A car salesman had $65100 in total monthly sales last month. He made $1953 in commission from those sales. What is the salesmans commission as a percent of his total monthly sales?

Hi there! :)

Answer:

Length = 4 cm

Width = 9 cm

Step-by-step explanation:

Here's the information we know:

- Perimeter = 26 cm

- Width = x (I just replaced the width by "x" because it's what we are looking for)

- Length = x - 5

Now before we can do anything, you need to know what the formula for the perimeter of a rectangular is: P = (2 × Length) + (2 × Width)

Replace all the information you know in the formula and solve the equation by isolating "x":

P = (2 × Length) + (2 × Width)

26 = ( 2 × (x - 5)) + (2 × x)

Multiply "2" and "x" together → 2 × x = 2x

26 = ( 2(x - 5)) + 2x

Distribute the "2" to the entire parentheses → 2 × x = 2x & 2 × -5 = -10

26 = 2x - 10 + 2x

Add similar terms together → 2x + 2x = 4x

26 = 4x - 10

Add 10 to each side of the equation → 26 + 10 = 36

36 = 4x

Divide each side of the equation by 4 → 36 ÷ 4 = 9

9 = x ⇒ Measure of the width

Since the lenght is 5 centimeter less than the measure of the width, in order to find the measure of the length you'll need to subtract "5" from the measure of the width, which is "9":

9 - 5 = Length rectangle

9 - 5 = 4 ⇒ Length rectangle

There you go! I really hope this helped, if there's anything just let me know! :)

Answer:

106.63%.

Step-by-step explanation:  

We have been given that at the end of 2005, this price was $513. At the end of 2015, it was $1060.

To find the percentage of the price per ounce of gold increase we will use % increase formula.

[tex]\text{Percent Increase}=\frac{\text{Final value-Initial value}}{\text{Initial value}}\times 100[/tex]

Let us substitute our given values in above formula.

[tex]\text{Percent Increase}=\frac{1060-513}{513}\times 100[/tex]

[tex]\text{Percent Increase}=\frac{547}{513}\times 100[/tex]

[tex]\text{Percent Increase}=1.0662768031189084\times 100[/tex]

[tex]\text{Percent Increase}=106.62768031189084\approx 106.63[/tex]

Therefore, the price of per ounce of gold increased by 106.63%.

Answer:107

Step-by-step explanation:

So if it is incorrect for the other answer this is the answer, so do 1060-513=547, so it increased by that much, then divided 547/513= 1.06627680312 But that rounds up to 7 and since we know that the original was 100% of its amount we would add 100+7 which would be 107%

Divide the total miles by her speed:

270 miles / 60 miles per hour = 4.5 hours.

Answer:

65.94 cubic inches

Step-by-step explanation:

We are given that a cone shaped cup has a radius of 3 inches and a height of 7 inches and we are to find the volume of this cone shaped cup.

We know the formula for the volume of a cone:

Volume of a cone = [tex]\pi r^2\frac{h}{3}[/tex]

So substituting the given values in the above formula to get:

Volume of the cone shaped cup = [tex]3.14*3^3*\frac{7}{3} =65.94[/tex]

Therefore, the volume of the cone shaped cup is equal to 65.94 cubic inches.

Answer:

65.94 inches^3

Step-by-step explanation:

hope this helps

Answer:

8/20 and 12/30 are equivalent to 4/10.

Step-by-step explanation:

You just have to multiply the numerator and denominator by the same number.

Answer:

Hello.

The answer is $6 each item.

Step-by-step explanation:

If all of the items are the same price, then we have a total of 7 items ( 3 keyboards + 4 mic = 7 items).

So at the end is: 7 items ÷ $42 = $6.

The cost of each item is $6.

A division is a process of splitting a specific amount into equal parts.

Given that Mr. Vargas is buying used computer equipment. He buys 3 keyboards and 4 mice. He spends $42.

