Pangolin14

This requires finding the DISTANCE between two points. Using the distance formula, for (1,5) and (3,4), we get $\sqrt {5}$, and we also get for (3, 4) and (0, -3) by the distance formula $\sqrt {58}.$ Then we multiply the length times width, $\sqrt{290}$, which cannot be simplified.

I already know that's incorrect, and also, please don't give me the answer, read the problem GUEST!

The favorable possibilities will be 1 choice out of 5, a 1/5 probability of getting a question right, 4/5 for getting a question wrong. Thus by the binomial probability distribution, 

P(8 correct; 2 wrong)

$(1/5)^8 \cdot (4/5)^2 \cdot {10 \choose 8}$

Make sure you see why this works! This is an AND (U) Probability! What is the formula and be sure to include the unfavorable attempts too!!

This gives you a result of $\frac{144}{1953125}$, or $0.000073728,$ or in standard form, $7.3728 \times 10^{-5}$, or $0.0073728$%

Ok, I'll help!

a) 35s+20p=150

b) Because she buys 3 sweaters, her total for sweaters is 35*3=105. [My] equation now is 105+20p=150, where 20p is the total money Holly spends on the sweaters. Subtract 150 from both sides, so 20p=45, and p=2.25. But she can't buy 2.25 pants, so this is the total whole number of pants she can buy without going over her money limit. Therefore it is 2, because the quotient when 45 is divided by 20 is 2.

c) Again, [my] equation is when p=0 35s=150. Holly can buy 1 sweater safely without going over the limit, 2 sweaters, 3, and 4. But when[ I ]reach 5, she can't, as she will spend 15*5=$175 on her sweaters, which is OVER her limit. So the greatest number of sweaters she can buy when she buys no pants is 4.

Absolute values can be written two ways.

They are shown here.

1. 5x-(x-5)

or

2. 5x - -1(x-5)

This translates to:

1. 4x+5

2. 6x-5

where x<5.

Wow, I answered this so soon!

The solutions come in the form (x,y). We can cross out #1 because -3 is clearly not > than -2!

Next, for b, 1+4 =5 which is even more clearly not < than 4!

for C, x+y=4 and it is not <4, it is =4.

So the answer is D, because it fits all the requirements!

First, do $\frac{7}{10} \cdot 2x+2$ and this is cross multiplying! Now multiply this out and solve for x.

If you have a bit of creativity and knowledge of the pythag. theorem, this one will be easy for you. 

I'll give you hints, and if you need an answer then I've included it at the bottom with a solution.

HINTS

=+++++=

Try drawing a line that is parallel to the 12 in side. Be careful; we don't know if it is perpendicular to the side with length 8 in!

Next, prove that the parallel line you just drew is an extension of the 9 in line.

+++

SOLUTION

Each letter A-J is each of the numbers 1-9 respectively.

The answer is J+I*(J+C)

-7,-8

Wow, thanks, sorry, but I forgot to include that I want hints, not the full solution! Thanks anyways, and I'll be sure not to copy word by word (that would be plagiarism) but I will base my respose off yours!