Melanie: 15 years old
Kevin: 5 years old
Assume Kevin's present age is x.
That means that 3 years ago, his age would be x - 3.
Melanie's age would be 6(x - 3).
Same thing for 5 years into the future:
Kevin's age would be x + 5.
Melanie's age would be 2(x + 5).
The two equations we have here are:
\(\left \{ {{x + 5 = 2(x + 5)} \atop {x - 3 = 6(x - 3)}} \right.\)
By subtracting both equations, we are simplified to:
8 = -4x + 28
By solving the equation, we get x = 5.
That means that Kevin's current age is 5 years old.
Melanie's age could be calculated by substituting Kevins'.
6(x - 3) --> 6(5 - 3) --> 12
Since that was 3 years ago, you need to add 3 to 12 to get her current age.
12 + 3 = 15
Melanie's current age is 15 years old.
OFFERING 88 POINTS AND BRAINLIEST TO THE FIRST ANSWER PLEASE HELP ME FAST
Answer
\(168in^{2}\)
Step-by-step explanation:
SA=2(wl+hl+hw)
2·(6·2+9·2+9·6)
=168
A trucking company delivered 4,604 cubic yards of
gravel. They also delivered 3 times that many cubic yards
of sand. How many cubic yards of sand did they deliver?
Find the volume. Find the volume of the given sphere
Solution
The volume of a sphere is
\(V=\frac{4}{3}\pi r^2\)Where radius = diameter/2
radius = 5.6/2 = 2.8 cm
\(V=\frac{4}{3}\times3.14\times2.8^3=91.906\text{ cm}^3\)Hence, the correct option is D
Write 6 1/6 as an improper fraction
Answer:
37/6
Step-by-step explanation:
The improper fraction is 37/6.
What is improper fraction?
An improper fraction is defined as a fraction whose numerator is greater than the denominator. Suppose, x/y is an improper fraction, such that x > y. It is therefore, the improper fraction is always greater than one.
Fractions have two parts, numerator and denominator. If ⅓ is a fraction, then 1 is the numerator, and 3 is the denominator. An improper fraction has a numerator greater than the denominator. For example, 3/2 is an improper fraction.
Given fraction is \(6\frac{1}{6}\)
firstly we will multiply 6 by 6 and then we will add 1
(36+1)/6
= 37/6
Which is improper fraction.
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What is the quotient?
Answer:
3/2
Step-by-step explanation:
● (-3/8) ÷(-1/4)
Flip the second fraction by putting 1 instead 4 and vice versa.
● (-3/8)* (-4/1)
-4 over 1 is -4 since dividing by 1 gives the same number.
● (-3/8)*(-4)
Eliminate the - signs in both fractions since multiplying two negative numbers by each other gives a positive number.
●( 3/8)*4
● (3*4/8)
8 is 2 times 4
● (3*4)/(4*2)
Simplify by eliminating 4 in the fraction.
● 3/2
The result is 3/2
FIN220 Q19
QUESTION 19 Based on the data below calculate the company's annual holding cost? Annual requirements = 7500 units Ordering cost = BD 12 Holding cost-BD 0.5 O 150 300 45000 O 12.5
To calculate the company's annual holding cost, we need to multiply the annual average inventory by the holding cost per unit.
First, we need to calculate the annual average inventory. The formula for the average inventory is (Q/2), where Q represents the order quantity.
Given:
Annual requirements (Demand) = 7500 units
Ordering cost = BD 12
Order quantity (Q) = 150, 300, 45000 (Assuming these are different order quantities)
Holding cost per unit = BD 0.5
For each order quantity, we can calculate the annual average inventory using the formula (Q/2). Then, we multiply the average inventory by the holding cost per unit.
For order quantity Q = 150:
Average Inventory = Q/2 = 150/2 = 75 units
Holding Cost = Average Inventory * Holding cost per unit = 75 * 0.5 = BD 37.5
For order quantity Q = 300:
Average Inventory = Q/2 = 300/2 = 150 units
Holding Cost = Average Inventory * Holding cost per unit = 150 * 0.5 = BD 75
For order quantity Q = 45000:
Average Inventory = Q/2 = 45000/2 = 22500 units
Holding Cost = Average Inventory * Holding cost per unit = 22500 * 0.5 = BD 11250. Now, we sum up the holding costs for each order quantity:
Annual Holding Cost = BD 37.5 + BD 75 + BD 11250 = BD 11362.5 Therefore, the company's annual holding cost is BD 11362.5.
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There are 80 students in a class if 15% are absent on a particular day find the number of students present in the class? Solve on a double number line
To solve this problem using a double number line, we can start by placing 100 marks on the line to represent the total number of students in the class. Then we can label 15 of those marks as absent students.
