A 24ft flagpole has a shadow of 9ft. A soldier standing next to the flagpole has a shadow of 2.25 feet. How tall is the soldier?

Answers

Answer 1

Answer:

6 feet

Step-by-step explanation:

Let's form a proportion;

24                    x

____    =      _____ ,

 9                   2.25

24(2.25) = 9x,

54 = 9x,

x = height of soldier = 6 feet

Answer 2

Answer:

6 feet

Step-by-step explanation:

[tex]\frac{height of object}{length of shadow}[/tex]

Let the hight of the soldier be x

[tex]\frac{24}{9}[/tex] = [tex]\frac{x}{2.25}[/tex]

x = (24×2.25)/9 = 6ft


Related Questions

The members of the Math team contributed a total of $9.10 for the party after their practice. Each member contributed the same amount of money in dimes only. How many members are in the team and how much money did everyone contribute? Give all possible answers.

Answers

Answer:

Number of possibilities

1) 91 members that contribute 1 dime each ($0.10)

2) 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)

3) 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)

Step-by-step explanation:

A dime = $0.10 in dollars

We are told that:

The total amount contributed = $9.10 for the party after their practice.

Each member contributed the same amount of money in dimes only.

Let the number of members be represented as: x

Number of possibilities

We find the factors of $9.1

= 1, 0.7, 0.13, 9.1

= 1 × 9.1

= 0.7 × 13

= 0.13 × 70

Hence:

1) $0.10 × x = $9.10

x = $9.10/$0.10

x = 91

Therefore, from the calculation above, there are 91 members and each of them contributed the same amount which was 1 dime ($0.10).

2)

7($0.10 )× x = $9.10

x = $9.10/$0.70

x = 13

Therefore, from the calculation above, there are 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)

3) 13($0.10) × x = $9.10

x = $9.10/$0.13

x = 70

Therefore, from the calculation above, there are 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)

Teagan believes she can use a division expression to find the amount of pizza each of 6 friends will eat if they share Four-fifths of a pizza.

Which statement best explains why Teagan is correct or incorrect?


Teagan is correct in using a division expression because Four-fifths is less than 1.


Teagan is correct in using a division expression because the question is about splitting a value into equal parts.


Teagan is incorrect in using a division expression because the term "of" in a math problem implies multiplication.


Teagan is incorrect in using a division expression because the total amount of pizza eaten is unknown.

Answers

Answer:

Option (b)

Step-by-step explanation:

It is given that,

Total no of friends are 6

The share of each friend is 4/5

Pizza eaten by each friend is equal to the total pizza eaten divided by total no of friends. It can be given by :

[tex]=\dfrac{\dfrac{4}{5}}{6}\\\\=\dfrac{4}{5}\times \dfrac{1}{6}\\\\=\dfrac{2}{15}[/tex]

It means that Teagan is correct in using a division expression because the question is about splitting a value into equal parts.  Hence, the correct option is (b).

Answer:

b

Step-by-step explanation:

Shelly runs 2.5 miles in 18 minutes. what is her mile time in minutes.​

Answers

Answer:

7.2315656

Step-by-step explanation:

Let's agree that 2.5 miles : 18 minutes is the ratio between the amount of distance and the amount of time spent running. If we spent 2x as many minutes running, Shelly would run 5 miles. In the same context, let's find the amount of distance covered in 18 minutes.

18 × (60/18) = 60

We multiply 60/18 because 60/18 = 60 × (1/18), and the (1/18) cancels with the 18 so we are left with the numerator, 60.

2.5 : 18

Now, we have to multiply 60/18 on both sides!

2.5 × (60/18) : 18 × (60/18) = 60

2.5 × (60/18) = 8 and 1/3 miles

Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Write an expression that correctly applies the the distributive property to show two equivalent expressions for the number of bags of soil he bought. (hint: Find GCF to help apply distributive property)

Answers

Answer:

[tex] 49 + 28 = 7(7 + 4) [/tex]

Step-by-step explanation:

Number of bags bought in one week = 49 bags

Number of bags bought the next week = 28 bags

Number of bags bought is [tex] 49 + 28 [/tex]

To express this using the distributive property, look for the greatest common factor of 49 and 28. Factor it out to get an expression.

Thus:

The factor 7 can go into 49 and 28. Factor out 7.

