please help me with this​

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

5

Step-by-step explanation:

Number is n

Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

Answer:

Inequality Form:

− 47 /4 < x< − 6

Interval Notation:

( − 47/ 4 , − 6 )

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

72°

Step-by-step explanation:

Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π

The length of arc ABC = \(\frac{\theta}{360}*2\pi r\)

Where θ is the central angle in degrees.

Since the length of arc ABC is 16π,

\(16\pi=\frac{\theta}{360}*2\pi r\\16\pi=\frac{\theta}{360}*2\pi *10\\\theta=\frac{16\pi *360}{2 \pi *10} \\\theta=288^0\)

The angle in a circle = 360°, therefore:

Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°

Therefore the arc measure of arc AB is 72°

Answer:

it is 74

......................

Step-by-step explanation:

The chance that a randomly chosen passenger will wait longer than 3.25 minutes is 0.35, or 35%.

Probability is a way to gauge how likely something is to happen. It is a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty for the event.

Since the waiting times are uniformly distributed between 0 and 5 minutes, the probability density function (PDF) is:

f(x) = 1/5

for 0 ≤ x ≤ 5

f(x) = 0, otherwise

To find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes, we need to find the area under the PDF to the right of 3.25:

P(X > 3.25) = ∫\(3.25^5\) f(x) dx

= ∫\(3.25^5\) (1/5) dx

= [x/5]\(3.25^5\)

= (5 - 3.25) / 5

= 0.35

As a result, the chance that a randomly chosen passenger will wait longer than 3.25 minutes is 0.35, or 35%.

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Answer:

The total weight of the letters was 31.5 oz.

Step-by-step explanation:

9 x 3.5 =

Answer:

120-40÷4×6 = 60

Step-by-step explanation:

First solve the division.

120-40÷4×6

120-10×6

Then the multiplication.

120-10×6

120-60

Then the subtraction.

120-60

60

The simplified form of the given expression is 118.33.

The given expression is 120-40÷4×6.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

Using PEDMAS rule we get

120-40÷4×6

= 120-40÷24

= 120-1.67

= 118.33

Hence, the simplified form of the given expression is 118.33.

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The area of the rectangle is 1296 square feet.

Let's denote the width of the rectangle as "w" and its length as "4w" since the length is four times the width.

The formula for the perimeter of a rectangle is given by:

P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Given that the perimeter of the rectangle is 180 ft, we can write the equation as:

180 = 2(4w + w)

Simplifying the equation:

180 = 2(5w)

180 = 10w

w = 18

So, the width of the rectangle is 18 ft.

Now, we can find the length of the rectangle:

Length = 4w = 4(18) = 72 ft

The area of a rectangle is given by the formula:

\(A = l \times w,\)

where A is the area,

l is the length,

and w is the width.

Substituting the values we found:

Area \(= 72 ft \times 18 ft = 1296 ft^2\)

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Answer:

work pictured and shown

Answer:

Last one

Step-by-step explanation:

● [ ( 3^2 × 5^0) / 4 ]^2

5^0 is 1 since any number that has a null power is equal to 1.

●[ (3^2 ×1 ) / 4 ]^2

● (9/4)^2

● 81 / 16

Answer:

It is 4

Step-by-step explanation:

So basically, let's look at the given. In the problem, Leon is charged a fee of 75. The interest rate would be 12.5 % if he doesn't pay his due amount. So in order to get the total amount that he has to pay if he doesn't pay on time, you just need to multiply 75 with 12.5% or simply 0.125. If you do this, you will get 9.375. After that, you add 9.375 to the principal amount which is 75 and you will get 84.375. So Leon has to now pay a total of 84.375.

I hope this HELP! :)

Answer: 0.655

Step-by-step explanation:

Let X be a random variable that represents percent of fat calories that a person in America consumes each day.

As per given , X is normally distributed with a mean \(\mu=36\) and a standard deviation \(\sigma=10\).

