At the same time of day, a woman who is 78 inches tall casts a 63-inch shadow and her son casts a 21-inch shadow. What is the son's height? *

Answers

Answer 1

Answer:

26in

Step-by-step explanation:

The heights of the people in relation to their shadow lengths are proportional.

78in/63in = x/21in

The child's shadow is 1/3 the length of his mom so his height is 1/3 of hers.

78/3 = 26 in

Answer 2

Answer:

The son is 26 inches tall.

Step-by-step explanation:

[tex]\frac{x}{21} = \frac{78}{63}[/tex]

           

[tex]x= \frac{21x78}{63}[/tex]

21x78= 1638

1638÷63=26

Hope this helps

Sorry if I got it wrong!


Related Questions

1. There are 2 hiking trails in Watkins Park. The Spicebush Trail is 2.7 miles and the Loop Trail is 1.7 miles. If you hiked both trails, how many miles would you walk?

2. On your hike, you brought 1.7 pounds of almond trail mix and 1.4 pounds of cashew trail mix. How much trail mix do you have all together?

3. At the end of the hike you still had 2 pounds of trail mix left. How much trail mix did you at on the hike?

4. Solve these decimal addition and subtraction problems with your base-10 blocks or a number line:

5.3 + 7.4



2.45 + 3.95



2.5 – 1.3



4.12 – 2.80

Answers

1. Add 2.7 and 1.7 together to discover the total amount

2.7 + 1.7 = 4.4

You would walk 4.4 miles if you walked both trials.  

2. Add the amounts of both trail mixes together

1.7 + 1.4 = 3.1

There were 3.1 pounds of trail mix brought on the hiking trip

3. Subtract answer from 2 by 2 and recieve the answer for this question

3.1 - 2 = 1.1

There were 1.1 pounds of trail mix eaten on this hiking trip

4. Answers:

12.7

6.40

1.2

1.32

A. y = 2x
B. y = x ÷ 2
C. y = x – 1
D. y = x + 1

Answers

Answer:

D) y = x + 1

Step-by-step explanation:

D is the answer because the slope is 1 and the y-intercept is 1

Name the triangle as described

Answers

Answer:

scalene triangle

Step-by-step explanation:

Graph question
f(x)=3/5x-5
two points of function

Answers

Step-by-step explanation:

1) plot a point at (0,-5)

2) count 3 units up and 5 units to the right, plot the new point

3) connect the points with a straight line

What is the vertex of f(x) = 3Ix-2I +4?

Answers

Answer: (2,4)

Step-by-step explanation:

Vertex

|0-2| = 0

|-2| = 0

The graph is shifted 4 units up so therefore (2,4) is the vertex

6/24 divided by 12/16 show work please

Answers

1/3


6/24= 1/4
12/16=3/4

(1/4)/(3/4)= 0.3333 repeated which is 1/3

The value when 6/24  is divided by 12/16 is equal to 1/3.

To divide the fraction 6/24 by 12/16, we can simplify the problem by multiplying the first fraction by the reciprocal of the second fraction.

Reciprocal of 12/16 is 16/12.

So, the division can be written as:

6/24 ÷ 12/16 = 6/24 × 16/12

6/24 = (6 ÷ 6) / (24 ÷ 6) = 1/4

16/12 = (16 ÷ 4) / (12 ÷ 4) = 4/3

Now, we have:

1/4 × 4/3

To multiply fractions, we multiply the numerators together and the denominators together:

(1 × 4) / (4 × 3)

= 4/12

The fraction 4/12 by dividing both the numerator and denominator by their greatest common divisor, which is 4:

(4 ÷ 4) / (12 ÷ 4)

= 1/3

Therefore, 6/24 divided by 12/16 is equal to 1/3.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ6

I NEED HELP WITH PRECALC PLEASE

Answers

Answer: First question: D, Second question: A

Step-by-step explanation:

Note: I'm not so good at expanding so I'll just solve it :)

So this leaves either C or D

Apply the sum rule:

8-70=-62

The only one that gives a negative sum is D

For the second picture, the one you have chosen is correct

a1 = 3 and r = -5 so:

an = 3/5 * (-5)^n

Plugging in 8 for n (the first choice) we get the given term: -234,375

Answer:

(d)  2 +(-5) +(-12) +... (a)  a8

Step-by-step explanation:

1.

