In New Salem North Dakota there is a 38-ft-tall statue of a cow named Salem Sue. Suppose the statue's shadow was 57 feet long and a 3.5 foot child was standing next to the statue. How long would the child statue be?

Answers

Answer 1

Answer:

5.25 feets

Step-by-step explanation:

Given that:

Height of Salem Sue = 38 feets

Height of Salem Sue's shadow = 57 feets long

Height of child standing next to the statue = 3.5 foot tall

Length of the child's shadow =?

Let lenght of child's shadow = s

IF;

38 Feets tall = 57 feets lenght

3.5 feets tall = s feets long

Cross multiply :

38 * s = 57 * 3.5

38s = 199.5

38s / 38 = 199.5 /38

s = 5.25

Hence, length of the child's shadow will be 5.25 feets long


Related Questions

Can you show me the answers step by step please?

Answers

Answer:

3490

Step-by-step explanation:

-9=2x+9y what is the answer

Answers

Answer:

9y= -9-2x

y=-(2/9)x-1

Step-by-step explanation:

-9-2x-9y=0
9+2x+9y=0
answer: 2x+9y+9=0

science pls answer I give brainliest

Answers

Answer:

b

Step-by-step explanation:

because air is cooler in the mountains so it'll be cold not humid

Solve the inequality:
||x−4|+3|≤5

Answers

Answer:

inequality form:

x<17

interval notation:

(-∞,17]

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

g(x) = x + 2h (x) = x^2 – 4Find: g(x) • h(x)

Answers

See attachment for math work and answer.

A line with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below.

Answers

Answer:

2/5

Step-by-step explanation:

first select the line that is positive which is the purple one

slope = change in y / change in x

two clear points are (0,2) and (5,4)

so you do y2-y1 / x2-x1

=(4-2)/(5-0)

=2/5

so the slope is 2/5

what is the composition f•g if f(x)=4-2x and g(x)=3x^2

Answers

Answer: 4-6x^2

Step-by-step explanation:

f•g = f(g(x))

f(g(x)) = 4-2(3x^2) = 4-6x^2

4
A line has slope 3. Through which two points could this line pass?
a. (24, 19), (8, 10)
b. (10,8), (16, 0)
C. (28, 10), (22, 2)
d. (4, 20), (0, 17)

Answers

Try the app Conects
Question is not clear

The function f(x) = 4x + 5 has domain 0sxs 50. What is its range?
The range of the function is

Answers

9514 1404 393

Answer:

  range: 5 ≤ f(x) ≤ 205

Step-by-step explanation:

You can put the extreme values of x in this linear function to see its range:

  f(0) = 4·0 +5 = 5

  f(50) = 4·50 +5 = 205

The range is 5 ≤ f(x) ≤ 205.

The following graph shows the time required to install fencing of different lengths. 1 1 2 2 3 3 4 4 5 5 20 20 40 40 60 60 80 80 100 100Time (hours)Length of fencing (meters) Which statements about the graph are true? Choose all answers that apply:

Answers

Answer:

b is the answer

Step-by-step explanation:

4 is hours and 60 m

Answer:

The answer is B

Step-by-step explanation:

"The point shows (4,60) shows that it takes 4 hours to install 60m of fencing"

I did this on khan too

hope this helps :)

I'm not sure what to do about this problem, so please help me out.

Answers

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

   

What are all of the factors pairs of 25

Answers

Answer:

Step-by-step explanation:

1, 5, 25 are the factor pairs and the multiples are 50.

Factor pairs of 25 :

1 , 5, 25

Given ,

Factors of 25 .

Now,

Factor is a number that divides the given number completely and remainder will be zero .

So,

25 = 5*5

25 = 5²

And,

1 and the number itself is an universal factor of any number .

Thus the factors of 25 are:

1, 5 , 25 .

Know more about factors,

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Please do for me thank you I am

Answers

4.)    top row: 1,   2,    4,     6,      8,    10

bottom row: 25, 50, 100, 150, 200, 250

5.)    top row: 1,    2,     4,      6,      8,     10

bottom row: 50, 100, 200, 300, 400, 500

a scaled drawing of a rectangular parking lot is 6 inches long and 5 inches wide. the actual parking lot is 72 feet long what is the area of the actual parking lot in square feet

Answers

I believe the answer is 60

HELP ME I HAVE TO PASS
What is the value of x in the solution to this system of equations?
3x+5y=94
x=2y−9

A.x = 7
B.x = 13
C.x = -13
D.x = 10

Answers

B, I used elimination

this 5th question ...please answer ​

Answers

Answer:

Im 47 and i have no idea

Step-by-step explanation:

thanks for 5 points

A box of coins contains nickels, dimes and quarters. The value of the coins is $4.00. If there were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50. How many quarters are in the box?

