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My guess is D. is it right?

Straightforward. First, assign variables to the unknown values:

Let H = Henry’s money
Let B = Badminton Racket
Let W = Watch

We are given:
B = 3/8 H
W = 1/8 H
B = W + $14

So:
Substitute B and W:
3/8 H = 1/8 H + $14 [Cost of Badminton racket = $14 more than cost of watch]

Solving:
3/8 H - 1/8 H = $14
(3/8–1/8) H = $14
2/8 H = $14
1/4 H= $14
H = 4 * $14 = $56 [Henry’s total money]
B = 3/8 * $56 = $21 [Cost of badminton racket]
W = 1/8 *$56 = $7 [Cost of watch]

Check:
B = W + $14
$21 =? $7 + $14
Yes! 

Henry spent B+W on his items altogether, which is $21+$7 = $28.

Another way of expressing it is:
2/8 H = $14
1/8 H = $7

B+W = 3/8 H + 1/8 H = (3+1)/8 H = 4/8 H = 1/2 H.
H = $56
B+W = 1/2 H = $28

The answer is right in the question: The minimum value of f(n) is 2.

How much money did Henry spend on the two items altogether?

Hello Guest!

Henry owns x.

\(\color{blue}\frac{x}{8}+$14=\frac{3x}{8}\\ \frac{3x-x}{8}=$14\\ 2x=$112\)

\(x=$56\)

\((\frac{1}{8}+\frac{3}{8})\cdot $56=\color{blue}$28\)

$28 did Henry spend on the two items altogether.

  !

Need to know how long Quinn was gone after he turned on the A/C

The square root of 2x is greater than 3 and less than 7. How many integer values of x satisfy this condition?     

3 squared is 9 so 2x must be greater than 9, therefore the smallest value 2x can be is 10 

7 squared is 49 so 2x must be less than 49, thererfore the greatest value 2x can be is 48  

The above can be written as 10 < 2x < 48   

We were talking about 2x above, so we must halve it to find x   

So 5 < x < 24 satisfies the stated condition 

Between 5 and 24 inclusive are 20 integers   

_.

Clarence has a certain sum of money. He needs an extra $44 in order to buy

3 jerseys. After receiving $108 from his father, he is able to buy 5 jerseys.

(a)   How much is the cost of one jersey?

(b)   How much money does Clarence have at first?  

Let X be the original certain sum of money  

X + 108 = 5 jerseys  

X +   44 = 3 jerseys     now subtract this one from the one above   

        64 = 2 jerseys  

        32 = 1 jersey      This is the cost of one jersey  

Plug the value of J back into one of the first equations  

X + 108 = 5 • 32  

X + 108 = 160  

          X = 52               This is how much money he had to start with  

_.

3/8 ths x    on racket    -    1/8x on watch   = 14

3/8 x - 1/8 x = 14

2/8 x = 14

x = 14 * 8/2 = 14 * 4 = 56 dollars  initially   

(3/8 + 1/4)  56 = 35 dollars total

Slope,m, between these two points is found by   (y1-y2) / (x1-x2)           then perpindicular slope = - 1/m

432+180 = 612 (Ans)

  c = 252 + m

  1/4 c = 3/5 m        Sub in the red equation for c

1/4 (252 + m) = 3/5 m

  63 + 1/4 m = 3/5 m

    63 = 7/20 m

    m = 180     then c = 432

help I am in 3rd grade what is 9 x 8? I have to show my work please tell me    

There is no actual "work" to be shown.  You just have to know.  You have to memorize / learn the multiplication tables.  

I don't know when multiplication tables are introduced to students nowadays.  When I was in 6^th grade, our teacher Mr Freeman, for minor classroom infractions would assign us to write out a certain number of complete sets of multiplication tables, the times 2's all the way up to the times 12's.  For major infractions, he had a wooden paddle which he used with no small amount of vigor.  

_.

(1) A circle centered at P with radius 10 and a circle centered at Q with radius 8 are externally tangent.   Find PQ.    

If you'll draw this, you'll easily see that it's the sum of the two radii, namely 10 + 8 = 18  

(2) How many common external tangents do two circles have?    

You didn't say if this is specifically in reference to the two circles in (1).  Well, anyway: 

If two circles are overlapping, they can have 2 common tangents.  

If two circles are externally tangent, they can have 3 common tangents.  

If two circles are some distance apart, they can have 4 common tangents. 

_.

answer = -8

-1x+8=-5x-24

4x=-32

x=-8

625 = 5⁴

log₅ 625  = 4

"The temperature of the pot of water is shown."

    You cannot answer this question without this information....... sorry !

You will need the initial temperature of the water to answer these Q's...

a = p + 29

remove 1/3 of the apples, leaving 2/3

2/3 a = p+ 5           Sub in the red equation for a

2/3 (p+29) = p+5

p = 43     then   a = 72

there is not one

a.)  18.45 trillion  is     18 450 000 000 000.00      =  ( move decimal 13 places) =  1.845 x 10¹³         

b.)  40 000   =   4.0 x 10⁴

c.)  What do you think?.......

Misssing graph or table .....

EP: 10,000 are annual deposits at the beginning of each year:

P=10000;   R=0.10;  N=3;    FV=P*((1 + R)^N - 1)/ R * (1 + R

FV = $ 36,410 - Balance of the retirement fund at the end of the 3rd year.

2^100 - 1==1 267650 600228 229401 496703 205375 (31 digits) = 3 × 5^3 × 11 × 31 × 41 × 101 × 251 × 601 × 1801 × 4051 × 8101 × 268501

The two smallest factors are: 3 x 5 ==15