The height, in inches, of each of three boys is 54.0, 48.5, and 46.0, respectively. The height of the fourth boy is denoted by h inches. The average height, A, of the 4 boys can be expressed as a function of h in the form:
A(h) = (c + h)/d

1. What is the domain for the function A(h)?
2. The average height of all 4 boys is 50.5 inches. What is the height of the fourth boy?

Answers

Answer 1

Answer:

53.5

Step-by-step explanation:

c = the height of the first 3 boys.

c = 54 + 48.5 + 46

c = 148.5

Now you add a fourth boy. His height is h.

A(h)= (c + h)/d      

d = the total number of boys which is 4.

The new average is 50.5

A = (c + h)/d

50.5 = (148.5 + h) / 4            Multiply both sides by 4

202 = 148.5 + h                    Now subtract 148.5 from both sides

202 - 148.5 = h

h = 53.5


Related Questions

The average person blinks about 9 times per minutes. At this rate, about how many blinks does the average person take in 30 minutes?

Answers

Answer:

270 blinks in 30 minutes

Step-by-step explanation:

9 x 30 = 270

hope this helps :)

Elsa, Hans, and Charlie have a total of in their wallets. Hans has less than Elsa. Charlie has times what Hans has. How much do they have in their wallets?

Answers

Answer:

Elsa = x = $28

Hans = y = $26

Charlie = z = $56

Step-by-step explanation:

Elsa, Hans, and Charlie have a total of $106 in their wallets. Hans has $6 less than Elsa. Charlie has 2 times what Hans has. How much do they have in their wallets?

Let us represent.

The amount of money

Elsa = x

Hans = y

Charlie = z

Elsa, Hans, and Charlie have a total of $106 in their wallets.

= x + y + z = 106

Hans has $6 less than Elsa.

y = x - 6

Charlie has 2 times what Hans has.

z = 2x

Hence:

x + x - 6 + 2x = 106

4x - 6 = 106

4x = 106 + 6

4x = 112

x = 112/4

x = 28

Elsa = x = $28

Hans = y = $26

Charlie = z = $56

What is the answers to 12M+7+M+20

Answers

Answer:

13M+27

Step-by-step explanation:

Answer:

13m +27

Step-by-step explanation:

12M+7+M+20

=12M+M+7+20

=13M+7+20

=13M+27

Help me with this!! Will mark Brainliest!!!

Answers

Answer:NO!!

Step-by-step explanation:

RS distance of 2 while TU distance of 1

A number m increased by 5 is 7

Answers

Answer:

m+5=7

Step-by-step explanation:

a number=m

increased by 5= +5

is 7 = =7

(a number) 5 (increased by 5) +5 (is 7) =7

                  5                             +5          =7

Simplify the following rational expression.
20k^4 – 26k^3/12k^4 + 8k^3
Which values of k: make the expression undefined?

Please help ASAP

Answers

Answer:

dont know how to solve.

Step-by-step explanation:

sorry

Answer: 1.60000512 * 10^17

Step-by-step explanation:

Gwen bought a 2 1/4 pound bag of Finch bird seed and 3 1/2 pound bag of parrot bird seed . The total cost for the two bags was $16.79 (Find the cost per pound if it is the same for both types of bird seed)

Answers

Answer:

Software comprises the entire set of programs, procedures, and routines associated with the operation of a computer system. The term was coined to differentiate these instructions from hardware—i.e., the physical components of a computer system.

Answer:

$2.92 would be the cost per pound

A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 23 ​pennies, 22 ​dimes, and 20 quarters. The rest of the coins are nickels. There are 79 coins in all. How many of the coins are not​ nickels? If n represents the number of nickels in the​ jar, what equation could you use to find​ n?

Answers

Answer:

1. 65 coins

2. 79 - (23 + 22 + 20) = n

Step-by-step explanation:

You can use the expression 23 + 22 + 20 to get the amount of coins that are not nickles. And for two? Try it yourself.

Hope this helps. Have a nice day.

7. Which statement best describes the function
y = 2x^2 + 3 ?
A. The function is nonlinear.
B. The function is linear.
C. The function is linear at some points and nonlinear at other points.
D. Not enough information is given to decide.

Answers

answer is D i’m a math teacher

Find the value of the lettered angles in each of the following ( see image ).

