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Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9.

So, if we are dealing with 965000000000000, then the answer would be:

9.65 x 10^14

If the salesperson receives a 2% commision on the sale price (which I am assuming) first you want to calculate the sale price.

Total price - 15% * total price

so

275 - (.15*275)

233.75 is the sale price.  

Then take two percent of that

233.75 * .02 = $4.675

They make $4.68 (If rounded to the nearest cent.)

To find the commission received by the sales person, calculate the discounted price of the stereo system and then multiply it by the commission rate.

To find the commission received by the sales person, we first need to calculate the total cost of the stereo system after the discount. The discount is 15% of $275, which is calculated as:

$275 × 0.15 = $41.25

So the discounted price of the stereo system is $275 - $41.25 = $233.75.

Now, we can calculate the commission received by the sales person. The commission is 2% of the total cost, which is:

$233.75 × 0.02 = $4.675

The sales person will receive a commission of $4.675.

Final answer:

The 72 feet high pole has a shadow that is 24 feet long, as determined by using proportional relationships between the heights and shadows of two similar triangular shapes formed by the poles and their shadows.

Explanation:

Given the first pole that is 24 feet high has a shadow that is 8 feet long, we can determine the ratio of the height to the shadow length. Since similar triangles have proportional sides, we can apply the same ratio to the second pole that is 72 feet high to find the length of its shadow.

Setting up the proportion, we have:

24 feet (height of first pole) / 8 feet (shadow of first pole) = 72 feet (height of second pole) / x (shadow of second pole).

To solve for x, we cross multiply to get

24 * x = 72 * 8.

Dividing both sides by 24, we get x = 24 feet.

Hence, the shadow of the 72 feet high pole is 24 feet long.

Simplifying

x + -3(2x + -7) = 76

Reorder the terms:

x + -3(-7 + 2x) = 76

x + (-7 * -3 + 2x * -3) = 76

x + (21 + -6x) = 76

Reorder the terms:

21 + x + -6x = 76

Combine like terms: x + -6x = -5x

21 + -5x = 76

Solving

21 + -5x = 76

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.

21 + -21 + -5x = 76 + -21

Combine like terms: 21 + -21 = 0

0 + -5x = 76 + -21

-5x = 76 + -21

Combine like terms: 76 + -21 = 55

-5x = 55

Divide each side by '-5'.

x = -11

Simplifying

x = -11

The solution of expression is, x = - 11

We have to give that,

An expression to simplify,

x - 3 (2x - 7) = 76

Now, Simplify the expression as,

x - 3 (2x - 7) = 76

x - 6x + 21 = 76

- 5x = 76 - 21

- 5x = 55

x = - 55/5

x = - 11

Therefore, Solution is, x = - 11

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[tex]-3x^2+2y^2+5xy-2y+5x^2-3y^2[/tex]

Combine like terms:

[tex]2x^2-y^2+5xy-2y\\2x^2-y^2-2y+5xy[/tex]

There are 4 terms, 2 terms are negative.

well, 112 divided by 7 is 16 :)

you dont need to split it because 112 can already be divided by 7, youre answer sould be 16. I hope this helps!!!

The equation of the line parallel to y=3x-2 and containing the point (2,11) is y=3x+5.

The equation of a line that is parallel to y=3x-2 will have the same slope as this line. Since the slope of the given line is 3, the parallel line will also have a slope of 3. The equation of a line can be represented in the form y=mx+b, where m is the slope and b is the y-intercept. We can find the equation of the parallel line by substituting the given point (2,11) into the equation.

Start with the equation y=3x+b and substitute x=2 and y=11.

11=3(2)+b

Now solve for b.

11=6+b
b=11-6
b=5

The equation of the parallel line is therefore y=3x+5.

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Step 1. Split the second term in 2x^2 - x - 21 into two terms

2x^2 + 6x - 7x - 21

Step 2. Factor out the common terms in the first two terms, then in the last two terms.

2x(x + 3) -7(x + 3)

Step 3. Factor out the common term x + 3

(x + 3)(2x - 7)

since you know Lainey has 20 markers and the total cost is $6, all you have to do is solve 20/6 to find the cost of each marker. So, the answer would be about $2.33 dollars, since 20/6 would equal $2.333333333... and I just rounded it up. Hope I helped you! Good luck (:

Answer:

c

Step-by-step explanation:

Answer:

A. [tex]\frac{1}{4}n=5[/tex]

The solution is: n=20

Step-by-step explanation:

1. You have the following information given in the problem above:

- The hitter batted [tex]\frac{1}{4}[/tex] of the runs the team scored.

- The hitter batted in 5 runs.

