what is a rate and a unit rate

Answer:

3012.00

Step-by-step explanation:

Assuming the median salary is 50200, multiply this by 6%.

Answer:

$3,012.00

Step-by-step explanation:

Convert 6% into a decimal and multiply

$50,200.00 x 0.06 = $3,012.00

Solution,

Here,

S = Surface area of cone

r = Radius

l = length

Now,

S = πr^2 + πrl

or, S = πr(r + l)

or, S ÷ πr = r + l

or, S ÷ πr - r = l

or, l = S ÷ πr - r

Therefore,the formula for the length will be

l = S ÷ πr - r

The net change in price of the stock is $1

The given parameters are

Monday = $7 rise

Tuesday = $8 drop

Wednesday = $2 rise

The net change in price of the stock is calculated as

Net change = Monday + Tuesday + Wednesday

Where

Rise = +

Drop = -

So, we have

Net change = 7 - 8 + 2

Evaluate

Net change = 1

Hence, the net change in price of the stock is $1

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Using proportions, it is found that the federal income tax withheld each week is given by $24.69.

The rates for a married person are given as follows:

Additionally, we have that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Removing the allowances, the taxable amount is:

390.50 - 2 x 63.46 = $263.58.

Hence, applying the rates, the withheld amount is given by:

14.40 + 0.15(263.58 - 195) = $29.69.

The federal income tax withheld each week is given by $24.69.

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Answer:

kkkkkkkkkkkk

Step-by-step explanation:

Answer:

[tex]3^{x-6}[/tex]

I cannot make out from the answer choices which correspond to this, the formatting is all gone but this is the answer. Choose the correct option from the original question which has formatting.

See graph for visual proof

Step-by-step explanation:

Translation of a graph on the x-axis by a units means moving the graph left or right by a units

When you translate a function f(x) by a units to the right, the translated function becomes f(x - a)

Original function is f(x) = 3ˣ
When you translate the graph by 6 units to the right, the translated graph is [tex]g(x) = f(x-6) = 3^{x-6}[/tex]

Answer:

Step-by-step explanation:

We know that 2^2 = 4, or 2x2=4 2x2x2=2^3

so, it is only true that 10x10x10x10=10^4

Hope this helps!^^

Answer:

133,400

Step-by-step explanation:

Answer:

133.36?

Step-by-step explanation:

Sophie earns a weekly retainer $355 , a commission of 10% sales then the Sophie total earning each week = 39.44$

Sophie earns a weekly retainer = $355

Commission = 10% sales

That means 10%x sales

Let us assume,

Sophie total earning for a week if she made the following sales = x

We can write,

Sophie earns a weekly retainer $355 + commission of 10% sales

x = $355 +10% x

10%  means,   10/100 = 0.1x

Then,

x =  $355 + 0.1x

We can calculate the product,

x - 0.1x = 35.5$

x(1-0.1) = 35.5$

We can subtract the values,

0.9x = 35.5$

x = 35.5$/0.9

x = 39.44$

The value of x from the equation is 39.44$

Therefore,

Sophie earns a weekly retainer $355 , a commission of 10% sales then the Sophie total earning each week = 39.44$.

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Answer:

X = .35 (80.99)

Step-by-step explanation:

To find the new amount of something after a discount is applied, you would need to take the discount and turn it into a decimal, if it hadn't been already. Then, you multiply it by the initial amount to get your answer.

Hope this helps! :)

Answer:

-225

Step-by-step explanation:

-30(7)-15

-210-15

-225

Answer:

First one

Step-by-step explanation:

Did math

The number of the system equations are: 8 and 27.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the  intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

First, you should convert the text of the question in the math expression. Then,

x+y= 35  (1)

x+4y=116 (2)

After that, you should multiply equation(2) by -1. Thus,

x+y= 35  (1)

-x-4y= - 116 (2)

Now, when you sum equations 1 and 2, you  eliminate x . Thus, from this sum, you will have:

-3y=-81

3y=81

y=81/3

y=27

From equation (1), you can find x.

x+y=35

x+27=35

x=35-27

x=8

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Answer:

From top to bottom

radical

rational

exponential  

polynomial  

Step-by-step explanation:

It would have been nice if the graph was clearer so I could see x, y values but here goes

From top to bottom

radical :  appears to be a cube root function, [tex]a$\sqrt[3]{x}$ + b[/tex]

rational : of the form [tex]a\dfrac{1}{x} + b[/tex]. Appears to be a function of the reciprocal of x so rational

exponential  of the form [tex]a^x + b[/tex]

polynomial  of the form [tex]ax^2 + bx + c[/tex]

Answer:

Step-by-step explanation:

Looks good

Answer:

I think it is correct and also check to your teacher also

Answer: Add 1, then add 2, then add 3, then add 4, then add 5!