Answers

I think the answer is 23 because Blalabalaka

There are 4 quarters in the box of coins.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A box of coins contains nickels, dimes and quarters.

The value of the coins is $4.00.

And, There were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50.

Now,

Let number of nickels in a box = n

Number of dimes = d

Number of quarters = q

Here, The value of the coins is $4.00.

Hence, We get;

⇒ 5n + 10d + 25q = 400 cents   .... (i)

And, There were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50.

Hence, we get;

⇒ 3(5n) + 5d + 25(q+6) = 550 cents

⇒ 15n + 5d + 25q + 150 = 500

⇒ 15n + 5d + 25q = 350   .. (ii)

After solving equation (i) and (ii), we get;

Number of nickels in a box = n = 12

Number of dimes = d = 24

Number of quarters = q = 4

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what odd number is less than 12​

Answers

Answer:

theirs many  1, 3, 5, 7, or 9.

Step-by-step explanation:

Answer:

1, 3, 5, 7, 9, 11

Step-by-step explanation:

I Hope That This Helps! :)

Find three consecutive even integers suche
that one half of their sum is between 15
and 21.

Answers

9514 1404 393

Answer:

  10, 12, 14   and maybe {8, 10, 12} and {12, 14, 16}, depending on the meaning of the question

Step-by-step explanation:

If x is the middle one, then their sum is 3x. You want ...

  15 < 3x/2 < 21 . . . . assuming "between 15 and 21" does not include 15 or 21

  30 < 3x < 42

  10 < x < 14

The only even integer in that range is 12, so the three integers are ...

  10, 12, 14 . . . . . half their sum is 18

__

We have used <, rather than ≤ in the above solution. This assumes that "between" does not include the values at the end of the range. If those values are included, then two additional solutions are possible: {8, 10, 12} and {12, 14, 16}. For the first set, the half-sum is 15; for the second set, the half-sum is 21.

Annie needs $30 to buy a coat she has saved $12 and plans to work as a baby siter to earn $6 per hour which inequality shows the minimum number of hours, n, that annie should work as a babysitter to earn enough to buy a coat?
a 12 + 6n ≤ 30, so n ≤ 3
b 12 + 6n ≥ 30, so n ≤ 3
c 6n ≥30 + 12, so n ≥ 7
d 6n ≤30 + 12, so n ≤ 7

Answers

Answer:

The answer would be B.

Step-by-step explanation:

This is because the total cost is $30 so it can't be c or d. A shows that Annie can only have at least $30. this means that B is the only option left.

If this answer is wrong, I deeply apoligize. I hope you have a great day.

A researcher wishes to​ estimate, with ​% ​confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within ​% of the population proportion.

Answers

Answer:

The minimum sample size required is 1068.

Step-by-step explanation:

The complete question is:

A researcher wishes to​ estimate, with 95​%  confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 3​%  of the population proportion.

​No preliminary estimate is available. Find the minimum sample size needed.

Solution:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]MOE=0.03\\\text{Confidence level}=95\%[/tex]

Assume that the sample proportion is 50%.

The critical value of z is, 1.96.

Compute the minimum sample size required as follows:

[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

      [tex]n=[\frac{z_{\alpha/2}\cdot \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]

         [tex]=[\frac{1.96\times\sqrt{0.50(1-0.50)}}{0.03}]^{2}\\\\=1067.1111\\\\\approx 1068[/tex]

Thus, the minimum sample size required is 1068.

To plot the point (5, -3) you would move up 5, then left 3.

1. False
2. True

Answers

Answer:

False

Step-by-step explanation:

Positive in the X-axis is always to the right and negative is left and in the Y-axis positive is up and negative is down  

Please answer all ASAP (no explanation needed), extra points and will mark brainliest (don’t comment “idk” it’s not helpful :(, u will be reported)


