8x +32
Factor the gcf

Answer:

i'm pretty sure its 2.5 hours

Step-by-step explanation:

Answer:  4, 24

Step-by-step explanation:

Set smaller number as x, and y be the larger number.

Through the questions, we can get the equation:

                                 y = 5x + 4

(5x + 4) + 6 = 3(x + 6)         [5x+4 is the first resulting number according to the                      question.]

5x + 10 = 3x + 18                [Minus 2 from both side]

2x + 10 = 18                        [Minus 10 from both side]

2x = 8                                 [Divide 2 from both side]

x = 4

Plug in x = 4 to the equation, y = 5x + 4

y = 5x + 4

  = 5(4) + 4

  = 24

The value of x and y are 4 and 24 respectively.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

here, it is given that :

One number is 4 more than 5 times another number.

Let smaller number be = x

and, larger number be = y

Then according to the question : y = 5x + 4

(5x + 4) + 6 = 3(x + 6)  

Opening bracket and multiply 3 :

5x + 4 + 6 = 3x + 18

arranging like terms :

5x - 3x = 18 - 10          

2x= 8

Divide both side by 2 :

x = 8/2

x = 4

Now, substitute x = 4 to the equation, y = 5x + 4

y = 5x + 4

 = 5(4) + 4

 = 24

Therefore, the value of x and y are 4 and 24 respectively.

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Answer:

$1.27

$9030.56

$2,210.34

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/n)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years  

1. 1( 1 + 0.24 /12)^12 = $1.27

2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56

the formula for calculating future value when there is continuous compounding is : A x e^r x N

A= amount e = 2.7182818 N = number of years r = interest rate

3. 1000 x e^0.1 x 2 = $2,210.34

The chocolate bar has a length of 10.5ft and width of 5.7ft

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

In the question, we were given the l is equal to 0.9 less than 2 times the width of the rectangle.

let;

A = l * w

l = 2w - 0.9

A = l * w

59.85 = w * (2w - 0.9)

59.85 = 2w² - 0.9w

2w² - 0.9w - 59.85 = 0

Solving for w

w = 5.7ft

The width of the bar is 5.7ft

The length will be (2 * 5.7) - 0.9

L = 10.5ft

The length and width of the bar is 10.5ft and 5.7ft respectively

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Answer:

28

Step-by-step explanation:

Answer:

its 25 yall !

Step-by-step explanation:

Answer:

just a guess I would say 70cm squared.

Answer:

The value of n = -10  

Step-by-step explanation:

Given the points

Finding the slope between (3, n) and (4,0)

\(\left(x_1,\:y_1\right)=\left(3,\:n\right),\:\left(x_2,\:y_2\right)=\left(4,\:0\right)\)

As slope = 10

using the formula

Slope  =  [y₂ - y₁] /  [x₂ - x₁]

so substituting the values

      10   =  [0 - n] / [4 - 3]

      10   = -n / 1

     10 = -n

     n = -10    

Therefore, the value of n = -10  

Answer: It helps because you already know it off the top of your head and you are able to break up a multiplication problem step by step in your head.

Step-by-step explanation:

The simplified form of the radical is expressed as 6xz²∛4

Given the radical function below expressed as:

2(108x²z⁴)^1/3

Expand to have:

2(108x^2/3z^4/3)

Simplify to have:

2(∛108x^2/3z^4/3) = 6(x)

2(3)(∛4)*x^2/3 * z^4/3

6∛4 * x^2/3 * z^4/3

6xz²∛4

Hence the simplified form of the radical is expressed as 6xz²∛4

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Answer:

c.) 20%

Step-by-step explanation:

•1/3 chnace of picking Strawberry flavor

•2/3 chance of picking a milkshake or cone serving

(1/3)*(2/3)=2/9=0.222...(approx.)=0.20=20%

Edit for more clarification:

If you have a situation where multiple outcomes are favorable ("or" statements) then you add the odds together. The customer here wouldn't have minded a milkshake or a cone, so we add their odds together to get 2/3.

If you have a situation where a specific combination of outcomes is favorable ("and" statements) then we multiply the odds. The customer would be getting a flavor and a type of serving, so we multiply the odds of each combination together.

(Note that this is technically a simplified version of the general formulas/equations for probabilities so if you go look them up on the internet they might include some other ideas.)

Answer:C

Step-by-step explanation:

quiz says it was right

Answer:

-2

Step-by-step explanation:

Hope it helps

If the radius of the ball is 1 meter. Then the diameter of the ball will be 2 meters.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The volume of a water walking ball (in cubic meters) is given below.

\(\rightarrow\dfrac{4}{3}\pi\)

Then the diameter of the sphere will be

We know the volume of the sphere is given as

\(V = \dfrac{4}{3}\pi r^3\)

where r is the radius of the ball.