2. If [tex]n[/tex] is the number of run the team scored, then [tex]\frac{1}{4}[/tex] of [tex]n[/tex] must be equal to five runs batted by the hitter. Therefore, the equation is:

[tex]\frac{1}{4}n=5[/tex]

3. Solve for [tex]n[/tex], as following:

[tex]\frac{1}{4}n=5\\n=(5)(4)\\n=20[/tex]

D) -(-a) = a because -(-a) is the same thing as positive a

Answer:

40

Step-by-step explanation:

Got it on edge

Final answer:

To solve the system of equations using elimination, we need to eliminate one variable at a time by adding or subtracting the equations. The solution to the system of equations is x = 1, y = 2, z = 3.

Explanation:

To solve the system of equations using elimination, we need to eliminate one variable at a time by adding or subtracting the equations. Here are the steps:

Therefore, the solution to the system of equations is x = 1, y = 2, z = 3.

To solve the given system of equations by elimination, eliminate one variable at a time. Solve the new set of equations simultaneously to find the values of the remaining variables.

To solve the given system of equations by elimination, we'll eliminate one variable at a time. First, let's eliminate the variable 'z' by adding the second equation to the third equation. This gives us a new third equation:

2x - 3y + z = 4

+ 3x + 4y - z = -2

------------------

5x + y = 2

Now, let's eliminate the variable 'y' by multiplying the second equation by -6 and adding it to the first equation. This gives us a new first equation:

X - 6y + 2z = 5

- 6(2x - 3y + z) = -6(4)

------------------------

-11x - 11z = -19

Finally, we can solve these two new equations simultaneously to find the values of 'x' and 'z'. Once we have 'x' and 'z', we can substitute these values back into any of the original equations to find the value of 'y'.

120

bc its grater than four in this case forty

point slope form  (y-y1) = m(x-x1)

y-5=(2/3)(x-(-3))

y-5=(2/3)(x+3)                    add 5 to each side and distribute

y= 2/3x +2/3 *3 +5

y = (2/3)x +2 +5  

y = (2/3) + 7                        

495/220 can be simplified to 9/4 by dividing the numerator and denominator by 55

the answer to what is 495/220 in simplest form is 9/4

Answer:

Step-by-step explanation:

Simplifying

16 = -12 + -7x

Solving

16 = -12 + -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.

16 + 7x = -12 + -7x + 7x

Combine like terms: -7x + 7x = 0

16 + 7x = -12 + 0

16 + 7x = -12

Add '-16' to each side of the equation.

16 + -16 + 7x = -12 + -16

Combine like terms: 16 + -16 = 0

0 + 7x = -12 + -16

7x = -12 + -16

Combine like terms: -12 + -16 = -28

7x = -28

Divide each side by '7'.

x = -4

Simplifying

x = -4

Answer:

2/3

Step-by-step explanation:

8/10 is 0.800, and 1/3 is 0.333333333337, so without going over 1 but saying below 0.800 would be 2/3 or 0.66666666667

1/3= 0.333

8/10=0.8

so 2 1/3 can go into 8/10

A manufacturing company has the following fixed monthly costs and unit variable costs:

Rent = $2,200

Utilities = $375

Variable costs for materials and assembly = $13.25/unit

Monthly labor = $750

Given is the product is sold at $24.99 per unit

Let the number of units sold be x

Adding total cost = [tex]2200+375+750=3325[/tex]

Equation becomes:

[tex]3325+13.25x=24.99x[/tex]

[tex]11.74x=3325[/tex]

x= 283.21

So, rounding it to nearest whole number we get, 283 units.

Therefore, 6396/15 = 426.5

Final answer:

Each student will receive 2 slices of pizza, as there are a total of 32 slices from 4 pizzas divided among 16 students.

Explanation:

To determine the number of pizza slices each student receives, we need to calculate the total number of slices available and then divide this by the number of students. Given that there are 4 pizzas and each pizza is cut into 8 slices, we have:

Multiply the number of pizzas by the number of slices per pizza: 4 pizzas × 8 slices/pizza = 32 slices.

Divide the total number of slices by the number of students: 32 slices ÷ 16 students = 2 slices/student.

Therefore, the function that represents the number of pizza slices each student receives is 2 slices per student.

I believe the answer is b

Answer:

i think its B but im not 100%

Step-by-step explanation:

5.6 * 10^ 15 / 6.4 * 10^2

5.6 /6.4   10^ (15-2)

.875 * 10^13  this is not proper scientific notation  there must be 1 number before the decimal

8.75 * 10^12

C

Answer:

Step-by-step explanation:

THE ANSWER IS C. I DID IT