Identify which property off addition could be used to solve the following problem. Solve the problem and justify how using the property makes the problem easier to solve.


(5.9 + 3.2) + 1.8

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]

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.

A is the answer to this question

Answer:

Your answer is A.)

Answer:

52: 8-Z

54: 18+X

60: 12.3

64: 2.5

52: 8 subtracted from z, the equation will only be 8-z because we do not know what z is.

54: 18 more than a number, we do not know what the number is so we will name it X, more than is adding, so the equation will look like this, 18+X

60: Since y is 6.7, all you have to do is subtract 19-6.7.

64: Since n is 7.5 just divide 7.5 from 3 and you will get 2.5.

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:

[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:

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:

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 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:

C. two lines are perpendicular

hope this helps :)

Answer:

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.

Both are increasing.

Step-by-step explanation:

Compare the lines by finding the slope between each pair of points.

Using the slope formula, substitute the points.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{6-0} = \frac{2}{6} = \frac{1}{3}[/tex]

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{5-2} = \frac{6}{3} = 2[/tex]

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.

Answer:

To see all the points that lie on the equation

h(x) = 3*x^2

We use a graphing calculator, to plot the function h(x)

Please see attached image for more information.

We can see in red all the points  that lie on the function. There are an infinite number of points in it.

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:  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:

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

To find the surface area of the sphere, we can use the formula Surface Area = 4πr². By substituting the given volume value into the volume formula and solving for r, we find that the radius of the sphere is 3 inches. Substituting this radius value into the surface area formula, we find that the surface area is 36π square inches.

To find the surface area of a sphere, we can use the formula:

Surface Area = 4πr2

Given that the volume of the sphere is 324 in3, we can use the volume formula to find the radius:

Volume = (4/3)πr3

By substituting the volume value (324) into the volume formula and solving for r, we find that the radius of the sphere is 3 inches. Now, we can substitute this radius value into the surface area formula to find the surface area:

Surface Area = 4π(3)2

Calculating this expression, we get a surface area of 36π square inches.

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:

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

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!

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

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:

The answer is 300,000.

Step-by-step explanation:

Hundred thousand would be one hundred (100) and a thousand, which is three zeroes. So we put three zeroes after 100 and we get 100,000. So in this case we're rounding to 300,000.

The answer is:   300,000

Hundred thousand is the natural number which follows 99,999 and 100,001.

Hence, the number is given by: 100,000.

Hence, when we round any number to the hundred thousand then there  must be 5 zeros in the number.

i.e. the number 340,413  rounding to the nearest hundred thousand is given by:  300000

( Since the first digit i.e. 3 is at the hundred thousand place and all the number that precedes this place is converted to 0 )

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.

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.

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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:

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:

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

The graph and solution are given in attached image

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