Sample size : n= 16

The probability that the average percent of fat calories consumed is more than 35:

\(P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}]\)

Hence, Required probability =0.655

Answer: B is the answer

Step-by-step explanation:

I think it’s D or A

Step-by-step explanation: D or A

The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

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Answer:

the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394

Step-by-step explanation:

  Given the data in the question;

                Underweight   Healthy Weight    Overweight (not Obese)    Obese

Probability       0.017              0.377                        0.343                          0.263

so

P( underweight) = 0.017

P( Healthy Weight) = 0.377

P( Overweight (not Obese) ) = 0.343

P( Obese ) = 0.263

now, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range will be;

P( weigh less than overweight(but not obese) =  P( underweight) + P( Healthy Weight)

P( weigh less than overweight(but not obese) = 0.017 +  0.377

P( weigh less than overweight(but not obese) = 0.394

Therefore, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394

Answer:

- 1

Step-by-step explanation:

Step 1:

- ( 4 - 3 )

Step 2:

- 4 + 3

Answer:

- 1

Hope This Helps :)

Answer:

Step-by-step explanation:

a. x is negative: x < 0

b. y is nonnegative: y ≥ 0

c. q is less than or equal to π: q ≤ π

Answer:

a.

2. x < 0

b.

2. y ≥ 0

c.

5. q ≤ π

Step-by-step explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.

b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.

c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.

Complete question:

The amount of garbage, G produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is measured in thousands of people. The town of Tola has a population of 45,000 and produces 6 tons of garbage each week. Express this information in terms of the function f

Answer:

The information of town Tola can be represented in function as 6 = f(45)

Step-by-step explanation:

Given;

population of Tola, p = 45,000

amount of garbage produced in tons per week, G = 6 tons = 6,000 kg

The function is given by;

G = f(p)

where;

G is the amount of garbage produced in tons per week

p is the population of Tola

Substitute in the given values into the function

6000 = f(45,000)

6 = f(45)

Therefore, the information of town Tola can be represented in function as 6 = f(45)

The expression 163.28 + 75.459 is a sum expression, and the result of 163.28 + 75.459 is 238.739

The expression is given as:

163.28 + 75.459

The expression is best solved using a calculator.

However, in the absence of a calculator, the following steps can be applied.

Expand each term

163.28 + 75.459 = 163 + 0.28 + 75 + 0.459

Reorder the terms

163.28 + 75.459 = 163 + 75+ 0.28  + 0.459

Add the decimals and integers

163.28 + 75.459 = 238.739

Hence, the result of 163.28 + 75.459 is 238.739

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The sum of the functions is option B. (f + g)(x) = 2x³ + 3x² - 5x - 3.

A function is defined as a relation from a set to another set  such that the elements in the first set maps to one and only one element in the second set.

Or in other words, no elements in the first set has more than one image in the second set.

Given the two functions,

f(x) = 2x³ + 3x² - 7x + 2 and g(x) = 2x - 5.

We have to find (f + g) (x).

Sum of the functions is,

(f + g)(x) = f(x) + g(x)

             = (2x³ + 3x² - 7x + 2) + (2x - 5)

             = 2x³ + 3x² - 7x + 2x + 2 - 5

             = 2x³ + 3x² - 5x - 3

Hence the sum of the given function is 2x³ + 3x² - 5x - 3.

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Answer:

22

Step-by-step explanation:

=x(x+22)

Answer:

The answer is 22

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

2/5

Step-by-step explanation:

0.4

= 4/10 → divided by 2

= 2/5

Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

Based on the given statistics, the weekly median income for a female with an advanced degree would be $901.

The yearly median income for a male with an associate degree would be $36,432.

The yearly median income for a female with an associate degree would be $27,744.

An advanced degree would be a postgraduate degree like a masters so the weekly median income would be $901.

This can be found as:

= Weekly median income x 4 weeks in month x 12 months in year

= 759 x 4 x 12

= $36,432

= Weekly median income x 4 weeks in month x 12 months in year

= 578 x 4 x 12

= $27,744

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Answer:

Answer above is wrong

Step-by-step explanation:

Can't tell you how to get the answers but these are correct after i failed from the person above.

3. 1,323

4. 49,452.00

5. 37,284.00

When shape P is enlarged by the scale factor and the centre, the new coordinates would be (2, 6), (6, 6), (0, 8), and (4, 8).

The current coordinates are:

( 1 , 3 ) ( 3, 3 ) ( 0, 4 ) and ( 2, 4 )

The new coordinates, with an expansion of 2 would be:

Point 1:

New coordinates: (1 x 2, 3 x 2) = (2, 6)

Point 2:

New coordinates: (3 x 2, 3 x 2) = ( 6, 6 )

Point 3:

New coordinates: ( 0 x 2, 4 x 2) = ( 0, 8 )

Point 4:

New coordinates: (2 x 2, 4 x 2) = ( 4, 8 )

The enlarged figure would have coordinates at  (2, 6), (6, 6), (0, 8), and (4, 8).

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Answer:

in order to spend all of the $120 the electrician must buy 1 of each type of lamps.

blah blah blah blah blah