Carmen sells cars at a dealership that pays her a monthly salary of $2500 plus a
commission of $125 for every car she sells. A competing dealership has offered her a
job that pays a greater monthly salary of $2700, but only gives $100 commission on
each car sold. How many cars would Carmen have to sell in a month to get the same
pay from either dealership?

Answer:

Sixty-three hundredths.

Step-by-step explanation:

Answer:

1) sixty-three hundredths

2) nine hundredths

HOPE IT HELPED {:)

Answer:

x^2-6x+7

Step-by-step explanation:

You can use synthetic division since you are dividing by a linear factor with leading coefficient 1.  (You can also do synthetic division when dividing by a linear factor whose leading coefficient is not 1 but it is a bit trickier.)

So since we are dividing by x-2, 2 goes on the outside.

(If we were dividing by x+2, -2 would go on the outside.)

Now the thing that goes on top inside is the dividend, the numerator which is 1x^3-8x^2+19x-14. If you were missing any terms you would have to place a zero but we aren't. All exponents between 3 and 0 (inclusive meaning to include the 3 and the constant term) on variable x is accounted for.  

2|  1   -8    19     -14

 |       2    -12      14

  -----------------------------

     1  -6     7       0

So the remainder is 0 and the quotient is x^2-6x+7.

Answer:

[tex]-\frac{85}{2}[/tex]

Step-by-step explanation:

[tex]|\frac{1}{4} |+|\frac{9}{4}| -|45|[/tex]

Simplify the expression.

[tex]\frac{1}{4} +\frac{9}{4} = \frac{5}{2}[/tex]

[tex]\frac{5}{2}-45=-\frac{85}{2}[/tex]

Answer:

2 + 3 √5

Step-by-step explanation:

√(1/4) = 1/2

√(9/4) = 3/2

√(45)= √(9×5)= 3 √5

√(1/4)+√(9/4)+√(45) 1/2 +3/2 + 3 √5 = 2 + 3 √5

Answer:

The Identity Property

Step-by-step explanation:

Identity Property means the number's Identity stays the same; usually either itself times 1, or plus zero

6 + 0 = 6 is an example of the Identity Property

Answer: Hello there! Just a helping hand here, its an additive identity property. Hope this helps! -Skyler

Step-by-step explanation:

The additive identity property states that the sum of any number and zero is the original number.

Answer:

The balance at the end of the month was $7,056.83

Step-by-step explanation:

we know that

The balance at the end of the month is equal to the balance at the beginning of the month plus deposits and interest minus checks and maintenance fee

so

9,145.87+(2,783.71+11.15)-(4,871.90+12)

9,145.87+(2,794.86)-(4,883.90)=$7,056.83

Answer:

The balance was $ 7,056.83

Step-by-step explanation:

Given,

The original balance in beginning of the month = $9145.87,

The amount of deposit =  $2783.71,

So, new balance after depositing = $9145.87 + $2783.71 = $ 11929.58,

Check amount = $4871.90,

After clearing check, the new balance = $ 11929.58 - $ 4871.90 = $ 7057.68,

Also, after charging $ 12 fees, new balance = $ 7057.68 - $ 12 = $ 7045.68,

Finally getting $ 11.15 interest,

The final balance at the end of month  = $ 7045.68 + $ 11 = $ 7,056.83

Answer:

answer what?

Step-by-step explanation:

Nearest 1000: 920,000

Nearest 100: 919,800

Nearest 10: 919,830

Answer:

nearest 1000- 10,000

nearest 100- 800

nearest 10- 30

If events X and Y are independent, then following results are true:

" Independent events are defined as the events which are not depend on any other events."

Condition used for independent events

[tex]P(X\cap Y) = P(X) \times P(Y)[/tex]

According to the question,

Given event X and Y are independent,

[tex]P(X/Y) = \frac{P(X\cap Y)}{P(Y)}[/tex]

Substitute the value of [tex]P(X\cap Y)[/tex] we get,

[tex]P(X/Y) = \frac{P(X) \times P(Y)}{P(Y)}[/tex]

             [tex]= P(X)[/tex]

Similarly for independent events X and Y we have,

[tex]P(Y/X) = \frac{P(X\cap Y)}{P(X)}[/tex]

Substitute the value of [tex]P(X\cap Y)[/tex] we get,

[tex]P(Y/X) = \frac{P(X) \times P(Y)}{P(X)}[/tex]

             [tex]= P(Y)[/tex]

Hence, if events X and Y are independent, then following results are true:

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Answer:

Step-by-step explanation:

9x²+7x=0

x(9x+7) =0

x=0  or 9x+7 =0

x=0 or x = -7/9

Hey!

