followed by pi radius-height plus two pi radius, is actually the formula for surface added to the formula of area, so;
[tex]2\pi rh+2\pi r^2 = 2 * \pi * 8(radius) * 14 + 2(height~plus~the~two) * \pi * 8^2[/tex]
Solve.
the result is 1105 according to order of operations.
Divide 1105 by pi to get the answer. Pi is 3.14... so for every 3.14..., you count that as one.
[tex]1105 / 3.14 = 351.91...[/tex] which rounds to 352
Therefore, your answer is 352π units²
What feedback should another lab group give during a peer review of the work? the line of best fit is reasonable because it does not go through any points. the line of best fit is reasonable because it goes through the largest cluster of points. the line of best fit is not reasonable because it does not go through any points. the line of best fit is not reasonable because it has more points below it than above it.
The feedback that should be given by another lab during peer review is based on the data contained in the work.
What is peer review?The term peer review refers a detailed analysis of the work that has been done by a scientist to determine the accuracy and reliablity of the data and the conclusions.
The feedback that should be given by another lab during peer review is based on the data contained in the work. Since the work is not shown here, we can not exactly tell the accurate peer review for the work.
Learn more about peer review: https://brainly.com/question/9774552
Answer:
the line of best fit is not reasonable because it has more points below it than above it.
Step-by-step explanation:
Which model best represents the data set? exponential, because there is a relatively consistent multiplicative rate of change exponential, because there is a relatively consistent additive rate of change linear, because there is a relatively consistent multiplicative rate of change linear, because there is a relatively consistent additive rate of change
The first choice, is exponential, because there is a relatively consistent multiplicative rate of change.
What is exponential?An exponential function is a function whose value is a constant raised to the power of an argument
1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.
These are the data:
Time (min) ------ Temperature (°F)
0 ----------------------- 200
10 ---------------------- 180
20 --------------------- 163
30 --------------------- 146
40 ---------------------131
50 -------------------- 118
60 -------------------- 107
2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.
3) The other two options involve exponential models.
The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.
4) You can prove it:
i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:
y₁ = A [r]¹
y₂ = A[r]²
y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.
ii) Test some data:
180 / 200 = 0.9
163 / 180 ≈ 0.906 ≈ 0.9
146 / 163 ≈ 0.896 ≈ 0.9
131 / 146 ≈ 0.897 ≈ 0.9
118 / 131 ≈ 0.901 ≈ 0.9
107 / 118 ≈ 0.907 ≈ 0.9
As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.
To know more about exponential follow
https://brainly.com/question/2456547
Answer:
first choice, exponential, because there is a relatively consistent multiplicative rate of change.
explanation:
because it is <3
Look at this diagram:
a)
What fraction is shaded?
b)
What percentage is shaded?
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
⚘✨ HI BRAINLY USER!! ✨
JUST CLICK THE ATTACHMENT PHOTO⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
#CARRY ON LEARNING #ulzanggirlthWrite the equation of the graph in y=ab^x form.
Answer:
Step-by-step explanation:
solve using the square root method
Answer:
I think it will be helpful
Giving brainly if you answer this question
Answer:
D. 2(√34 + √106)
Step-by-step explanation:
1) Find the hypotenuse of a larger triangle infused in the kite since perimeter means the boundary of a shape. To do so, we need to apply the Pythagoras Theorem.
c² = a² + b²
c² = 5² + 9²
c² = 25 + 81
c² = 106
c = √106
2) Find the hypotenuse of the a smaller triangle infused in the kite.
c² = a² + b²
c² = 3² + 5²
c² = 9 + 25
c² = 34
c = √34
3) Apply the the formula for the perimeter of a kite; 2(a + b), where a is the smaller triangle and b is the larger triangle or vice versa.
= 2(√34 + √106)
Para ir al antiguo correo central donde se pueden visitar las exposiciones del archivo general de la nación partiendo desde Palacio de gobierno Manuel decida y que se debe pasar por un por el pasaje Santa Rosa en cambio que decida que no es necesario que diría esto
The correct option to the statement above is "Manuel está equivocado por qué se demorarían más".
What is the statement about|?La declaración es sobre cómo ir (la dirección a tomar) a la antigua oficina central de correos, ya que la gente quiere ir a ver una exposición del archivo general de la nación. El primer punto de su movimiento fue desde el Palacio de Gobierno.
English interpretation of the above "The statement is about how to go (the direction to take ) to old central post office as the people wants to go and see an exhibitions of the general archive of the nation. The first point of their movement was from the Government Palace".
Conclusively, Manuel decides the direction to take that is a passage from Santa Rosa but they believe that Manuel is mistaken and why they would take a long time more" as in the statement "Manuel está equivocado por qué se demorarían más".
Learn more about Spanish sentence from
https://brainly.com/question/22412009?answeringSource=feedPublic%2FhomePage%2F19
#SPJ1
If p → q is true, then ~ p → ~ q is __________ true.
