There are 12 more apples than oranges in the basket of 36 apples and oranges. How
many apples are there in the basket?
Answers
Step-by-step explanation:
Required Answer:-Total number of fruits=36Let
the number of oranges =x
The number of apples=x+12
ATQ\({:}\leadsto \)\(\sf x+x+12=36 \)
\({:}\leadsto \)\(\sf 2x+12=36 \)
\({:}\leadsto \)\(\sf 2x=36-12 \)
\({:}\leadsto \)\(\sf 2x=24 \)
\({:}\leadsto \)\(\sf x={\dfrac {24}{2}}\)
\({:}\leadsto \)\(\sf x=12 \)
Number of Apples =12+12=24Answer:
24 apples
Step-by-step explanation:
apples = x
oranges = y
y+12 = x
x+y = 36
y+y+12 = 36
2y = 24
y = 12
x = 24
PLS GIVE BRAINLIEST
Related Questions
You are at the top of a roller coaster 85 feet above the ground. You ride 100 feet down the hill. What is the angle of depression (round to the nearest tenth)
Answers
this is
so,
\(\begin{gathered} \sin x=\frac{85}{100} \\ \sin x=\frac{17}{20} \\ x=\sin ^{-1}(\frac{17}{20}) \\ x=58.2 \end{gathered}\)answer: 58.2°
To carry a bag of 50kg rice at the distance of 4
km a porter charges Rs.75. How much does the
porter charge at the same rate to carry a bag of
80kg rice to the distance of 10km?
b. 500
d. 700
a. 400
c. 600
Answers
Answer:
The porter charges Rs 300 at this rate.
Step-by-step explanation:
We solve this question by proportions, using rule of three.
75 Rs - 4 km - 50 kg
x Rs - 10 km - 80 kg
Relationship between the variables:
As the distance, or the weight increase, the rate will increase. This means that:
\(\frac{75}{x} = \frac{4*50}{10*80}\)
\(\frac{75}{x} = \frac{200}{800}\)
\(\frac{75}{x} = \frac{2}{8}\)
\(x = \frac{75*8}{2} = 75*4 = 300\)
The porter charges Rs 300 at this rate.
Which number is on the y-axis (4,6)
Answers
Answer:
6
Step-by-step explanation:
I need to know how to solve this question and how to do these things on my rubric Represent the other quantities in terms of XAnswer the question in complete sentences
Answers
Answer
The number of units given that the company has an average cost of $100 per unit is 460 units
SOLUTION
Problem Statement
The question tells us a company's fixed cost is $11,500 while it costs $75 per unit for each unit they produce. We are asked to find the number of units produced by the company that would result in an average cost per unit of $100.
Method
- The fixed cost of a company is the cost of all the operations whose cost never changes.
- The production cost of $75 per unit represents the cost of producing one unit of their product.
- Thus, we can ascertain the total production cost of the company by adding the Fixed cost to the Production cost. That is:
\(\text{Total Cost }=\text{ Fixed cost }+\text{ Production cost}\)- The average cost of a company is simply the average cost of running the company per every unit of production. Simply put, it is the ratio of the total cost and the number of units produced.
Thus, we can say that:
\(\text{Average cost }=\frac{\text{Total Cost}}{\text{Number of units produced}}\)- It is with the above formula we shall solve the question.
Implementation
- To apply the Average cost formula, we need to first find the Total cost. Total cost is made up of Fixed cost and Production cost.
\(\begin{gathered} \text{Fixed cost}=11,500 \\ \text{Production cost for 1 unit}=75\text{ for 1 unit.} \\ \text{ Production cost for n units }=75\times n=75n \\ \\ \therefore\text{Total cost }=Fixed\text{ cost + Production cost} \\ \\ Total\text{ cost}=11,500+75n \end{gathered}\)- Now that we have the expression for Total cost, we can proceed to use the formula for average cost above
\(\begin{gathered} \text{Average cost}=100 \\ \text{Total cost}=11,500+75n \\ \text{Number of units produced}=n \\ \\ \therefore\text{Average cost}=\frac{\text{Total Cost}}{\text{Number of units produced}} \\ \\ 100=\frac{11,500+75n}{n} \\ \text{Cross-multiply} \\ 100n=11,500+75n \\ \text{Subtract 75n from both sides} \\ 100n-75n=11,500 \\ 25n=11500 \\ \text{Divide both sides by 25} \\ \frac{25n}{25}=\frac{11500}{25} \\ \\ \therefore n=460\text{units} \end{gathered}\)Summary of Solution
To solve this question, we followed these steps:
