Franco ears weekly salary of $350 plus 3% commission on the sale of cars. One week he sold $95,400 in sales. How much was franco's total paycheck for the week?a) 350b) $28,620c) $2,862d) $3,212

Answer: 2n - 6

Step-by-step explanation:

n - (6-n)

n - 6 + n

2n - 6.

2n - 6 is more simplified than n - (6-n) but if they want you to write it just as the words say, than go with n - (6-n)

Answer:

C. 75

Step-by-step explanation:

Factorize the numbers first

5=5×1

25=5×5

15=5×3

LCM of 5,25,15 will be 5×5×3=25×3=75

Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

\("20cm"\)

\(Area\ of\ rq=a^2\)

\(a=\sqrt{200}=10\bullet \sqrt{2}\)

\(d\ iargul=\sqrt{2}9\)

             \(=10\times \sqrt{2}\times \sqrt{2}\)

             \(=20cm\)

I hope this helps you

:)

By using multiplication principle we find the choices available for greg as 1296 different choices.

To find the total number of different choices available, we need to multiply the number of options in each section together, since each choice is independent of the others.

So, the number of different choices available for Greg is:

6 (cakes) x 4 (pies) x 3 (ice creams) x 3 (nuts) x 6 (chips) = 1,296

The method used to find the total number of different choices available is called the multiplication principle, which is a fundamental principle of combinatorics. The multiplication principle states that if there are k ways to do one thing, and m ways to do another thing, then there are k x m ways to do both things together.

In this problem, we applied the multiplication principle to find the total number of different choices available to Greg by multiplying the number of options in each category (cakes, pies, ice creams, nuts, and chips) together. This gives us the total number of possible combinations of choices that Greg can make.

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Answer: 48

Step-by-step explanation: 60-12=48

Answer:

6.24 x \(10^{-7}\)

Step-by-step explanation:

0.000000624 in scientific notation is 6.24 x \(10^{-7}\)

Answer:

Step-by-step explanation:

The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.

Since we have the polynomial:

1. The coefficients of the terms are 4, 3, -9 & 7.

2. There are 4 terms, and those are 4x^3, 3x^2, 9x & 7, and their degrees are 3, 2, 1, and 0 respectively.

3.The degree of the polynomial is 3.

4.The leading coefficient of the polynomial is 4.

5.The constant term of the polynomial is 7.

Answer:

B

Step-by-step explanation:

Answer:

The amount of acid in the solution will be: 55.4 millimeters

Step-by-step explanation:

The total amount of solution of acid and water = 342 milimeters

The percentage of acid included in the solution = 16.2%

The amount of acid in the solution:

\(16.2\%\:\times 342\)

\(=\frac{16.2}{100}\times \:342\)

\(=\frac{162}{1000}\times \:342\)

\(=0.162\times \:342\)

\(=55.4\) millimeters

Thus, the amount of acid in the solution will be: 55.4 millimeters

Answer:

3

Step-by-step explanation:

21 is 7 times the number three. You can get this answer by dividing 21 by 7 (answer is 3). You can check your work by multiplying 7 x 3 (you would get 21)

The solution tells that Jada spent 1/9 hours on each picture frame. The solution has been obtained by using linear equations.

What is a linear equation?

The degree of the linear equation is 1. It is clear that in linear equations with exponents greater than one, there are no variables. The equation for this graph results in a straight line.

We are given that Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and then paints 27 picture frames.

So, let the number of hours spent on each frame be 'x'

From this, we get an equation as

27x + 3 = 6

On solving the equation, we get

⇒27x = 3

⇒x = 1/9

Hence, this tells that Jada spent 1/9 hours on each picture frame.

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Answer:

≥

Step-by-step explanation:

The double bar around -5 is absolute value. It means any number will turn positive

|-5| ? 0

5 ? 0

5 ≥ 0

Answer:

21.888

Step-by-step explanation:

32*1.2*1.9*0.3= 21.888

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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There are 4 cubes of size 1/4 foot would fill the inside of the prism.

We have to given that;

Height of cuboid = 3 feet

Length of cuboid = 3/4 feet

Width of cuboid = 1/2 feet

We know that;

Volume of cuboid = Length x width x height

Hence,

V = 3/4 x 3 x 1/2

V = 9/8

Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,

= (9/8) ÷ (1/4)

= (9/8) x 4

= 9/2

= 4.5

Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.

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Answer:

There is a 1/250 chance that his ticket will be chosen

There is a 249/250 chance that his ticket will not be chosen

Step-by-step explanation:

Hope that helps!

Answer:

Billy would need to mow 4 laws to make over $25.

when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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Answer:

In my sketch the angle between their flights is 135°

So wouldn't we just have the cosine law??

x^2 = 120^2 + 150^2 - 2(120)(150)cos135°

carry on, take care with the cos135, since it will be negative

The probability is P = 0.135

First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.

The joint probability is given by the product between the individual probabilities, so we get:

P = (1/2)*(3/6)*(28/52) = 0.135

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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:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Answer:

-2<=y<=-7

Step-by-step explanation:

======================================================

Explanation:

x and y are the two numbers

The product of those values is 1856, so xy = 1856

The sum is 90, so x+y = 90. Solve for y to get y = 90-x

Plug this into the first equation

xy = 1856

x(90-x) = 1856

90x-x^2 = 1856

0 = x^2-90x+1856

x^2-90x+1856 = 0

Now use the quadratic formula

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-90)\pm\sqrt{(-90)^2-4(1)(1856)}}{2(1)}\\\\x = \frac{90\pm\sqrt{676}}{2}\\\\x = \frac{90\pm26}{2}\\\\x = \frac{90+26}{2} \ \text{ or } \ x = \frac{90-26}{2}\\\\x = \frac{116}{2} \ \text{ or } \ x = \frac{64}{2}\\\\x = 58 \ \text{ or } \ x = 32\\\\\)

If x = 58, then,

y = 90-x

y = 90-58

y = 32

So one pair of values is (x,y) = (58,32)

We see that x*y = 58*32 = 1856

If x = 32, then,

y = 90-x

y = 90-32

y = 58

Showing (x,y) = (32,58) is the other solution. But this is just a mirror copy of the first solution. Effectively we're saying the same thing.

The two numbers 58 and 32 multiply to 1856, and they add to 90.

The difference in the two values is 58-32 = 26 which is the final answer.

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

In summary,

58*32 = 1856

58+32 = 90

58 - 32 = 26

Answer:26

Step-by-step explanation:

x+y=90

xy=1856

x*(90-x)=1856

-x^2 +90x -1856=0

or x^2 -90x +1856=0

Using quadratic equation

(x-58)*(x-32)=0

x=58, y=32

58-32=26

Answer:

true

Step-by-step explanation:

Supplementary angles are any two angles whose measures sum to 180 degrees. Supplementary angle pairs will either be two right angles (both 90 degrees) or be one acute angle and one obtuse angle. If two angles are both supplementary to the same angle, then the two angles are of equal measure  two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

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