Thomas decides to use the method of proportions and similar
triangles to find the height of a lamppost. He measures the length of
the post's shadow and finds it is 5 feet long. Then, he holds a 1-foot
ruler perpendicular to the ground and finds that it casts a 2-inch
shadow. How tall is the lamppost?
a. 2.5 ft c. 30 ft
b. 12 ft d. 60 ft

Answer:

I think it would be a 1.40 decrease

Step-by-step explanation:

Answer:

i don't really have an answer to that question

Answer:She would be expecting more 7th graders. ~ 78 7th graders ~72 8th graders

Step-by-step explanation

7th Grade: 279÷25=11.16 11.16*7 (number on Friday for 7th grade)=78.12

8th grade=225÷25=9 9*8 (number on Friday for 8th grade) =72

Round each of them: 78.12=78 72=72

78 is higher than 72, therefore there will be more 7th graders

Answer:

-6

Step-by-step explanation:

Manipulating the initial inequality, we get x < -4

Out of the given ones, only -6 is STRICTLY smaller than -4, thus the only one that satisfies the inequality.

The correct choice is:

The graph titled 'Hours of Sunlight and plant growth' showing 'hours of sunlight' from 0 to 17 in increments of 2 on the x-axis and 'growth in inches' from 0 to 12 in increments of 1 on the y-axis has points at (8, 1), (9, 2), (10, 3), (11, 3), (12, 5), (13, 6), (14, 7), (15, 9) and (16, 10).

(OR)

The scatter plot graph titled 'Hours of Sunlight and plant growth' is shown with 9 data points showing a positive relationship. The x-values of the data points extend from 8 to 16, and the y-values of the data points extend from 10 to 1.

From the given table, we have the following data points:

(8, 1), (9, 2), (10, 3), (11, 3), (12, 5), (13, 6), (14, 7), (15, 9), and (16, 10)

The correct choice shows that these data points are plotted on a scatter plot with the x-axis ranging from 0 to 17 (in increments of 2) and the y-axis ranging from 0 to 12 (in increments of 1).

The scatter plot shows a positive relationship between the two variables, which means that as the hours of sunlight increase, the growth of the plant also increases

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Answer:

No triangles

Step-by-step explanation:

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

5+8 > 20 <-- is not true.

Answer:

make two points or three points on the graph to make sure you're correct

First point: x=2  y=2x4=8  (2,8)

Second point x=0 y=0  (0,0)

Third point: x= -2 y= -2x4= -8  (-2,-8)

Answer:

A. x = -6
B. x = 15

Step-by-step explanation:

A.

\(\frac{x}{3}-5=-7\\\frac{x}{3}-\frac{15}{3}=-7\\\frac{x-15}{3}=-7\\x-15 = -7*3\\x-15=-21\\x=-21+15\\x=-6\)

B.

\(\frac{x}{2}-5=2.5\\\frac{x}{2}-\frac{10}{2} = 2.5\\\frac{x-10}{2}=2.5\\x-10= 2.5*2\\x-10=5\\x=5+10\\x=15\\\)

I hope this helps brother! :D

Answer:

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

Step-by-step explanation:

As given in the graph,

Given function is a quadratic function, f(x) = (x + 2)(x + 6)

With x-intercepts of the function, x = -6 and -2

Graph below the x-axis represents the negative values of the function.

Graph above the x-axis represents the positive values of the function.

Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.

The percent decrease in oil prices can be calculated using the below-mentioned formula:

(original price - new price) / original price * 100

(54 - 50) / 54 * 100 = 7.41% decrease.

Step-by-step explanation:

The percent decrease in price expresses the change in price as a percentage of the original price.

To calculate it, subtract the new price from the original price and divide the result by the original price. Multiply that result by 100 to get the percentage decrease.

In this case, the original price was $54 per barrel, and the new price was $50 per barrel, for a 7.41% decrease. This means that the price of oil fell by 7.41% from $54 to $50 per barrel.

Learn more about percentage decrease : https://brainly.com/question/18425267

An equation is a mathematical statement that shows two mathematical expressions equal.

An equation consists a variable that does not have a fixed value to it.

Given,

j+12=25

Here ‘j’ is the variable.

To find ‘j’ we just need to 12 from 25.

So, 25 - 12 = 13

Hence, now we know that ‘j’ is equal to 13.

13 + 12 = 25

Learn more about Equations here

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Hope my answer helps you✌️

Mark BRAINLIEST

Assign the numbers to the number line in the following order:

2.15=2.15

220%=2.2

9/4=2.25

*2.15* is easy enough to place as it is already in decimal form. However, the other 2 options need to be converted to decimals in order to be placed. We have the fraction 9/4 and percentage 220%. 9/4 can either be simply divided on a calculator or turned into the mixed fraction 2 and 1/4, which is *2.25*. Finally, we know that converting a decimal to a percentage we multiply the decimal by 100. Therefore, to convert a percentage to a decimal we divide 100 or move the decimal to the left 2 places. With this conversion rule, 220% transforms to *2.2* and we have the third and final number for our number line. Arranging these three numbers from least to greatest:

2.15, 2.2, 2.25

Answer:

0.75 ft or 9 in.

Step-by-step explanation:

9 ft / 12 = 0.75 ft

0.75 ft × 12 in. / ft = 9 in.

Answer: 0.75 ft or 9 in.

9 feet

when divided equally, the length of each piece.

9/12

when simplified= 3/4

in decimal form= 0.75ft

so, the length of each piece is 0.75ft.