1. We found the expression for the total cost of the company.
\(\begin{gathered} \text{Total cost}=\text{ Fixed cost }+\text{ Production cost} \\ \text{Total Cost }=11,500+75n \\ \\ \text{where, } \\ n=\text{The number of units produced} \end{gathered}\)2. We applied the formula given below to find the number of units produced (n).
\(\text{Average cost}=\frac{\text{Total cost}}{\text{Number of units produced}}\)Final Answer
The number of units given that the company has an average cost of $100 per unit is 460 units
Given rhombus QRST, find the
perimeter if QU = 3 and RU equals 4.
Q
R
T
U
X
S
Answers
The perimeter of the rhombus in this problem is given as follows:
19.8 units.
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The diagonal length can be obtained as follows:
QU = US = 3.RU = UT = 4.RU + UT = 7.
Applying the Pythagorean Theorem, the side length is obtained as follows:
x² + x² = 7²
2x² = 49
\(x = \sqrt{\frac{49}{2}}\)
x = 4.95.
Then the perimeter is given as follows:
P = 4 x 4.95
P = 19.8 units.
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15
A principal needs to order 1,437 T-shirts for students at her school. She rounds to the nearest hundred
to estimate the number of T-shirts to order. Will there be enough T-shirts for all the students? Explain.
Answers
There will not be enough T-shirts for all the students
How to determine if the T-shirts will be enough?From the question, the given parameters are:
Number of T-shirt = 1437
From the question, we understand that the principal approximates the number of T-shirts to the nearest hundred
When the number of T-shirts is approximated to the nearest hundred, we have
Approximation = 1400
By comparison, 1400 is less than 1437
This means that the T-shirts will not be enough
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Solve for b.
a(b – 2c) +d=12
Answers
Is 21 over the square root of 4 a rational or irrational?
Answers
The algebraic expression ''21 over the square root of 4'' is a Rational number.
What is square root of a number?
The square root of a number is a value that multiplied by itself gives the same number.
Given that;
The algebraic expression is;
⇒ ''21 over the square root of 4''.
Now,
Since, The algebraic expression is;
⇒ ''21 over the square root of 4''.
It can be written as;
⇒ 21 / √4
⇒ 21 / 2
Since, The number 21 / 2 is of the form p / q where, 2 ≠ 0.
Hence, The number 21 / 2 is a Rational number.
Therefore,
The algebraic expression ''21 over the square root of 4'' is a Rational number.
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What is the distance between the points (-2,1) and (5,-4)
Answers
Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
Distance between two pointsThe distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.
In other words, the distance between two points in space is the magnitude of the vector formed by said points.
So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:
distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)
Distance between the points (-2,1) and (5,-4)In this case, you know:
(x1, y1): (-2,1)(x2, y2): (5,-4)Replacing in the definition of distance:
distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)
distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)
distance= \(\sqrt{7^{2} +(-5)^{2} }\)
distance= \(\sqrt{49+25 }\)
distance= √74= 8.6023
Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
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50 POINTS BRAINLIEST
Answers
Answer:
31 degrees
Step-by-step explanation:
Measure angles 1 and 3 are vertical angles, meaning they are equal which means 3 = 149 degrees
Angles 2 and 3 are adjacent and supplementary, meaning that their angles add up to 180.
180 - 149 = 31 degrees
Answer:B would be right so you are right!(give other user brainliest)
Step-by-step explanation:
Rewrite each of the following as equivalent expressions without the use of negative or zero exponents
Remember your order of operations
Answers
Answer:
Step-by-step explanation:
1/5³
1
1/2⁵
4
1
y⁴/x²
Every 2 centimeters on a floor plan represents
meters of the house. The dining room is 8 cm by
10 cm on the floor plan, and the bedroom is 6cm by10cm on the floor plan. If installing tile costs $34
per square meter and installing carpet costs $21 per
square meter, how much would it cost to install tile
in the dining room and install carpet in the bedroom?