Therefore, we would have:

[tex] 49 + 28 = 7(7 + 4) [/tex]

PLEASE HELP !!!!!!
(also please don’t reply if you don’t know) thx

Answers

Answer:

1. 270 meters

2. 9 centimeters

3. 14 kilometers

4. 135 square meters

5. 24 square meters

6. the volume of the swimming pool is 144

Step-by-step explanation:

solve the equation x²+11=36

Answers

Answer:

x=5

Step-by-step explanation:

Equation:

x^2 + 11=36

1.Subtract 11 on both sides

x^2 = 25

2. Square root 25

x=5

Evaluate 2a^2-b^3 for a = 4 and b=-3​

Answers

Answer:

59

Step-by-step explanation:

2a^2 - b^3

a = 4, b = -3

substitute in the given values and solve

2*4^2 - -3^3

remember the order of operations, exponents first

2 * 4^2 - - 3^3

= 2 * 16 - - 27

simplify

2 * 16 - -27

=32 - - 27

= 32 + 27

= 59

Which of the following is equal to 10-5?
1
105
0.00001
1
10-5
1
100,000
16
10

Answers

Answer:

Step-by-step explanation:

[tex]10^{-5}=\frac{1}{10^{5}}=\frac{1}{100000}=0.00001[/tex]

Answer: 0.00001

[tex]10^{-5}[/tex] = [tex]\frac{1}{10^{-5} }[/tex] = 1 over 100,000.

100,000 = 0.00001

Hope this helps you!

The graph of y = x² is the solid black graph below. Which function
represents the dotted graph?

Answers

Answer:

y= -(x-4)^2

Step-by-step explanation:

y=X^2 is the parent function

The new graph is reflected and shifted to the right 4 units

y= -(x-4)² function represents the dotted graph

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph

y=X² is the parent function

Reflections of graphs involve reflecting a graph over a specific line. Reflecting functions are functions whose graphs are reflections of each other.

The new graph is reflected and shifted to the right 4 units

y= -(x-4)²

Hence, y= -(x-4)² function represents the dotted graph

To learn more on Graph click:

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can someone please answer these 2

Answers

Answer:

the second one is C

Step-by-step explanation:

1) x+30 = 40

2) 30-20+2x=10

3) 3x-10+13=-2x+28

4) 13x-23-45=-7x+12

5) 2(x+4) = 10x+24

6) 3(x-5) = 1-(2x-4)

7) 5X -10 = 15

2

8) X + 4 = X + 6

3 2

Answers

1)x+30=40

x=40-30

Answer :x=10

2)30-20+2x=10

10+2x=10

2x=0

Answer: x=0

3)3x-10+13=-2x+28

3x+3=-2x+28

3x+2x+3=28

3x+2x=28-3

5x=28-3

5x=25

x=5

4)13x-23-45=-7x+12

13x-68=-7x+12

13x+7x-68=12

13x+7x=12+68

20x=12+68

20x=80

x=4

5)2(x+4)=10x+24

2x+8=10x+24

2x-10x+8=24

2x-10x=24-8

-8x=24-8

-8x=16

x=-2

6)3(x-5)=1-(2x-4)

3x-15=1-(2x-4)

3x-15=1-2x+4

3x-15=5-2x

3x+2x-15=5

3x+2x=5+15

5x=5+15

5x=20

x=4

7)5x-10=15

5x=15+10

5x=25

x=5

8)x+4=x+6

4=6

no solution

PLEASE MARK ME AS BRAINLIEST

A concert organizer learned from a market survey that when the admission price is $30, there is an average attendance of 800 people. For every $1 drop in price, there is a gain of 20 customers. Each customer spends an average of $5 on concessions. The concert hall has 1,000 seats.

Answers

Answer:

[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]

Step-by-step explanation:

From the information given :

The objective is to find the demand function which is expressed in p, the price in dollars charged for each ticket, as a function of x, and the number of average attendance is:

Suppose the admission price P = D(x) = 30 and number of average attendant = x = 800 people

Then:

ΔP = -1

Δx = 20

[tex]\left \{ \dfrac{\Delta x}{\Delta P }= -20 }}\ \right.[/tex]

According to point line form :

[tex]\dfrac{\Delta x}{\Delta P }= -20[/tex] where the point is (30, 800)

x - 800 = -20 (P - 30)

x - 800 = -20P + 600

collect like terms

x + 20P = 800+ 600

x + 20P = 1400

x = 1400 - 20P

[tex]\mathsf{ P = 70 -\dfrac{ 1}{20}x}[/tex]

Thus, price in dollars for each ticket P = D(x) is:

[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]

Given l ||
m
|| n, find the value of x.
m
(4x+16)
n
140°

Answers

Answer:

x=31

Step-by-step explanation:

If the lines are parallel then the angle that is the same corner has the same degrees. If all the lines are parallel then 140=4x+16

140-16=4x

124=4x

124÷4=x

31=x

If angle p measures 60 degrees, what is the measure of angle C?
A)120
B)60
C)180
D)30

Answers

180 I hope I helped you and that is is right.

What is the probability that a randomly selected person is a woman given that they own a pet

Answers

Answer:

lmk if i am incorrect

Step-by-step explanation:

78/100 is .78

there is a 78 percent chance that a woman has a pet

15 POINTS!!! PLEASE HELP!! ITS IXL IF YOU WANT JUST TELL ME THE FORMULA I NEED TO USE !!

Answers

Answer: $10,800.00

Step-by-step explanation: 10,000 times 1%= 100

100 dollars she gains for twelve months

100 divide by 12 months equals $8.33

She would have a total of $10,800.00

supercalifragilisticexpialidocious maggie pls find me

Answers

Answer:

i have found you

Step-by-step explanation:

A map scale uses 5cm to mean 29 miles.
How many cm on the map represents 87 miles?

