On Monday, Ken spent half of his money on a new game. The next day he earned $12 mowing lawns. He now has $32. How much money did Ken have before bought the game

Answer:

D

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{ST}{YZ}[/tex] = [tex]\frac{RS}{XY}[/tex] , substitute values

[tex]\frac{8}{16}[/tex] = [tex]\frac{2}{XY}[/tex] ( cross-  multiply )

8XY = 32 ( divide both sides by 8 )

XY = 4 feet → D

Answer:

D

Step-by-step explanation:

These are transformations. One thing to remember is that only a sign change (like a negative sign on the new function) will change the direction in which the parabola opens.

Here, going from f(x) to 1/2 * f(x) has no sign change, so the parabola will open in the same direction as before. Eliminate A and C.

Vertical transformations are those that are done to the entire function, as opposed to horizontal transformations which are done only on the x. Here, since we're multiplying 1/2 to f(x), we have a vertical transformation.

There are different transformations. The one here would be a vertical shrink by a factor of 1/2. Vertically shrinking a function is basically the same as compressing it, which would make it wider.

The answer is thus D.

Answer:

Last one:

The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

g(x) = ½f(x)

g(x) is obtained by a vertical stretch of f(x) by factor ½ (compression)

g(x) would look like f(x), would just be wider

Answer:

55, because the the angle where line k and mine intersect is 55 and they are coresponding angles.

Step-by-step explanation:

Answer:

9.425cm

Step-by-step explanation:

The formula for the circumference of a circle is :[tex]\pi *diameter[/tex]

To work this out you would simply multiply the diameter of 3 cm by pi, which gives you 9.425.

1) Multiply pi by 3.

[tex]\pi *3=9.425[/tex]

The radius is half of the diameter.

The answer has been rounded to 3 decimal places.

Answer:

169.6460032938488

Step-by-step explanation:

The formula for the volume of a cylinder is pi Times r^2 times height, so you plug in 3 for r and 6 for h (height) and multiply

Answer:

i think D or B is the answer

Step-by-step explanation:

Answer:

B. 1 x-intercept

Step-by-step explanation:

We can use the discriminant expression, b²- 4ac, to answer this question.

In the equation y = 3x² + 6x + 3 we know that,

3 = a-value

6 = b-value

3 = c-value

Using this information, we can plug these numbers into the discriminant expression to find the discriminant.

6² - 4(3)(3) = 0

Because the value is equal to 0, we know there is 1 real solution and therefore there is 1 x-intercept.

Answer:

should be 489.13

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because if you were to do dots in a triangle shape they would fit (i don’t know if the makes any sense)

Answer:

A. 1, 3, 6, 10, 15,21

Step-by-step explanation:

they added 1 every time it continues

Answer:

Segment CD

Step-by-step explanation:

The altitude of a triangle is a straight line that passes through the vertex and forms a right angle. In this case, the only segment that fulfills these requirements is Segment CD.

Answer:

5.4 laps

Step-by-step explanation:

One lap = 5/6 miles

= 0.833miles (approximately)

If 0.833 miles = 1 lap

4.5 miles = ?

4.5/0.833 = 5.4 laps

Final answer:

To find the number of laps the track team ran, divide the total distance by the length of each lap. In this case, the team ran approximately 5.4 laps.

Explanation:

To find the number of laps the track team ran, we need to divide the total distance they ran by the length of each lap. The total distance they ran is 4 1/2 miles, which can be written as 9/2 miles. Each lap is 5/6 miles long.

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. So, to find the number of laps, we can multiply 9/2 by the reciprocal of 5/6: (9/2) x (6/5) = 54/10 = 5.4.

Therefore, the track team ran approximately 5.4 laps.

Answer:

The base would be 8 if the height is five

Step-by-step explanation:

Please next time show the height

Answer:

It would be a cone I think

Step-by-step explanation:

Answer:

a) 125.86 feet

b) 321.68 feet

c) 195.82 feet

Step-by-step explanation:

a)

To find the distance from the friend to the build, we just need to use the tangent relation of his angle. The opposite side is the height of the building and the adjacent side is his distance to the building:

tangent(50) = height / distance

1.1918 = 150 / distance

distance = 150 / 1.1918 = 125.86 feet

b)

Similarly to letter a), we can use the tangent relation of the zombie's angle, where the opposite side is the height of the building and the adjacent side is his distance to the building:

tangent(25) = height / distance

0.4663 = 150 / distance

distance = 150 / 0.4663 = 321.68 feet

c)

To find the distance from the zombie to the friend, we just need to subtract the two distances:

Distance = 321.68 - 125.86 = 195.82 feet

Tthe correct answer is:

A) [tex]\( s = 0.2(380) \)[/tex]

To determine the amount of money saved when purchasing the desk on sale, you first need to find the original price of the desk before the discount.