Since, cost of each item is same, therefore total item = (3 + 4) = 7

Let the cost of each item be c,

7c = 42

c = 6

Hence, The cost of each item is $6.

For more references on division, click;

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Answer:

B. 1/7

Step-by-step explanation:

The triangles are similar, so the ratios of corresponding sides are the same.

... UV/XY = 3/21 = 1/7 . . . . . matches B

_____

When we talk about the ratio "A to B", we usually mean A:B or A/B. There's the possibility that the question could be interpreted to mean, "what factor do I multiply by to get from A to B?" In that case, the result here would be 7, because XY is 7 times the length of UV.

A recursive rule for a geometric sequence:

[tex]a_1\\\\a_n=r\cdot a_{n-1}[/tex]

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

[tex]a_1=2;\ a_n=\dfrac{4}{9}a_{n-1}\to r=\dfrac{4}{9}[/tex]

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

The exciplit rule:

[tex]a_n=a_1r^{n-1}[/tex]

Substitute:

[tex]a_n=2\left(\dfrac{4}{9}\right)^{n-1}=2\cdot\left(\dfrac{4}{9}\right)^n\cdot\left(\dfrac{4}{9}\right)^{-1}=2\cdot\left(\dfrac{4}{9}\right)^n\cdot\dfrac{9}{4}\\\\\boxed{a_n=\dfrac{9}{2}\cdot\left(\dfrac{4}{9}\right)^n}[/tex]

Answer:

B

Step-by-step explanation:

Answer: [tex]\bold{x < \dfrac{4b-9}{3}}[/tex]

Step-by-step explanation:

-3x + 4b > 9

       -4b  -4b  

-3x        > -4b + 9

÷-3       ↓    ÷-3    

  x         [tex]<\dfrac{-4b+9}{-3}[/tex]

  x         [tex]<\dfrac{-1(4b-9)}{-1(3)}[/tex]

  x         [tex]<\dfrac{4b-9}{3}[/tex]

Answer:

A

Step-by-step explanation:

A

Answer:

No

Step-by-step explanation:

In a dilation, size is not preserved. Triangles must have the same shape and size in order to be congruent. If it is dilated by 2/3, then it gets smaller, and is therefore not the same size.

Final answer:

Triangle QRS is not congruent to triangle ABC after a dilation of  [tex]\frac{2}{3}[/tex], but the two triangles are similar because their corresponding angles are equal and sides are proportional.

Explanation:

The question concerns the concept of congruent and similar triangles in geometry. When triangle QRS is dilated about the origin by a scale factor of [tex]\frac{2}{3}[/tex] to create triangle ABC, the two resulting triangles are not congruent because their corresponding sides are not equal in length. However, they are similar since the angles remain the same and the sides are proportional. Congruent triangles are identical in both shape and size, but similar triangles maintain the same shape while the size can vary in proportion.

Answer:

Step-by-step explanation:

6>d-1

Add 1 to each side

6+1 > d-1+1

7>d

Hi there!

Answer:

D>7

*The answer must have a positive sign and greater than symbol.*

Step-by-step explanation:

First, you switch sides of an equation.

[tex]d-1>6[/tex]

Then, you add by 1 from both sides of an equation.

[tex]d-1+1>6+1[/tex]

And finally, you add by the numbers from left too right.

[tex]6+1=7[/tex]

Final answer is d>7

I hope this helps you!

Have a nice day! :)

-Charlie

:D

Answer: 28%

Step-by-step explanation:

  [tex]\dfrac{new-original}{original}[/tex]

 [tex]=\dfrac{1022.40-1420}{1420}[/tex]

 [tex]=\dfrac{-397.60}{1420}[/tex]

= -0.28

= -28%

NOTE: negative sign represents decrease

Answer: Choice B

We start with SU = UT being given, and so is SV > VT.

The second line is UV = UV by the reflexive property to help us use the converse of the hinge theorem next.

