If you are buying at item at a store for a price of $66, and there is a 5.1% tax added on top, what would be the total amount due at the register, to the nearest cent?​

Answer:

No solution

Step-by-step explanation:

4x = 4x + 1

0 unequal to 1

Answer: D. No solution

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Answer:136

Step-by-step explanation:

Answer:

144 seconds

Step-by-step explanation:

To do solve this question, we must find the LCM (least common multiple) of 12, 16, and 18.

Let's start by prime factorizing (finding the prime factors) all the numbers.

\(12\rightarrow3*4\rightarrow2*2*3\)

\(16\rightarrow4*4\rightarrow2*2*2*2\)

\(18\rightarrow2*9\rightarrow2*3*3\)

Now, we must find the greatest quantity of each [prime] number and multiply them together to obtain the least common multiple.

Upon further evaluation of the [prime] factors, we can see that we need four 2s and two 3s. Therefore...

\(2*2*2*2*3*3=2^4*3^2=16*9=144\)

They will be fired together again after 144 seconds.

Answer:

4.25x + 6.5y ≤ 60

y ≥ 0

x + y > 10

x ≥ 0

Step-by-step explanation:

    We will write mathematical inequalities for all the details given.

Let x represent the number of domestic packages.

    We cannot have negative packages, so x ≥ 0.

Let y represent the number of international packages.

    We cannot have negative packages, so y ≥ 0.

The employee has no more than 1 h to ship packages.

    If it takes 4.25 minutes to prepare an x package and 6.5 minutes to prepare a y package, and 1 hour is equal to 60 minutes, we can write this as 4.25x + 6.5y ≤ 60.

The employee must ship more than 10 packages.

    This means the total number of packages must be greater than 10, so x + y > 10.

If we mutiply a positive number with a positive or negative sign we get the answer as number with sign.

If we mutiply a negative number with sign the answer will be,

Thus, if we mutiply a negative to a positive number the sign gets reversed.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

Step-by-step explanation:

Hhggggy

Both planes have a speed of 340 miles per hour and 510 miles per hour, respectively.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Let tc be the time of commercial jet and tp be the time of private airplane.

Let vc be the speed of commercial jet and vp be the speed of private airplane.

Let dc be the distance of commercial jet and dp be the distance of private airplane.

now,

dc=dp

vc=vp+170

vc*tc=vp*tp

(vp+170)*1.2=vp*1.8

(vp+170)*2=vp*3

2vp+340=3vp

vp=340 miles/hour

vc=340+170

vc=510 miles/ hour

The speed, in miles per hour, of both airplanes is 340 miles per hour and 510 miles per hour.

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Answer:

12 because imagine 40 / 3  ok?   now what makes 160 40 x 4    so you do that for the button 4 x 3 please put heart

Answer:

\(1\)

Step-by-step explanation:

\(g(f(5))=g(-(5)+6)=g(1)=1^3=1\)

The equivalent relationships of the function are 3x - 9 = 12 and 3x - 9 = -12

From the question, we have the following parameters that can be used in our computation:

|3x-9|-24=-12

The above equation is an absolute value function

So, we start by representing the equation properly

So, we have the following representation

|3x - 9| - 24= -12

Add 24 to all sides of the equation

|3x - 9| = 12

Remove the absolute bracket

So, we have

3x - 9 = 12 and 3x - 9 = -12

Add 9 to all sides of the equation

3x = 21 and 3x = -3

Divide through the equations by 3

x = 7 and x = -1

Hence, the representations are 3x - 9 = 12 and 3x - 9 = -12 and the solutions are  x = 7 and x = -1

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Answer:

5 x 75 = 375w (5 bulbs added up) 1.5 x 375 = 562.5w (running for an hour and a half) 562.5/1000 x 10 = 5.525 cents. 1 Kwh is 1000w running for 1 hour.

Step-by-step explanation:

The cost of 150 watt light bulb kept on for a week will be 302.4 cents.

It is given that an utility company charges 12 cents per kilowatt-hour of electricity.

We have to find out what will be the cost of 150 watt light bulb kept on for a week.

What will be the cost of 10 pens , if 1 pen costs $20 ?

The cost of 10 pens will be equal to multiplication of 10 with 20 i.e., 10 × 20 or $ 200.

As per the question ;

Charge per kilowatt-hours of electricity = 12 cents

∵ 1KW-hours = 100watt-hours

So ;

Rate = 12 cents / 1000 watt-hours

and cost if light bulb is kept on for one week will be ;

Cost = (12 cents /1000 watt-hours) x 150 watts x 24 hours/day × 7days

= 302.4 cents

Thus , the cost of 150 watt light bulb kept on for a week will be 302.4 cents.

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Answer:

63x-44

Step-by-step explanation:

7(9x - 6) - 2

63x-42-2

put the like terms together

63x-44

Answer:

1/12

Step-by-step explanation:

First we have to calculate the sample space i.e. The total number of outcomes,

(H represents heads, T represents Tails and Numericals represent the number on the die)

H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6

= 12 sample spaces

Ok now so what is the probability that the die lands on 4 and it pops up as heads. So when we see the total outcomes we see that such event has only one such outcome

The number of outcomes/Total number of outcome

So therfore we can represent it in fraction as

1 / 12

Answer:

its is true just keep practicing applying urself love<33

The complete order of the inverse function of the function f(x) = x + 5 is:

1. y = x + 5

2. x = y + 5

3. x - 5 = y

4. y = x - 5

The function is given as:

f(x) = x + 5

The opposite of the function f(x) = x + 5 is the inverse of the function.