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

[tex]\boxed{ \bf n~/~3~=~8}[/tex]

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

Solution:

Number = n

Quotient of a number and three: n / 3

Is eight: = 8

End Result: n / 3 = 8

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

Hope This Helped! Good Luck!

Answer:

I believe the answer is 36.

Answer:

w = 14 - (L/2)

Final answer:

The width, W, of the rectangular football field is expressed as W = (1/2)L + 14, which signifies that the width is half of the field's length plus an additional 14 meters.

Explanation:

If L represents the length of the football field, the expression for the width, W, is W =  rac{1}{2}L + 14. This is because the width is given as 14 meters more than half of the field's length. So, to write this relationship as an expression, we start by taking half of the length, denoted as  [tex]rac{1}{2}L[/tex], and then add 14 meters to this value to account for the additional width.

Answer:

about 800000 ticket available for all the Knicks’ home games

Step-by-step explanation:

given data

tickets for Knicks home game = 19763  ≈ 20000

no of games = 41 ≈ 40

to find out

how many tickets are available for all the Knicks’ home games

solution

we know here ticket available for a New York Knicks home game and games are approx 40

so

total ticket available = tickets for Knicks home × no of games   ........1

total ticket available =20000× 40

total ticket available = approx 800000

so about 800000 ticket available for all the Knicks’ home games

Answer:

125°

Step-by-step explanation:

Supplementary angles sum to 180°

let one angle be x then the larger angle is x + 70, thus

x + x + 7 0 = 180

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55

Hence

larger angle = x + 70 = 55 + 70 = 125°

Answer:

7) 10^4

B) 50

Step-by-step explanation:

7) 10,000=10x10x10x10

turned into an exponent= 10^4

B). the 5 is in the tens place so it's value is

50

Victor swims 4500 ft during his winter break.

It is given that,

Explanation:

Laps in one week is 30. So, laps in two weeks is:

[tex]2\times 30=60[/tex]

1 lap is equal to 25 yards. So, 60 laps is equal to:

[tex]60\times 250=1500[/tex] yards

We know that,

1 yard = 3 ft

So, 1500 yards is:

[tex]1500\times 3=4500[/tex] ft

Thus, Victor swims 4500 ft during his winter break.

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Answer:

Should be 4:00 pm

Step-by-step explanation:

[tex]\huge\boxed{108}[/tex]

The [tex]^{-2}[/tex] only affects the [tex](-6)[/tex]. Let's solve that exponent first.

[tex]3(-6)^{-2}[/tex]

[tex]3(-6*-6)[/tex]

Multiply.

[tex]3*36[/tex]

Multiply one last time.

[tex]\boxed{108}[/tex]

Answer:

108

Step-by-step explanation:

Do the parentheses first with the exponent of 2 on the outside.

Multiply -6 times -6, which gets you 36.

After, multiply 36 by 3. Which gets you 108!

Final: 108

The travel time for a plane traveling at a rate of r kilometers per hour for 900 kilometers can be calculated using the formula: Time = Distance / Speed. So, the travel time for the plane would be 900 / r hours.

The travel time for a plane traveling at a rate of r kilometers per hour for 900 kilometers can be calculated using the formula:

Time = Distance / Speed

Since the distance is given as 900 kilometers and the rate is given as r kilometers per hour, the travel time can be written as:

Time = 900 / r

So, the travel time for the plane would be 900 / r hours.

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Answer:462000 milligrams

Step-by-step explanation: you times it by 1000

Answer:

8

Step-by-step explanation:

10 - 2 can also be written as:

 10

 - 2

------

    8

Answer: (1) Distributive (2) Commutative (3) Associative

              (4) Commutative  (5) Addition Property of Equality

Step-by-step explanation:

1) Distributive

(x + 4) was multiplied by 3 and (2x - y) was multiplied by 5

2) Commutative

10x and -5y switched places

3) Associative

The parenthesis changed partners

4) Commutative

(12y - 5y) and 10x switched places

5) Addition Property

Like terms were added together --> 3x + 10x = 13x and 12y - 5y = 7y

Answer:14

Step-by-step explanation:

Answer:

6 x 10/3= 6000

Step-by-step explanation:

take ur first digit,6,and either multiply it by 10/3 =1000 or place to its right as many zeroes as the exponent of ten (3)

The student is working with scientific notation, specifically converting 6 x [tex]10^{-3}[/tex] into standard notation, which results in the number 0.006.

The student in question appears to be dealing with scientific notation and its application in representing large or small numbers in a condensed form. In scientific notation, numbers are represented as a product of a base number and 10 raised to a certain power. For instance, 6 x 10/3 is a way to represent the number 0.006, indicating the decimal point has been moved three places to the left.

