The sum of three consecutive odd integers is 153. What is the value of the largest of the integers?
Help me pls

The average of the other 3 numbers is 72.

Average or mean is a measure of central tendency which calculates the central point of a data-set.

Average of a set of numbers is calculated by taking the sum of the numbers and dividing it by the total frequency of the numbers.

If 3 numbers a , b and c are taken then the average is equal to

(a+b+c) ÷3

Given average of 5 numbers is 72.

Therefore the sum of the numbers is  72 × 5 = 360

Two of the numbers are 70 and 74 .

Sum of the remaining 3 numbers = 360 - (70 + 74) = 360 - 144 = 216

Average of the 3 numbers = 216 ÷ 3 = 72

Therefore the average of the remaining 3 numbers is 72.

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Answer:

241.5

Step-by-step explanation:

201.96+38.7+0.84

The independent variable: lengths of the sides

The dependent variable: the perimeter of a square,

K(5) = 20.

The dependent variable of a function is the output of a function that changes as a result of any change in the independent variable, which is the input of the function.

The input (independent variable) determines the output (dependent variable) of a function.

Therefore, we can make the following deductions:

The independent variable, x, represents lengths of the sides, and the dependent variable is the perimeter of a square, because the perimeter of the square depends on the length of the side of the square.

The function that relates to the variables is: K(x) = 4x

So, K(5) = 4(5) = 20.

This means, if 5 is the length of one of the sides of the square, then 20 is the perimeter of the square.

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We get that, the digit is in the 3rd place (hundreds).The difference between the numbers is 500.

We want to change the digit in the number 5,341 into 5,841.

We also need to find the difference between the numbers.

The number 3 is in the 3rd place (hundreds) of the number 5,341 as a digit will be replaced by 8  to form the number 5,841.

This means that 300 is replaced by 800 because the third place in both the numbers is of hundreds.

The difference between 800 and 300 is:

800 - 300 = 500.

Subtraction of 5,341 from 5,841 also yields 500.

Therefore, we get that, the digit is in the 3rd place (hundreds).The difference between the numbers is 500.

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Answer:

x = -7
x = -3

Step-by-step explanation:

Given the following question:

[tex]2\left|x+5\right|=4[/tex]

To find the answer to this question we have to remember to apply the absolute value. The absolute value means we have to convert any negative within the lines into positive.

[tex]2\left|x+5\right|=4[/tex]
[tex]\frac{2\left|x+5\right|}{2}=\frac{4}{2}[/tex]
[tex]\left|x+5\right|=2[/tex]
Apply absolute value:
[tex]x+5=-2[/tex]
[tex]x+5=2[/tex]
Solve each equation:
[tex]x+5=-2[/tex]
[tex]5-5=0[/tex]
[tex]-2-5=-7[/tex]
[tex]x=-7[/tex]
[tex]x+5=2[/tex]
[tex]5-5=0[/tex]
[tex]2-5=-3[/tex]
[tex]x=-3[/tex]


Your answers are "x = -3 and x = -7."

Hope this helps.

Answer:

x = -3

x= -7

Step-by-step explanation:

l x + 5 l = 4/2

(x + 5) = 2 or - (x + 5) = 2

- (x + 5) - 5 = 2 - 5

x = -3

- x - 5 = 2

- x - 5 + 5 = 2 + 5

-x = 7

x = -7

Answer:

[tex]d=1/2[/tex]

How to solve:

Step-by-step explanation:

[tex]\frac{5}{6}=\frac{1}{3}+d\\\frac{1}{3}+d=\frac{5}{6}[/tex]

Group

[tex]\frac{1}{3}+d=\frac{5}{6}\\\frac{1}{3}+d-\frac{1}{3}=\frac{5}{6}-\frac{1}{3}\\d+\frac{1}{3}+\frac{-1}{3}=\frac{5}{6}-\frac{1}{3}\\d+\frac{1-1}{3}=\frac{5}{6}-\frac{1}{3}\\d+\frac{0}{3}=\frac{5}{6}-\frac{1}{3}\\d+0=\frac{5}{6}-\frac{1}{3}\\d=\frac{5}{6}-\frac{1}{3}\\d=\frac{5}{6}+\frac{-1\cdot 2}{3\cdot 2}\\d=\frac{5}{6}+\frac{-1\cdot 2}{6}\\d=\frac{5}{6}+\frac{-2}{6}\\d=\frac{5-2}{6}\\d=\frac{3}{6}\\d=\frac{1\cdot 3}{2\cdot 3}\\d=\frac{1}{2}[/tex]

Hope it helps.

The two methods for estimation of the quotient of 538 divided by 96 is being explained.

We are given that:

538 ÷ 96

We need to estimate the quotient of 538 ÷ 96 by using two methods.