Answers

5 : 29 = x : 87
29x = 435
x=15

The points in the table lie on a line. Find the slope of the line.

Answers

Answer:

Answer is 6..is correct

Which of the following inequalities are equivalent to the inequality x-b<3, where b is a constant? Select all that apply.

Answers

Answer:

x - b - 3 < 0

Step-by-step explanation:

o

The inequality that is equivalent to x-b < 3 will be x - b - 3 < 0. The correct option is A.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given inequality is x-b<3. Solve the inequality and match it with the options.

x - b < 3

x - b - 3 < 0

From the options, we can see that the inequality x-b<3 is equivalent to the inequality x - b - 3 < 0.

Therefore, the inequality that is equivalent to x-b < 3 will be x - b - 3 < 0. The correct option is A.

To know more about inequality follow

https://brainly.com/question/24372553

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Help plss will give brainliest

Answers

Answer:

f(3) = 4(3)-2 = 12-2 = 10

Step-by-step explanation:

By comparing f(3) and f(x), you can see that it is basically replacing the x in the equation with the value of 3.

Idk how to fill this in .

Answers

Answer:

3, 3, 6,9,12 if that's wrong try 3, 3, 6, 12, 36, 144

Step-by-step explanation:

you just multiply the numbers together to get your answer

Solve the notable products (x-12).(x+12)

Answers

Answer:

x^2 -144

Step-by-step explanation:

Which expressions are equivalent to -6(b + 2) + 8?
Choose all answers that apply:
A -66 + 2 + 8
B - 66 - 4
C None of the above

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Its not a because all they did was take the variable out the equation the answer is b cause they solve for b

please hurry.............The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.

A: (24 > 16) (24 < 16) (24 = 16)
B: (-22 > -6) (-22 < -6) (-22 = -6)
C: (21 > -18) (21 < -18) (21 = -18)
D: (-25 > 5) (-25 < 5) (-25 = 5)
Multiplying both sides of an inequality by a positive number (does not change or reverses) the inequality symbol.
the things in "()" are the answer choices lol.

Answers

Answer:

A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D.

The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.

A:

✔ –16 < –4

B:

✔ 40 > 8

C:

✔ –45 < 15

D:

✔ 35 > –20

Multiplying both sides of an inequality by a negative number

✔ reverses

the inequality symbol.

Step-by-step explanation:

hope this helps

Answer:

1.  B

2. A

3. B

4. A

5. reverses

Step-by-step explanation:

4a-{3b+2c} BIG POINT IF ANSWERED FAST AND RIGHT

Answers

Answer:

=4a−3b+2c

Step-by-step explanation:

There's not enough information to solve. Comment and I'll reply with an answer

If MO=16x, MN=14x+20, then what is the length of NM​

Answers

Answer:

The length of NM would be -26 2/3.

A restaurant menu shows the price for 2 chicken wings is $2.30 and the price for 6 chicken wings is $6.90. The function below gives the price, y, for x wing
y - 2.30 = 1.15(x - 2)
If this function is graphed in the coordinate plane, what is the y-intercept?

Answers

Answer:

y - intercept = 0 [(0,0)]

Step-by-step explanation:

Given the equation y - 2.30 = 1.15(x-2), the y-intercept is when x is 0.

So to find your answer, just substitute in 0 for x, and solve for y:

y - 2.30 = 1.15(x - 2) →

x = 0

y - 2.30 = 1.15(0 - 2) →

y - 2.30 = 1.15(-2)

y - 2.30 = -2.30 →

+2.30 +2.30

y = 0

Buddy downloaded 16 apps in 24 seconds. At this rate, how many apps could he download in one minute? (24 seconds = 2/5 of a minute) (1-1 Unit Rate)

Answers

I think it’s 60. You divide 24 by 16 then multiply by 4 I got 60
i think its A but im not sure.

Give the digits in the tens place and the hundredths place.
14.67

Answers

The digit in the tens place is 1. The digit in the hundredths place is 7.

Answer:

1 is in the tens and 7 is in the hundredths place.

Step-by-step explanation:

14.67

1 is tens place

4 is ones place

then the . decimal

6 is the tenths place and 7 is the hundredths place

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