Let's denote the original price of the desk as [tex]\( P \)[/tex].

Since the desk is on sale for 20% off, the sale price [tex]\( S \)[/tex] can be calculated as:

[tex]S=P-0.20\times P=0.80\times P[/tex]

Where:

- [tex]\( P - 0.20 \times P \)[/tex] represents the original price minus 20% of the original price.

-[tex]\( 0.80 \times P \)[/tex] represents 80% of the original price.

Now, to find the amount saved [tex](\( s \))[/tex], it's the difference between the original price [tex](\( P \))[/tex] and the sale price [tex](\( S \))[/tex]:

[tex]\[ s = P - S \][/tex]

Substituting the expression for [tex]\( S \)[/tex]:

[tex]\[ s = P - 0.80 \times P = 0.20 \times P \][/tex]

So, the equation that can be used to determine the amount of money saved, [tex]\( s \)[/tex], in dollars, when purchasing this desk on sale is:

[tex]\[ s = 0.20 \times P \][/tex]

Complete correct question:

A desk is on sale for $380, which is 20% off the original price. Which equation can be used to determine the

amount of money saved, s, in dollars, when purchasing this desk on sale?

A [tex]s= 0.2(380)[/tex]

B [tex]s= (380 = 0.8) - 380[/tex]

C [tex]s= (380 = 0.5) - 380[/tex]

D [tex]8 = (380 = 0.8)[/tex]

The equation that can be used to determine the amount of money saved when purchasing this desk on sale is:

[tex]\[ {\text{D) } s = (380 \times 0.8) - 380} \][/tex]

Hence the correct option is d.

To determine the amount of money saved (s) when purchasing the desk on sale, we need to calculate 20% of the original price.

The original price of the desk can be represented by x, and the sale price is $380.

We know that the sale price is 20% off the original price, so the equation representing the sale price is:

[tex]\[ \text{Sale price} = \text{Original price} - \text{Discount} \]\[ 380 = x - 0.2x \]\[ 380 = 0.8x \][/tex]

To find the amount saved, we subtract the sale price from the original price:

[tex]\[ s = x - 380 \]Now, let's solve for \( s \):\[ s = 0.8x - 380 \][/tex]

So, the equation that can be used to determine the amount of money saved when purchasing this desk on sale is:

[tex]\[ {\text{D) } s = (380 \times 0.8) - 380} \][/tex]

Hence the correct option is d.

Answer:

x=-7 and y=-12

Step-by-step explanation:

Answer:

(5,-2) or y=3(x-5)^2 -2

Step-by-step explanation:

Cone and cylinder are two of the objects shown below could we slice diagonal to their bases/faces to create an ellipse cross-section.

The asymmetrical oval shape is drawn by a spot advancing along a plane so that the sum of its distance from foci is kept the same, known as an ellipse.

A circle is created by cutting at a right angle to the axis. An ellipse is created by cutting at an angle that is more than the angle created by the side of the cone but less than the right angle to the axis.

Every plane that a circular cylinder cross is at a straight angle to its axis. The cylinder is intersected in a curve that resembles an ellipse by a plane that is neither parallel to nor at right angles to the axis.

Hence, cone and cylinder are two of the objects shown below could we slice diagonal to their bases/faces to create an ellipse cross-section.

To learn more about the ellipse, refer to the link: https://brainly.com/question/19507943.

#SPJ2

Answer:

The answer would be 9

Step-by-step explanation:

Step 1: Our output value is 30.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$30=100\%$.

Step 4: Similarly, $x=30\%$.

Step 5: This results in a pair of simple equations:

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

Step 7: Again, the reciprocal of both sides gives

Therefore, 30% of 30 is 9

Answer:

30%of 30 is 9

Step-by-step explanation:

first you change 30% into a decimal (.30) by moving the decimal over to the left two times.

next you multiply 30* .30 ( i recommend you multiply it like this 30.00)

                                                                                                              .30                                                                                                      

next your first answer should be 900.00 . when you get this answer move the decimal over to the left two time again and your answer look like 9.0000

which is 9 as your final answer :).

Answer:

y = 2/-3 x

Step-by-step explanation:

Since it passes through the origin we have two other points which are (0,0)

In this case we can solve for the slope by finding the change in y and change in x

0 - -2 / 0 - 3 =

2/-3

so y = 2/-3 x

Answer:

1.6 is the answer

Hope this helped!

The requried mean absolute deviation is given as 1.625.

