A man is 61 5/12 inches tall and his daughter is 58 4/9 inches tall. How much taller is the man?

Answers

Answer 1

Given:

Height of a man = [tex]61\dfrac{5}{12}[/tex] inches

Height of the daughter = [tex]58\dfrac{4}{9}[/tex] inches

To find:

How much taller is the man?

Solution:

It this problem, we need to find the difference between the heights of the man and his daughter.

Difference between the heights [tex]=61\dfrac{5}{12}-58\dfrac{4}{9}[/tex]

                                                      [tex]=\dfrac{732+5}{12}-\dfrac{522+4}{9}[/tex]

                                                      [tex]=\dfrac{737}{12}-\dfrac{526}{9}[/tex]

Taking LCM, we get

Difference between the heights [tex]=\dfrac{3(737)-4(526)}{36}[/tex]

                                                      [tex]=\dfrac{2211-2104}{36}[/tex]

                                                      [tex]=\dfrac{107 }{36}[/tex]

                                                      [tex]=2\dfrac{35 }{36}[/tex]

Therefore, the man is [tex]2\dfrac{35}{36}[/tex] inches taller than his daughter.


Related Questions

Question and Answers below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇

Please answer ALL questions in order for BRAINLIEST! NO links or else you will be reported and maybe even get banned.

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Find the volume of the triangular prism:

-27yd^3

-72yd^3

-240yd^3

-360yd^3

Answers

Answer: 72

Step-by-step explanation:

[tex]V=\frac{1}{2}(3)(8)(6)=\boxed{72}[/tex]

150 adults complete a survey.
80 are women.
Write the ratio

in its simplest form.
men : women

Answers

Answer:

7:8

Step-by-step explanation:

there are 80 women so there has to be 70 men

simplified that is 7 men to 8 women

7 men 8 women.
Ratio: 7:8

If you use the amount of flour that was used on Day 4, how many
cups of flour will you use?

Answers

I need a photo to help you can you send me one?

if f(x) = 5 + 4( x - 4)^2

then what is f(7)

Answers

Answer:

41

Step-by-step explanation:

f(7) = 5 + 4(7-4)²

= 5 + 4(3²)

= 5 + 4(9)

= 5 + 36

Answer:

f(7)=39

Step-by-step explanation:

f(7)=5+4((7)-4)^2

=5+4(3)^2

=5+4(9)

=5+36

=39

Please help me (NO LINKS)

Answers

Answer:

[tex]0.25( \frac{1}{4} ) \\ 0.50( \frac{2}{4}) \\ 1.25(1 \frac{1}{4} )[/tex]

hope it's what u want

How many different ways can a race with 4 runners be completed? (Assume there is no tie.)

Answers

Answer:

24

Step-by-step explanation:

1234, 1243, 1324, 1342, 1432, 1423, 2134, 2143, 2314, 2341, 2413, 2431, 3214, 3241, 3124, 3142, 3412, 3421, 4321, 4312, 4231, 4213, 4132, 4123

There are 24 different ways can a race with 4 runners be completed.

What is Combination?

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

There are 4 runners.

Hence, the number of different ways the race can be completed is:

⇒ 4!

⇒ 4 × 3 × 2 × 1

⇒ 24

Thus, There are 24 different ways can a race with 4 runners be completed.

Learn more about the combination visit:

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HELP ME PLISSSS NO LINK I SWEAR IM SO MAD RN YOU KEEP TAKING POINTS FROM ME WITH THESE LINK STOP!!!!!!!!!!!!!!!!!!!!!!!!!!!!! JUST ANSWER THE DAMB QUESTION

Answers

50*36*2=3600

(48*14/2)2=672

Now time to add

3600+672=4272

4272 square inches

Guys help me with this quick pls​

Answers

Answer:

[tex]117 = 66 + \beta \\ \beta = 51[/tex]

In ΔNOP, n = 800 inches, ∠P=97° and ∠N=32°. Find the length of o, to the nearest inch.

Answers

9514 1404 393

Answer:

  1173 in

Step-by-step explanation:

The measure of angle O is ...