Putting n = 0 and n = 1 into the expression being summed will show you which series is correct.

  2 -7n for n=0 is 2 -7·0 = 2

  2 -7n for n=1 is 2 -7·1 = -5

The series of the last choice (d) is correct.

__

2.

The given sequence is exponential with a first term of 3 and a common ratio if -5. Then the n-th term is ...

  an = 3(-5)^(n -1)

We want to find n for an = -234,375.

  -234375 = 3(-5)^(n-1)

  -78125 = (-5)^(n-1)

For n to be a real number, we must have n even. In that case, the value of n is equivalent to the value that is the solution to ...

  78125 = 5^(n -1)

Taking logs of both sides, we get ...

  log(78125) = (n -1)·log(5)

  log(78125)/log(5) = n -1 . . . . . . . . . . . . divide by log(5)

  n = 1 +log(78125)/log(5) = 1 +7 = 8 . . . add 1 and evaluate

-234,375 is the 8th term of the sequence.

The hypotenuse is NOT located across from the right angle

True or false

Answers

The statement, The hypotenuse is NOT located across from the right angle is false.

What is a right angled triangle?

A right-angled triangle is a type of triangle that has an angle that measures 90 degrees. The triangle has three sides. The hypotenuse is the longest side of a right-angled triangle. Other sides are the base and the length. The sum of sides in a a right-angled triangle is 180 degrees.

Please find attached an image of a right-angled triangle. To learn more about  a triangle, please check: https://brainly.com/question/9329354

An 80 ounce bottle of apple juice contains 32 ounces of water and 64 ounce bottle of orange juice has 48 ounces of water which juice has a greater percent of water?

Answers

The 64 ounce bottle of orange juice would have the greater percentage of water (75%) while the bottle of apple juice has only 40%

I need help!! 6-10!!!!!!!!!!!!!!!!

Answers

It is -4 have a good day

Simplify. x+y -x²-y²/x-y

Answers

X=222 y=58 nngvvhhydvkuvv

The designers of a new website expect the number of visitors to the site to double each month. There were 600 visits to the site the first month. Which function can be used to predict the number of visitors during month m

Answers

The exponential function used to predict the number of visitors during month m is [tex]y = 600(2)^m[/tex]

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let y represent the number of visitors during month m.

There were 600 visits to the site the first month and they double each month, hence:

a = 600, b = 2

The exponential function is given by:

[tex]y = 600(2)^m[/tex]

Find out more on exponential function at: brainly.com/question/2456547

Rewrite the equation in slope-intercept form. Then identify the slope and the y-intercept.

x + 3y = 6

Equation:

Slope:

Y-intercept (written as an ordered pair):

Answers

See attached picture for the answer

x+3<9 answer pls 2x+5<12

Answers

Answer:

first one: x<9 second: x<3.5 or 7/2

Step-by-step explanation:

first: substract 3 from both sides

second: substract 5 and then divide by 2

In 2014, the Centers for Disease Control and Prevention reported the average human life span in the United States as
77.2 years for men and 85 years for women. Calculate how much longer, on average, U.S. women live than men in
seconds.
Express your answer in seconds.

Answers

Answer:

7.8

Step-by-step explanation:

subtract 85 - 77.2

what is most likely to be represented by the number -40

Answers

Answer:

You tell me the question properly and i will edit this and put answer

Step-by-step explanation:

Until then bye

Answer:

Read Explanation Below

Step-by-step explanation:

So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)

1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.  

The population in a major metropolitan city is given by the formula
P(t)=5.leº.0111
where t is measured in years since 2000 and P(t) is measured in millions.
What does the model predict the population is in the year 2015?
Interpret your result with a complete sentence.

Answers

Answer:

The rat population in a major metropolitan city is given by the formula n(t)=67e^0.035t where t is measured in years since 1994 and n(t)is measured in millions.

Select all the correct answers.
Which equations have a greater unit rate than the rate represented in the table.

Answers

We need slope/rate of the table

(3,2)(6,4)

[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4-2}{6-3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{2}{3}[/tex]

Slopes of all options

5/7=25/213/5=9/151/37/9 7/11=21/33

Option D is correct

Option

please help before it's Monday ​

Answers

Answer:

Mateo's data shows a negative association

Step-by-step explanation:

Okay, so the y-axis is his amount of typos. The x-axis is the number of pages.