Answer:

29-p

Step-by-step explanation:

The answer is "29-p" because if the sum is 29 and we know that one number is p, then the remainder would be "29-p".

Hope this helped! :)

The diameter of the burger on the billboard will be  8 foot.

The burger on the billboard will be larger in size when compared with the actual burger. A scale would be needed to help determine how large in relation to the actual burger the burger on the billboard should be.

In order to determine the diameter of the burger on the billboard, divide the diameter of the actual burger by the scale that would be used.

Diameter of the burger on the billboard = 4 1/2 ÷ 9/16

9/2 ÷ 9/16

9/2 x 16 / 9 = 8 foot

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The side of the equilateral triangle is 14inches.

Let the side of the square be denoted as x inches

The formula for the perimeter of equilateral triangle is  

                           [tex]P_{t}[/tex] = 3a where a is the side of the triangle.

The formula for the perimeter of the square is

                           [tex]P_{s}[/tex] = 4x where x is the side of the square

We have been given that,

               [tex]P_{t} = 10 + P_{s}[/tex]      (1)

        and  a = 6 + x inches       (2)

Equation (1) can be written as

                  3a = 10 + 4x

From equation (2) ,

                  3( 6+x) = 10 + 4x

                  18 + 3x = 10 + 4x

                       x = 8

Substituting the value of x in equation (2) we get

                          a = 6+8

                           a = 14 inches

Hence the side of the triangle is 14 inches.

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According to the given statement;

a sloth go 600 units in 90 minutes

A fraction is used to denote a piece or component of a whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, while the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.

According to the given values;

A sloth may move in one hour = 250÷5/8.

let us simplify 250÷5/8 first.

Division sign can be convert into multiplication sign and flip the right side fraction 5/8 to 8/5.

250×8/5

Dividing 250 by 5, we get

= 50 × 8

Multiplying 50 and 8,  we get

= 400.

So, we could say, a sloth may move in one hour = 400 units.

We need to find distance covered in 90 minutes.

Let us convert 90 minutes into hours.

60 minute = 1 hour.

1 minute = 1/60 th of an hour.

and 90 minutes = 90 * 1/60 = 90/60 = 9/6 = 1.5 hours.

a Sloth may move in one hour = 400 units.

Therefore, in 1.5 hours Sloth can move = 1.5 × 400 = 600 units.

So, a sloth go 600 units in 90 minutes

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Since these angles are a pair of exterior alternate angles, then they are supplementary and add up to 180°

[tex](3x + 2) + (2x + 23) = 180 \\ 3x + 2 + 2x + 23 = 180 \\ 5x = 180 - 23 - 2 \\ 5x = 180 - 25 \\ 5x = 155 \\ x = \frac{155}{5} = 31[/tex]

Answer:

i.24

Ii.48

Step-by-step explanation:

if Gokul gets 6 correct and each answer is 4 marks it becomes

4×6=24

and same for neena

12×4=48

Answer:

68

Step-by-step explanation:

2+6(11)

2+66

68

Hope this helps!

Using translation concepts, the image of the kite after the reflection over the line y = x is given on the graph at the end of the answer.

Transformations in the graph of a function involve operations such as multiplication/division or sum/subtraction, either in the domain of the function, involving values of x, or the range, involving values of y.

Examples of transformations are as follows:

The rule for a reflection over the line y = x is given by:

(x,y) -> (y,x).

The vertices of the kite are given as follows:

S(-6,5), R(-5,6), P(-5,4), Q(1,5).

After the reflection, the vertices of the image are given as follows:

S'(5,-6), R'(6,-5), P'(4,-5), Q'(5,1).

The image of the kite after the reflection over the line y = x is given on the graph at the end of the answer, with the vertices labeled.

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Answer:

x = 3°

z = 117°

Step-by-step explanation:

Linear pair: If the non-common arm of two adjacent angles form a line, then they are called linear pair and they add up to 180.

Vertically opposite angles are equal.

       5x + 48 = 63

Subtract 48 from both sides,

               5x = 63 - 48

               5x = 15

Divide both sides by 5

               x = 15÷ 5

               [tex]\sf \boxed{\bf x = 3}[/tex]

z + 63 = 180   {Linear pair}

      z  = 180 - 63

       [tex]\boxed{\bf z = 117}[/tex]

21. Point A is (1,5) and represents that the dog walker made $5 for one dog walked.

22. Point B is (5,25) and represents that after walking 5 dogs the dog walker made $25.

23. The dependant is the amount earned(y) and the independent is the number of dogs walked (x).

The point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

In this question we have been given a graph of Skateboards vs. Bikes.

We need to find the point that represents an INEFFICIENT point of production.

Inefficient production means the economy can be producing more goods without using any additional resources.

In given production possibility curve, an INEFFICIENT point of production is point A.

Therefore, the point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

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1. 64,000

2. 530,000

3. 160,000

4. 580,000