The first method can be that we first estimate the divisor and the dividend to the nearest tens and then perform the division.

538 will be rounded off to 540 and 96 will be rounded off to 100.

So, it becomes:

540 ÷ 100

= 5.4

This will again be rounded off to 5

= 5

The second method will be that we first perform the division and then round off.

538 ÷ 96 = 5.61

Rounding off, we will get:

= 6.

Therefore the two methods for estimation of the quotient of 538 divided by 96 is being explained.

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5 students took part in both individual and team events.

Data is information that has been translated into a form that is efficient for movement or processing. Relative to today's computers and transmission media, data is information converted into binary digital form. It is acceptable for data to be used as a singular subject or a plural subject.

Given:

Total students participated = 27

20 students participated in individual events

12 students took part in team events.

We have N(All students) = 27

N(individual) = 20

N(Team)= 12

So,

[tex]N_{\text{individual \; and \; team}} & = N_{\text{individual}} + N_{\text{team}} - N_{\text{All students}}[/tex]

=20+12-27

=32-27

=5

Hence, 5 students took part in both individual and team events.

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Using sampling concepts, one sample of 5 high schools in the city of Chicago is given by:

Englewood Stem, Hyde Park, Lake View, Marshall, Noble - UIC.

The problem is incomplete, but researching it on a search engine, it gives us a list of 15 high schools in Chicago, and asks us to take a sample of 5.

Hence, from the concepts of sample and populations, the sample of 5 means that we have to select 5 schools from the 15 listed, hence they are:

Englewood Stem, Hyde Park, Lake View, Marshall, Noble - UIC.

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Let's use Trigonometric ratios to find p :

[tex]\qquad \sf  \dashrightarrow \: \cos(60) = \cfrac{6}{p} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{2} = \dfrac{6}{p} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p = 6 \times 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: p = 12 \: \: units[/tex]

Answer:

20 %

Step-by-step explanation:

There was a change from 25 m to 30 m. When we find percentage change of something, we first calculate the difference of final and initial value. Then divide it by initial value × 100.

Change:

= 30 m - 25 m

= 5 m

% change:

= 5 m / 25 m × 100

= 100 / 5

= 20 % (ans)

Answer:

b. No

Step-by-step explanation:

7/6 can be changed to an equivalent ratio(fraction) by multiplying by the same number on top and on the bottom.

example:

7/6 = 7×3 / 6×3

= 21/18

21/18 is equivalent to 7/6.

7 doesn't even go into 52 for one thing. But 6×8 is 48 so try 8.

7/6 = 7×8 / 6×8

= 56/48

56/48 is equivalent to 7/6, not 52/48

The property of equality justifies the given statement is Transitive property of equality.

Given,

The statement:

If, 7x = 28,

then, x = 4

We have to find the property of equality that justifies this statement:

The transitive property of equality formula is given as follows:

If y = z and x = y, x must be z. Where items belong to the same category as x, y, and z. For instance, if a line segment's measurement is represented by "x," then its measurement should also be represented by "y" and "z."

The property of equality that justifies this statement If, 7x = 28,

then, x = 4 is  transitive property of equality.

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The tree was 210 cm tall.

Let 'h(t) ' models the height of the tree in centimeters and 't' denotes the number of years since Renata moved in.

Given, h(t) = 210 + 33t

This is a linear function in 't'.

This function says that in each year the tree grows 33 cm tall.

We need to find the height of the tree when Renata moved in.

When Renata moved in, the number of years, t = 0

Applying this into h(t) , we get,

h(t) = 210 + 33 x 0 = 210 cm

Therefore the tree was 210 cm tall when Renata moved in.

The question was incomplete. Find the complete question here:

Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window. h(t) models the height of the tree (in centimeters), t years since Renata moved in. h(t)=210+33t

How tall was the tree when Renata moved in?

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"Shawn stated that 5x+2 is equal 7x" its is an incorrect statement, because we can only add like terms.

Given,

The statement

5x+2 is equal to 7x

Here 5x and 2 are not like terms. So we can't add them together.

So the given statement is incorrect

5x+2 is not equal to 7x

Hence, "Shawn stated that 5x+2 is equal 7x" it is an incorrect statement, because we can only add like terms.

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Answer: A. is true.

Step-by-step explanation: The left side 16384 is equal to the right side 16384, which means that the given statement is always true.

Answer:

1 solution

Step-by-step explanation:

2y + 20y - 15 = 19 + 20y , that is

22y - 15 = 19 + 20y ( subtract 20y from both sides )

2y - 15 = 19 ( add 15 to both sides )

2y = 34 ( divide both sides by 2 )

y = 17

Answer:

Step-by-step explanation:

Answer

one

Proof

2y + 20y - 15 = 19 + 20y             Combine the left side.

