A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales. What is the salesman's commission as a percent of his total monthly sales? Enter your answer in the box. %

a

Square root of 5 units

Step-by-step explanation:

i just had this problem

Answer:

Total number of dozen muffins they both bake is [tex]2\frac{8}{12}[/tex]    

Step-by-step explanation:

Given : Arthur baked [tex]1\frac{7}{12}[/tex] dozen muffins. Nina baked [tex]1\frac{1}{12}[/tex] dozen muffins.

We have to find the total number of dozen muffins did they both bake.

To find the total number of dozen muffins did they both bake is equal to number of dozen of muffins Arthur bake and  number of dozen of muffins Nina bake

That is

Mathematically written as ,

Total number of dozen muffins = number of dozen of muffins Arthur bake + number of dozen of muffins Nina bake

Given : Arthur baked [tex]1\frac{7}{12}[/tex] dozen muffins

and Nina baked [tex]1\frac{1}{12}[/tex] dozen muffins.

Total number of dozen muffins = [tex]1\frac{7}{12}+1\frac{1}{12}[/tex]  

Simplify, we get,

Total number of dozen muffins = [tex]1\frac{19}{12}+\frac{13}{12}[/tex]  

Adding, we get,

Total number of dozen muffins = [tex]1\frac{19+13}{12}=\frac{32}{12}[/tex]  

Thus, Total number of dozen muffins they both bake is [tex]2\frac{8}{12}[/tex]    

The strength of a cable is directly proportional to the square of its diameter. This relationship allows us to compute the strength of a cable of given diameter. Using given data, a cable with 3cm diameter can support 1800kg.

The strength of a cable is said to be proportional to the square of its diameter. This is a mathematical concept of direct proportionality. In this specific case, the proportionality can be written as S=k(D^2), where S is the strength (or weight it can support), D is the diameter and k is a constant.

For a 2-cm cable, we can plug the values into the equation to find the constant: 800= k(2^2), therefore k=800/4=200.

Now, knowing that k=200, we can calculate the strength of a 3-cm cable by plugging in the values: S=200*(3^2) =1800. Therefore, a cable with a 3-cm diameter can support 1800kg.

https://brainly.com/question/35322840

#SPJ11

Answer: The sample space showing the possible orders of the other three runners is

[tex]S=\{HFGI,HGFI,HIGF,HFIG,HGIF,HIFG\}[/tex]

Step-by-step explanation:

Since we have given that

Number of runners = 4

Four runners are as follows:

Fran, Gloria, Haley, and Imani.

Since Haley is the first runner in the relay,

So, Sample space showing the possible order of the other three runners.

[tex]S=\{HFGI,HGFI,HIGF,HFIG,HGIF,HIFG\}[/tex]

Hence, the sample space showing the possible orders of the other three runners is

[tex]S=\{HFGI,HGFI,HIGF,HFIG,HGIF,HIFG\}[/tex]

Answer:

D

Step-by-step explanation:

its reflected off the L-axis

Final answer:

The actual distance between two cities on a map with a scale of 1 cm:12 km, where the map distance is 6.8 cm, can be calculated as 6.8 cm × 12 km/cm, resulting in an actual distance of 81.6 kilometers.

Explanation:

Understanding Map Scale Problems

To calculate the actual distance between two cities on a map using the scale given, you would use the following steps:

First, identify the scale of the map provided; in this case, it is 1 cm : 12 km.

Next, measure the distance on the map between the two cities; the distance is 6.8 cm.

Finally, multiply the distance on the map by the scale factor to find the actual distance. That is, 6.8 cm (distance on the map) × 12 km/cm (scale factor) = 81.6 km (actual distance).

Therefore, the estimated actual distance between the two cities is 81.6 kilometers.

To find the marginal cost at the given production level x, differentiate the cost function C(x) and substitute the value of x. The units of measurement for the marginal cost are dollars per unit (x).

To find the marginal cost at the given production level x, we need to find the derivative of the cost function C(x) with respect to x. Let's differentiate the function:

C'(x) = 70 - 1,000/x^2

Now, substitute x = 100 into the derivative:

C'(100) = 70 - 1,000/100^2 = 70 - 1 = 69

The units of measurement for the marginal cost are dollars per unit (x).

https://brainly.com/question/29583181

#SPJ3

Answer:

yoo hoo

Step-by-step explanation: This was in 2016 but its 1/5

tan(θ) = -1/6.

Given that sec(θ) = √37/6 and sin(θ) < 0, we can find tan(θ) using the trigonometric identity:

sec²(θ) - tan²(θ) = 1

First, we need to find the value of tan(θ) using the given information:

Since sec(θ) = √37/6, we know that sec(θ) = 1/cos(θ), so cos(θ) = 6/√37.