The Falcons had the best overall record for the season. They have a larger mean value of about 20.9 points. The mean is the best measure of center to compare in this case because it takes into account all the data points and gives an overall average of the points earned by each team throughout the season.

Answer:

The answer is 20.1

Step-by-step explanation:

Answer:

X×0.085-(X÷0.30)

Step-by-step explanation:

I think that right its been a while since I did that stuff in school

Answer:

Mean = 33.7

Median = 34.5

Mode = 34

Range = 33

After adding 26....

mean decreases by 0.7

median decreases by 0.5

mode is 34

range is 33

Step-by-step explanation:

mean = sum of all the data values/number of data values

= (18 + 19 + 20  + 34 + 34 + 35 + 37 + 42 + 47 + 51)/10
= 337/10
= 33.7

To find median arrange the values in increasing order, find the mid value

If the number of data points is even, find the average of the mid 2 data values

Arranging data values we get:
18, 19, 20, 34, 34, 35, 37, 42, 47, 51

Since there are 10 data values, take the average of the middle two:
(34 + 35)/2 = 34.5

The mode is the value that occurs most often. We see that there are two instances of 34 whereas the other values appear only once

Mode = 34

The range is highest - lowest = 51 - 18 = 33

After we add 26, we get the following data set arranged

18, 19, 20, 26, 34, 34, 35, 37, 42, 47, 51

we can calculate the stats using the same technique as above

We get the following values

mean = )(18 + 19 + 20 + 26 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/11
= 33  

median = 34

mode = 34

range = 51-18 = 33

To find the decrease in mean and median subtract from the first set of values

2 ⇒ 1

3 ⇒ 3

4 ⇒ 2

5 ⇒ 1

6 ⇒ 3

7 ⇒ 5

8 ⇒ 2

9 ⇒ 4

10 ⇒ 0

11 ⇒ 2

12 ⇒ 2

Hope my answer helps you✌️

Mark BRAINLIEST

Answer:

4  5/6

Step-by-step explanation:

Answer:

y = 21

x = 8

Step-by-step explanation:

AB = 180

27 + 3y = 90°

-27           -27

-----------------------

3y = 63

÷3     ÷3

--------------

y = 21

x + 27 + 3y + 8x + 18 = 180

9x + 45 + 3(21) = 180

9x + 45 + 63 = 180

9x + 108 = 180

      -108   -108

-----------------------

9x = 72

÷9    ÷9

----------------

x = 8

I hope this helps!

Answer:

22.5 cm

Step-by-step explanation:

In the figure attached the graph of the problem can be seen.

Given the triangles are similar then the next proportion must be satisfied:

13.5/9 = 18/12 = x/15 = 1.5

Isolating x, we get:

x/15 = 1.5

x = 1.5*15

x = 22.5 cm

This isn't my work. Thanks to jbiain.

Answer:

\(\textsf{(a)} \quad -2x-4\)

\(\textsf{(b)} \quad 2x+5\)

(c)   Not equivalent.

\(\textsf{(d)} \quad 3x^2-24x+48\)

\(\textsf{(e)} \quad 9x^2-72x+144\)

(f)    Not equivalent.

Step-by-step explanation:

Equivalent expressions are expressions that simplify to the same expression.  

Part (a)

\(\begin{aligned}&\textsf{Add 3 to $x$}: & \quad x+3\\&\textsf{Subtract the result from $1$}: & \quad 1-(x+3)\\&\textsf{Double}: & \quad 2[1-(x+3)]\\&\textsf{Expand}: & \quad 2[1-x-3]\\&\textsf{Simplify}:&2[-x-2]\\&& -2x-4\end{aligned}\)

Part (b)

\(\begin{aligned}&\textsf{Add 3 to $x$}: & \quad x+3\\&\textsf{Double}: & \quad 2(x+3)\\&\textsf{Subtract $1$ from the result}: & \quad 2(x+3)-1\\&\textsf{Expand}: & 2x+6-1\\&\textsf{Simplify}:&2x+5\end{aligned}\)

Part (c)

The expressions are not equivalent.  

The coefficients of the x-variables are the negatives of one another, and the constants are different numbers.

Part (d)

\(\begin{aligned}&\textsf{Subtract 4 from $x$}: & \quad x-4\\&\textsf{Square the result}: & \quad (x-4)^2\\&\textsf{Triple}: & \quad 3(x-4)^2\\&\textsf{Expand}: & \quad 3(x^2-8x+16)\\&\textsf{Simplify}:& 3x^2-24x+48\end{aligned}\)

Part (e)

\(\begin{aligned}&\textsf{Subtract 4 from $x$}: & \quad x-4\\&\textsf{Triple the result}: & \quad 3(x-4)\\&\textsf{Square}: & \quad [3(x-4)]^2\\&\textsf{Expand}: & \quad [3x-12]^2\\&\textsf{Simplify}:& 9x^2-72x+144\end{aligned}\)

Part (f)

The expressions are not equivalent.  

The coefficients the second equation are three times the coefficients of the first equation.

Answer:

\( {8}^{9} \)

Step-by-step explanation:

\( {8}^{4} \times {8}^{5} = {8}^{4 + 5} = {8}^{9} \)

Use the properties of power (when multiplying equal bases with different power exponents, the exponents are added together)

Answer:

8^9

Step-by-step explanation:

You add the exponents together.

Answer:

Step-by-step explanation: All you have to do is add them and then add the variable back to the end of the problem when you done.

So say io have 1.3p+0.2 so 0+1 is 1 and 3+2 so it would be 1.5p see i added the variable back to the problem./

Answer:

=-12

Step-by-step explanation:

Answer:

a = 4/3

Step-by-step explanation:

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