find hcfof 240 and288

Answer:

8 years old

Step-by-step explanation:

Andy = x

Tom = 2x

So..

2x + 4 + x + 4 = 32

3x + 8 = 32

3x = 24

x = 8

Answer:

8 years old

Step-by-step explanation:

If we put Tom's age as x, since Andy is twice as old, Andy's age is 2x. Therefore, since Tom's age + Andy's age in two years is 32,

(x + 4) ← Tom's age in 4 years

(2x + 4) ← Andy's age in 4 years

We can now create an equation:

x+4 + 2x+4 = 32

Combining like terms, x + 2x = 3x, so now we have

3x + 4 + 4 = 32                                

4+4=8, so

3x + 8 = 32

-8          -8

3x = 24

Divide both sides by 3, and you have your answer ;

x = 8

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Answer:

Hi there!

Your answers are:

1) x> 5

Some numbers that would fit this equation are 6, 7, 8, etc!

2) x<= 30

Some numbers that would fit this are 30, 29, 28, etc!

3) x>= 17

Some numbers that would fit this equation are 17, 18, 19, etc!

4) x>= 90

Some numbers that would fit this are 90, 91, 92, etc!

Hope this helps!

The four powers have zero (0) in common

From the question, we are to determine what the four powers have in common

In the question, we can observe that the four powers have 0 in common.

The value of each of the expressions is 1.

Hence, the four powers have zero (0) in common.

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According to the information, we must multiply the amount consumed by each person by the number of people that make up each group.

To calculate the amounts of each ingredient for each group of people we must calculate the total ingredients that each person consumes and then multiply it by the number of people. Each person eats two cookies and a glass of lemonade so the ingredients would be:

butter:

1 cup * 2 = 2 cups

Sugar

2/3 cups + 1tbsp granulated sugar * 2 = 4/6 cups + 2tbsp granulated sugar

4/6 cups + 2tbsp granulated sugar + 2 tsp sugar

flower

2 cups + 1tbsp * 2 = 4 cups + 2tbsp

1tsp vanilla * 2 = 2tsp vanilla

So the amounts would be:

10 people

15 people

24 people

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Answer:

The answer is 6.035%. Brainest, please

Step-by-step explanation:

Answer:

C The probability of rolling a number less than 6 is the same for both number cubes.

Step-by-step explanation:

The answer is, C . The probability of rolling a number less than 6 is the same for both number cubes.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

the red cube has the following numbers on the faces 1,1,2,2,5,6

the blue number cube has the following numbers on the faces 1,2,2,3,4,6

hence, The answer is, C . The probability of rolling a number less than 6 is the same for both number cubes.

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The value of uz cannot be determined based on the information provided in the question. The problem is stated as minimizing X1 and X2 subject to two inequality constraints.

However, the variable uz is not defined or mentioned in the problem statement. Without additional information or clarification, it is not possible to determine the value of uz.

The question does not provide any information or context regarding the variable uz. It is not clear what uz represents or how it is related to the problem of minimizing X1 and X2 subject to the given constraints.

Without further clarification or details, it is impossible to determine the value of uz or its relevance to the given problem. Additional information or a clarification of the problem statement is needed to address the variable uz.

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Answer:

Step-by-step explanation:

24/x = 28/(32 - x)                  Cross multiply

24 * (32 - x) = 28x                 Remove the brackets.

768  - 24x = 28x                   Add 24x to both sides

768 = 28x + 24x

768 = 52x

52x = 768                              Divide by 52

x = 768/52

x = 14.77

AB = 32 - 14.77

AB = 17.23

Answer:

110

Step-by-step explanation:

1. The vertices of image are: N′(1, 2), M′(−2, 1), O′(−1, 3), graph is represented below.

2. The correct answer is (d) x-axis.

3. Line of reflection that produces Y'(9, 3) is the vertical line x = 0.

A line of reflection is a line that acts as a mirror, reflecting a point, a line segment, or a geometric shape over the line.