Next, we can find the distance between two marks on the line by dividing 100 by the number of marks (in this case, 100/100 = 1). Using this scale, we can find the distance between 15 marks by multiplying 15 by the distance between two marks:
15 marks × 1 = 15
So, 15% of the students are absent, which means that 100% - 15% = 85% of the students are present. We can find the number of students present by multiplying the total number of students (80) by the percentage that are present (85% or 0.85):
80 × 0.85 = 68
Therefore, there are 68 students present in the class on the particular day. We can mark this on the double number line by counting 68 marks from the zero point (where the absent marks start) in the direction of the 100 marks.
Answer:
there are 68 students present in the class on the particular day.
Step-by-step explanation:
Whats 36/2/3 simplify
Answer:
6
Step-by-step explanation:
This is calculated in order from left to right. This is same as: (36/2)/3
36/2/3= 18/3=6Note:
It would be calculated as below if the parenthesis was differently applied:
36/(2/3) = 36* 3/2 = 54Answer:
6
Step-by-step explanation:
A town has 10 acres of conservation land. The town plans to increase the amount of conservation land about 11. 5% every 5 years. If the town continues to follow their plan, how much conservation land will there be after 75 years?
We can conclude that after 75 years, the town will have 53.3 acres of conservation land.
Given that a town has 10 acres of conservation land and plans to increase the amount of conservation land by 11.5% every 5 years, we can calculate the amount of conservation land there will be after 75 years.
To determine the increase in conservation land over 5 years, we use the formula:
Increase = (11.5/100) × 10 = 1.15 acres
The conservation land after 5 years would be:
10 + 1.15 = 11.15 acres
Continuing this pattern, we can find the conservation land after 10 years, 15 years, and so on:
Conservation land after 10 years = 11.15 + 1.15 = 12.3 acres
Conservation land after 15 years = 12.3 + 1.15 = 13.45 acres
We can continue this calculation for each 5-year interval up to 75 years, as follows:
Conservation land after 20 years = 16.3 acres
Conservation land after 25 years = 18.05 acres
Conservation land after 30 years = 19.97 acres
Conservation land after 35 years = 22.13 acres
Conservation land after 40 years = 24.56 acres
Conservation land after 45 years = 27.3 acres
Conservation land after 50 years = 30.4 acres
Conservation land after 55 years = 34.0 acres
Conservation land after 60 years = 38.0 acres
Conservation land after 65 years = 42.4 acres
Conservation land after 70 years = 47.5 acres
Conservation land after 75 years = 53.3 acres
Therefore, after 75 years, the town will have approximately 53.3 acres of conservation land.
Applying the above calculations, we can conclude that after 75 years, the town will have 53.3 acres of conservation land.
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I’ll rate you 5 stars and like you comment what’s the slope intercept simplified
Answer:
Slope: y = x
Step-by-step explanation:
Two ordered (-5,0) and (0, 5)
slope = Change in the y-values/ change in the x-value
slope = (5 - 0)/ [0 - (-5)] = 5/5 = 1
slope-intercept form: y = mx + b Using ordered pair (0, 5)
y = mx + b
5 = 1(0) + b
5 = 0 + b
5 = b
Slope-intercept form: y = mx ; y = x
Two runners start the race at the same time. the first runner's speed is 4/5 of the speed of the second runner. after 30 minutes the runners are 2 miles apart whats the speed of each runner
Answer: 3.33 miles per hour.
Step-by-step explanation: To find the speed of the second runner, we can assume their speed is x miles per hour. Using the fact that the first runner's speed is 4/5 of the second runner's speed, we can set up the equation x - 0.4x = 2 to solve for x.
Solving for x, we get x = 3.33 miles per hour.
PLEASE HELP 30 POINTS!
Answer:
The pentagon.
Step-by-step explanation:
Mark me Brainliest.
A few definitions...
A regular polygon is a polygon that has equivalent sides and angles.Explanation:
We can see that all options except Option C have equal sides and angles. Thus, Option C must be correct.Which residual plot would you examine to determine whether the assumption of constant error variance is satisfied for a model with tut, independent variables x; and x2? a. Plot the residuals against the independent variable x2 b. Plot the residuals against the independent variable x1 c. Plot the residuals against predicted values y d. Plot the residuals against observed y values.
To determine whether the assumption of constant error variance is satisfied for a model with tut, independent variables x, and x₂, you would examine the residual plot where the residuals are plotted against predicted values y.
This plot is also known as the plot of residuals versus fitted values. In this plot, if the residuals are randomly scattered around the horizontal line of zero, then the assumption of constant error variance is satisfied. However, if there is a pattern in the residuals, such as a funnel shape or a curve, then the assumption of constant error variance may not be met. It is important to ensure that the assumption of constant error variance is met, as violation of this assumption can lead to biased and inefficient estimates of the model parameters. Additionally, it can affect the reliability of statistical inferences and lead to incorrect conclusions.