  O = 180° -N -P = 180° -32° -97° = 51°

The law of sines tells you ...

  o/sin(O) = n/sin(N)

  o = n·sin(O)/sin(N) = (800 in)·sin(51°)/sin(32°)

  o ≈ 1173 in

x > -3 For each statement list three numbers that would make a solution to the inequality true.

Answers

Answer:

x = -2

x = -1

x = 0

Step-by-step explanation:

Find three numbers to the left of -3 on the number line

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

a)Solve for x:
y = 130 − 4x

b) What is the value of x when y = 120

Answers

Answer:

[tex]x = \frac{5}{2}[/tex]

Step-by-step explanation:

y = 130 - 4x

======================

120 = 130 - 4x

-10 = -4x

x = [tex]\frac{-10}{-4} =\frac{5}{2}[/tex]


f(x) = x + 4; find f(-8).
A-12
B -4
C 12
D 4

Answers

Answer:

A. -12

Step-by-step explanation:

When it says, "find f(-*)" it is telling you that that is f(x), so you're now basically solving:

-8=x+4

Which, would have to be -12.

For what values of x is the expression below defined?

Answers

Answer:

x > 0

Step-by-step explanation:

Given :-

√[3x²] ÷ √[4x ]

And we need to find the value of x for which the expression is defined . The expression is ,

[tex]:\implies[/tex] [3x²] ÷ [4x]

As we can see that x is inside the squareroot. So for defining the expression the value of x should be Greater than 0 . As negative inside the squareroot will give rise to imaginary numbers.

Solution :-

[tex]:\implies[/tex] x > 0

In interval notation :-

[tex]:\implies\bf x \in ( 0 , \infty) [/tex]

Therefore x should be Greater than 0 .

if -2x+ y =6 and -7x-4y=-8 are true equations what would the value of -9x-3y

Answers

Answer:

[tex]-\frac{106}{5} or -21.2[/tex]

Step-by-step explanation:

First we would have to get x and y-values by solving systems of equations:

isolate one of the variable from any of the first 2 equations given:

-2x+ y =6 would be y = 2x + 6 when y is isolated.

now plug this equation in for the y given in the second equation:

-7x -4(2x + 6) = -8

Now solve to get the x-value,

-7x - 8x - 24 = -8

-15x - 24 = -8

-15x = 16

x = [tex]-\frac{16}{15}[/tex] or -1.06

To solve for y-value, substitute the gotten x-value in any of the 2 equations and solve:

y = 2([tex]-\frac{16}{15}[/tex]) + 6

y = [tex]\frac{58}{15}[/tex] or 3.86

Now that we have the x and y-values, substitute them in for the 3 equation given:

-9([tex]-\frac{16}{15}[/tex]) -3( [tex]\frac{58}{15}[/tex])

=> [tex]-\frac{106}{5}[/tex] or -21.2 = Final Answer

Hope this helps!

5. Zhao purchased a used car for $11,500. This make and model used car
straight line depreciates to zero after 9 years. (a) Identify the coordinates
of the x and y intercepts. *

Answers

Answer:

(9, 0)

(0, 11200)

Step-by-step explanation:

The x - intercept is the value of x when y = 0 ; similarly, the y - intercept is the value of y, when x = 0

From the given relation :

y = price, x = number of years

Price after 9 years of usage, the price of car is depreciated to 0

Hence,

x = 9, y = 0

(9, 0)

At purchase, the value of car is 11,200 ;

At this price, the number of years of usage of car is 0

Hence ;

x = 0 ; y = 11200

(0, 11200)

Help is needed please????

Answers

Answer: let F(x)=y

y=2x+5

Step-by-step explanation:

What is nine divided by two

Answers

Answer: 4.5

Step-by-step explanation:

9/2 = 4.5

have a good day. you have to use division, and plus, 4.5 + 4.5 = 9

PLEASE HELP ME I AM FAILING. I WILL GIVE BRAINLIEST

Answers

Answer:

1) BC = 9

2) PQ = 5.4 (5.39)

3) UW = 6.7 (6.71)

Step-by-step explanation:

Have a nice day!