The statistic is the study of mathematics which deal with relations between comprehensive data.

Here,
Average of the given number = 25 + 23 + 23 + 24 + 25 + 26 + 27 +27 / 8
                                              = 197 / 8
Average = 24.625

mean absolute deviation (MAD) = 1/n ∑[xi - average]

mean absolute deviation (MAD) = [|22 - 24.625| + |23 - 24.625|+|23 - 24.625|+|24 - 24.625|+|25 - 24.625|+|26 - 24.625|+|27 - 24.625|+|27 - 24.625|]/8

mean absolute deviation (MAD)  = [2.625+1.625+1.625+0.625+0.375+1.375+2.375+2.375]/8

mean absolute deviation (MAD) = 13 / 8 = 1.625

Thus, the requried mean absolute deviation is given as 1.625.

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ5

Answer:

Step-by-step explanation:

The graph of y=|x-k|+h is the graph of y=|x| shifted k units to the right and h units up. To reflect the equation across the x-axis (flip it upside down), the equation changes to [tex]y=-|x|[/tex].

Hope this helps!

Answer:

|x-1|

Step-by-step explanation:

Answer:

It is already in exact form but in decimal form it is -0.19562887

Enjoy your night :)

Answer:

D. cannot be simplified

So,the right answer is 3.

Look at the attached picture

Hope it will help you

The value of x is 36°.

Given Information:

  - The angle at the top of the star is labeled [tex]\(72^\circ\).[/tex]

  - There is an angle labeled BFC on line AFC.

Angle Sum Property:

  - The sum of the angles formed on a line is [tex]\(180^\circ\).[/tex]

Equation Setup:

  - The angles BFC and [tex]\(72^\circ\)[/tex] are part of the line AFC.

  - So, [tex]\(BFC + 72^\circ = 180^\circ\).[/tex]

Isolate the Unknown Angle:

  - Subtract [tex]\(72^\circ\)[/tex] from both sides of the equation:

[tex]\[BFC = 180^\circ - 72^\circ\].[/tex]

Expression for BFC:

  - Simplify the expression to find the measure of BFC:

[tex]\[BFC = 108^\circ\].[/tex]

6. Variable x:

  - The angle BFC is expressed in terms of x: BFC = 3x.

Equation Setup for x:

  - Set 3x equal to the known value of BFC:

[tex]\[3x = 108^\circ\].[/tex]

Solve for x:

  - Divide both sides by 3:

[tex]\[x = \frac{108^\circ}{3} = 36^\circ\].[/tex]

Therefore, the value of [tex]\(x\) is \(36^\circ\).[/tex]

Answer:

the additive inverse of 1 is 1 because 1+1=0 and the multiplicative inverse of 1 is 1.

Step-by-step explanation:

Answer:

multiplicative inverse 1 is 1

Step-by-step explanation:

(happy to help!!!)

To calculate the length of CD, additional information about the geometric figure is necessary. Meanwhile, for operations like addition or subtraction, results should be rounded to the same number of decimal places as the number with the least decimal places.

The student's question seems to refer to the relationship between angles in a geometric figure and determining the length of a side, specifically the length of CD, within that figure. However, to provide a correct and precise length of CD, more information from the geometric figure or additional conditions are required, such as side lengths or other angle measurements. As the question stands, it lacks sufficient data to calculate the length of CD.

Regarding rounding, in general when you are performing mathematical operations like addition or subtraction, the result should be rounded to the same number of decimal places as the number with the least number of decimal places. For example, if you were to add 5.123 to 2.5, the result should be rounded to one decimal place, since 2.5 has only one decimal place. The correct sum would be 7.6.

We have been given a graph of a board. We are asked to find the probability that dart will hit in region II.

The probability that dart will hit the region II will area of region II over area of board.

Let us find area of region II. We can see that one side of region II is 35 and other is 20.

[tex]\text{Area of Region II}=35\times 20[/tex]

[tex]\text{Area of Region II}=700[/tex]

Length of board would be [tex]35+15=50[/tex]

Width of board would be [tex]20+8=28[/tex]

[tex]\text{Area of board}=50\times 28[/tex]

[tex]\text{Area of board}=1400[/tex]

[tex]\text{Probability that dart will land in region II}=\frac{700}{1400}[/tex]

[tex]\text{Probability that dart will land in region II}=\frac{1}{2}[/tex]

[tex]\text{Probability that dart will land in region II}=0.5[/tex]

Therefore, the probability that dart will land in region II is 0.5.

Answer:

C. 3,386,880 yd^3

Step-by-step explanation:

Answer:

c

Step-by-step explanation: