Which example does NOT show the commutative property of addition?
a. 4 + x = x + 4
b. ab=ba
c. a + b = b + a
d. 3x + 4y = 4y +3x

About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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To calculate the percent of change, we can use the following formula:

Percent of change = (final value - initial value) / initial value x 100%

In this case, the initial value is $15 and the final value is $100. Plugging these values into the formula, we get:

Percent of change = ($100 - $15) / $15 x 100% = 567%

So the percent of change in Ron's savings account balance is 567%. This means that Ron's balance increased by 567% from its initial value of $15 to its final value of $100.

Answer: 18.18%

Step-by-step explanation:

First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:

\($$SA = 2lw + 2lh + 2wh$$\)

where \(\(l\)\) is the length, \(\(l\)\) is the width, and \(\(h\)\) is the height. For the original piece of wood, \(\(l = 10\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\).

After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, \(\(l = 5\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\). The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.

The percent increase in the total surface area is given by the formula:

\($$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$\)

Let's calculate these values.

The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.

Answer:

Step-by-step explanation:

point-slope form is y-y1=m(x-x1)

so the point-slope equation is

Answer:

y= 2x -6

Step-by-step explanation:

The slope-intercept form of a line is given by y= mx +c, where m is the slope and c is the y-intercept.

To find the equation of a line, two information are needed:

Given that the slope is 2, m= 2. Substitute m= 2 into y= mx +c:

y= 2x +c

Let's find the coordinate in which the line intersects the line 2x -3y= 6. Point of intersection refers to the point at which two lines cuts through each other i.e., the point lies on the graph 2x -3y= 6 and the line of interest.

2x -3y= 6

When x= 3,

2(3) -3y= 6

6- 3y= 6

3y= 6 -6

3y= 0

Divide both sides by 3:

y= 0

Coordinate that lies on the graph is (3, 0).

Substitute the point into the equation and solve for c:

y= 2x +c

When x= 3, y= 0,

0= 2(3) +c

0= 6 +c

c= -6

Substitute the value of c back into the equation:

Thus, the equation of the line in slope-intercept form is y= 2x -6.

Additional:

For a similar question on slope-intercept form, do check out the following!

Using the lowest common factor of the shuttles' run times, they will depart again for the campus simultaneously at 10.25 A.M.

We can use the lowest common factor (LCM) of their run time to determine when they depart again for the campus.

The lowest common factor of 30 and 20 is 60 because both 30 and 20 can divide 60 evenly without a remainder, showing that it takes 60 minutes for the two shuttles to depart for the campus at the same time.

We can conclude that every 60 minutes or hour, the two shuttles simultaneously depart for the campus.  Every hour, the shuttle departing from Ball Hall completes 2 runs, while the shuttle departing from Lot A completes 3 runs.

Thus, using the lowest common factor, the next time both shuttles will depart for the campus at the same time is 10:25 A.M.

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The balance at the end of the month was $7046.93.

To determine the balance at the end of the month, we need to:

Data

Starting balance = $9145.87

Deposits = $2783.71

Interest earned = $11.15

Checks written = $4871.90

Maintenance fee = $12

Balance at the end of the month will be:

= Starting balance + Deposits + Interest earned - Checks written - Maintenance fee

= $9145.87 + $2783.71 + $11.15 - $4871.90 - $12

= $7046.93.

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Answer:

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

I just did a whole essay about thin in Geometry and I got an A.

Hope this helps! （づ￣3￣）づ╭❤～

Answer:

85 square inches.

Step-by-step explanation:

The area of a triangle can be found by the formula \(1/2bh\), assuming b is the base and h is the height.

If b is 17 inches and h is 10 inches:

\(1/2(17)(10)\)

\(1/2(170)\)

\(A = 85\)

Therefore, the area is 85 square inches.

Answer:

664.94

Step-by-step explanation:

Give me brainlyest please

Answer:

664.94 is the answer to this question. I hope this helps.