Sometimes
Always
Never
Answer:
1. If p is true and q is false, the p -> q is never true.
2. When p is false and q is true, then p or q is always true.
3. If p is true and ~ q is false, then p -> ~ q
N
is never false.
4. If p is true and q is true, then ~ p -> ~ q is always true.
5. If p->q is true and q is true, then p is
always true.
Further Explanation:
The logic gates are used here.
Here, the symbol -> is for implication. Implication p-> q means that if p is true then q must be true.
So let us look at all the questions one by one.
1. p is true and q is false, the p -> q is always, sometimes, never true.
p-> q
true -> false
The true should imply true so the given statement will never be true.
2. When p is false and q is true, then p or q is always, sometimes, never true.
false or true
We know that in or gate even if one input is true, the whole output is true. So this statement will be always true given p is false and q is true.
3. If p is true and~q is false, then P q is always, sometimes, never false.
This translates to:
true -> true
So it will never be false.
4. If p is true and q is true, then ^p -> ~q is always, sometimes, never true.
This translates to:
false false
This will always be true.
5. If p->q is true and q is true, then p is always, sometimes, never true.
If p->q is true and q is true then will always be true. "Implies to" states that in p->q, in order for q to be true p has to be true. So p will always be true.
Are the angle measurements in this triangle correct?
130⁰
30°
30°
OA) Yes, the angle measurements shown are correct.
OB) No, the base angles should be 35 degrees.
C) No, the top angle should be 140 degrees.
OD) No, the top angle should be 120 degrees.
I will mark BRAINLY
Answer:
D
Step-by-step explanation:
The Angle Sum Property of a Triangle states that the internal angles of a triangle add up to 180°Here, the sum is : 130 + 30 + 30 = 190°Therefore, the angle measurements are not correctThe total angle measure of triangle should decrease by 10°By making the top angle 120°, the sum becomes 180°Hence, D is the correct optionPLS HELP marking brainliest
20-27 show ur work
Answer:
-7?
Step-by-step explanation:
I mean, is the question 20 - 27 =? Or it's something else? Lol.
20 - 27 = -7, it's very straightforward cannot write it in more detailed way. When we substract a number from another and the first one is smaller the result is a negative number. Imagine someone sells up to 3 apples, you ask him to give you 5. He gives you all 3 of his so he has 0 but you force him to go and get another 2 for you. He lost another 2, so he has less than 0 now. He has -2 apples: 3 - 5 = -2.
Now, I don't know if this is the question or these are set of exercises you must solve and your picture just didn't upload. Let me know if you need help with anything else.
The foci and the vertices of the hyperbola are labeled.
Which equation represents the hyperbola shown in the graph?
Answer is B
The answer is B and pls mark me brainiest
The equation of the hyperbola is:
(x - 3)² / 9 - (y - 2)² / 16 = 1.
To find the equation of the hyperbola with the given foci and vertices, we need to determine the center, semi-major axis (a), and semi-minor axis (b) of the hyperbola.
The center of the hyperbola is the midpoint between the two vertices:
Center = ((3 + 3) / 2, (5 + (-1)) / 2) = (3, 2).
The distance between the center and one of the vertices gives us the semi-major axis (a):
a = distance between center and vertex = 5 - 2 = 3.
The distance between the center and one of the foci gives us the distance c (the distance from the center to the focus):
c = distance between center and focus = 7 - 2 = 5.
Now, we can find the value of b (the semi-minor axis) using the relationship between a, b, and c in a hyperbola:
c² = a² + b²
5² = 3² + b²
25 = 9 + b²
b² = 25 - 9
b² = 16
b = 4.
Now that we have the center (h, k) = (3, 2), the semi-major axis (a) = 3, and the semi-minor axis (b) = 4, we can write the equation of the hyperbola in standard form:
For a hyperbola (center at (h, k)), the equation is:
(x - h)² / a² - (y - k)² / b² = 1.
Plugging in the values:
(x - 3)² / 3² - (y - 2)² / 4² = 1.
The equation of the hyperbola is:
(x - 3)² / 9 - (y - 2)² / 16 = 1.
Learn more about hyperbola here
https://brainly.com/question/16457232
#SPJ2
There are 12 months in a year.
Use the drop-down menus to help write the equation that can be used to find the
number of months, m, given the number of years, y
Answer:
It is always 12 times the number of years.
Step-by-step explanation:
12 months in 1 year, 12:1
24 months in 2 years, 24:2
36 months in 3 years 36:3
and so on
Jeremiah is creating a playlist that has only one song from each of his favorite genres. The following table shows his favorite genres and the number of songs on his MP3 player for each genre.
Genre Number of songs
Rock 444
Pop 222
Country 777
Classical 888
How many different playlists could Jeremiah create?