Show your work.
Answers
Given statement solution is :- It would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.
Given:
Every 2 centimeters on the floor plan represents 1 meter of the house.
Dining Room:
On the floor plan, the dining room is 8 cm by 10 cm.
Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.
The area of the dining room is 4 meters * 5 meters = 20 square meters.
Bedroom:
On the floor plan, the bedroom is 6 cm by 10 cm.
Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.
The area of the bedroom is 3 meters * 5 meters = 15 square meters.
Now, let's calculate the costs.
Cost of Tile:
The cost of installing tile is $34 per square meter.
The area of the dining room is 20 square meters.
Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.
Cost of Carpet:
The cost of installing carpet is $21 per square meter.
The area of the bedroom is 15 square meters.
Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.
Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
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Discuss three contributing factors that led to the human violations of human trafficking
Answers
Answer:
Three contributing factors that led to human trafficking
Political instability, militarism, civil unrest, internal armed conflict and natural disasters may result in an increase in trafficking. The destabilization and displacement of populations increase their vulnerability to exploitation and abuse through trafficking and forced labour.
is 16 the decimal value of 1000
Answers
Answer:
0.016
Step-by-step explanation:
Answer:
0.016
Step-by-step explanation:
Solve the system of linear equations by substitution. Check your solution.
Answers
Answer:
(x,y)= (- 2, - 1)
Step-by-step explanation:
A spherical boulder is 24 feet in diameter and weighs almost 6 tons find the volume
Answers
The volume of the spherical boulder is 7234.56 cubic feet.
What is the diameter?
A line connecting the center and the circumference at its opposite ends is called the diameter. Its length is double that of the circle's radius.
The formula for the volume of a sphere is \(V=\frac{4}{3}\pi r^{3}\).
Given the diameter of the sphere is 24 feet.
therefore radius is equal to 12 feet.
The volume of the sphere is equal to
\(V=\frac{4}{3}\pi (12)^{3} \\V=\frac{4}{3} *3.14*1728\\V=7234.56\)
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What is the greatest common factor (GFC) for 18 and 66
Answers
Answer:
The answer is 6!!
Step-by-step explanation: Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
After listing all of the factors, simply find the number that is shown in both of their factors but find the greatest number.
For example 3 is a factor that is the same but isn't the highest factor that is shown in both, it is 6! Hope this helps and Happy Halloween!!! :D
The cost c (in dollars) for the fuel and maintenance of a go-cart is given by c=9x+1500, where x is the number of rides. It costs $34 per ride. How many rides does it take to break even?
Answers
Step-by-step explanation:=x1430
Which of the following values of x will make the equation 3(x-2) –- = 23 true? "Hint, plug in!X=1X=4X=5X=0
Answers
can somone help me please
Answers
Answer:
x=11.75
Step-by-step explanation:
Shen bought a desk on sale for $218.40. This price was 72% less than the original price. What was the original price?
Answers
Answer:
780
Step-by-step explanation:
In this example we will call Original Price = y
72%=0.72
218.40=0.72*y
1-0.72=0.28
218.4÷0.28=780
PLEASE HELP!!
Which inequalities are correct?
Select TWO correct answers.
A. 1.2 <√5/2<1.8
B. √3/2<√2 < 1.5
C. 2.1<2.3<√5
D. √6<2.5<√7
C. √3 < 1.8 < √7/2
Answers
The correct inequalities are:
B. √3/2 < √2 < 1.5
D. √6 < 2.5 < √7
What are inequalities?In mathematics, an inequality is a statement that two values or expressions are not equal. Instead, one value or expression is greater than or less than the other. Inequalities are commonly used to compare quantities or to describe ranges of values.