Please show workings.

The only given Angles are 40° , 60° , 10°​

Answers

Answer:

Same arc intercepted, the angles are equal

t = 10°u = 60°v = 40°

Cyclic quadrilateral has supplementary opposite angles

s + v + 60° + 10° = 180°s + 40° = 110°s = 70°

And s and r intercept same arc, therefore:

r = s = 70°

solve for x then, find m < FDG and m <GOF. ​

Answers

Answer:

choice 4) x = 27, ∠FDG = 62°, ∠GOF = 118°

Step-by-step explanation:

2x + 8 + 4x + 10 = 180°

6x + 18 = 180

6x = 162

x = 27

∠FDG = 2(27) + 8 = 62°

∠GOF = 4(27) + 10 = 118°

3 over 9 + 2 over 3

Answers

Answer:

1

Step-by-step explanation:

3/9 is equal to 1/3 so 1/3+2/3= 3/3 making it 1 whole

Answer: 3/9+2/3=1

3/2

+ 2/3

____

1

Question 3
The size of a TV is usually given by the length of the screen diagonal. If the screen dimensions
of a TV are 16 inches by 12 inches, what size is this TV?
Answer

Answers

Answer:a

Step-by-step explanation:

It’s an step by step problem

23. Which point lies in Quadrant IV?
Х
а.
(2,8)
b. (-4,1)
c. (5.-7)
d. (-3,0) I

Answers

the answer is to this question is c (5,-7)

Find the perimeter and the area of the figure.
6 cm
7 cm
9.5 cm
6.5 cm

Answers

The perimeter and the area of the composite figure are 29 centimeters and 49.5 square centimeters, respectively.

How to determine the perimeter and the area of the figure

In this problem we have the representation of a composite figure, the result of the combination of a rectangle and a triangle. The perimeter of the figure is the sum of the sides and the area of the composite figure is the result of suming the areas of the rectangle and triangle:

Rectangle

A = b · h

Triangle

A = 0.5 · b · h

Where:

b - Baseh - HeightA - Area

And the perimeter and the area of the composite figure are now computed:

Perimeter

p = 6 cm + 7 cm + 6.5 cm + 9.5 cm

p = 29 cm

Area

A = 0.5 · (6 cm) · (2.5 cm) + (6 cm) · (7 cm)

A = 7.5 cm² + 42 cm²

A = 49.5 cm²

To learn more on composite figures: https://brainly.com/question/23082031

#SPJ1

what is 4[tex]x^{2}[/tex]-12x+9=0

Answers

Answer:

Step-by-step explanation:

Answer: x = 1.5

Step-by-step explanation:

Simplify the following surd expressions

a) 5√5 - 2√5

b) 8√7 + 3√7​

Answers

Answer:

a)3√5

b)11√7

is answer.

6.) *
Is the sequence arithmetic? If so, find the common difference.
2.1, 7.5, 12.9, 18.3
no, 3.5
no, 5.1
yes, 9.6
yes, 5.4

Answers

Answer:

the common difference is 5.4 and yes, this is an arithmetic sequence

Step-by-step explanation:

Each new term is derived by adding 5.4 to the previous term:

2.1 + 5.4 = 7.5,

7.5 + 5.4 = 12.9,

and so on,

so the common difference is 5.4 and yes, this is an arithmetic sequence.

Eric has 240 coins in his collection. 11\20 of his coins are pennies. 4\20 of the coins are nickels. The rest f the coins are quarters. How many of the coins are quarters? Explain how you got your answer.

Answers

Answer:Number of coins that are quarters =60

Step-by-step explanation:

Total coins in possession of Eric=240

Number of coins that are pennies=11\20 x 240= 132

Number of coins that are nickels=4\20 x 240= 48

Since the rest are quarters,

Number of coins that are quarters =Total coins in possession of Eric -( Number of coins that are pennies+ Number of coins that are nickels)

=240-(132+48)

=240-180

=60

can someone help please

Answers

I believe the answer is B. The y intercept is when x is 0.

Answer:b

Step-by-step explanation:

For positive acute angles A and B, it is know that tan A= 8/15 and sin B= 11/61. Find the value of cos (a+b) in simplest form

Answers

Answer:

812/1037

Step-by-step explanation:

To solve this, we have to use trigonometric identities.

