Bob is trying to see if his shadow is longer than Kevin’s. Kevin is 3 feet tall, and Bob is 2½ feet tall. Kevin’s shadow is 5 feet long. Help Bob find the length of his shadow

Answers

Answer 1

Given parameters:

Height of Kevin  = 3ft

Height of Bob = 2.5ft

Hieght of Kevin's shadow = 5ft

Unknown:

Length of Bob's shadow = ?

We can simply set up simple ratio to solve this problem.

 The ratio of Kevin's height to Bob's height is 3 : 2.5

  The ratio of their shadow should also be 5: Bob's shadow height

Equating the two of them should give a fairly constant ratio;

         [tex]\frac{3}{2.5} = \frac{5}{Bob}[/tex]  

            3Bob  = 5 x 2.5

 Bob's shadow height  = [tex]\frac{5 x 2.5}{3}[/tex]   = 4.2ft

The height of Bob's shadow is  4.2ft.


Related Questions

what is the nineteenth term in the sequence 7, 10, 13, 16,...? A 64 B 61 C 57 D 19

Answers

Answer:

B. 61

Step-by-step explanation:

7, 10, 13, 16...

ok so were starting with 7 and adding 3 every time

im going to do 3 times 19 like as if we started with 3 then im going to add 4

3 x 19 = 57

57 + 4 = 61

the 19th term is 61

Answer:

B: 61

Step-by-step explanation:

Hope this helps :)

what is the model of 1/4 divided by 3

Answers

Answer:

bust a uhhh

Step-by-step explanation:

ya dig

The answer to this question will be 0.08

what is 337/25 simplified​

Answers

Answer: 13.48

Step-By-Step:

Hello there! I will be showing the steps. Let me know if you have any questions or concerns in the comments.

Step 1: For the denominator, recognize that 25 × 4 = 100.

Multiple = 4

Step 2: Multiply both the numerator and denominator by the multiple 4.

[tex]\frac{337 *4 }{25 * 4}[/tex]  

Step 3: Simplify.

[tex]\frac{1348}{100}[/tex]

Step 4: Simplify.

13.48

~I hope I helped you! :)~

Is the given function exponential function?
3x2 - 4x + 7 = 0 Yes or No? How do you know?

Answers

Answer: no

Step-by-step explanation:

because you can do what is known as the vertical line test to determine if it is a function you do that by plotting it and if it goes in a vertical line then it is a function

PLEASE HELP 50 PTS
For a function j(x), the difference quotient is 3x2 + 3xh + h2. What is the average rate of change of j(x) over the interval [–1, 6]?

15
21
25
31

Answers

Answer:

31 is correct guys

Step-by-step explanation:

Since the data is incomplete, for the given question the required average rate of change is given by 15 + 3h.

Given that,
For a function j(x), the difference quotient is 3x2 + 3xh + h2.

The average rate of change of j(x) over the interval [–1, 6] is to be determined.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is independent while Y is the dependent variable.

Here, the average rate of change = f(6) - f(-1) / (6 + 1)
So,
f(6) = 108 + 18h + h²
f(-1) = 3 - 3h + h²

Now,
average rate of change = [(108 + 18h + h²) - (3 - 3h + h²)]/(7)
                                        = [105 + 21 h ] / 7
                                         =   15 + 3h

Thus,  the required average rate of change is given by 15 + 3h.

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Could someone help me with 19 please :)

Answers

Answer:

Step-by-step explanation       我认为那是一个美好的一天

Wǒ rènwéi nà shì yīgè měihǎo de yītiān

Answer:

wouldn't that just make it -2 1/4 + 9?

Step-by-step explanation:

because f just means +9

Shiloh has to earn at least $200 to meet her fundraising goal. She has only 100 cakes that she plans to sell at $5 each. Which inequality shows the number of cakes, x, Shiloh can sell to meet her goal?