What are the types of inequalities?Linear Inequalities: These are inequalities that involve linear functions, which are functions that have a degree of 1.Quadratic Inequalities: These are inequalities that involve quadratic functions, which are functions that have a degree of 2.Polynomial Inequalities: These are inequalities that involve polynomial functions, which are functions that can have any degree. Rational Inequalities: These are inequalities that involve rational functions, which are functions that are ratios of polynomials.In the given question,
The correct inequalities are:
B. √3/2 < √2 < 1.5
D. √6 < 2.5 < √7
Option A is incorrect because the value of √5/2 is approximately 1.118 and 1.2 < 1.118 < 1.8 is not true.Option C is incorrect because the value of √5 is approximately 2.236 and 2.1 < 2.3 < 2.236 is not true.Option E is incorrect because the value of √7/2 is approximately 1.323 and √3 < 1.8 < 1.323 is not true.To know more about inequalities, visit:
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#7 determine if it involves independent or dependent and find the probability. how would you do this
Answers
Let's begin by listing out the given information:
Independence in probability means that the outcome of one event does not affect the outcome of the other event
Dependence means that the outcome of an event is tied to or affects the outcome of the other event
a)
white sock = 2
brown sock = 6
black sock = 6
Total sock = 14
I picked a first sock (white) & a second sock (brown)
Before picking the first sock, we have the probability to be:
\(\begin{gathered} P(First)=\frac{NoOf\text{White}sock}{\text{Total}sock}=\frac{2}{14}=\frac{1}{7} \\ P(First)=\frac{1}{7} \end{gathered}\)Because this is a probability without replacement, the number of socks left reduces by 1 to 13. It is from these 13 socks that we picked the second sock (brown) from.
After picking the first sock, we have the probability to be:
\(\begin{gathered} P(Second)=\frac{NoOf\text{Brown}Sock}{\text{Total Sock Left}}=\frac{6}{14-1}=\frac{6}{13} \\ P(Second)=\frac{6}{13} \end{gathered}\)The probability in the first event is a different outcome from the second event. This shows dependence, hence, this is a dependent event
b)
This is a fair six-sided dice
Total outcome = 6
First roll (6) = 1
Second roll (5) = 1
The probability for the first roll is given by:
\(P(FirstRoll)=\frac{\text{Number of sides with the number ''6'' }}{\text{Total Outcome}}=\frac{1}{6}\)The probability for the second roll is given by:
\(P(SecondRoll)=\frac{\text{Number of sides with the number ''5'' }}{\text{Total Outcome}}=\frac{1}{6}\)The probability in the first event is the same as the outcome of the second event. This shows independence, hence, this is an independent event
c)
A spinner has 3 regions. Each region has an equal chance of being landed upon
Total Outcome = 3
The probability for each spin is given by:
\(\begin{gathered} P=\frac{\text{Possible Outcome}}{Total\text{ Outcome}}=\frac{1}{3} \\ P=\frac{1}{3} \end{gathered}\)Each spin represents an independent outcome. Hence, this is an independent event
d)
A box contains 7 milk chocolates & 8 dark chocolates
Total (before picking) = 15 chocolates
Upon picking the first chocolate (milk), the probability is given as:
\(\begin{gathered} P=\frac{\text{Number of Milk C}hocolates}{Total}=\frac{7}{15} \\ P=\frac{7}{15} \\ \end{gathered}\)After the first pick, the total chocolates left is 14. You then randomly pick a dark chocolates, its probability is given as:
\(\begin{gathered} P(2nd)=\frac{\text{Number Of Dark }chocolates}{Tota\text{l Left}}=\frac{8}{15-1}=\frac{8}{14}=\frac{4}{7} \\ P(2nd)=\frac{4}{7} \end{gathered}\)The probability in the first event is a different outcome from the second event. This shows dependence, hence, this is a dependent event
For the following statements, enter T if they are true and F if they are false. Logarithms and
exponentials can be defined for complex numbers, and then can assume complex function values, but
in the questions below concerning domain and range, let's consider only real numbers.
The natural exponential is the reciprocal of the natural logarithm.
The natural exponential is the inverse of the natural logarithm.
The natural exponential is the negative of the natural logarithm.
The domain of the natural logarithm is the set of all positive numbers.
The domain of the natural logarithm is the set of all real numbers.
The domain of the natural exponential is the set of all positive numbers.
The domain of the natural exponential is the set of all real numbers.
