Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?

The only option that is not a compound event is; (2) pulling a king out of a deck of cards

Compound probability is defined as a mathematical term that relates to the likeliness of two independent events occurring.

Thus, a simple event has only one outcome while  a compound event involves the probability of more than one outcome

1) For a coin to land on heads three consecutive times means that there can only be three possible independent outcome  and so this is a compound event.

2) Pulling a king out of a deck of cards is a simple event and not compound because it has only one outcome.

3) This is a compound event because we are dealing with two independent probabilities.

4) This is a compound event because we are dealing with two independent events which are true or false answers.

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The solution of given algebra question is-The number of candies in each box is 12.

In algebra, the fundamental concepts are numbers, parameters, constants, expressions, coefficients, linear equations, and quadratic equations. Additionally, it requires adding, subtracting, multiplying, and dividing basic arithmetic operations within the algebraic formulas.

Multiplication and division tasks should be completed first from left to right, followed by addition and subtraction tasks from left to right.

Let the number of candies in the box be x

Total candies with Josh=5x+15

Total candies with Diego=6x+3

Since, they have same number of candies,

Hence,

5x+15=6x+3

6x-5x=15-3

x=12

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The linear equation can be written in point-slope form as:

y + 7 = (3/8)*(x - 15.2)

So the correct option is A.

A linear equation with a slope M and a known point (h, k), can be written in the point-slope form as:

y - k = m*(x - h)

Here we know that the slope of the line is 3/8, then we get:

y - k = (3/8)*(x - h)

And we also know that this line must pass through the point (15.2, -7), then we know that:

h = 15.2

k = -7

Replacing these values we get:

y + 7 = (3/8)*(x - 15.2)

Thus the correct option is the first one, A.

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Comparing the parabola's equation to the formula [tex]y = ax^2 + bx + c[/tex] in standard form is the first step. In step 2 Apply the formula h = -b/2a to find the vertex's x-coordinate. In step 3 Substitute x = h in the expression [tex]y = ax^2 + bx + c[/tex]  to obtain the vertex's y-coordinate (k).

The equation of the parabola's axis of symmetry is the vertex's x-coordinate. The axis of symmetry for a quadratic function in standard form, [tex]y = ax^2 + bx + c[/tex] is a vertical line, [tex]x=b^2a[/tex].

The intersection of two lines or rays that create an angle is known as the vertex of the angle.

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On solving the provided question, we can say that - he re the slope value is using the formula y/x = k => [tex]k = 2/3[/tex]

A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

Use the point (3, 2) and divide y by x using the formula y/x = k.

[tex]k = 2/3[/tex]

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20% of 80 is 16 and 15% of 30 is 4.5, so the sum is 16 + 4.5 = 20.5.

Step-by-step explanation:

x + 6y = 8 ........... ( ×2 ) ....... ( 1 )

2x + 4y = -8 ......... ( × 1 ) ....... ( 2 )

2x + 12y = 16

- - -

2x + 4y = -8

+12y - ( +4y ) = 16 - 8

12y - 4y = 8

8y = 8

divide both sides by the coefficient of y ( 8 )

8y / 8 = 8 / 8

y = 1

substitute for x in equation ( 1 )

x + 6y = 8

x + 6 ( 1 ) = 8

x + 6 = 8

x = 8 - 6

x = 2

x = 2 , y = 1

Reason:

There are 6 sides to the number cube. It gives 6*6*6 = 216 ways to roll three such dice. Only one of those ways has the sequence "1,1,1" that we're after. Therefore, the probability is 1/216.

It roughly approximates to 0.0046296; which is about a 0.46% chance of happening.

This all assumes that each side is equally likely. The answer will be different if the die is loaded in some fashion.

Answer:

3/20

Step-by-step explanation:

[tex]\frac{0.3}{2}=\frac{0.3*10}{2*10}=\frac{3}{20}[/tex]

The point of intersection is (–3.5, 0.5) when the system of equations below is graphed on the coordinate plane.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The system of equations below

-x + y = 4,

6x + y = -3

As per the given question, the required graph has been attached below.

The point of intersection when the system of equations is graphed on the coordinate plane is (–3.5, 0.5).

This is the point where the two lines cross each other.

Hence, the correct answer would be an option (D).

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The question seems to be incomplete the correct question would be:

What is the point of intersection when the system of equations below is graphed on the coordinate plane? -x+y=4, 6x+y= -3

A. (1, –3)

B. (–1, 3)

C. (1, 3)

D. (–3.5, 0.5)

The person who is right on the dealership that pays a higher commission, is Tyson because Dealership A pays the higher commission.

The commission paid on Dealership A cars can be found by the formula :

= ( Monthly income for 4 cars - Monthly income for 1 car ) / Difference in number of cars

= ( 3, 850 - 1, 900 ) / ( 4 - 1 )

= $ 650

The commission paid on Dealership B cars would be:

= ( Monthly income for 4 cars - Monthly income for 1 car ) / Difference in number of cars

= ( 3, 500 - 2, 000 ) / ( 4 - 1 )

= 1, 500 / 3

= $ 500

Dealership A pays the higher commission.