Answers

Answer:d

Step-by-step explanation:I took the test too

A floor is made up of 20 triangular tiles, each with sides 40 cm, 24 cm and 32 cm. Find the cost of polishing the floor at the rate of 2 rupees per sq.cm.​

Answers

Answer:

[tex]15360\,\,rupees[/tex]

Step-by-step explanation:

Let sides of the triangle be [tex]a,b,c[/tex]

[tex]a=40\,,\,b=24\,,\,c=32[/tex]

Semi-perimeter (s) = [tex]\frac{a+b+c}{2}[/tex]

[tex]=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48[/tex]

Area of one tile [tex]=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2[/tex]

So,

Area of 20 tiles [tex]=20(384)=7680\,\,cm^2[/tex]

Cost of polishing the floor at the rate of 2 rupees per sq.cm = [tex]7680(2)=15360\,\,rupees[/tex]

0.1 is 1/10 as much as

Answers

Answer:

10%

Step-by-step explanation:

Because 0.1 is equivalent to 1/10 and 10%

3x square - 6x + 3=0

Answers

Answer: 1

Step-by-step explanation:

First you need to multiply 3 x 3 (9), because that's all 3 squared means.

Now the equation should be 9x-6x+3=0

Next we need to combine like terms. Do 9x - 6x which should give you 3x

Now your equations should be 3x+3=0

Now for the somewhat harder part...

Under the three (the one without the x) write -3 and under the zero write the same thing.  the +3-3 cancels out so just put a line or something across it.

0-3= -3

so now you should have...

3x=-3    ignore the 3x, at this point it's useless in getting the answer because it would cancel out.

-3 divided by -3  is 1 because a negative (-)  divided by a negative (-) equals a positive (+).

The answer should be  x = 1

Find the quotient in SIMPLEST form. 2/5 ÷ 5/8 =
A: 10/40
B: 1/4
C: 16/25
D: 4/5​

Answers

Answer:

c. 16/25

Step-by-step explanation:

divide

Pls help
I have this question and I can’t figure it out

Answers

Start by crossing out absurd answers, it helps a lot. Then you're left with two and choose the correct answer by doing the math

Step-by-step explanation:

cross the ones that you think are not right

Please answer this correctly without making mistakes

Answers

Answer:

50%

Step-by-step explanation:

Answer:

50 present

Step-by-step explanation:

The table below shows a proportional relationship between s and t . Which equation represents the relationship between s and t?

Answers

Answer:

[tex] s = 7t [/tex]

Step-by-step explanation:

The table given shows that both variables are directly proportional to each other. That is, as s variable increases, y variable also increases.

Equation to represent this direct proportion would be:

[tex] s = kt [/tex],

where, k = constant of proportionality.

Let's find k from the table given.

Let's use any pair values of of s and t given in the table. Say, s = 21, t = 3

[tex] s = kt [/tex]

[tex] 21 = k3 [/tex]

Divide both sides by 3

[tex] \frac{21}{3} = \frac{k3}{3} [/tex]

[tex] 7 = k [/tex]

[tex] k = 7 [/tex]

Plug in k = 3 into [tex] s = kt [/tex]:

[tex] s = 7t [/tex]

Answer:

B

Step-by-step explanation:

Divide 7

A submarine dives below the surface, heading downward in three moves. If each move downward was 25 12 feet, where is the submarine after it is finished diving?

Answers

Answer:

why is 25 and 12 nex tto each other explian

Step-by-step explanation:

Answer:

It is about 325x3=975 feet below to surface. Hope this helps!!!

Step-by-step explanation:

What is the scale factor from polygon ABCD to polygon PQRS??

Answers

Answer:

We need the grid to figure this out

A number cube is rolled 24 times and lands on the number 2 four times and on the number 6 three times what is the theoretical probability of landing on 6?

Answers

Answer:

A: 4 / 24 (or 1/6) B: (24 - 3) / 24 = 21/24 (or 7/8) C and D: Theoretical probability for each number is 1/6 on each roll, and we expect 4 occurrences of each number, on average. 2 came up as expected. 6 came up 3/4 as often as expected. Or "Not-6" came up 21 instead of 20 times, slightly more often than expected.

