Which choice shows 40 + 30+ 10 rewritten correctly using the commutative property and then simplified correctly?

Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P

Answer:

a.) 3/8n

b.) 3n+25

c.)4n-9

d.)1/2n-8

e.)2n-5

f.)50-3n

g.)2n+7

h.)2/5n +9

Step-by-step explanation:

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

The diagram illustrating the scenario is shown below

a) The inner box represents the initial size of the court that they made. x represents the extra distance that they could have added on either sides so that the area would be 4536 square feet. Recall, the area of a rectangle is length x width

Thus,

the new length = 60 + x + x = 60 + 2x

the new width = 30 + x + x = 30 + 2x

area = 4536

thus, the equation is

(60 + 2x)(30 + 2x) = 4536

b) We would expand the brackets. it becomes

60 * 30 + 60 * 2x + 2x * 30 + 2x * 2x = 4536

1800 + 120x + 60x + 4x^2 = 4536

4x^2 + 120x + 60x + 1800 = 4536

4x^2 + 180x + 1800 = 4536

Dividing both sides of the equation by 4, we have

x^2 + 45x + 450 = 1134

x^2 + 45x + 450 - 1134 = 0

x^2 + 45x - 684 = 0

We would solve the quadratic equation by factorising. We would find two terms such that their sum or difference is 45x and their product is - 684x^2. The terms are 57x and - 12x. thus, we have

x^2 + 57x - 12x - 684 = 0

By factorising, we have

x(x + 57) - 12(x + 57) = 0

(x - 12)(x + 57) = 0

x - 12 = 0 or x + 57 = 0

x = 12 or x = - 57

The value of x cannot be negative. Thus, x = 12

Therefore

The length and width of the court can be expanded by

12 * 2 = 24 feet

new length = 60 + 24 = 84 ft

new width = 30 + 24 = 54 ft

Checking, 84 x 54 = 4536 square feet

Answer:

210?

Step-by-step explanation:

Sorry if it's wrong

Answer:

-27.558

Step by Step:

I subtracted it

Answer:

**NEED USEFUL ANSWER ASAP, H.W QUESTION**

Given that hotter blackbodies produce more energy than cooler blackbodies, why do cooler red giants have much higher luminosities than much hotter white dwarfs?

Step-by-step explanation:

Mathematical induction is a method used to prove statements for all positive integers.

To prove the formula 1 + 2 + 3 + ... + (n-1) + n = n(n+1)/2 using induction,

we first show it holds for the base case n = 1.

When n = 1, the formula becomes 1 = 1(1+1)/2, which is true.

Then, we assume the formula holds for some integer k, and prove it holds for k+1.

Inductive step: Assume that the formula holds for some integer k, i.e., 1 + 2 + ... + (k-1) + k = k(k+1)/2. We need to prove that the formula also holds for k+1.

So, 1 + 2 + ... + (k-1) + k + (k+1) = k(k+1)/2 + (k+1) = (k+1)(k+2)/2, which shows that the formula holds for k+1 as well.

By repeating this process, we conclude the formula holds for all positive integers.

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Answer:

The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.

Answer:

Yes. 0.6 is a rational number.

Answer:

Below

Step-by-step explanation:

By the triangle side length rule  the third side must be lessthan the sum of the other two sides, soooooo....

11 < AC < 23

Answer: correct me if I’m wrong

Step-by-step explanation:

Answer:

180 degrees

Step-by-step explanation:

180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.

Step-by-step explanation:

\(6 {m}^{2} \times ( \frac{ {10}^{4} {cm}^{2} }{1 \: {m}^{2} } ) = 6 \times {10}^{4} \: {cm}^{2} \)

Answer:

Katrina got 86 in her test

Step-by-step explanation:

given

mean = 80

standard deviation = 3

z-score = 2

Let score of Katrina = x

Recall z-score is calculated by

z-score = (x-mean) / standard deviation

substitute values and solve for x

2 = (x-80)/3

x-80=6

x = 86

Answer:

c.) in the correct answer

The equation of the line is y = x + 6

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

The graph

On the graph, we have the following highlights

The graph intersect the y-axis at y = 6

This means that the intercept c is 6

Also, as x changes by 1, the y values changes by 1

This mean sthat the slope is 1

So, we have

y = mx + c

This gives

y = x + 6

Hence, the equation is y = x + 6

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The linear equation on the graph can be written as:

y = (3/2)*x + 6

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁), then the slope will be:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we can see the points (0, 6)  (so the y-intercept is b = 6)  and (4, 10)

Then the slope will be:

a = (10 - 6)/(4 - 0) = 6/4 = 3/2

Then the linaer equation is:

y = (3/2)*x + 6

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The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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Answer: 30 cents

Step-by-step explanation:

1/20 of a dollar is 5 cents

Then we multiply by the numerator (6) to get our answer....