In summary, to determine whether the assumption of constant error variance is satisfied for a model with tut, independent variables x, and x₂, you would examine the residual plot where the residuals are plotted against predicted values y. It is important to check this assumption to ensure the validity of the model and the accuracy of the results.This plot allows you to assess the variance of the residuals and identify any patterns, which could indicate that the assumption of constant error variance may not be met. If the plot shows no discernible pattern and the spread of residuals appears to be uniform across the range of predicted values, the assumption of constant error variance is likely satisfied.
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Which postulate proves these two triangles are congruent? A. ASA C. HL B. None, not congruent D. SSA
Answer:
A
Step-by-step explanation:
They have the same side, one side is congruent to itself.
alternate interor angle are the same, which is:
Top left of the triangle on the left + botton right of the triangle on the right,
and top left on the triangle on the right + botton right of of the triangle on the left.
what is it the answer to 1/4 =100
The answer for the fraction 1/4 of 100 is 25.
Given,
The fraction; 1/4
We have to find the 1/4 of 100.
Fraction;
A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.
There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions
Here,
1/4 of 100 = 1/4 x 100 = 25.
That is,
The answer for the fraction 1/4 of 100 is 25.
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coach tim needs to fill five
volleyballs with air. if each
volleyball has a diameter of 8
inches, what is the total volume
of air that coach tim will
need? round to the nearest
whole number
The total volume of air that coach Tim will need to fill is \(1,340^{3} inches\).
To find the total volume of air that coach Tim will need:
The formula of volume = \(\frac{4}{3}\) × \(\pi\) × \(r^{3}\)
Given - Diameter of volleyball = 8 inches
So, the radius of volleyball = \(\frac{8}{2}\) = 4 inches
Now, put the values in the formula of volume as follows:
\(\frac{4}{3} * \pi * 4^{3}\)
\(\frac{4}{3} * \pi * 64\)
\(\frac{4}{3} * 3.14 * 64\\\frac{4}{3} * 201.06\\4 * 67.02\\268.08\)
To find total volume = \(268.08 * 5\)
\(= 1340.4\)
Rounding off to the nearest whole number = \(1,340^{3} inches\)
Therefore, the total volume of air that coach Tim will need to fill is \(1,340^{3} inches\).
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Which graph best represents a function with zeros of -3,0 and 2
The graph C. represents the polynomial with zeros of -3, 0 and 2.
What are zeros of a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
All the x-values that bring a polynomial, p(x), to zero are referred to as its zeros. They are intriguing to us for a variety of reasons, one of which is that they provide information about the graph's x-intercepts for the polynomial.
Alternately, we might state that the zeros of the polynomial are the x-intercept of its graph. Thus, the needed function is represented by the graph with the coordinates -3, 0, and 2.
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The complete question is as follows:
Select the correct answer.
Which graph best represents a function with zeros of -3, 0, and 2?
Graph the following function. What are the domain and range of the function? Describe the intervals over which the function is positive and
over which it is negative.
d(x)=3|x|
The domain of the function is all real numbers
The range of the function is all non-negative real numbersThe function is always positive.How to determine the domian and the rangeThe given function is:
d(x) = 3|x|
The absolute value of any number is always non-negative, so the expression inside the absolute value must be greater than or equal to zero:
|x| ≥ 0
So the domain of the function is all real numbers
To find the range of the function, we can note that the output of the absolute value function is always non-negative.
So, the range of the function is all non-negative real numbers.
The positive and the negatie intervalFrom the attached graph
The function is always positive and never negative.
So, it has no negative interval
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the elevator at an old hotel has a weight limit of 1200 pounds. Assume the average person weighs 150 pounds and has a 10 pound luggage. What is the greatest amount of people that can ride the elevator at the same time
A: 7 people
B: 9 people
C: 11 people
D: 13 people
A food truck sells tacos for 6.50 each and burritos for 7.50 each. The food truck's revenue from selling a total of 164 tacos and burritos in one day is 1157.00. How many tacos and burritos were sold that day?
Answer:
12 burritos and 167 tacos
Step-by-step explanation: 164 x 6.5 = 1066
1157 - 1066 = 91
91/7.5 about 12
164 tacos and 12 burritos
flor ha colocado ¹1/4 kg de papa sobre una balanza . si un cliente le quiere comprar 2 kg de papa , ¿cuantos kilogramos (kg) de papa debe agregar flor sobre l balanza para cumplir con el pedido?
a)3/4 kg de papa
b)¹ 3/4 kg de papa
c1/4 kg de papa
d)¹ 1/4
RAPIDO POR FAVOR E UN EXAMEN SALVEMME LA VIDA
Answer:
a). 3/4 kg de papa
Step-by-step explanation:
Given that,
Patata colocada en balanza = 1 1/4 Kg
Flor de papa total quiere = 2 kg
Encontrar,
Se agregará más peso en la báscula para que sea de 2 kg =?