1. Keep in mind the following when reflecting over a vertical line in the form:  x = a is

\((x, y)\) → \((-x + 2a, y)\)

For reflected over x = -2, so a = -2, apply the above rule;

\((x, y)\) → \((-x + 2(-2))\)

\((x, y)\) → \((-x -4)\)

Apply the preimage reflection over x = −2

N(−5, 2) →  N′ (-(-5)-4, 2) →  N′(1, 2)

M(−2, 1)  → M′(-(−2)-4, 1)  → M′(-2, 1)

O(−3 , 3)  → O′(-(−3)-4, 3) → O′(−1, 3)

Therefore, the vertices of image are: N′(1, 2), M′(−2, 1), O′(−1, 3)

2. For graph ABCD;

Let's label the vertices of the original polygon as A(-6, -2), B(-4, 5), C(1, 5), and D(-1, -2). The vertices of the image polygon are A'(-6, 2), B'(-4, -5), C'(1, -5), and D'(-1, 2).

The midpoint of AA' is ((-6+(-6))/2, (-2+2)/2) = (-6, 0)

The midpoint of BB' is ((-4+(-4))/2, (5+(-5))/2) = (-4, 0)

The midpoint of CC' is ((1+1)/2, (5+(-5))/2) = (1, 0)

The midpoint of DD' is ((-1+(-1))/2, (-2+2)/2) = (-1, 0)

As we can see, all the midpoints lie on the line x = -2, which is vertical. Therefore, the line of reflection used to create the image is the vertical line x = -2.

So, the correct answer is (d) x-axis.

3. To determine the line of reflection that produces Y'(9, 3), we need to find the perpendicular bisector of the segment between Y(-9, 3) and Y'(9, 3).

The midpoint of YY' is ((-9+9)/2, (3+3)/2) = (0, 3).

The segment between Y(-9, 3) and Y'(9, 3) has a slope of (3-3)/(9-(-9)) = 0, which means it is a horizontal line.

The perpendicular bisector of a horizontal line is a vertical line passing through its midpoint. Therefore, the line of reflection that produces Y'(9, 3) is the vertical line x = 0.

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(a) To sketch a graph of the speed over a 3-second time span, we need to know the equation that describes the relationship between speed and time. Without this information, we cannot create an accurate graph.

(b) To find the volume of blood that passes along the artery in one second, we need to use the formula Q = A * v, where Q is the flow rate, A is the cross-sectional area of the artery, and v is the speed of blood flow. The cross-sectional area of the artery is given by A = pi * r^2, where r is the radius of the artery.

Thus, substituting the given values, we get:

A = pi * (5mm)^2 = 78.54 mm^2

v = 0.2 + 0.1 sin(2pit/0.8) (using the given information)

Q = A * v = 78.54 * (0.2 + 0.1 sin(2pit/0.8))

To find the volume of blood that passes along the artery in one second, we need to evaluate Q at t = 1 second, so we get:

Q = 78.54 * (0.2 + 0.1 sin(2pi1/0.8)) = 31.39 mm^3/s

Therefore, the volume of blood that passes along the artery in one second is approximately 31.39 cubic millimeters.

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The trigonometric function, Y = -4·cos 5·x - 10 is undefined at Y = 0, but the function arranged as Y = -4·cos(5·x - 10) has an x-intercept at x = π/10 + 2

A trigonometric function indicates the relationship between angles and the lengths of sides of angles.

The specified function can be presented as follows;

Y = -4·co(5·x) - 10

There are two unknown variables

The number of equations is one

The function, at Y = 0, can be evaluated as follows;

Y = 0 = -4·co(5·x) - 10

cos(5·x) = 10/(-4) = -2.5

5·x = arccos(-2.5) = Undefined

However, when the function is; Y = -4·cos((5·x) - 10), we get;

At Y = 0

0 = -4·cos((5·x) - 10)

cos((5·x) - 10) = 0/(-4) = 0

5·x - 10 = arccos(0) = π/2

Therefore;

x = (π/2 + 10)/5 = π/10 + 2

(-π/2 + 10)/5

An x-intercept is at x = π/10 + 2

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The determinant of matrix "d" would still be 4,

the same as the determinant of matrix "a".