6) WILL MAKE BRAINLIEST

write the slope-interception form of the equation of each line.

Answers

the answer would be C, y=2x-1

What is the missing length?
6 mi
t
area =
60 mi2

Answers

Answer:

10 mi

Step-by-step explanation:

6mi x t = 60mi^2

this is basically

6 x t = 60

divide 6 to both sides

t = 10

8,546.54 to nearest 1,000.00​

Answers

9,000

Step by step: remember 5 or higher raise the score 4 or less let it rest. You underline the thousands place in this situation then look back to the number right to it. Since that number is 5 you must change the 8 to a 9. All the other numbers to the right if 8 is now 0.

PLEASE PLEASE HELP WILL GIVE GIVE BRAINLIEST PLS!!!!!!!!!! Create a factorable polynomial with a GCF of 3x. Rewrite that polynomial completely factored. (10 points)

Answers

Answer:

Step-by-step explanation:

you can think in a reverse way:

Take

[tex]3x(x^2+2x+3y^2)= 3x^3+6x^2+9xy^2.[/tex]

So the answer is

[tex]3x^3+6x^2+9xy^2 = 3x(x^2+2x+3y^2)[/tex]

14. A cone has twice the base diameter and
three-fourths the height of a cylinder. Can
you tell what the relationship between the
volume of the cone and the volume of the
cylinder is? Explain your reasoning.

Answers

Answer:

1+1 is cannot be

Step-by-step explanation:

jajauajhwhahwwhhahwhauwu

Solve -5x2 - 20x + 35 = 30 by completing the square.

Answers

Answer:

x=−2−√5 or x=−2+√5

Step-by-step explanation:

-5x2 - 20x + 35 = 30

Answer = x=−2−√5 or x=−2+√5

The volume of this sphere is 904.32 cubic inches. What is the surface area of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

A = 4 pi R^2     V = 4/3 pi R^3

A / V = 3 / R

Also, R = (3 * V / 4 * pi)^1/3 = (3 * 904.32 / (4 * pi))^1/3 = 6 in

So A = 3 / 6 * V = 1/2 * 904.32 = 452.16 in^2

The surface area of the sphere is S = 452.39 inches²

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the volume of the sphere be V = 904.32 inches³

Let the surface area of the sphere be S

And , Volume of a Sphere = ( 4/3 ) πr³

In this case, we are given that the volume of the sphere is 904.32 cubic inches, so we can set up an equation:

904.32 = (4/3)πr³

Solving for r:

r³ = (3/4) x (904.32 / π)

r ≈ 6.0 inches (rounded to one decimal place)

Now that we know the radius, we can use the formula for the surface area of a sphere:

A = 4πr²

Plugging in the value of r:

A = 4 x 3.14 x 6.0²

A ≈ 452.39 inches² (rounded to two decimal places)

Hence , the surface area of the sphere is approximately 452.39 square inches.

To learn more about sphere click :

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by how much is the product of 9/5 and 33/4 greater than 5

Answers

Answer:

The product of 9/5 and 33/4 is 9.85 units larger than 5.

Step-by-step explanation:

To determine by how much is the product of 9/5 and 33/4 greater than 5, the following calculations must be performed:

((9/5) x (33/4)) - 5 = X

(1.8 x 8.25) - 5 = X

14.85 - 5 = X

9.85 = X

Therefore, the product of 9/5 and 33/4 is 9.85 units larger than 5.

prove sec^2x/tanx=secxcscx

Answers

Answer:

Is this even a questions?

i will give Brainiest if your right

Answers

Answer:

J. 2*3*5^3

Step-by-step explanation:

In an isosceles triangle, the base angles measure 65°. Which of the following expressions is a way to calculate the measure of the third angle?​

Answers

Answer:

its A

Step-by-step explanation:

its A ️ ‍♀️ ️ ‍♂️ ️

180-2(65). The base are both 65 and a triangle adds up to 180.

Find value of x for both

Answers

Answer:

19??????????????????

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