5x6= 30

Hoped this helps! :)

Answer:

1. 15.9

2. 12

3. 7.29

4. 20.8

5. 11.0

Step-by-step explanation:

We can use the Pythagorean Theorem to solve for x (a squared minus b squared equals c squared)

Example number 1 is solved by  17 squared - 6 squared equals 253

You do square root and get 15.90

Number 4 is you have to divide 24 by 2 because it is one of the sides

So it is 24 squared minus 12 squared

You find square root and get 20.80

Step-by-step explanation:

To find the volume of a cylinder, you can use the formula:

Volume = π * r^2 * h

Where:

- π is a mathematical constant approximately equal to 3.14159

- r is the radius of the cylinder's base

- h is the height of the cylinder

Let's calculate the volume of the cylinder with the given information:

1. Volume of the first cylinder:

- Radius (r): Let's assume a value of 1 (you can replace this with the actual radius value)

- Height (h): Let's assume a value of 1 (you can replace this with the actual height value)

Volume = π * r^2 * h

= π * 1^2 * 1

= π cubic units

2. Volume of the second cylinder (double the height):

- Radius (r): Same as the first cylinder (1)

- Height (h): Double the height of the first cylinder (2 times the height)

Volume = π * r^2 * h

= π * 1^2 * (2 * 1)

= π * 1^2 * 2

= 2π cubic units

So, the volume of the first cylinder is π cubic units, and the volume of the second cylinder (with double the height) is 2π cubic units.

Answer:

she spent 73 and has 3 left

Step-by-step explanation:

Answer:

58 members of the House of Representatives, and 28 members of the senate.

Step-by-step explanation:

We can find the answer to this by simply subtracting:

86 - 58 = 28

So, there are 58 members of the House of Representatives, and 28 members of the senate.

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the graph of Andrew's distance from home will look like this: Time (x-axis)  0  1  2  3  4  5  6  7  8  9  10 Distance (y-axis)  0  5  10 10 15 20 20 24 28 32  0

Graph is a data structure which is used to represent relationships between objects or data points. It is composed of nodes and edges, where nodes are the objects and edges are the connections between the objects. Graphs are used to represent mathematical equations, networks, and data structures such as trees. They are also used to represent relationships between data points in large datasets. Graphs can be used to represent both directed and undirected relationships, and are commonly used in many fields including computer science, engineering, mathematics, and data science.

From the given information, we can create a graph that shows Andrew's distance from home as he drives to the store, to the bank, and back again. The x-axis will represent time (in minutes), and the y-axis will represent the number of blocks away from home.

At time zero, Andrew is at his home, so the graph will begin with a point at (0, 0). As he travels to the store, the graph will move up 5 blocks for every minute he drives. Therefore, after 2 minutes, he will be 10 blocks away from home, so the graph will be at (2, 10). After he stops at the store for 2 minutes, he will still be 10 blocks away from home, so the graph will stay at (2, 10).

When he leaves the store and drives to the bank, he will move 5 blocks each minute. After 5 minutes, he will be 25 blocks away from home, so the graph will be at (5, 25). After he stops at the bank for 3 minutes, he will still be 25 blocks away from home, so the graph will remain at (5, 25).

Finally, when he drives home, he will move 4 blocks for each minute he drives. After 5 more minutes, he will be back at his home, so the graph will be at (10, 0).

Therefore, the graph of Andrew's distance from home will look like this:

Time (x-axis)  0  1  2  3  4  5  6  7  8  9  10

Distance (y-axis)  0  5  10 10 15 20 20 24 28 32  0

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Answer:

divide the numerator by the denomantor

Step-by-step explanation:

A fraction in which the numerator is smaller than the denominator, like 1/3 or 2/5 is called a proper fraction. A fraction in which the numerator is larger than or equal to the denominator, like 5/2, 17/3, or 6/6 is called an improper fraction. (To put it another way, a fraction with a value less than 1 is a proper fraction. A fraction with a value greater than or equal to 1 is an improper fraction.)

As we have shown above, mixed numbers can be written as improper fractions. Similarly, improper fractions can be written as mixed numbers.

Step-by-step explanation:

2. C = \( 2 \pi r \)

a. to find radius from diameter in order to calculate the value of the circumference we have to divide the diameter by 2

d/2 = 8/2 = 4

Next, Find the circumference

C = \( 2 \pi r \)

C = \( 2 \cdot 3.142 \cdot 4 \)

C = 25.13

b. Rearrange formula for circumference to find the value of the radius

Where, C = \( 2 \pi r \)

Make r the subject of formula

C/\( 2 \pi \) = \( 2 \pi r \) /\( 2 \pi \)

94.2/2 × 3.142 = r

94.2/6.3 = r

r = 14.95 ≈ 15

2.circumference= pi×diameter

a)25.136 inches

b)14.99 cm

Step-by-step explanation:

a) pi × 8

3.142× 8= 25.136

b) diameter = radius × 2

circumference = pi × diameter OR pi × radius×2

because we are trying to find the radius we will use the pi × 2 radius.

94.2= 3.142 × 2 radius

94.2 ÷ 3.142= 2 radius

29.981 = 2 radius

29.981 ÷ 2 = radius

14.99 = radius

Answer:

3

Step-by-step explanation:

3/10 = .3

Answer:

Yes, \(\frac{3}{4}\) is a solution of the inequality.

Step-by-step explanation:

Solution of an inequality is given by the values of the variable t ≥ \(\frac{2}{3}\)

Or t ≥ 0.67

If a solution of this inequality is t = \(\frac{3}{4}\)

Or t = 0.75

Since, on a number line 0.75 > 0.67

Therefore, \(\frac{3}{4}\) will be a solution of the inequality.

Answer:

50%

Step-by-step explanation:

Even numbers on a 6-sided die are 2, 4, and 6.

3 numbers out of 6 are even.

3/6 = 1/2

0.5 = 50%