So, we have:

f(x) = x + 5

Express f(x) as y

y = x + 5

Swap the positions of x and y

x = y + 5

Make x the subject of the formula

x - 5 = y

Rewrite as:

y = x - 5

Hence, the inverse function of the function f(x) = x + 5 is y = x - 5

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The fraction of the given is 1/7 .

What is fraction?

 A fraction that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Here let us take x as numerator and y as denominator. Then

If the numerator is multiplied by 3 and denominator is reduced by 2, we get 3/5 ,

=> 3x/y-2 = 3/5

=> 5*3x =3(y-2)

=> 15x=3y-6

=> 5x=y-2

=> y =5x+2------>1

Now if the numerator is increase by 4 and the denominator is double we get 5/14,

=> (x+4)/2y = 5/14

=> 14x+56 = 10y

=> 7x+28=5y ---->2

Here put 1 into 2 then,

=> 7x+28 = 5(5x+2)

=> 7x+28=25x+10

=>18x=18

=> x =1

Now put x=1 into 1 then,

=> y =5(1)+2 = 7.

Therefore the given fraction is x/ y = 1/7.

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Hey there! :)

Answer:

d ≈ 3.49 units

Step-by-step explanation:

Use the distance formula for polar coordinates to determine the distance:

\(d = \sqrt{r_{1} ^{2}+r_{2} ^{2}-2r_{1}r_{2}cos(0_{1}- 0_{2} ) }\) (The '0' is supposed to be theta)

Plug in the values given in the question. Convert radians to degrees to simplify the process.

217π/180 = 217°

-23π/36 = -115°.

Therefore:

\(d = \sqrt{7 ^{2}+5 ^{2}-2(7)(5)cos(217-(-115) ) }\)

Begin simplifying:

\(d = \sqrt{74-70cos(332) }\)

\(d = \sqrt{74-61.81 }\)

Solve:

\(d = \sqrt{12.19 }\)

d ≈ 3.49 units

Answer:

14

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) Commission = 2450 shillings * 25 % = 2450 shillings * (25/100) = 2450 shillings * (0.25) = 612.50 shillings

Commission = 612.50 shillings

B) If the total sale is 2,450.00 shillings, after the seller gives buyers a 2% discount. We must re-enter the discount:

2,450.00 shillings = X - X * 2% = X - 0.02 X --->

------> 0.98 X = 2,450.00 shillings

------>X= 2,450.00 / 0.98

------> X = 2,500.00  shillings

NEW COMMISSION = 2,500.00 shillings * 25 % = 2,500.00 shillings *(25/100) =2,500.00 shillings * (0.25) = 625 shillings

NEW COMMISSION = 625 shillings

Peter is 1.68 meters tall.

What is height?

Height is a measure of the distance between the base and the top of an object, or the distance between the bottom and the top of a vertical structure. It is often used to describe the vertical dimension of an object or structure, such as the height of a building, the height of a person, or the height of a mountain. In mathematics, height can also refer to the vertical distance between two points on a coordinate plane or the vertical dimension of a three-dimensional shape. The height of a triangle, for example, is the perpendicular distance from the base to the highest point of the triangle.

Peter's height is Thandi's height plus the additional 0.45 m. Therefore:

Peter's height = Thandi's height + 0.45 m

Peter's height = 1.23 m + 0.45 m

Peter's height = 1.68 m

Therefore, Peter is 1.68 meters tall.

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Given the function:

Let's find f(-6).

To solve this function operation, substitute -6 for x in f(x).

Thus, we have:

ANSWER:

-21

Answer:

vjjvwplast

Step-by-step explanation:

past I 1 days its just is right

Answer:

I think the answer is c I guess

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

Answer:

8units²

Step-by-step explanation:

Area of the trapezoid = 1/2(a+b)h

a and b are the opposite sides

h is the height

Take a square as 1 unit

a = 1 unit

b = 3 units

height h = 4 units

Substitute

A = 1/2(1+3)*4

A = 1/2 * 4 * 4

A = 16/2

A = 8units²

Hence the area of the trapezoid is 8units²

Answer

ASA.

Step-by-step explanation:

just got it right on edu2020.

The missing reason in the proof that justifies why ΔMNG ≅ ΔKJG is: ASA.

Recall:

In the proof given as shown in the image attached below, having established the fact that both triangles have two pairs of congruent angles, ∠MGN ≅ ∠KGJ and ∠N ≅ ∠J, and the image also shows a pair of included sides that are congruent, GN ≅ GJ, therefore:

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The solution of the composite function fog(x) = 3x + 3 at x > 2.

Let the two function f(x) and g(x) generate a new function h(x) using an operation.

The operation is composition of functions and h(x) is a composite function.

We have three piecewise function.

First we have to show that,

the composite function,

fog(x) at x > 2.

For that,

g(x) at x > 2 is,

g(x) = 3x.

Now, f(g(x)),

= f(3x)

= 3x + 3 at x > 2.

Therefore, the function is fog(x) = 3x + 3.

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The complete question:

Find the fog(x) at x > 2

Given :

Interest rate , r = 4 %.

To Find :

The APY .

Solution :

APY is given by :

\(APY=(1+\dfrac{r}{n})^n-1\)

Here , r is compound interest and n is number of time compounded .

So ,

\(APY=(1+\dfrac{r}{n})^n-1\\\\APY=(1+\dfrac{4}{12})^{12}-1\\\\APY=30.57\%\)

Therefore , APY is 30.57 % .

Hence , this is the required solution .