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Answer:

Step-by-step explanation:

Answer:

Option A) [tex]3\frac {1}{2}[/tex]

Step-by-step explanation:

In order to find the diameter you need to multiply the radius x 2

Over here the radius is given as 7/4cm

But the diameter is

[tex]\frac{7}{4} X\frac{2}{1}[/tex] = [tex]\frac{7}{2}[/tex]

And when we simply the mixed fractions we only get one possible answer

which is [tex]3\frac{1}{2} = \frac{7}{2}[/tex] Option A)

Answer:

See below

Step-by-step explanation:

Because it's an inequality, the upside-down parabola has dashed lines instead of a sold line. Additionally, only one side of that parabola will contain the solution set, which we can easily figure out by testing a point like (0,0):

[tex]0\stackrel{?}{ > }-3(0)^2-30(0)-48\\0\stackrel{?}{ > }-48\\\\0 > -48 \text{ is true}[/tex]

Hence, the side that contains (0,0) gets shaded. See the graph below.

Answer: why do we even need math

Step-by-step explanation:

Answer:

very long question

Step-by-step explanation:

Answer:

The frequency is f = 1/T = 1/2 Hz.

Step-by-step explanation:

The frequency of a simple harmonic motion equation can be found by taking the inverse of the period. The period of a simple harmonic motion equation is the time it takes for the motion to repeat itself. In the equation d=2 sin(pi/3 t), the period is T = 2*(pi/3)/(pi/3) = 2 seconds. Therefore, the frequency is f = 1/T = 1/2 Hz.

Answer:1/6

Step-by-step explanation:

The values that are solutions to the inequality -3 < 2x -3 are all real numbers greater than 0.

Given the inequality in the question;

-3 < 2x -3

Solve for x, by making it the subject of the formula.

Subtract 2x from both sides

-3 < 2x -3

-3 - 2x < -3

Add 3 to both sides

-3 + 3 - 2x < -3 + 3

-2x < -3 + 3

-2x < -3 + 3

-2x < 0

Next, divide both sides by -2

-2x/-2 >  0/2

x > 0/2

x > 0

Therefore, the solution to the inequality is x > 0.

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Answer:

125.54%

Step-by-step explanation:

160.7/128 = 1.2554

1.2554 *100 = 125.54%

Answer: hi

Step-by-step explanation:

To apportion the 50 seats using Lowndes' method, you will need to follow these steps:

   Calculate the apportionment ratio for each county by dividing the population of the county by the total population of the state.

   Multiply the apportionment ratio for each county by the number of seats to be apportioned. This will give you the initial allocation of seats for each county.

   Distribute the remaining seats (if any) to the counties with the largest remainders (the difference between the initial allocation of seats and the whole number of seats). If there are multiple counties with the largest remainders, distribute the seats among these counties based on their remainders.

Here is the apportionment for the five counties using these steps:

County Population Apportionment Ratio Initial Allocation Seats Received

Adams 71,000 0.088 4.4 4

Grant 483,000 0.591 28.9 29

Colton 224,000 0.274 13.7 14

Davis 406,000 0.500 25.0 25

Hayes 444,000 0.547 27.4 27

Total 1,928,000 50 50

So using Lowndes' method, Adams County would receive 4 seats, Grant County would receive 29 seats, Colton County would receive 14 seats, Davis County would receive 25 seats, and Hayes County would receive 27 seats.

Answer:

0.3172 rounded to the nearest tenth would be 0.3.

This is because you would first look at the number in the tenths place which is 3.

Then you would look to the number to the right to determine if you would round up or down.

If the number in the hundredths place is bellow 5, the number would remain the same, and if it were above 5, it would round up by one number.

If the number were 5, you would look to the number in the thousandths place and then go from there.

Since the number in the hundredths place is 1, then you will ignore the other numbers to the right and, you would have a result of 0.3.

Step-by-step explanation:

Hope it helps! =D

Answer: 0.3171 rounded to the nearest tenth is 0.3.

Step-by-step explanation:

Follow these steps for rounding the decimal number 0.3171 to the nearest tenth (one decimal place):

Find the tenth digit, = 3 in the 0.3171. 

Find the digit immediately to the right of the tenth place. If this number is greater than or equal to 5, round up; otherwise, round down. 

= 1 in the 0.3171

Because 1 is less than 5, the tenth position digit 3 remains constant.

Remove all digits to the right of the rounding digit and rewrite the number.

As a result, 0.3171 rounded to the nearest tenth is 0.3.

So we're trying to find the equation of a line using the provided x and y values in the chart. We should start by finding the slope of the line, since that's easiest!

We know that the equation for slope is [tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

All we need to do is pick two points (two x and y coordinates) and respectively plug them into the equation! I want to note that it does not matter which two points you choose! You will always get the same slope!

Alright, so using the two points (-2, -17) and (0, 23) I'll calculate the slope!