Answer:

2x−y=5

Step-by-step explanation:

Mass of football = 0.435kg

Mass of football helmet = 2.57kg

To find how much more the mass of the helmet is than the mass of football, we have to find the difference

2.57kg - 0.435kg

Answer:

D. 81

Step-by-step explanation:

I am in the same class as you, I took the quiz and the answer was 81

Answer:

See proof below

Step-by-step explanation:

Given the expression 2/4-x = 10/4+x

Cross multiply

10(4-x) = 2(4+x)

10(4) - 10x = 2(4)+ 2x

40 - 10x = 8 + 2x

-10x - 2x = 8 - 40

-12x = -32

Multiply both sides by -1

-1(-12x) = -1(-32)

12x = 32

This shows the required expression

(a) If p = 3, then the corresponding value of x is 8.8317

(b) If each canister sells for 3 dollars, the number of canisters demanded are 883

The monthly demand equation for Penn State Bakery Mini Cookie Canisters is given by \(p = \sqrt{81 - x^{2} }\)  where x represents the number of hundreds of canisters and p is the price, in dollars, of a single canister.

(a) if p = 3, then the value of x is :

\(p = {81 - x^{2} }\\3 ={81 - x^{2} }\x\\x^{2} = 78\\x = 8.8317\)

(b) If each canister sells for 3 dollars then , the number of canisters demanded = 100 × 8.8317

If each canister sells for 3 dollars then , the number of canisters demanded are 883

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Answer:

Step-by-step explanation:

The paths crossed at when the height are equal i.e when f(x) = g(x)

Given

f(x)=−x^2+2x+4

g(x) = 2x

IF f(x) = g(x), then;

−x^2+2x+4 = 2x

−x^2+2x+4 - 2x = 0

−x^2+4 = 0

-x^2 = -4

x^2 = 4

x = ±√4

x = 2 and -2

Time cannot be negative

Hence x = 2

The path crossed after 2 seconds

Answer:

i think thAt it is c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

1. it is a linear equation 98 plus something is going to equal 180 so you would put subtract 98 from 180 to get 82

2. since the other angle is inscribed you would double you answer to get 164

solve  -6x2-3x+12 dived by 3x-3 using pemdas

Step-by-step explanation:

The question is how to divide this this is how to solve it

Answer:

x = 9

Step-by-step explanation:

To solve the equation 2x - 7 + 3x = 4x + 2 for x, you can follow these steps:

Combine like terms on both sides of the equation. Add the x terms together and move the constant terms to one side of the equation:

2x + 3x - 4x = 2 + 7

Simplifying the left side: x = 9

Simplify the right side of the equation:

x = 9

Therefore, the solution to the equation is x = 9.

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

\(\frac{-4}{3}\)

Step-by-step explanation:

a rational number is expressed as

\(\frac{a}{b}\) where a and b are integers , then

- 1 \(\frac{1}{3}\) = \(\frac{-4}{3}\)

Answer:

y = 4

Step-by-step explanation:

Given

3x + 7y = 37 ← substitute x = 3 into the equation

3(3) + 7y = 37, that is

9 + 7y = 37 ( subtract 9 from both sides )

7y = 28 ( divide both sides by 7 )

y = 4

Step-by-step explanation:

Answer:

Vertex is (-3,2)

Step-by-step explanation:

The vertex is either the absolute minimum or maximum of a function, depending on how the function opens.

In this case, since this absolute value function opens upward, the vertex is the absolute minimum of the function, which is found at (-3,2).

Therefore, the vertex of the absolute value graph is (-3,2).

Answer:12

Step-by-step explanation: -7 is in a modulus so it becomes positive and you get 5+7=12

You should research modulus throughly because you'll meet them everywhere especially at complex numbers.

Good luck

Answer:

C

Step-by-step explanation:

Absolute value is always positive because it is the distance from 0. Distance is always positive, so you can cross out D and A.

The distance from -7 to 0 is 7. The distance from 5 to 0 is 5.

7 + 5 = 12, so the answer is C.

Hope this helps :)

Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.  The total interest earned after one year is $229

How much was in each account?

Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:

\(x + y = 5800\)

The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:

\(0.03x + 0.08y = 229\)

We now have two equations with two unknowns:

\(x + y = 5800\)

\(0.03x + 0.08y = 229\)

We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.

Solve the first equation for x:

\(x = 5800 - y\)

Substitute this expression for x into the second equation and solve for y:

\(0.03(5800 - y) + 0.08y = 229\)

\(174 - 0.03y + 0.08y = 229\)

\(0.05y = 55\)

\(y = 1100\)

Now substitute this value of y into either equation to solve for x:

\(x + 1100 = 5800\)

\(x = 4700\)

Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.

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Answer:

92 degrees

Step-by-step explanation:

Supplementary means that the angles add up to 180 degrees.

180 - 88 = 92