We can clearly see the typos found number increasing through the number of pages. Which is bad :/

Hope this helps :)

Which expression is equivalent to 3(2t + 6) – 4t?
A. 8t
B. 20t
C. 2t +6
D. 2t +18
HELP PLS

Answers

Answer:

b part 20 t or i think c part 2t +6

It’s D I used quick math

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

C or the third option.

Step-by-step explanation:

The equation is y = 4x - 4

Hope this helps! Pls give brainliest!

Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed?
18 divided by StartFraction 2 Over 9 EndFraction = 81
18 times StartFraction 2 Over 9 EndFraction = 4
StartFraction 2 Over 9 EndFraction divided by 18 = StartFraction 1 Over 81 EndFraction
StartFraction 9 Over 2 EndFraction divided by 18 = one-fourth

Answers

Answer:

18 times StartFraction 2 Over 9 EndFraction = 4

Amount of almonds = 18 × [2/9]

Amount of almonds =  4 almonds

Step-by-step explanation:

Given:

Number of mixed nuts = 18

Probability of almonds = 2/9

Find:

Amount of almonds

Computation:

Amount of almonds = Number of mixed nuts × Probability of almonds

Amount of almonds = 18 × [2/9]

Amount of almonds = 36 / 4

Amount of almonds =  4 almonds

Answer:

IT'S B I CAN CONFIRM BC I JUST FINISHED THE TEST

Step-by-step explanation:

First National Bank is offering 4.25% interest on an account. Susan makes an
initial deposit of $20,000. Calculate the interest camed over 20 years if the
bank...
a) Calculates the interest using simple interest (I -- Prt).
b) Calculates the interest using compound interest compounded annually.
c) Calculates the interest using compound interest compounded quarterly.
d) Calculates the interest using compound interest compounded monthly.

Answers

The simple interest earned is  $17,000.

The interest earned with annual compounding is $25,978.13.

The interest earned with quarterly compounding is $26,583.59.

The interest earned with monthly compounding is $26,722.72.

The formula that can be used to determine simple interest is: principal x time x interest rate

$20,000 x 20 x 0.0425 = $17,000

The formula that can be used to determine the interest earned with compounding is: Future value - amount invested.

The formula that can be used to determine future value is:

FV = P (1 + r/m)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

Annual compounding = $20,000 x (1.0425)^20 = $45,978.13

Interest earned = $45,978.13 - $20,000 =  $25,978.13

Quarterly compounding = $20,000 x (1 + 0.0425/4)^80 = $46,583.59

Interest earned = $46,583.59  - $20,000 = $26,583.59

Monthly compounding = $20,000 x (1 + 0.0425 /12) ^240 = $46,722.72

Interest earned = $46,722.72 - $20,000 = $26,722.72

To learn more about future value, please check: https://brainly.com/question/18760477

the 9-dight number that identifies the bank that a check came from is called ​

Answers

Answer:

im pretty sure its the routing number

Step-by-step explanation:

trust me

How many solutions does the system of equation have?

2x + 3y = 9 and y = 2/3x - 2

A.
One solution

B.
Two solutions

C.
Infinitely many solutions

D.
No solutions

Answers

Answer:

A. One solution

Step-by-step explanation:

y = 2/3x - 2 has slope of 2/3

2x + 3y = 9

       3y = -2x + 9

         y = (-2/3)x + 3 has slope of -2/3

lines with different slopes have only ONE intersection

Determine the number of solutions you will have for the system 4y + x = 16 and y = 4 – x.

Answers

Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:

D: one solution

The equations are:

[tex]4y + x = 16 \rightarrow x = 16 - 4y[/tex]

[tex]y = 4 - x \rightarrow x = 4 - y[/tex]

Equaling both equations for x, we have that:

[tex]16 - 4y = 4 - y[/tex]

[tex]3y = 12[/tex]

[tex]y = \frac{12}{3}[/tex]

[tex]y = 4[/tex]

[tex]x = 4 - y = 4 - y = 0[/tex]

Hence, the system has one solution, which is (0,4), and option d is correct.