Answer:
68009554368
Step-by-step explanation:
mulitply all the numbers by each other
a^1 =5, a^n = a^n-1 (7) explicit formula
Answer:
[tex]a_{n}=5\times \left( 7\right)^{n-1}[/tex]
Step-by-step explanation:
[tex]a_{n}=a_{n-1}\times7[/tex]
Then the common ratio = 7
Then the explicit formula is :
[tex]a_{n}=a_{1}\times \left( 7\right)^{n-1}[/tex]
[tex]=5\times \left( 7\right)^{n-1}[/tex]
How many ways can Caroline choose 6 courses of any type?
Answer:
6 times she can choose courses
There are white, yellow and green counters in a bag in the ratio
5
:
8
:
8
What fraction of the counters are green?
Answer:
8/21
Step-by-step explanation:
the ratio is 5:8:8 so the total is 21 and since green is 8,the fraction is 8 over the total which is 8/21
The ratio of teachers to male students to female students in a school is 3:17:18 if the total number of students in the school is 630 determine the number of teachers in the school
Answer: 54
Step-by-step explanation:
First we add 17 plus 18 to dins total number of students I got 35
Then we make ratio
3/35
So we know we have total number of 630 kids then we make a ratio with no teacher so x
X/630
Lin both together then done ☑️
Thirty adults were asked how many pets they have had over their lifetime. the results are shown in the histogram below. a bar graph entitled lifetime pets has number of pets on the x-axis and number of adults on the y-axis. 14 adults had 1-5 pets; 9 had 6 to 10; 5 had 11 to 15; 2 had 16 to 20. which of the following is most likely true? the mean and median are both in the interval 1–5. the mean and median are both in the interval 6–10. the mean is in the interval 6–10, and the median is in the interval 1–5. the mean is in the interval 1–5, and the median is in the interval 6–10.
Using the concepts of the mean and of the median, it is found that the correct option is given by:
both in the interval 6–10.
What are the mean and the median of the data-set?The mean is the sum of all observations divided by the number of observations.The median is the measure that separates the bottom half of the variable from the upper half, that is, the 50th percentile.To calculate the mean from the histogram, we take the midpoint of each interval and calculate the weighed mean, hence:
[tex]M = \frac{14(3) + 9(8) + 5(13) + 2(18)}{30} = 7.17[/tex]
The median is in the interval in which the 30/2 = 15th measure is, which is also in the interval 6-10, as the interval 1-5 had 14 adults, and after interval 6-10, there are 23 adults.
Hence, the correct option is given by:
both in the interval 6–10.
More can be learned about the mean and the median of a data-set at https://brainly.com/question/24732674
Answer:
The mean and median are both in the interval 6–10.Step-by-step explanation:
Two adjacent angles (A and B) are in the ratio of
4:5. The sum of the angles is equal to 54°. Find
the angle measures.
Answer:
A=24° B=30°
Step-by-step explanation:
add the ratios
4+5=9
A:4/9×54°
A=24°
A+B=54(make B subject)
B=54-A
B=54-24
B=30°
which question is a statistical question
1. who is your teacher?
2. what is your favorite movie?
3. What is the age of each child currently at the zoo?
4. How many pages are in the book you are reading?
5.How many pairs of shoes do students in your school have?
please answer asap
Answer:
5
Step-by-step explanation:
Cause you can actually get multiple different answeres which you can make a statistical question on
A city has 28 radio stations, including 12 college radio stations. What is the probability that a randomly chosen radio station in this city is a college radio station? Write your answer as a fraction or whole number.
Step-by-step explanation:
Given
Number of Radio Stations=28
Number of College Radio Stations=12
[tex]required \: probabilty = \frac{number \: of \: college \: radio \: stations}{total \: number \: of \: radio \: stations} [/tex]
Probability=12/28=3/7
What is the product? (5 r 2)(3 r minus 4) 15 r squared 8 15 r squared minus 8 15 r squared 14 r minus 8 15 r squared minus 14 r minus 8
The product of the given expression in expanded form is 15r^3 - 20r^2
Product of expressionsTaking the product of expression is a way of simplifying the expression.
Given the product below:
(5r^2)(3 r - 4)
Expand
5r^2(3r) - 5r^2(4)
Simpley each term
15r^3 - 20r^2
Hence the product of the given expression in expanded form is 15r^3 - 20r^2
Learn more on expansion here: https://brainly.com/question/26430239
Is the following a statistical question?
How many letters are in the English alphabet?
yes
no
There are 26 letters in the English alphabet and no it’s not a statistical question
What is 1/2 as a fraction 1/2 btw of 80 =?
this is a math Question btw.
Step-by-step explanation:
what is 1/2 as a fraction 1/2 btw of 80 = 50%
50% is your answer
Answer:
50% is the answer
Step-by-step explanation:
1/2 of 80% = 50%
Hello everyone I really need help with this I need answers i’ve been trying to find the answers for almost 1 hour now I’m really bad at math so I need answers. Thank you to whoever answers this