Procedimiento:
Peso requerido para ser colocado = Peso total - peso colocado
= 2 - \(1\frac{1}{4}\)
= 2 - 5/4
= (8 - 5)/4
= 3/4 kg
Albert’s father is 24 years older than Albert. In 8 years, his father will be twice as old as Albert. How old is Albert now? How old is his father?
Answer:
Albert is 24. Albert's father is 48
Step-by-step explanation:
a high school senior uses the internet to get in- formation on february temperatures in the town where he’ll be going to college. he finds a web site with some sta- tistics, but they are given in degrees celsius. the conver- sion formula is °f
It reaches a high of 51.8 degrees Fahrenheit. There is a 59.4 degree F range. 12.6 degrees Fahrenheit is the standard deviation. The average temperature is 33.8°F. The median temperature is 35.6 °F. IQR is 60.8 degrees Fahrenheit.
What is statistics?The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem. The study of gathering, analyzing, interpreting, presenting, and organizing data in a particular way is the focus of the mathematic branch known as statistics. The process of gathering data, classifying it, presenting it in a way that makes it understandable, and then conducting additional analyses of the data is known as statistics.
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w^3 x w^-5
please help and please explain
Answer:
\(\Large \text{$ \frac{1}{w^2} $}\)
Step-by-step explanation:
Given the exponential expression, \(\displaytext\mathsf{w^3\:\times\:w^{-5}}\), where it involves the multiplication of the same base, w, with varying powers.
Using the Product Rule of Exponents, where it states that, \(\displaystyle\mathsf{a^{m}\:\times\:a^{n}\:=\:a^{(m\:+\:n)}}\).
Hence, we simply need to add the exponents:
\(\displaytext\mathsf{w^3\:\times\:w^{-5}\:=\:w\:^{[3\:+\:(-5)]}\:=\:w^{-2}}\)
Next, apply the Negative Exponent Rule, where it states that: \(\displaystyle\mathsf{a^{-n}\:=\:\frac{1}{a^n}}\).
Transforming the negative exponent of \(\displaytext\mathsf{w^{-2}}\) becomes a positive exponent by using the Negative Exponent Rule.
\(\displaytext\mathsf{w^{-2}\:=\:\frac{1}{w^2}}\)
Choose the 4 statements that are true about simple machines.
A(They can change the direction of the force exerted.
B(They can change the force exerted on an object.
C(They increase the amount of work done on an object.
D(They can change the distance over which a force is exerted.
E(They can increase force and increase distance at the same time.
F(Due to friction, the work put into a machine is always greater than the work output of the machine.
G(They decrease the amount of work that a person needs to do to move an object.
10 points !!!!!!!!!!!!
Step-by-step explanation:
the numbers are a bit cut off at the top.
do I understand it correctly that the question is when the balloon loses 6/8 of a cubic foot of air ?
if so, I need to point out that the balloon loses 1/8 of a cubic foot per day.
so, how many days until it loses 6/8 if a cubic foot ?
well, 6 times that of 1/8 of a cubic foot = 6 days.
Someone help me plz???
Answer:
12ft
Step-by-step explanation:
Hope I helped!
May you give me brainliest if it is right?
A chi-square test for independence has df = 2. what is the total number of categories (cells in the matrix) that were used to classify individuals in the sample?
The total number of categories (cells in the matrix) that were used to classify individuals in the sample is 3.
The total number of categories (cells in the matrix) that were used to classify individuals in the sample can be calculated using the degrees of freedom (df) of the chi-square test for independence. In this case, the df is 2. To find the total number of categories, we need to add 1 to the df.
1. Start with the given df of 2 for the chi-square test for independence.
2. To find the total number of categories, add 1 to the df.
3. Therefore, the total number of categories used to classify individuals in the sample is 3.
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Which function has a greater y-intercept?
f(x)=x^2-2x+12
Choose 1 answer:
(Choice A)
F has a greater y-intercept than G.
(Choice B)
G has a greater y-intercept than F.
(Choice C)
F and G share the same y-intercept.
Answer:
A. F has a greater y-intercept than G.
Step-by-step explanation:
Khan Academy said that was the correct answer choice.
Answer:
Step-by-step explanation:
Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually. If the balance in the account four years after the last deposit is to be $31 300.00, how many deposits are needed? (This question asks for 'n')
We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.
To solve this problem, we can use the formula for the future value of an annuity:
\(FV = P * ((1 + r)^n - 1) / r\)
Where:
FV is the future value of the annuity
P is the periodic payment or deposit amount
r is the interest rate per period
n is the number of periods
In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).
We can rearrange the formula and solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Substituting the given values:
n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)
Using a calculator or software, we find that n ≈ 9.989.
Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.
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