The hinge theorem basically says that the more open an angle is, the larger the opposite side will be (the side opposite from the angle that varies). Imagine a door opening and closing. The further open it gets, the longer the rope will be that connects the door handle to the frame. Going in reverse, the converse says that if the opposite side of the angle gets bigger, then the angle itself gets bigger as well. The hinge theorem is handy to help compare two sides even if we don't know their exact lengths (we can figure out which side is larger than the other)

The conditions given that SU is congruent to UT and SV is greater than VT create a scenario where we can prove that the measure of angle SUV is greater than the measure of angle TUV.

Given that SU≅UT means that segment SU is congruent to segment UT, and SV>VT meaning that segment SV is greater than segment VT, this sets up two important conditions for the triangle SUV. First, as SU is congruent to UT, this implies that ∠SUV is congruent to ∠TUV due to the Base Angles Theorem (If two sides of a triangle are congruent (equal), then angles opposite these sides are congruent). However, SV>VT creates an inequality which contradicts this, pointing towards the fact that ∠SUV is greater than ∠TUV.

Proof:

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Answer:

2.54 cm/1 inch

Step-by-step explanation:

We have inches.  That is in the numerator.  We need to convert to cm.  So our conversion factor should have cm in the numerator and inches in the denominator.

1 in = 2.54 cm

Divide both sides by 1 inc

A conversion factor is equal to 1

1 = 2.54 cm/1 inch

The correct unit conversion fraction to convert inches to centimeters is 2.54 cm/1 in. Apply this factor to the length in inches (11 inches) to obtain the length in centimeters (27.94 cm).

To convert a length in inches to centimeters, we can use a unit conversion fraction. In this case, because there are 2.54 centimeters in one inch, the correct unit conversion fraction to use is A. 2.54 cm/1 in. This means that we multiply the length in inches by the conversion factor to get the length in centimeters. Here is the step-by-step process for your problem:

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Answer: A = 2.5

Step-by-step explanation:

The highest point is 5.5.  The lowest point is 0.5.

[tex]Amplitude (A) = \dfrac{high-low}{2}[/tex]

[tex]A = \dfrac{5.5-0.5}{2}[/tex]

   [tex]= \dfrac{5}{2}[/tex]

   [tex]= 2.5[/tex]

y=-2

Find the slope of the line between

Answer:

y = -2

Step-by-step explanation:

The y values remain constant through the whole line. It pass through the point where y = -2 so it's equation is:

y = -2

w - width

2.5w - length

84m - perimeter

w + w + 2.5w + 2.5w = 7w - perimeter

The equation:

7w = 84    divide both sides by 7

w = 12 m

length = 2.5w → 2.5w = 2.5(12) = 30 m

Answer:

[tex]f(x)=25,682(1.2)^{t}[/tex]

44378.496=44,379

Step-by-step explanation:

We can write the equation using a growth equation [tex]f(x)=P(1+r)^{t}[/tex] where:

We will substitute into the formula P=25,682, r=0.2 and t =3 for 3 years since 2018 is 3 years after 2015.

[tex]f(x)=25,682(1+0.2)^{3}[/tex]

[tex]f(x)=25,682(1.2)^{3}[/tex]

[tex]f(x)=44378.496[/tex]

Answer:

The range is 12

Step-by-step explanation:

The range of the data is the largest number minus the smallest number.

The largest number is 17

The smallest number is 5

17-5

12

The range is 12

Final answer:

To model the situation with an equation, use the quantities of CDs and books as variables c and b, and their prices to create the equation 10c + 6b = 32, which represents spending exactly $32.

Explanation:

To create an equation modeling the situation where you want to spend exactly $32 on CDs and books, we need to use the given prices for each item. Let c represent the number of CDs you buy at $10 each, and let b represent the number of books you buy at $6 each.

The total amount spent will be the sum of the amount spent on CDs and the amount spent on books. Using the price of each item, we can write the following equation:

10c + 6b = 32

This equation can now be written in standard form, which is Ax + By = C, where A, B, and C are integers, and A is non-negative. Therefore, our equation in standard form is:

10c + 6b = 32

1) The question is specifically asking about graduates. The total number of graduates is 2,610.