To obtain the matrix "d" from matrix "a" by adding 7 times the third row to the second row, you would perform the following operation:

d = a + 7 × (third row of a added to the second row)

Let's denote the third row of matrix "a" as r3, and the second row as r2. The operation can be written as:

d = a + 7 × r3 + r2

Please note that adding rows of a matrix means adding corresponding elements of the rows.

The determinant of a matrix is not affected by row operations that involve adding multiples of one row to another row.

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

The probability he can hit at least 9 of 10 shots anyway is 0.0463 or 4.63%

Divide the total number of outcomes by the entire number of different ways an event could happen to arrive at the probability. There are differences between probability and odds. Odds are determined by dividing the probability of a situation happening by the probability that it won't happen. Probability is a metric used to determine how likely an event is to occur. The likelihood that the coin will land with the heads side up is measured using the probability concept when we toss it in the air. Here is an example of how probability is used in everyday life that you probably already know about. Prior to a major outing, we always consult the weather prediction.

Given\(=60\)%\(=0.60\)

n\(=10\)

Definition binomial probability:

\(P(X=k)=(n^{k} )*(P^{k} )*(1-P)^{n-k}\)

Evaluate for \(k=9\) and \(k=10\)

P\((X=9)=0.0403\)

P\((X=10)=0.0060\)

Add the corresponding probabilities:

P\((x\geq 9)=P(X=9)+P(X=10)=0.0403+0.0060=0.0463=4.63\)%

Command Ti83/84 command: binompdf(10,0.60,9)+binompdf(10,0.60,10)

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The "r" in the inequality "r/4 ≤ -2" can take on any value less than or equal to -8 in order for the Inequality to be true.

The inequality "r/4 ≤ -2" is a mathematical statement that relates the variable "r" to the number -2. It means that the quotient of r divided by 4 is less than or equal to -2. the value of r that satisfies this inequality, you can isolate the variable by multiplying both sides of the inequality by 4. This is allowed because the inequality sign does not change direction when you multiply or divide both sides by a positive number.

So, we have:

r/4 ≤ -2

Multiplying both sides by 4 gives:

r ≤ -8

This means that any value of r that is less than or equal to -8 satisfies the inequality. In other words, the set of solutions for the inequality is all values of r that are less than or equal to -8. This set can be written in interval notation as (-∞, -8], which means "all values of r less than or equal to -8, including -8".

Therefore, "r" in the inequality "r/4 ≤ -2" can take on any value less than or equal to -8 in order for the inequality to be true.

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Answer:

144 ounces.

Step-by-step explanation:

Since 1 pound=16 ounces, we will multiply 9 times 16.

9x16=144

Therefore, the answer is 144 ounces.

Answer:

the answer to the question is = -9/35

Using the formula, the confidence interval is: [(4)(1.3^2) / χ^2_(0.05,4), (4)(1.3^2) / χ^2_(0.95,4)]

To form a confidence interval for the variance σ^2, we can use the chi-square distribution. The formula for the confidence interval is:

[(n-1)s^2 / χ^2_(α/2,n-1), (n-1)s^2 / χ^2_(1-α/2,n-1)]

Where:

n is the sample size

s^2 is the sample variance

χ^2_(α/2,n-1) is the chi-square value for the upper α/2 percentile

χ^2_(1-α/2,n-1) is the chi-square value for the lower 1-α/2 percentile

We are given four different sets of values for x, s, and n. Let's calculate the confidence intervals for each case:

a. x = 16, s = 2.6, n = 60:

Using the formula, the confidence interval is:

[(59)(2.6^2) / χ^2_(0.05,59), (59)(2.6^2) / χ^2_(0.95,59)]

b. x = 1.4, s = 0.04, n = 17:

Using the formula, the confidence interval is:

[(16)(0.04^2) / χ^2_(0.05,16), (16)(0.04^2) / χ^2_(0.95,16)]

c. x = 160, s = 30.7, n = 23:

Using the formula, the confidence interval is:

[(22)(30.7^2) / χ^2_(0.05,22), (22)(30.7^2) / χ^2_(0.95,22)]

d. x = 8.5, s = 1.3, n = 5:

Using the formula, the confidence interval is:

[(4)(1.3^2) / χ^2_(0.05,4), (4)(1.3^2) / χ^2_(0.95,4)]

To obtain the actual confidence intervals, we need to look up the chi-square values for the given significance level α and degrees of freedom (n-1) in a chi-square distribution table.