Then the radius of the ball will be

\(\rm \dfrac{4}{3}\pi = \dfrac{4}{3}\pi r^3\\\\r^3 \ = 1\\\\r \ \ = 1\ m\)

Then the diameter of the ball will be

d = 2r

d = 2 × 1

d = 2 m

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The true statements about the functions are:

The function is given as:

f(x) = 25000 * 0.96^x

Set x = 0 to determine the initial value of the function

f(0) = 25000 * 0.96^0

Evaluate

f(0) = 25000

This means that the population of the city in 2010 is 25000 i.e. option (B) is correct

Also, we have:

f(x) = 25000 * 0.96^x

The rate at which the population decreases every year is calculated as:

r = 1 - 0.96

Evaluate the difference

r = 0.04

Express as percentage

r = 4%

This means that the rate at which the population decreases every year is 4% i.e. option (C) is correct

The population after 5 and 10 years are:

f(5) = 25000 * 0.96^5

f(5) = 20384

f(10) = 25000 * 0.96^10

f(10) = 16621

Divide these populations by the initial population in 2010

20384/25000 = 82%

16621/25000 = 66%

This means that the population decreased by 82% and 66% in 5 years and 10 years since 2010, respectively.

So, options (d) and (e) are false

Lastly, because the population function is an exponential decay function;

The function value would approach 0 as it decreases

This means that option (f) is correct

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Using its concept, it is found that the probability that the lawyer will flip to a page number that is not a multiple of 4 is given by:

p=19/25

Probability is a field of mathematics that deals with the numerical description of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the impossibility of the event and 1 indicating certainty.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 50 numbers, of which 50 - (48/4) = 38 are not multiples of 4, hence the probability is given by:

p=38/50 = 19/25

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Answer:

0

Step-by-step explanation:

Chalice with purified water = 4

With spoiled milk = 5

With flat soda = 6

Probability of Jones drinking from a chalice with purified water after Donovan had drank from 3 = 1/3

Probability = required outcome / Total possible outcomes

Total possible outcomes = (4 + 5 + 6) = 15

After Donovan drinks 3 :

Total possible outcomes = (15 - 3) = 12

If the probability of Jones choosing a chalice with purified water is 1/3 then :

(Required outcome / Total possible outcomes) =1 /3

(Required outcome / 12) = 1 / 3

Required outcome * 3 = 12

Required outcome = 12 / 3

Required outcome = 4

Therefore, since initial number of chalice with purified water is 4,

4 - 4 = 0

Then Donovan did not drink from a chalice containing purified water.

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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Answer:

The answer is D - cannot be determined

Step-by-step explanation:

Answer:

B. 14.0

Step-by-step explanation:

just took the test

The probability that 2 or more people will fail the test out of a group of 12 is approximately 0.259, or 25.9%.

To calculate the probability that 2 or more people will fail the test out of a group of 12, we need to find the complement of the probability that fewer than 2 people will fail.

The probability of failing the test for an individual is given as 0.115. Therefore, the probability of passing the test for an individual is 1 - 0.115 = 0.885.

Now, let's calculate the probability of fewer than 2 people failing the test.

Probability of 0 people failing:

P(0 failures) = C(12, 0) * (0.115^0) * (0.885^12) = 0.885^12 ≈ 0.357

Probability of 1 person failing:

P(1 failure) = C(12, 1) * (0.115^1) * (0.885^11) = 12 * 0.115 * 0.885^11 ≈ 0.384

To find the probability of 2 or more people failing, we can subtract the probabilities of 0 and 1 person failing from 1.

P(2 or more failures) = 1 - P(0 failures) - P(1 failure)

                    = 1 - 0.357 - 0.384

                    ≈ 0.259

Therefore, the probability that 2 or more people will fail the test out of a group of 12 is approximately 0.259, or 25.9%.

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The equation of the line in slope-intercept form is y = (1/2)x + (-5/2) .

The equation of a line in slope-intercept form can be written as follows,

y = mx + c                                                       equation 1

m in the above equation represents slope of the line and c represents the intercept.

The given equation is 2x - 4y = 10 .

To get the equation of the line in slope-intercept form we need to convert the given equation in the format of equation of a straight line i.e., equation1. So, now we will rearrange the given equation as

   2x - 4y = 10

⇒ 4y = 2x -10

Now on dividing this equation by 4 on both sides, we will get

y = (1/2)x + (-5/2)                                               equation 2

On equating equation 1  and equation 2, we will get

Slope of the line = m = 1/2.

Intercept = c = -5/2

The equation of the line in slope-intercept form is y = (1/2)x + (-5/2) .      