1. After buying some bottle caps for $81.74, Peter has $6.74 left. How much money did Peter have to begin with?

2. Henry has $97.95 and Marilyn has $74.71. How much more does Henry have than Marilyn?

3. Helen has $84.51 and Joseph has $17.93. How much money do they have together?

4. Emily has $27.09 and David has $6.17. How much more does Emily have than David?

5. Cynthia has $74.45 and Amy has $38.44. How much more does Cynthia have than Amy?

6. After buying some Skittles for $71.18, Irene has $17.36 left. How much money did Irene have to begin with?

7. Steven has $98.25 and Joe has $4.97. How much money do they have together?

8. Ralph starts with $74.53 and spends $4.97 on candies. How much money does Ralph have left?

9. Christopher has $26.34 and Beverly has $4.15. How much money do they have together?

10. Eugene gives $2.89 to Sarah. If Eugene started with $56.03, how much money does he have left?

11. Keith has $56.49 and Theresa has $3.43. How much money do they have together?

12. Peter gives $20.85 to Nancy. If Peter started with $84.26, how much money does he have left?

13. Bruce has $67.72 and Charles has $29.62. How much more does Bruce have than Charles?

14. Sandra gives $9.13 to Stephen. If Sandra started with $11.66, how much money does she have left?

15. After buying some marbles for $93.52, Donald has $6.35 left. How much money did Donald have to begin with?

Answers

1: 88.48
2: 23.24
3: 102.44
4: 20.92
5: 36.01
6: 88.54
7: 103.22
8: 69.56
9: 30.49
10: 53.14
11: 59.92
12: 63.41
13: 38.10
14: 2.53
15: 99.87
1. $88.48
2. $23.24
3. $102.44
4. $20.92
5. $36.01
6. $88.54
7. $103.22
8. $69.56
9. $30.49
10. $53.14
11. $59.92
12. $63.41
13. $38.10
14. $2.53
15. $99.87

What is 59 rounded to the nearest half?

Answers

Answer:

30

Step-by-step explanation:

59 divided by 1/2 or 2 is 29.5 which round up to 30

The round-off to the number 59 is 59.5 to the nearest half.

When a number is rounded off, it is approximated to a specific level of precision or place value. You may simplify or make a number easier to work with while still retaining a fair degree of precision by rounding it off.

To round a number to the nearest half, find the nearest half-number (0.5, 1.0, 1.5, etc.). The decimal place immediately to the right of the half is taken into account since we are trying to get the closest half in this situation.

The digit after the decimal point in the number 59 is 9. We round up since 9 is larger than 5, not 5. Consequently, the outcome is 59.5 after rounding 59 to the closest half.

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What single percentage change is equivalent to a 8% increase followed by a 15% increase?

Answers

Answer:

24.2%

Step-by-step explanation:

If we take 100 for example, an 8% increase would make it 108, and a further 15% increase would make it 124.2 and 124.2 is 124.2% of 100 and if we minus the initial value of 100% it would be 24.2%

pls help me 98+29 x=96+33x

Answers

Answer:

x=1/2

Step-by-step explanation:

98+29x=96+33x

Step 1: Simplify both sides of the equation.

29x+98=33x+96

Step 2: Subtract 33x from both sides.

29x+98−33x=33x+96−33x

−4x+98=96

Step 3: Subtract 98 from both sides.

−4x+98−98=96−98

−4x=−2

Step 4: Divide both sides by -4.

−4x

−4

=

−2/−4

x=1/2

MARK YOU BRAINLIST PLEASE ANSWER A small airplane flies from Big Lake to Pine City every day, with a 30-minute layover in Summerville. The distance between Big Lake and Summerville is 375 miles, and the distance between Summerville and Pine City is 525 miles. If the airplane flies at an average speed of 200 mph, how long does the whole trip (including any stops) from Big Lake to Pine City take?

Answers

Answer:

5 hours

Step-by-step explanation:

4x < 8
And how to graph it?

Answers

Answer:

x<2

put a circle (unsahded) on number 2 and a line on all the sides to the left of 2 , like through 1, 0 , -1 ....

Step-by-step explanation:

4x<8

divide by 4

x<2

1. On a given day, Tyler runs twice as fast as his brother Ian on the local track. In one race, Ian gets a 330 meter head start, and they start running at the same time. After 21 seconds, Tyler catches up to Ian. Let x represent Ian’s rate (in meters/second). Write and solve an equation to find the rate that Ian runs. (Remember that distance = rate x time.) If you get a decimal answer, round to the nearest tenth.
Write the equation (2pts):

Solve the equation to find Ian’s rate (x) (2 pts):

Answers

Answer:

imma say 184 rpm

Step-by-step explanation:

A cake is removed from an oven. The temperature, in degrees Fahrenheit, of the cake after t minutes can be modeled by the equation, f(x)=70+140e^-0.024t.

What is the temperature of the cake at the moment it is removed from the oven and about how long will it take for the cake to reach a temperature of 80F ? Round your answer to the nearest whole minute.

Thank you (:

Answers

9514 1404 393

Answer:

210 °F110 minutes

Step-by-step explanation:

A graphing calculator answers the questions easily.

At t=0, f(0) = 210 . . . degrees F

f(t) = 80 at about t=109.96, so it takes about 110 minutes to reach 80 °F.

__\

Working "by hand"

The exponential term is 1 at t=0, so the temperature then is ...

  f(0) = 70 +140·1 = 210 . . . degrees F

The temperature of the cake from the oven is 210 °F.

__

The time when the temperature is 80 °F will be ...

  80 = 70 +140e^(-.024t)

  10 = 140e^(-.024t)

  10/140 = e^(-.024t)

  ln(1/14) = -0.024t

  t = ln(1/14)/-0.024 ≈ 109.9607

  t ≈ 110 when f(t) = 80

It takes about 110 minutes for the cake to cool to 80 °F.

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