Answers
The natural exponential function is given by exponential function that has the Euler number, e, as the base
The correct options are as follows:
The natural exponential is the reciprocal of the natural logarithm: F (False)The natural exponential is the inverse of the natural logarithm: T (True)The natural exponential is the negative of the natural logarithm: F (False)The domain of the natural logarithm is the set of all positive numbers: T (True)The domain of the natural logarithm is the set of all real numbers: F (False)The domain of the natural exponential is the set of all positive numbers: F (False)The domain of the natural exponential is the set of all real numbers: T (True)The reasons why the above options are correct are;
The natural exponential function is f(x) = \(e^x\), where e = Euler's number. It is the base of the natural logarithm, therefore;
\(log_e(y) = x\)
\(e^x\) = y
\(e^x \neq log_e(y) = x\)
f(y) = \(log_e(y)\)
f⁻¹(y) = y = \(e^x\)
Which gives;
The natural exponential is the reciprocal of the natural logarithm: FThe natural exponential is the inverse of the natural logarithm: TThe natural exponential is the negative of the natural logarithm: FThe input of the natural logarithm is y, where y = \(e^x\), therefore, y is always positive, given that e is positive
Therefore;
The domain of the natural logarithm is the set of all positive numbers: TThe domain of the natural logarithm is the set of all real numbers: FGiven that x in \(\mathbf{e^x}\), can be both positive, negative, fraction, irrational or zero, we have;
The domain of the natural exponential is the set of all positive numbers: FThe domain of the natural exponential is the set of all real numbers: TLearn more about the exponential function here:
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25 PTS Professor Ivy’s students have a Mean grade of 69.5 and a Standard Deviation of 6.5.
If Johnny has an 82 in the class, what would the z-score for Johnny’s grade be? (round to the tenths place)
What percentile does Johnny’s score put him in? (round to the nearest whole number)
Answers
The z-score for Johnny’s grade is 1.92.
Johny's score falls into the 97.28 percentile
What is a normal distribution?
The standard deviation determines the width of the curve in a normal distribution, which depicts a symmetrical representation of data around its mean value. It is represented graphically as the "bell curve."
Here, we have
mean = 69.5, std. deviation = 6.5 , x = 82
A. By normal distribution formula,
z = ( x - mean) / std. deviation
z = (82 - 69.5) / 6.5
= 1.92
Hence, the z-score for Johnny’s grade is 1.92.
B. P(z<1.92) = 0.9728
Hence, Johny's score fall into 97.28 percentile.
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12,110 members is what percent of 21,625 members? Please show work
Answers
Answer:
56
Step-by-step explanation:
12110 × 100
21625
=1211000
21625
=56
For the following exercises, determine whether each of the following relations is a function_ 1.y =2x + 8 2. {(2, 1), (3,2), (-1,1), (0, -2)}
For the following exercises, evaluate the function f(x) = -3x2 + 2x at the given input: 3. f(-2) 4. f(a)
Answers
The value of the evaluated function f(x) = -3x² + 2x at
(i) f(-2) is -16 ;
(ii) f(a) is -3a² + 2a .
The Function is represented as : f(x) = -3x² + 2x ;
(i) We have to evaluate the above function at f(-2),
So, we substitute x = -2 into the function:
we get ;
⇒ f(-2) = -3(-2)² + 2(-2)
⇒ f(-2) = -12 - 4 = -16 .
So , f(-2) = -16 .
(ii) Next we have to evaluate f(a),
So , we substitute x = a into the function:
⇒ f(a) = -3a² + 2a
So , f(a) = -3a² + 2a .
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The given question is incomplete , the complete question is
For the following exercises, evaluate the function f(x) = -3x² + 2x ; at the given input: (i) f(-2) (ii) f(a) .
Find the next four terms in the sequence.
1,-4, 16, -64, ...
Answers
Answer:
256, -1024, 4096, -16384
i think that's it
it's being multiplied by -4 (geometric)
To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
Answers
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
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For the function f(x)=\(x^{2} +3x-18\) solve the following. f(x)\(\geq 0\)
Answers
-b + sqrt b^2 -4ac / 2a
-3 + 3 -4 (-18) / 2
72 / 2
36