You can learn more about the number of solutions a system of equations has  at https://brainly.com/question/25960609

PLEASE HELP !!!


x^2-34=16x

Answers

Answer:

Complete the SquareSolve for x over the real numbers:(x - 8)^2 - 100 = 0

Add 100 to both sides:(x - 8)^2 = 100

Take the square root of both sides:x - 8 = 10 or x - 8 = -10

Add 8 to both sides:x = 18 or x - 8 = -10

Add 8 to both sides:Answer:  x = 18 or x = -2

Step-by-step explanation: DONT TRUST THIS THOUGH

find the maclaurin series of the given function f(x)=ln(1-x)

Answers

Answer:

[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]

Step-by-step explanation:

1) the rule is:

[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]

2) according to the rule above:

[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]

finally,

[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]

If Janet earned e extra credit points. Mona earned 32 fewer extra credit points than Janet.

What is the expression that shows how many extra credit points Mona earned?

How many terms are in the expression?

Answers

e-32 is equal to the number of points Mona earned. There are two terms in this expression.

Triangle ABC with vertices A(-3, 2), B(-1, 7), and C(6.1) is reflected over x-axis. Give the coordinates of the image.
A’
В’
C’

Answers

Answer:

how do I give the coordinates of the image

Step-by-step explanation:

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Alpha and Beta Companies can borrow for a five-year term at the following rates: Alpha Beta Moodys credit rating Aa Baa Fixed-rate borrowing cost 10.5% 12.0% Floating-rate borrowing cost LIBOR LIBOR + 1% This time assuming more realistically that a swap bank is involved as an intermediary. Assume the swap bank is quoting five-year dollar interest rate swaps at 10.7% - 10.8% against LIBOR flat. Consequently, Alpha will issue fixed-rate debt at 10.5% and Beta will issue floating rate-debt at LIBOR + 1%. Alpha will receive 10.7% from the swap bank and pay it LIBOR. Beta will pay 10.8% to the swap bank and receive from it LIBOR. If this is done, Alphas floating-rate all-in-cost is: 10.5% + LIBOR - 10.7% = LIBOR - .20%, a .20% savings over issuing floating-rate debt on its own. Betas fixed-rate all-in-cost is: LIBOR+ 1% + 10.8% - LIBOR = 11.8%, a .20% savings over issuing fixed-rate debt. Is that analysis correct? Help help help help history Countercurrent FlowWhich filter regions have a concentration gradient between the blood and dialysate?Check all that apply. Plot /\ABC: B(-1,-1), and C(4,-1)JUST LOOK AT PHOTO AND PLEASE HELP Given the function f(x) = 10x + 8, find each of the following.f(7)=f(-8)=f(0)= What is the slope of the line that passes through the pair of points?(-7,8), (-4, 20)0 -40.250.33 Questions 1 3 5 7 range and graph not needed Can we get less ads please i dont like this How might Roller Coaster Physics have been different if the authors purpose had been to warn readers of the dangers of roller coasters? Security is called because there is a disruptive person in the ER. When security arrives, they find a young man sitting silently in a chair. They grab the man and begin to yell at him for being disruptive. This is an example of _____.ineffective communication because it involved aggressioneffective communication because the security guard needed to take control of the situation before others became annoyedineffective communication because it involved a ER patient who is not welleffective communication because the patient was disruptive A(n) _____ is a formal meeting between an employer and a job applicanta.background checkb.gatekeeperc.interviewd.personality testPlease select the best answer from the choices providedABCD describe how the greenhouse effect interacts with the hydrosphere, atmosphere, and cryosphere A line with a slope of 8 goes through the point (2, 27). It also goes through the point (-2,p). What is the value of p?. Find the hypotenuse of an isosceles right triangle when the legs each measure 3 square root of 2 inches. what two states have their state name in their capital 9.The force of gravity between two asteroids is 10,000 newtons (N).When the distance between the asteroids is halved, what will be the force of gravity between them? Why is Texas a battleground state in the civil war The Nuremberg Laws stated all Jewish citizensin Germany had to wear what?A. A German flag.B. A yellow star of David.C. A black hat. Unit TestActive1234567810TIME REMAIN01:54:1For a reader toItwo or more things, the reader must consider how the things are different. Colton wants to buy a trampoline in 2 months the trampoline costs $228, if he saves each month how much will he have to save each month?