Cos (A + B) is given as Cos A Cos B - Sin A Sin B. And from the question, we have that

Tan A = 8/15.

We know that in a triangle, the Tan angle is represented Opp/Adj and thus the Opp is 8, and the Adj is 15. Using Pythagoras, we have

hyp² = opp² + adj²

hyp² = 8² + 15²

hyp² = 64 + 225

hyp² = 289

hyp = √289 = 17

The identity of Cos is Adj/Hyp and that of Sin is Opp/Hyp.

Cos A = 15/17

Sin A = 8/17

Repeating the same process for B, we have

Sin B = 11/61

adj² = hyp² - opp²

adj² = 61² - 11²

adj² = 3721 - 121

adj² = 3600

adj = √3600 = 60

Cos B = 60/61

Now, using the earlier stated trigonometric identity, we have

cos (a + b) = CosA CosB - SinA SinB

cos (a + b) = 15/17 * 60/61 - 8/17 * 11/61

cos (a + b) = 900/1037 - 88/1037

cos (a + b) = 812/1037

Combine like terms
C + 11d + 7c - 4d

Answers

8c+7d or 7d+8c
is the correct combination of terms
The answers would be...

8c+7d or 7d+8c

(giving brainiest)

real quick one should take someone around 5-7-10 minutes it really depends!

Answers

Answer:

Step-by-step explanation:

E

Map quadrilateral ABCD to quadrilateral A′B′C′D′ with a rotation of 180° about the origin followed by a translation 3 units left and 7 units up.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Shape: Quadrilateral ABCD

Transformations:

180 degrees rotation

3 units left

7 units up

Required

Determine A′B′C′D

The coordinates of ABCD is not given; So, I will solve generally.

Assume the coordinates of ABCD is (x,y)

When (x,y) is rotated 180 degrees, the new point is: (-x, -y)

Solving further:

Translation 3 units left

When a point (x,y) is translated b units left, the new point is (x - b, y).

So:

[tex](-x, -y) ====> (-x - 3, -y)[/tex]

Translation 7 units up

When a point (x,y) is translated h units up, the new point is (x, y + b).

So:

[tex](-x - 3, -y) ====> (-x - 3, -y + 7)[/tex]

Assume that the coordinates of A in ABCD before translation is (2,6).

i.e. A = (2,6)

The image A' will be:

[tex]A' = (-2-3,-6+7)[/tex]

[tex]A' = (-5,1)[/tex]

natasha bought a tennis racket that was marked down by price, p, by 20%

Part A
Write an expression with two terms representing the price Natasha paid

Part B
If the racket was originally priced at $125, how much did Natasha pay?

Natasha paid______ PLEASE SHOW YOUR WORK

Answers

Answer:

$20

Step-by-step explanation:

125 * 20%(0.2)

= $20

___________

125 - 20% = p or 125 - 0.2 = p

What term describes a solution at standard temperature and pressure that is holding the maximum amount of solid that it can before it precipices out.

Answers

A saturated solution.

Please help with #17 & #18 really struggling!

Answers

It's in a photo :))))))))))))))))))))))))

en una ciudad a las 6:00am la temperatura era de 2°C. A lo largo del dia, la temperatura tuvo las siguientes variaciones:

8:00am: disminuyo 4°C
10:00am: aumento 6°C
12:00 pm: disminuyo 2°C
2:00 pm: disminuyo 2°C
4:00 pm: aumento 4°C
6:00 pm: aumento 1°C

¿Cual es la temperatura a las 6:00 pm?

es para hoy tengo 20 minutos plis​

Answers

Answer:

5°C

Step-by-step explanation:

what is the area of this figure​

Answers

Answer:

174.5m

Step-by-step explanation:

So we have to break the shapes down to triangle, rectangle and the small rectangle

Area of rectangle=WxL

Area of triangle= (BxH)÷2

triangle=

(23x11)÷2

=253÷2

=126.5m

rectangle=

9x19

=28m

square#2(the small one)=

5x4

=20m

All:

20+28+126.5

=174.5m

QUESTION : A family of four went out to dinner. Their bill came to $156.98 and they want to leave a 15% tip. How much the tip will be?
please help!!!!

Answers

Answer:

tip = $23.55

Step-by-step explanation:

156.98 x 0.15 = 23.55

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