You order two drinks for 2.49 each and an entree for 12.95. if sales tax is 5% what is your total bill

x(−2) 2 =4(−2) = -2

To solve this equation, we first need to understand the order of operations in mathematical equations. The acronym PEMDAS is often used to remember the order: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

In this equation, we have parentheses and exponents. According to PEMDAS, we need to solve the parentheses first before moving on to the exponent. So, let's start by simplifying the parentheses on the left side of the equation.

x(-2)^2 = 4(-2)

= x(4) = -8

= 4x = -8

= x = -2

In the first step, we distributed the exponent of 2 to the -2 within the parentheses, resulting in (-2)^2 = (-2)(-2) = 4. This simplifies the left side of the equation to x(4) = 4x.

In the second step, we substituted the value of -2 on the left side of the equation, resulting in 4(-2) = 4x. This simplifies to -8 = 4x.

To isolate x, we divide both sides by 4, resulting in x = -2. This gives us our final answer.

In conclusion, when solving equations with multiple operations, it is important to remember the order of operations and follow it step by step. In this equation, we simplified the parentheses first, then solved for x by isolating it on one side of the equation. By following these steps, we were able to find the value of x, which is -2.

Answer: Hello there!

The equation is: 42x - 5

That can be phrased as "the difference between 42 times a number x and 5"

And we want to write a story that matches this.

an example can be:

Suppose that Jon craft musical instruments and he sells them in the beach, then you could write:

"The revenue in a day for Jon is equal to $42 for each instrument that he sells, less a 5 dollar fee that he needs to pay every day"

where the number of instruments would be x.

Answer 1061

Step-by-step explanation:

Answer:

At 5:00 p.m. the planes will be [tex]1061.323[/tex] miles apart.

Step-by-step explanation:

To solve this problem, I add a picture of the situation.

We know that speed is distance over time  ⇒

[tex]Speed=\frac{distance}{time}[/tex] (I)

The first step to solve this exercise is to graph the situation. We can draw a right triangle which vertices will be ''Tulsa'', and the planes ''A'' and ''B'' at 5:00 p.m.

In order to know the measures of the sides, we are going to calculate them using the equation (I)

Plane A leaves Tulsa at 2:00 p.m.

Therefore, at 5:00 p.m. it will have flown 3 hours ⇒

[tex]300\frac{mi}{h}=\frac{distance}{3h}[/tex] ⇒

[tex]distance=(300\frac{mi}{h}).(3h)[/tex]

[tex]distance=900mi[/tex]

At 5:00 p.m. the distance from the plane A to Tulsa is 900 mi

Plane B leaves Tulsa at 2:30 p.m.

Therefore, at 5:00 p.m. it will have flown 2.5 hours ⇒

[tex]225\frac{mi}{h}=\frac{distance}{2.5h}[/tex]

[tex]distance=(225\frac{mi}{h}).(2.5h)[/tex]

[tex]distance=562.5mi[/tex]

At 5:00 p.m. the distance from the plane B to Tulsa is 562.5 mi

Finally, we can find the distance between the plane A and the plane B using the Pythagorean theorem :

[tex](900mi)^{2}+(562.5mi)^{2}=(Distance_{A-B})^{2}[/tex]

[tex]810000mi^{2}+316406.25mi^{2}=(Distance_{A-B})^{2}[/tex]

[tex](Distance_{A-B})^{2}=1126406.25mi^{2}[/tex]

[tex]Distance_{A-B}=\sqrt{1126406.25mi^{2}}[/tex]

[tex]Distance_{A-B}=1061.322877mi[/tex] ≅ [tex]1061.323mi[/tex]

At 5:00 p.m. the planes will be 1061.323 miles apart.

To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We can find the value of k by substituting the given values into the equation. Once we have the value of k, we can write the direct variation equation that relates x and y. Finally, we can find the value of y for a given value of x by substituting it into the equation.

To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We are given that y = 15 when x = 6. To find k, we can substitute these values into the equation:

15 = k * 6

To find the value of k, we divide both sides by 6:

k = 15/6 = 2.5

Now we can write the direct variation equation that relates x and y:

y = 2.5x

To find the value of y when x = 7, we substitute x = 7 into the equation:

y = 2.5 * 7 = 17.5

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Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

TRUE

This is because when you distribute 1 thing between 2 (or more) things, it (in a way) simplifies the problem...

For Example:

solve for x

f(x) = 5*(x - 4)

The only way to solve a question like this would be to distribute the 5 to the x and to the 4...

So...

The answer is: TRUE

The angle measured by the hands of a clock at the given time at 5:00 will be 150°.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

We know that the hour hand will be on 5 and the minute hand will be on 12 at 5:00 o'clock.

Then the angle measured by the hands of a clock at the given time at 5:00 will be

⇒ (360° / 12) x 5

⇒ 30° x 5

⇒ 150°

The angle measured by the hands of a clock at the given time at 5:00 will be 150°.

More about the angled link is given below.

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The value of JK will be 16.

It is given that M is the midpoint of segment JK.

We have to find out the value of JK.

What will be the value of x , if 4x + 12 = 8x + 4 ?

The value of x will be 2.

As M is the midpoint of JK.

JK = MK + JM

So,

MK = JM

2x + 3 = 6x - 7

4x = 10

x =2.5

So ,

MK = 2x + 3 = 8

JM = 6x - 7 = 8

Hence ,

JK = MK + JM = 8 + 8

JK = 16

Thus , value of JK will be 16.

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y = k/x, where k is the constant
if x = 7 and y = 4
 4=k/7

k = 4*7 = 28
 

y = 28/x

 answer is D

Answer-

The coordinates of the endpoints of the side congruent to side JM will be,

(-2, -6) and (1, -5).

Solution-

When rotating a point 270° clockwise or 90° counter-clockwise around the origin, we apply the rule (x, y) → (-y, x).

The co-ordinates of the original parallelogram are,

J = (-6, 2)

M = (-5, -1)

L = (-3, 3)

K = (-4, 6)

After the rotation, the new co-ordinates will be,

J = (-2, -6)

M = (1, -5)

L = (-3, -3)

K = (-6, 4)

∴ The coordinates of the endpoints of the side congruent to side JM will be,

(-2, -6) and (1, -5).

The solution is (x, y) = (5, 16). My "work" is to make use of a graphing calculator.

_____

You can subtract the second equation from the first. This gives

... 0 = 3x -15

Then, divide by 3 and add 5.

... 0 = x - 5

... 5 = x

Substitute this value into either equation to find y.

... y = 2x +6

... y = 2·5 +6

... y = 16

The strategy to subtract the second equation from the first is based on the observation that both equations give expressions for y, and the x-coefficient in the first equation is the larger of the two x-coefficients. Thus, the subtraction we chose will eliminate y and give an x-term with a positive coefficient.