The two prism below are similar what is the value of x

Answer:

The correct answer option is c.  $8.05.

Step-by-step explanation:

We are given that a lawnmower costs $284, and the six-year extended warranty on the lawnmower costs 17% as much as the lawnmower itself.

We are to find its effective price per year of the extended warranty.

So, the amount of six year warranty = [tex] \frac { 17 } { 100 } \times 284 [/tex] = $48.28

Price of warranty per year = [tex] \frac { 48.28 } { 6 } [/tex] = $8.05

Answer:

The answer is C on edge 2020.

Step-by-step explanation:

Answer:

Area_shaded  = 2543.742 ft^2

Step-by-step explanation:

First we find the area of the external triangle

A_triangle = base*height*0.5

A_triangle = (92 ft)*(84 ft)*0.5 = 3864 ft^2

Then we find the area of the pool (circle)

A_circle = pi*radius^2

A_circle = 3.1416*(20.5 ft)^2 = 1320.257 ft^2

The area of the shaded region

Area_shaded = A_triangle - A_circle

Area_shaded  = 3864 ft^2 - 1320.257 ft^2 = 2543.742 ft^2

Answer:

b. T <7,-2> (RSTU); (2,-1)

Step-by-step explanation:

The given triangle has vertices R(-5, -5), S(-1,-5), T(-1,1) and U(-5,1).

Let the translation rule be T(a,b).

Then the mapping for the translation will be;

[tex](x,y)\to (x+a,y+b)[/tex]

Then the point R(-5,-5) has the image;

[tex]R(-5,-5)\to R'(-5+a,-5+b)=R'(2,-7)[/tex]

This implies that;

[tex]-5+a=2[/tex]

[tex]\Rightarrowa=2+5=7[/tex]

and

[tex]-5+b=-7[/tex]

[tex]\Rightarrow b=-7+5[/tex]

[tex]\Rightarrow b=-2[/tex]

Therefore the translation rule is T(7,-2)

Hence;

[tex]U(-5,1)\to U'(-5+7,1-2)=U'(2,-1)[/tex]

the correct choice is B.

yes, please coffee would be nice today.

Answer:

Yes I would love some coffee, that is the answer!

Step-by-step explanation:

The graph and solution are given in attached image

For a ratio make a fraction using the quantities of the colors.

You want the ratio of red to purple.

There are 16 red and 2 purple, so the ratio would be 16/2, which can be reduced to 8/1

41 cents per pound

12/4.92=0.41

For this case we have to:

12 pounds of potatoes equals $ 4.92. You want to know the unit cost, that is, the cost per pound of potatoes.

For this, we make a rule of three:

12lb -----------------> $ 4.92

1lb --------------------> x

Where the varibale "x" determines the cost per pound of potatoe

[tex]x = \frac {1 * 4.92} {12}\\x = 0.41[/tex]

Thus, each pound of potatoe costs $ 0.41

Answer:

Each pound of potatoe costs $ 0.41

Answer:

20

Step-by-step explanation:

find the upper quartile(44), and the lower quartile(24) and subtract them to get the IQR

Ok so you have to replace all x by 4:

F(4)= 4.4+7= 23

Replace all x with 4

f(4)= 4*4+7

f(4)=16 +7

=23

Answer:

The "3y" in the first term is a factor

The "9" in the second term is a coefficient

The "(7 + 2x)" in the first term is a factor

Step-by-step explanation:

Given in the question an expression

3y(7 + 2x) + 9xy - 10

6y

6 is coefficient

    2.Constants are terms without variables

 10

    3.The factors in a mathematical expression are parts of the expression that are connected with multiplication.

(4x+1)(3x+7)

(4x+1) and (3x+7) both are factors

Answer:

D. 1,248 cubic units

Step-by-step explanation:

the formula for the volume of a rectangular prism is length *width*height. the length=12, width=8 and height equals 13 sooo 12*8*13= 1248

Hope this helps!!

Answer:

D

Step-by-step explanation:

An exponential function which crosses through (1,3) and (2,9) will have a base of 3 since the y values are multiples of 3.

3^1 = 3

3^2 = 9

This means that the function is y = 3^x.

y = 3x

Substitute the two points into the equation y = abx, giving 3 = ab1 and 9 = ab2.

Since a = a, then  

3

b1

=  

9

b2

, rearranged yields 3b2 = 9b1 → 3b2 − 9b = 0 → b(3b − 9) = 0

Thus, b = 0 or b = 3.

A curve of exponential function never drop below the x-axis, ignore any values of b that are less than or equal to zero.

Therefore, insert b = 3 into  

3

b1

= a and  

9

b2

= a → a = 1 for both equations.

y = abx

y = (1)(3x)

y = 3x

Answer:

Step-by-step explanation:

Angles inside a quadrilatril add up to 360°.