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Each segment length in right triangle ABC include the following:

Segment BD = 9 units.

Segment AB = 9√2 units.

Based on Pythagorean theorem, the length of sides of a right-angled triangle are always in the ratio 1 : 1 : √2, which can be rewritten as follows;

x : x: x√2.

Where:

x represent the length of sides (one leg) of a right-angled triangle.

From this 45-45-90 triangle, we can determine the length of one leg of the triangle as follows:

x = BD = AD

BD = 9 units.

By using Pythagorean's theorem, the length of segment AB can be determined as follows;

AB² = BD² + AD²

AB² = 9² + 9²

AB² = 81 + 81

AB = √162

AB = 9√2 units.

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Answer:

23%

Step-by-step explanation:

We can create two equations:

\[m = \frac{1}{5}(A - s)\]\[s  = \frac{1}{20}(A - m)\]

Substituting we get:

\[m = \frac{1}{5}(A - \frac{1}{20}(A - m))\]which yields:

\[m = \frac{19}{99}A\]

Now we can find s and we get:

\[s = \frac{4}{99}A\]

Since we want to find what fraction of $A$ did Roger pay for his movie ticket and soda, we add $m$ and $s$ to get:

\[\frac{19}{99}A + \frac{4}{99}A \implies \boxed{\text{(D)}\ 23\%}\]

The statement provides constraints on the values of a negative number p and a positive number s, where 0 < s < |p|.

Inequality is a mathematical expression that describes a relationship between two values that are not equal. It is represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to). Inequality can be used to compare numbers, variables, expressions, and equations, and it plays a fundamental role in algebra, calculus, and other branches of mathematics

The given statement can be written as:

p < 0 and 0 < s < |p|

Here, p is a negative number, which means it is less than zero. The second part of the statement shows that s is greater than zero (since it is given that 0 < s), and it is also less than the absolute value of p, denoted as |p|, which means that s is between 0 and |p|.

Overall, the statement is providing certain constraints on the values of p and s, which can be useful in solving a mathematical problem or proving a theorem.

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The total cost of the book, including tax, is given by the expression 1.08x. In the given expression, x represents the price of the book before tax. To calculate the total cost of the book, we need to add the tax to the original price.

The expression 1.08x represents the price of the book after adding a tax of 8% (or 0.08). Multiplying the original price (x) by 1.08 accounts for the addition of the tax.

For example, if the price of the book before tax is $10, then the total cost would be 1.08 * $10 = $10.80. The additional $0.80 represents the 8% tax added to the original price.

By using the expression 1.08x, we can easily calculate the total cost of the book for any given price before tax. This expression allows us to account for the tax and obtain the final price that includes both the original price and the additional tax amount.

Therefore, the expression 1.08x provides a convenient way to calculate the total cost of the book, considering the tax component.

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Answer:

12 pounds

Step-by-step explanation:

Colombian Coffee sells for $9.25 per pound. Brazilian Coffee sells for $7.75 per pound.

The management wishes to mix 6 pounds of Colombian Coffee with an amount of Brazilian Coffee so that the mixture sells for $8.25 per pound.

Hence:

Let the number of pounds of Brazilian coffee be represented by = a

$9.25× 6 + $7.75 × a= $8.25 (a + 6)

55.5 + 7.75a = 8.25a + 49.5

Collect like terms

8.25a - 7.75a = 55.5 - 49.5

0.5a = 6

a = 6/0.5

a = 12 pounds

Therefore, 12 pounds of Brazilian Coffee should be mixed with 6 pounds of Columbian nuts

Answer:

It is 9

Step-by-step explanation:

Answer:

ur answer is 4

Step-by-step explanation:

Given:

A circle with center Z and the points W, X, Y are on the circumference of the circle.

To find:

The measure of angle WXY.

Solution:

From the given figure, we get

\(Arc(XY)=156^\circ\)

\(Arc(WX)=86^\circ\)

The measure of arc of the complete circle is 360 degrees.

\(Arc(WX)+Arc(XY)+Arc(WY)=360^\circ\)

\(86^\circ+156^\circ+Arc(WY)=360^\circ\)

\(Arc(WY)=360^\circ-86^\circ-156^\circ\)

\(Arc(WY)=118^\circ\)

The measure of arc WY is 118 degrees. It means the central angle on this arc is also 118 degrees.

\(m\angle WZY=118^\circ\)

According to the central angle theorem, the inscribed angle on an arc is always half of its central angle.

\(m\angle WXY=\dfrac{m\angle WZY}{2}\)

\(m\angle WXY=\dfrac{118^\circ}{2}\)

\(m\angle WXY=59^\circ\)

Therefore, the correct option is A.

The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.

The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).

Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.

In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.

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