2) The total number of graduates on financial aid is 1,879.

3) So I think what you need to do is divide 2,610 (the total number of graduates) by the total of graduates on financial aid.

4) Using a calculator, I got 1.3.

Edit: I think MrBillDoesMath got it correct. But I appreciate you thanking me, despite my answer not being right.

Hello from MrBillDoesMath!

Answer:

.72

Discussion:

From the table, 1879 graduates students are receiving financial aid. Also from the table the total number of grad students is 2610. Hence the probability of a grad student receiving financial aid is   1879 /2610 = .72

Regards,  

MrB

29. e = D/(3f²)

30. k=-4, x=41 . . . . matches the 2nd selection

29. Multiply by the inverse of the coefficient of e. That coefficient is 3f², so you divide by that quantity.

... D = e(3f²)

... D/(3f²) = e . . . . . matches the first choice

___

30. You want to solve for k and use it with a different y-value.

... y = kx

... -96 = k·24

... -96/24 = k = -4

For y = -164, you have

... -164 = -4·x

... -164/-4 = x = 41

The coefficient of variation is -4, x is 41.

Answer:

option c

Step-by-step explanation:

x + 9 - 4x =3 - 2x + 4

=>x + 2x - 4x =7 - 9

=>3x - 4x = -2

=>-x = -2

=>x = 2

Answer:

x=2

Step-by-step explanation:

x+9 -4x = 3-2x+4

The first step is to combine like terms

-3x+9 = -2x+7

Add 3x to each side

-3x+3x+9 = -2x+3x+7

9 = x+7

Subtract 7 from each side

9-7 = x+7-7

2 =x

Answer:

10 5/8

Step-by-step explanation:

We need to subtract (7 1/4  + 4 7/8) from 22 3/4 grams of salt.

We compute the whole numbers and fractions separately:-

7 + 4 = 11

1`/4 + 7/8 =  2/8 + 7/8 = 9/8 = 1 1/8.

So  7 1/4  + 4 7/8 = 12 1/8

Therefore:-

22 3/4 - 12 1/8

22 - 12 = 10

3/4 - 1/8 = 5/8

= 10 + 5/8 = 10 5/8  (answer)

The domain of the function is:

                All real numbers i.e. (-∞,∞)

The range of the function is:

                     (-∞,0]

It is given that:

The graph of an absolute value function opens down and has a vertex of (-3,0).

This means that the graph of the function increases continuously in the interval (-∞,-3] and takes maximum value 0 when x= -3 and then decreases continuously in the interval (-3,∞).

Domain of a function--

It is the set of all the x-values for which a function is defined i.e. it is the set of all the values of the independent variable for which the function is defined.

Range of a function--

It is the set of all the values attained by a function.

                Hence, the range of the function is: (-∞,0].

We have dollars and dollars per pack, so we divide to get how many packs.

[tex] \dfrac{21.75}{1.75} = \dfrac{2175}{175} = \dfrac{87(25)}{7(25)} = \dfrac{87}{7} \approx 12.4[/tex]

Odd that it's not a whole number of packs; please check the question carefully.  Let's say she bought 12 and got some change.

My guess is the question really says Alice spent $22.75, so she bought 13 packs.  Again check the question carefully.  You don't need us to divide two numbers.

Answer:

A. Collinear

Step-by-step explanation:

three points that all lie in a straight line

A. Collinear- means along the same line

B. Congruent  - means the same

C. Equal  = means the same

D. Midpoint= means the middle

Answer by YourHope:

Hi! :)

Which of the following terms best describes three points that all lie in a straight line?

I would say A. Collinear!

:)

First, you much find out how many houses are deliverd in 1 hour.

130/2.5=52

So 52 houses are delivered in 1 hour. Now, divide that by 312.

312/52=6

It would take 6 hours to deliver 312 houses.