Opposite angles in a cyclic quadrailtaril (a quadrilateral with every corner touching the circle) add up to 180°.

A + B+ C + D = 360°

A + C = 180°

B + D = 180°

(x + 6) + B + (x - 2) + (x - 10) = 360

(x + 6) + (x - 2) = 180

Simplify:

(x + x) + (6 - 2) = 2x + 4 = 180

Solve to find x:

2x + 4 = 180

2x = 180 - 4

2x = 176

x = 88°

Substitute it in to check it's right.

(x + 6) + (x - 2) = 180

(88 + 6) + (88 - 2) = 180

94 + 86 = 180

Substitute this into the other equation to find B:

(x + 6) + B + (x - 2) + (x - 10) = 360°

(88 + 6) + B + (88 - 2) + (88 - 10) = 360°

94 + B + 86 + 78 = 360°

Rearrange to find B:

B = 360 - 94 - 86 - 78

B = 102°

A = 94°

B = 102°

C = 86°

D = 78°

Answer:

A = 94°

B = 102°

C = 86°

D = 78°

Step-by-step explanation:

C, the higher a negative is, the lower its value gets

It is C because -2.05 is really -2.050 which is less then -2.047

Answer:

[tex]m<JKL=38\°[/tex]

Step-by-step explanation:

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

In this problem

[tex]m<JKL=\frac{1}{2}(arc\ ML-arc\ MN)[/tex]

substitute the values

[tex]m<JKL=\frac{1}{2}(138\°-62\°)[/tex]

[tex]m<JKL=\frac{1}{2}(76\°)[/tex]

[tex]m<JKL=38\°[/tex]

Answer: jkl=38°

Step-by-step explanation:

Answer:  x³

Step-by-step explanation:

[tex]\sqrt[n]{x^{3n}}=x^{\frac{3n}{n}}=x^3[/tex]

Note: There is no radical expression, only an exponential expression.

Answer:

For the first one is 340.

Step-by-step explanation:

The SA formula is SA = s^2 + 2 × s × l

so 10^2+2*10*12=340.

Answer:

Step-by-step explanation:

Function: A special relationship where each input has a single output.

#1 It's a function:

Jan → 150

Feb → 400

March → 430

#2 It's not a function:

Jan → 150

Feb → 400

March → 400 and March → 430 (two values for March)

#3 It's a function:

Jan → 150

Feb → 150

March → 400

#4 It's a function:

Jan → 400

Feb → 400

March → 400

The 2nd choice is not a function. Hope this helps you out!

Answer:

f(x) = x² - 1

f(f(x)) = f(x² - 1) = (x² - 1)² - 1

= x⁴ - 4x² + 1 - 1

= x⁴ - 4x²

f(f(0)) = 0

Answer:

The first choice

Step-by-step explanation:

it is mostly saying you will be testing multiple students or just predicting either way it will be experimental meaning there likely are outliers. however the question is not super clear so this could always be wrong but i hope i helped u

Answer:

just add all the side which equals 27 feet

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Because the perimiter is just the outside, we are only adding to find the answer.

hope this helps

Answer:

The probability that a student attended the game, given that the student is from North Beach will be: 0.55

Step-by-step explanation:

Given data,

Number of North Beach students who attended the game = n1 = 110

Number of North Beach students who did not attend the game = n2 = 90

Total number of students = n1 + n2

=> 110 + 90

=> 200

The probability that a student attended the game, given that the student is from North Beach will be:

probability of students attended the game of North Beach/ probability of total students attended

=> n1/n

= 110 / 200

= 0.55

Therefore, the probability that a student attended the game, given that the student is from North Beach will be: 0.55

Answer:

0.55

Step-by-step explanation:

To find the full class size, since Yuet's class has 4 people (25% of the full), divide 4 by 0.25 to get 16. Therefore, a full class has 16 people.

To find out how many people are in a full gymnastics class, we can use the given information that Yuet's class, with 4 people, is 25% full.

Let's represent the number of people in a full class as ( x ).

We know that the number of people in Yuet's class is 25% of the full class. Mathematically, this can be expressed as:

[tex]\[\frac{4}{x} = 0.25\][/tex]

To solve for ( x ), we can multiply both sides by ( x ):

[tex]\[4 = 0.25x\][/tex]

Then, to isolate ( x ), we divide both sides by 0.25:

[tex]\[x = \frac{4}{0.25}\][/tex]

Now, let's calculate:

[tex]\[x = \frac{4}{0.25} = 16\][/tex]

So, a full gymnastics class would have 16 people.

Answer:

336

Step-by-step explanation:

Answer: x - 9

Step-by-step explanation: Collect like terms.