Step-by-step explanation:

Mary Jo takes her son to get a haircut at the barbershop. The total cost of the haircut is $12.60, including a 20% tip. How much was the haircut before the tip?

Answers

Based on the total cost of the haircut with the tip included, the cost of the haircut before the tip was $10.50

How to find the cost of the haircut?

The cost of the haircut give of $12.60 is merely the cost of the haircut including the 20% tip.

To find the cost of the haircut before the tip was included, assume that it is x. The relevant expression would then be:

Total cost including tip = x × (1 + tip percentage)

Solving for the haircut cost before the tip gives:

12.60 = x ( 1 + 20%)

12.60 = 1.20x

x = 12.60 / 1.20

x = $10.50

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Jill made 20 muffins.she put them into 3 boxes and has two muffins left . How many are in each box if they contain the same amount of muffin

Answers

Answer:

6 muffins

she can fit 6 into each box because 20 divided by 3 is eighteen with a remainder of 3. 18 goes into 3 6 times.

Which equation has exactly one solution?
A. 4x – 4 + 2x = 6x - 4
B. 3x + 5 = 2x - 6
C. 2(4x + 5) = 8x + 10
D. 4x - 8 = 4(x - 4)

Answers

Answer:

its B

Step-by-step explanation:

I calaulated all the numbers

Solve.

(5a^2 + 3) (4a^2 + 3)

Answers

Answer:

I think its a... carrot

Answer:

204+272+9

Step-by-step explanation:

what is the opposite of 1/2

Answers

Answer:

The opposite of 1/2 is -2/1, which can also be written as -2.

50 apples cost $25.how much would 75 apples cost​

Answers

Answer:

150

Step-by-step explanation: one apple cost $0.50, so 75/ $0.50= 150

Match each part of this algebraic expression with its appropriate description 12.1x - 4.7y + 6x + 1/6

Answers

Answer:Terms, like terms, constant(s),Variable (s),Coefficient(s)

Step-by-step explanation: 18.1x,4.7 and 1/6=Terms

The matched part with the respective appropriate description:

1) x and y → Variable(s)

2) 1/6 →  Constant(s)

3) 12.1, 4.7, and 6 →  Coefficient(s)

4) 12.1x and 6x →  Like Terms

5) 12.1x, 4.7y, and 1/6 →  Terms

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

We have the algebraic expression,

12.1x - 4.7y + 6x + 1/6.

From the definition,

x and y are the two variables.

And 12.1, 6 and -4.7 are the numbers in front of the variables.

So, 12.1, 6 and -4.7 are the coefficients.

And 1/6 is the constant.

So, 1) x and y → Variable(s)

2) 1/6 →  Constant(s)

3) 12.1, 4.7, and 6 →  Coefficient(s)

4) 12.1x and 6x →  Like Terms

5) 12.1x, 4.7y, and 1/6 →  Terms

Therefore, each part of the algebraic expression matched with its appropriate description.

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Kelsey graphed the equation y = 3x + 1 as shown below.

On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).

Which describes Kelsey’s error?
Kelsey graphed the y-intercept on the x-axis.
Kelsey graphed –3 instead of 3 as the y-intercept.
Kelsey graphed the slope as up 1 right 1 instead of up 1 left 1.
Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.

Answers

Answer:

D. Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.

Step-by-step explanation:

The equation to graph was : y= 3x + 1 where the slope is 3 and the y-intercept is 1

However, Kelsey graph line passes through points (-3, 0)and (0, 3).From these points the equation of the line is;

m=Δy/Δx  where

m=the slope of the graph

Δy= 3-0 =3

Δx= 0--3 =3

m=3/3 = 1

The equation of the line should be;

m=Δy/Δx

1=y-3/x-0

1x= y-3

3+1x= y

y= 1x + 3 ----------where the slope is 1 and y-intercept is 3

So you can see here that in the original equation, the slope m is 3 and y-intercept is 1 as shown in the first attached graph.

While in the Kelsey's graph, the slope is 1 and the y-intercept is 3 as in the second attached graph.