22y - 15 = 19 + 20y                      Add 15 to both sides

22y - 15+15 = 19 +15 + 20y          Combine

22y = 34 + 20y                            Subtract 20y from booth sides

22y-20y = 34 + 20y-20y             Combine

2y = 34                                          Divide both sides by 2

2y/2 = 34/2

y = 17

That's the only solution you get. The number of solutions to any equation (with certain exceptions) is the highest power on the variable.

x^2 + 2x - 8    has 2 solutions (from the x^2)

x^3 + 3x^2 + 2x + 15 = y has three solutions

Answer:7lb

Step-by-step explanation:

7x180=1260lb

1260+235=1495lb

Answer:

down below

Step-by-step explanation:

The picture is a little blurry so the graph is hard to read. But I believe the answer is 7/8. The rose would be counting up or down the y axis and the run is counting forward or backward on the x axis.

Hope this helps! :)

Answer:

rise = 7, run = 8

slope = rise/run = 7/8

See attached picture for graph in case you have to plot

Step-by-step explanation:

Take two distinguishable points, (x1, y1) and (x2, y2)  on the graph. Find the difference in their y values= y2 - y1. This will be the rise

Find the corresponding difference in the x values, x2 - x1. This will be the run

Divide the y difference by the x difference and you get rise/run which is the slope of the line

Two clear points are (x1 = 0, y1= -7) and (x2=8, y2=0)

(y2 - y1)/(x2 - x1)

= (0 - (-7)/(8 - 0))

= (0+7/(8 - 0)             ==> 2 negatives make a positive

= 7/8  and that is rise/run

Rise = 7, run = 8

Picture shows rise and run if you want to graph it

The two such x-values are 2 and 8.

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Answer:

what you have to do is multiply 2 times 4 which is 8 and multiply the 8 by 9 which is 72

Step-by-step explanation:

2*4 =8

8*9=72

72 plus 8 is 80

2.3,3.3% and 2/3 in order of greatest to least is 3.3% > 2/3 > 2.3.

Arrangement in a series that begins with the greatest or largest and ends with the least or smallest.

Now the given numbers are,

2.3,3.3% and 2/3

Converting them into decimals we get,

2.3 = 2.300

3.3% = 0.033

2/3 = 0.667

Arranging them from greatest to least we obtain,

0.033  > 0.667 > 2.3

Thus, the given numbers from greatest to least are,

3.3% > 2/3 > 2.3

Hence, 2.3,3.3% and 2/3 in order of greatest to least is 3.3% > 2/3 > 2.3.

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Answer:

The question is incompleye. Do elaborate?

Seeing that substituting the value x ≤ -2, did not yield a result that is correct with the equation x5 +7 > x3 we can say that Sam's conjecture is incorrect

Given data

x ≤ -2

x5 +7 > x3

Sam's conjecture is tested by substituting the value x ≤ -2 into the equation x5 +7 > x3.  If the result is in accordance with the equation then Sam's conjecture is correct, however if the result is not in accordance with the equation the Sam's conjecture is incorrect.

The substitution will give

( -2 )^5 + 7 > ( -2 )^3

-32 + 7 > -8

-25 > -8  (since -25 is less than -8, Sam's conjecture is incorrect )

Seeing that substituting the value x ≤ -2, did not yield a result that is correct we can say that Sam's conjecture is incorrect

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In 3 hours Tom drives 243 miles.

So, to find how many miles Tom can drive in 3 hours:

Given: Tom drives 81/2 miles every 1/30 hour.

So, in 30 minutesTom drives 40.5 miles.

Therefore, Tom drives 243 miles in 3 hours.

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With the help of Pythagoras Theorem for triangles, we get that the possible areas of the square are: 12 sq. units and 20 sq. units, according to the cases mentioned.

According to the Pythagoras Theorem, in a right angled triangle, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given:

Sides of a right triangle are 2 and 4 units.

To find: Area of a square that shares a side with the third side of the triangle.

Finding:

There can the following cases:

If 2 and 4 units are the lengths of the perpendicular sides.

Then, by Pythagoras Theorem, -

[tex]H^{2} = 2^{2}+4^{2}\\ H^{2} = Side^{2}\\H=Side \\H= \sqrt{4+16} \\H= \sqrt{20} \\H= 2\sqrt{5}[/tex]

Hence, the area of the square = side² = 20 units²

If 4 units is the length of hypotenuse.

Then, by Pythagoras Theorem,

[tex]4^{2} = 2^{2} + A^{2} \\16 - 4 = A^{2} \\= \sqrt{12}\\[/tex]

side of triangle = [tex]\sqrt{12}[/tex]

Hence, the area of the square = side² = 12 units²

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