(3x + 8x - 10x) + (16 + 3 - 28)

Answer:

[tex]\boxed{\bold{x-9}}[/tex]

Step-by-step explanation:

[ Step One ] Group Like Terms

[tex]\bold{3x+8x-10x+16+3-28}[/tex]

[ Step Two ] Combine Similar Elements: [tex]\bold{3x+8x-10x=x}[/tex]

[tex]\bold{x+16+3-28}[/tex]

[ Step Three ] Add / Subtract: [tex]\bold{16+3-28=-9}[/tex]

[tex]\bold{x-9}[/tex]

➤  [tex]\boxed{\bold{Mordancy}}[/tex]

Answer:

The number of candles each girl needs to sell so that the total amount raised is the same for both is

Hailey 70 candles

Kacie  40 candles

Step-by-step explanation:

Let

x------> the number of candles sold

y----> total amount raised          

we know that

Hailey's equation

[tex]y=4x+160[/tex] -----> equation A

Please note that Hailey has already raised $160, so he has sold 40 candles.

Kacie's equation

[tex]y=7x+70[/tex] -----> equation B

Please note that Kacie has already raised $70, so he has sold 10 candles.

equate equation A and equation B solve for x

[tex]4x+160=7x+70[/tex]

[tex]7x-4x=160-70[/tex]

[tex]3x=90[/tex]

[tex]x=30\ candles [/tex]

The number of candles each girl needs to sell so that the total amount raised is the same for both is

Hailey

  40+30=70 candles

Kacie

  10+30=40 candles

Answer: C. 4c+160=7c+70

Step-by-step explanation:

If I were you I would also put the answer choices

inverse proportionality between 2 variables follows this .

y = k/x

where k is proportional constant

as value of one variable increases/decreases , value of other variable decreases/increases

so

if x increases, y will decrease

if x decreases , y will increase

The mean of the data set is calculated to be 4.05, the median is 2, and there are two modes. The error in the box and whisker plot is that the lower whisker extends below the minimum value. The second quartile has the largest range, and the correct statement is that 75% of the days had 7 or more parts per million of pollution.

A. To calculate the mean, median, and mode of the data, we first need to arrange the data in increasing order. The stem and leaf plot represents the following data: 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 5, 6, 7, 7, 8, 9, 9.

The mean can be calculated by summing up all the data points and dividing it by the total number of data points. In this case, we have 20 data points, so the sum is 81. The mean is then 81/20 = 4.05.

The median is the middle value of the data set when arranged in increasing order. In this case, the middle value is the 10th value, which is 2.

The mode is the value that appears most frequently in the data set. In this case, both 0 and 3 appear 5 times, so the data set has two modes.

B. The error in the box and whisker plot is that the lower whisker extends below the minimum value in the data set. The correct plot should have the lower whisker ending at the minimum value.

C. The quartile with the largest range is the second quartile, which is the median. The range of the second quartile is the difference between the maximum and minimum values in the data set.

D. The correct statement is: '75% of the days had 7 or more parts per million of pollution.' This statement is true because the 75th percentile corresponds to the value 7 in this data set.

https://brainly.com/question/12082617

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Final answer:

The mean, median, and mode are statistical measures calculated from the given data points. For part B, we cannot provide corrections to the box and whisker plot without seeing it. The quartile with the largest range is determined by comparing quartile differences, and the statement about 75% of days with values ≥ 20 ppm is false because more than 25% of the values are below 20 ppm.

Explanation:

To calculate the mean, median and mode of Stephen's two-week air pollution data from the stem and leaf plot:

Convert the stem and leaf plot to a data set:

5, 7, 9, 12, 12, 16, 17, 20, 24, 28, 31, 32, 35, 39

Calculate the mean (average) by adding all the numbers together and dividing by the number of data points.

Find the median by ordering the data from least to greatest and finding the middle value (or the average of the two middle values if there is an even number of data points).

Determine the mode by identifying the value(s) that appear most frequently.

For part B, without the provided box and whisker plot, we cannot determine the error or provide the correct answer.

For part C, to identify which quartile has the largest range, we need to calculate the quartiles (Q1, Q2, Q3), and then compare the differences between them: Q1 to Q2, Q2 to Q3, and Q3 to the maximum value.

For part D, the statement “75% of the days had 20 or more parts per million of pollution” is false because:

Not all values are above 20 ppm. From the data, we can calculate that more than 25% of the values are below 20 ppm, thereby making the statement incorrect.

Correct Statement: Less than 75% of the days had 20 or more parts per million of pollution.

Answer:

15 years

Step-by-step explanation:

Let e represent Edith's age.  Then e also represents her brother's age.

Then:

e = 5e - 60.

Consolidating the e terms, we get 60 = 4e.  Thus, e = 15.

Edith is 15 years old.  So is her brother.

Edith is 15 years old and so is her twin brother. Hope this helps!