Thus, the correct answer is D : Kelsey graphed the slope,3 as the y-intercept and the y-intercept,1, as the slope.

Answer choice A is incorrect because Kelsey didnot graph the y-intercept, 1 on the x-axis but graphed point (-3,0) on the x-axis.

Answer choice B is incorrect because on Kelsey's equation the y-intercept is 3 and not -3. i.e. y=1x + 3

Answer choice C is incorrect because Kelsey graphed the slope as up 1 right 1 which is okay per the equation , y=1x+3.However, this incorrect because the correct graph has a slope of 3.

Answer:

the answer is the last option  

Step-by-step explanation:

hope this helps

have a good day

did the test on edge

What is 24:30 as a decimal

Answers

Answer:

.800

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Let's see 24:30 as a fraction first...

24/30

Now let's simplify it,

(24 ÷ 3) / (30÷3)=

8/10

8/10= 0.8

How do you determine what bn should be in a limit comparison test and a comparison test? When do you know that the series should use a limit comparison test or a comparison test to find if it is convergent/divergent? Examples would be greatly appreciated

Answers

Step-by-step explanation:

Pick a function that is the same "family".  It needs to be a function that you know diverges or converges.  So p-series and geometric series are common choices.  Often we make the numerators the same so that it's easy to compare.

For example, if you have an = 1 / (n − 1), you would choose bn = 1 / n.  Since n − 1 is less than n, we know an is greater than bn.  And since we know bn diverges, that means the larger function an also diverges.

Or, if you have an = 1 / (n + 1), we again choose bn = 1 / n.  However, comparison test is inconclusive here (an < bn, bn diverges), so we use limit comparison test instead.

lim(n→∞) an / bn

lim(n→∞) 1 / (n + 1) / (1 / n)

lim(n→∞) n / (n + 1)

1

The limit is greater than 0, and bn diverges, so an also diverges.

Let's try something more complicated.  Let's say an = e⁻ⁿ / (n + cos²n).  The numerator e⁻ⁿ is always less than 1, and the denominator is always greater than n.

If we again choose p-series bn = 1 / n, we know bn > an, and bn diverges, so comparison test is inconclusive.  Limit comparison test is possible, but tricky.

But, if we choose geometric series bn = e⁻ⁿ / 1, we know bn > an, and bn converges, so by comparison test, an converges as well.

We can try one more: an = (n² + 2) / (n⁴ + 5).  Let's choose bn = (n² + 2) / n⁴ = 1 / n² + 2 / n⁴.

The numerators are the same, but an has a larger denominator, so bn > an.  bn is the sum of two p-series which converge, so bn converges.  Therefore, an converges.

Suppose​ you're given a data set that classifies each sample unit into one of four​ categories: A,​ B, C, or D. You plan to create a computer database consisting of these​ data, and you decide to code the data as A​1, B​2, C​3, and D4. Are the data consisting of the classifications​ A, B,​ C, and D qualitiative or​ quantitative? After the data are input as​ 1, 2,​ 3, or​ 4, are they qualitative or​ quantitative?

Answers

Answer:

The data consisting of the classifications​ A, B,​ C, and D are qualitative.

After the data are input as​ 1, 2,​ 3, or​ 4 the data still be qualitative.

Step-by-step explanation:

The data consisting of the classifications​ A, B,​ C, and D are qualitative because data is categorized in A B C and D categories.

When the data are input as 1,2,3 or 4 it would be still be qualitative because here 1,2,3 or 4 as used as identifier rather than actual numerical meaningful digits.


Eddie Fantin is paid every two weeks. For the first week of his pay period he worked 42 hours, 4 of which were overtime hours. In the second week he worked 40 regular hours and 7 overtime hours. His regular pay rate is $14.40 an hour with time-and-a-half for overtime. What are his regular, , overtime, and total wages for the two weeks?

Answers

the total money he earns is $1260 for the two weeks

A phone company charges for service according to the formula C(n) = 23 + 0.2n, where n is the number of minutes
talked, and c(n) is the monthly charge, in dollars.
Find the rate of change.

Answers

Answer:

...........................

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