Since sin²(θ) + cos²(θ) = 1, we can find sin(θ):

sin²(θ) + (6/√37)² = 1

sin²(θ) + 36/37 = 1

sin²(θ) = 1 - 36/37

sin²(θ) = (37-36)/37

sin²(θ) = 1/37

Given that sin(θ) < 0, sin(θ) is negative. Therefore, sin(θ) = -1/√37.

Now that we have sin(θ) and cos(θ), we can find tan(θ):

tan(θ) = sin(θ)/cos(θ)

tan(θ) = (-1/√37) / (6/√37)

tan(θ) = -1/6

Therefore, tan(θ) = -1/6.

Answer:

10 + 10 = 20 ; 456 + 543 = 999

Step-by-step explanation:

Answer: x + 7/ 3

Assuming the said quantity is divided by 3x+15 as a denominator in fraction form.

After dividing, the simplest form, x + 7/ 3, can be found after dividing both the numerators and the denominators by the smallest common factor.

Proof of validity is shown below.

Aaron should pay $80 in the first month to satisfy the conditions of repaying $150 in 4 monthly installments, with each subsequent payment being half of the previous one.

Aaron needs to pay back a total of $150 in 4 monthly installments, with each payment being half the amount of the previous month. Let's denote the first payment amount as X. Then, the second payment would be X/2, the third would be X/4, and the fourth would be X/8. These four payments need to sum up to $150, which is the total amount Aaron borrowed.

To find the value of X, we can set up the following equation based on the aforementioned information:

X + X/2 + X/4 + X/8 = 150

To solve this equation, we should find a common denominator, which is 8 in this case, and rewrite the equation as:

8X/8 + 4X/8 + 2X/8 + X/8 = 150

Adding the numerators together gives us:

(8X + 4X + 2X + X) / 8 = 150

15X / 8 = 150

Multiplying both sides by 8 and then dividing by 15 gives us:

X = (150 × 8) / 15

X = 1200 / 15

X = 80

Thus, Aaron should pay $80 in the first month to repay the money on schedule as he promised.

1. Infinite many solution.

2. No solution

3. One solution

4. No solution

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Depending upon the situation we have three case

[tex]a_1/ a_2 = b_1/ b_2 = c_1 / c_2[/tex] then line is Coincident and have infinite many solution.

and, [tex]a_1/ a_2 \neq b_1/ b_2[/tex] then line is Intersecting and have one solution.

and, [tex]a_1/a_2 = b_1/ b_2 \neq c_1/ c_2[/tex] then line is Parallel and have No solution.

1. 3x = -12y + 15 and x+4y=5

3x + 12y - 15= 0 and x+ 4y- 5 = 0

So, [tex]a_1/ a_2 = b_1/ b_2 = c_1 / c_2[/tex] then line is Coincident and have infinite many solution.

2. 4x - y +3 = 0 and -8x + 2y -3 = 0

So,  [tex]a_1/a_2 = b_1/ b_2 \neq c_1/ c_2[/tex] then line is Parallel and have No solution.

3. x+ 4y - 12= 0 and 5x - 20y -60 = 0

So,  [tex]a_1/ a_2 \neq b_1/ b_2[/tex] then line is Intersecting and have one solution.

4. -5x + y +6 = 0 and -15x + 3y +12 = 0

So,  [tex]a_1/a_2 = b_1/ b_2 \neq c_1/ c_2[/tex] then line is Parallel and have No solution.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ7

because it is arithmetic not geometric 14,x,56 An = An-1 + d x = 14 +d --> d = x-14 56 = x +d --> d = 56-x By substitution x-14 = 56-x 2x = 70 x = 35 the sequence is 14,35,56

The answer to this is: TRUE

The value of x is 12 and Shakeel got 18 points.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Adam scored x points. Imran scored 3 points fewer than Adam. Shakeel scored twice as many points as Imran. together they scored 39 points

Establishing the equation, we get

Adam scored x points.

Imran scored x-3 points.

Shakeel scored 2(x-3) points.

Together they scored 39 points:

x + (x-3) + 2(x-3) = 39

x + x -3 + 2x - 6 = 39

4x = 48

x = 12

∵ Shakeel scored = 2(x-3) points.

Putting x = 12, to get the marks scored by him,

Shakeel's score = 2(12-3) = 18

Hence, The value of x is 12 and Shakeel got 18 points.

For more references on equations, click;

https://brainly.com/question/29657983

#SPJ2