Once we have the chi-square values, we can plug them into the confidence interval formula to calculate the lower and upper bounds of the confidence interval for each case.

Note: Since the question provides specific values for x, s, and n, the calculations for the confidence intervals cannot be completed without the corresponding chi-square values for the given significance level.

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Answer:

4.625 gallons

Step-by-step explanation:

1. 11 pints plus 13 quarts is 18.5 quarts

2. 18.5 quarts is equal to 4.625 gallons

The number of gallons of ice cream he sold was equal to 4.625 gallons.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Therefore suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

We need to find the number of gallons of ice cream he sold.

A dealer sold 13 quarts containers and 11 pint containers of ice cream in one day.

1. 11 pints plus 13 quarts is 18.5 quarts.

2. 18.5 quarts is equal to 4.625 gallons.

Hence, The number of gallons of ice cream he sold was equal to 4.625 gallons.

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The expected return for Umbrella Company is .40.

Expected Return for Umbrella Company is calculated by the following formula;`ER = p1r1 + p2r2`

Where `ER` is the expected return, `p` is the probability and `r` is the return for each state.

Therefore, the expected return for Umbrella Company can be calculated as follows:

\($$ER = (.60 \times .20) + (.40 \times .70)$$$$

ER = .12 + .28$$$$

ER = .40$$\)

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The correct answer is option  c. bell-shaped. The normal distribution is a type of continuous probability distribution that is symmetrical and bell-shaped, often referred to as the "bell curve".

In honour of German mathematician Carl Friedrich Gauss, it is often referred to as the Gaussian distribution. A single peak at the centre and a progressive drop in density as one proceeds away from the centre define this distribution.

The normal distribution is a significant probability distribution because it may be used to describe a wide range of natural occurrences, including measurements of people's heights and weights, test scores, and other phenomena.

The likelihood of specific outcomes is also described using it in statistics. In hypothesis testing, the normal distribution is frequently utilised since it is thought that the data will follow a normal distribution.

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m > 650 miles

A mileage over 650 miles makes company A cheaper than B.

1) Gathering the data

Company A

$127 (unlimited mileage)

Company B

$75 + 0.08m

2) To find out the mileage that makes Company A cheaper than Company B, we can write out the following:

3) Hence when we drive over 650 miles the Company A becomes cheaper than B.

no, because 14 divided by 2 is 7 and 20 divided by 3 is not equal to 7 you need 1 more book in the second box to make it proportional

Answer:yes it is

Step-by-step explanation:

Um because I said so

The scale Denise used is as follows:

3 centimetres: 2 metres

Denise measured a community college and made a scale drawing. In real life, at the college is 122 meters long. it is 183 centimetres long in the drawing.

The scale of Denise use can be calculated as follows:

Using the proportional relationship,

3 / x = 183 / 122

cross multiply

122(3) = 183x

366 = 183x

divide both sides by 183

x = 366 / 183

x  = 2 metres.

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The equation will be 15+x=60 as the definition of equation says, "A mathematical statement known as an equation is made up of two expressions joined together by the equal sign(=)".

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. In mathematics, an equation is an expression or a statement that consists of two algebraic expressions that have the same value and are separated from one another by the equal symbol. It is an otherwise stated statement that has been mathematically quantified. Expressions that add up to one another make up an equation. A formula is an equation with two or more variables that shows how the variables relate to one another. A line with the equation y=mx+b, where m denotes the slope and b the y-intercept, is an example of a linear equation.

Here,

Suppose you want to buy something for $60, and you have $15 saved up so far. Then your grandmother calls and says she will chip in for your purchase. She doesn’t tell you the amount of money she will give you yet, so you just consider it x dollars.

The sum of your saving and grandmother's amount  is $60.

15+x=60

According to the definition of equation, "A mathematical statement known as an equation is composed of two expressions joined together by the equal sign (=)," the equation will be 15+x=60.

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