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{23-(-17)}{0-(-2)}\\m=\frac{23+17}{0+2}\\m=\frac{40}{2}\\m=20[/tex]

(Just to prove that you can use any two points I'm going to do another example. The only thing you need to keep in mind is that y values are always on top and x values are always on the bottom! In this example I'm using (-6, -97) and (2,63)!)

[tex]m=\frac{63-(-97)}{2-(-6)}\\m=\frac{160}{8}\\m=20[/tex]

As we can see, no matter which points you use, it will always simplify to the same slope!

Now that we have the slope, we need to find the x and y intercepts! An x intercept is the point where y = 0 on the x-axis. A y intercept is the pint where x = 0 on the y-axis!

We already have a y intercept given to us, as you can see in the table there is a point (0, 23). This point is where x = 0! This will be our value next to the y in the equation. So so far, our equation looks like this:

[tex]y-23=20(x-x_1)[/tex]

And how do we know what the x intercept (x1) is? Well, we have a table full of values, so we can use those to plug in for y and x! I want to note again, you do not need to worry about which values you use! Just make sure you have your x and y straight and plug in whichever pair of coordinates you want! I will use the point (-2, -17).

[tex](-17)-23=20((-2)-x_1)\\-40=20(-2-x_1)\\-2=-2-x_1\\x_1=0[/tex]

So it looks like this line goes straight through the origin! If you want to confirm your findings, you can just use another point. This time I'll just use (2, 63)!

[tex](63)-23=20(2-x_1)\\40=20(2-x_1)\\2=2-x_1\\x_1=0[/tex]

This also makes sense to be our x-intercept value since if it was any other number, our y intercept would not be (0, 23) and the given values wouldn't be true anymore! (This is just another way to confirm that it's right!)

Therefore, our final equation is:

y - 23 = 20 (x - 0)

y = 20x + 23 (same answer, just in a different form)

Using the conversion between metric and U.S systems the value of 0.828oz is 2347.34 cg.

A system of measurements is called the metric system. It is employed in calculations and research across the globe. Some examples of metric system are distance in lengths, weights in grams, volume in milliliters and much more.

The conversion between ounces (oz) into centigram (cg) is given as follows:

1 oz = 2834.95

To convert 0.828 oz into centigram we need to multiply the value 0.828 oz with 2834.95 as follows:

(0.828) (2834.95)

2347.35

Hence the value of 0.828 oz is 2347.34 cg according to the conversion from metric to US system.

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Roller coaster B has greater top speed than roller coaster A.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Given,

speed of roller coaster A = 110ft./s

speed of roller coaster B = 85mph

1 mile = 5280 feet

⇒ 85 mile = 5280 × 85 = 448800 feet

1 hour = 3600 seconds

speed of roller coaster  B = 448800/3600 ft/s = 124.67 ft/s

comparing speed of both

Speed of roller coaster B > speed of roller coaster A

Hence roller coaster B has greater top speed.

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Answer:

The first chart.

Step-by-step explanation:

The first table. The chart gives a ratio of 1:4, which is the same as the amount the teenager made.

The total number of cookies that was made that day given that 55 which is 15% was burnt is 360.

We know that the number of burned cookies is 55, and that this represents 15% of the total production for the day.

We can use this information to set up a proportion to find the total number of cookies made that day.

Burned cookies / Total cookies = 15% / 100%

55 / X = 15/100

To find the total number of cookies made, we can cross-multiply and divide:

X = (55 * 100) / 15

X = 365

So, the bakery made a total of 365 cookies that day.

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The transformation of function y = |x| is g(x) = f(x + 4) + 2. The equation of transformed graph is y = |x + 4| - 2

What is a function?

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Given function is y = |x|.

The vertex is (0,0). The vertex of the transformed function is (-4,-2)

It means the graph is shifted 4 units left sides and 2 unit downward direction.

The graph of f(x) is horizontally shifted by a units on left side then the equation function becomes f(x + a).

The graph of f(x) is horizontally shifted by a units on right side then the equation function becomes f(x - a).

The graph of f(x) is vertically shifted by a units upward then the equation function becomes f(x)+a.

The graph of f(x) is vertically shifted by a unit downward then the equation function becomes f(x)-a.

The equation of the transformed equation is g(x) = f(x + 4) - 2

g(x) = |x + 4| -2

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The range of the function will be;

⇒ { 4, 2, 0, - 2, - 4 }

or, { - 4, - 2, 0, 2, 4 }

A relation between a set of inputs having one output each is called a function.

Given that;

The relation is,

⇒ (x, y) = (- 3, 4) , (- 2, 2), (- 1, 0), (0, - 2), (1, - 4)

Now,

Since, The relation is,

⇒ (x, y) = (- 3, 4) , (- 2, 2), (- 1, 0), (0, - 2), (1, - 4)

We know that;

The range of relation is the value of y.

Hence, The range of relation = { 4, 2, 0, - 2, - 4 }

Thus, The range of the function will be;

⇒ { - 4, - 2, 0, 2, 4 }

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