To convert 6x10/3 into standard notation, you need to recognize that the exponent -3 on the 10 denotes how many places to move the decimal. Since it is negative, we move the decimal to the left. Therefore, we rewrite 6 as 0.006, which is the standard notation.

Answer: YOUR ANSWER WOULD BE B

Step-by-step explanation: Your answer would be B because when you reflect something on the y-axis it always goes one cube or dashed line forward so it will not have the same radius nor the circle hope this helps you alot

Answer:

Step-by-step explanation:

Lia's claim is not correct, because when we reflect a figure, its coordinates variate. In this case, Lisa is trying to reflect a circle over the y-axis, which will change y-axis coordinates. The center of the circle is gonna change its y-axis coordinate, for example, if the center is [tex]C(2;3)[/tex], its reflection will be [tex]C(2;-3)[/tex]

Therefore, the center of the circle will not remain the same. However, the radius will be the same, because changing y-axis coordinates don't affect the distance between the center and the circumference of the circle.

So, the correct answer is option C.

Answer:

The product will be LESS than 12.

Step-by-step explanation:

When multiplying a number by something smaller than 1, the product will always be smaller than your first number. A simple way to remember this is that a decimal is the same as a fraction in almost every way. For example, 1/2 and .5 are the same number.

When a number is multiplied by a decimal less than 1, the product will always be less than the original number. Hence, if Jesse multiplies 12 by 0.23, the result will be less than 12.

To determine whether the product of multiplying 12 by 0.23 will be more or less than 12, we can use some basic estimation and mathematical reasoning without performing the actual calculation. Here's a step-by-step explanation:

Step 1: Understand the decimal value of 0.23.

  - 0.23 is less than 1, which means it is a fraction of 1. In decimal form, it's less than 0.5 but greater than 0.2.

Step 2: Understand the concept of multiplication with fractions less than 1.

  - When you multiply a number by a fraction less than 1, the result is smaller than the original number. The closer the fraction is to 0, the smaller the result.

Step 3: Apply this understanding to the problem.

  - Since 0.23 is less than 1 and closer to 0, when you multiply 12 by 0.23, the result will be smaller than 12.

Step 4: Answer the question.

  - Therefore, the product of multiplying 12 by 0.23 will be less than 12.

So, without calculating the actual product, we can confidently say that the result will be less than 12 because we are multiplying 12 by a fraction (0.23) that is less than 1.

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Each 6 in the number 763 465 284 132 holds an individual place value. The first is worth 6 (one's place), the second is worth 6,000 (thousand's place), and the third is worth 600,000,000 (hundred million's place).

In the number 763 465 284 132, each 6 holds a unique positional value as per the place value system, which is a fundamental concept in Mathematics. The first 6, counting from the right, is in the one's place, so it just represents the number 6. The second 6 is in the thousands place, so it represents 6,000. The third 6 is in the hundred million's place, so it represents 600,000,000.

The number could also be read as: Seven hundred sixty-three billion, four hundred sixty-five million, two hundred eighty-four thousand, one hundred thirty-two.

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The value of [tex]1^{102[/tex] is 1 because 1 multiply by itself results to 1.

A number's exponent indicates how many times the number has been multiplied by itself.

: Since 2 is multiplied by itself 4 times, 2x 2 x 2x 2 can be expressed as [tex]2^4[/tex]. Here, 4 is referred to as the "exponent" or "power," while 2 is referred to as the "base."

Given:

[tex]1^{102[/tex] = ?

Now, if we have

1² = 1 x 1 = 1

1³ = 1 x 1x 1 = 1

.

.

.

[tex]1^{50[/tex]= 1 x 1 x 1 x 1 x 1 x ................(50 times) = 1

and, [tex]1^{102[/tex] = 1 x 1 x 1 x 1 x 1 x ................(102 times) = 1

Hence, the value of [tex]1^{102[/tex] is 1 because 1 multiply by itself results to 1.

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Final answer:

The value of 1 raised to any power, including 1 exponent 102, is 1. When you multiply 1 by itself any number of times, the result is always 1 because the identity property of multiplication states that any number multiplied by 1 remains unchanged.

Explanation:

The value of 1 exponent 102, or $1^{102}$, is 1. In fact, the value of any power of 1 is always 1. To understand this, let's think of the exponent as how many instances of a number are multiplied together. When you multiply 1 by itself any number of times, the result remains 1 because multiplying by 1 does not change the value of the original number. Thus, 1 to any power, whether it's 1 or 102, will still give us 1.

Using these principles, let's address another problem without entering scientific notation into your calculator. To evaluate $(4.506 \times 10^4) \times (1.003 \times 10^2)$, we can multiply the coefficients (4.506 \times 1.003) and then add the exponents of 10 (4 + 2), since when powers of 10 are multiplied together, the exponents are added. The result is approximately 4.514518 \times 10^6.