All Answers 355983 Answers

q = #  quarters                   

p = # of pennies = 3.5 q     

n = # nickels =  1/5 q                 summed they equal 282

q +   3.5 q  + 1/5 q = 282

4.7 q = 282

q = 60     then      p = 210       n = 12

I don't understand your answer

Given,

Total Number of coins= 282

Let the number of pennies be x.

Let the number of quarters be y.

Let the number of nickels be z.

Therefore,

x+y+z= 282

According to given,

Number of quarters= 3.5 times as many as pennies

y= 3.5x

Also given,

Number of quarters=(1/5) times as many as nickles

y= z*(1/5)

z= 5y=(3.5x)*5= 17.5x

Therefore,

x+(3.5x)+(17.5x)= 282

22x= 282

x= 12.81818181818 

y= 3.5*12.81818181818

y= 44.86363636363

z= 17.5*12.81818181818

z=224.31818181815
 

Therefore,

the number of pennies=12.81818181818= 13

the number of quarters=44.86363636363= 45

the number of nickels=224.31818181815= 224

Ok good

d = p - 10                               dime value =   10 ( p-10)

n = 6d = 6 ( p-10) = 6p -60     nickel value = 5 ( 6p-60)

p

p +    10( p-10)     +   5( 6p-60)       =   748

p = 28     then d = 18      n = 108  

Brandon has 28 pennies, 18 dimes, and 108 nickels. 

Let's start by writing equations:

pennies = 10 + dimes,

nickels = 6 x dimes.

You know Brandon used a number of pennies ending in either 3 or 8, since he has a total of $7.48.

I didn't know how to proceed from here, so I had to guess and check lol. 

If M is the midpoint of side AB, and AB and CD are parallel (because the shape is a square), then doesn't that mean that AM and DC are parallel and don't intersect? I might be misunderstanding the problem though...

3x^2 + 5x + 7 = 0     ( I assume the '+' sign....it is the same key on my keyboard)

By Vieta's Formulas  

   u+ v = -5/3     and   uv = 7/3

(u+v)^2 =

                u^2 + v^2        + 2 uv    = (-5/3)^2

                u^2 + v^2                      =    25/9   - 2uv

                u²  +  v²                       =  25/9  - 2(7/3) =  -17/9 =  - 1.8888888.....

Cone srface area

pi rs  + pi r^2       r = 3    s = 5      ( the hypotenuse)

 pi (3*5) + pi * 3^2 = 24 pi  units²

It says two legs   of length  3 and 4     the hypotenuse would be 5

According to the Pythagorean Theorem, its not possible for a right triangle to have sides whose lenghts are 4, 4, and 3....

I need to find the steps to this question I'm not sure what the steps are but I know the answer

y=1/5x+3 

answer:

x-5y+15=0

Cos is adjacent/hypotnuse meaning that 3 is the 'adjacent' and 5 would be the hypotenuse. Using the Pythagorean Theorem (of the knowledge of Pythagorean Triples), you find that the other side of the right triangle is 4. Tan is opposite/adjacent. 'Opposite' would be 4, and 'adjacent' would remain 3. That means that tan B is 4/3. 

The area of a trapezoid is (b1+b2)/2 * h, where b1 and b2 are the two bases and h is the height. In other words, the area is the average of the bases of the trapezoid multiplied by the height of the trapezoid. From the information given, we can solve for the other base by plugging the other values into the equation of the area of a trapezoid. (10+x)/2 * 4 = 48. Divide both sides by 4: (10+x)/2=12, multiply both sides by 2: (10+x)=24, subtract both sides by 10: x=14. This means that the measure of the other base of the trapezoid is 14.

I'm assuming that by "3x^2+5x=7=0" you mean 3x^2+5x-7=0. Because this quadratic isn't easily factorable (or solvable via the difference of squares), we can use the quadratic formula. Through the quadratic formula, we find that the solutions to the equation are (-5+sqrt{109})/6 and (-5-sqrt{109})/6. Squaring both expressions gives (67-5sqrt{109})/18 and (67+5sqrt{109})/18. The square roots cancel out, which gives 134/18, simplifying to 67/9.

A cube has edges of length 1 cm and has a dot marked in the center of the top face. The cube is sitting on a flat table. The cube is rolled, without lifting or slipping, in one direction so that at least two of its vertices are always touching the table. The cube is rolled until the dot is again on the top face. The length, in centimeters, of the path followed by the dot is c(pi), where c is a constant. What is c?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

c = φ     (Golden ratio  φ ≈ 1.618033989)

c = (1 + √5) / 2

thanks

The remainder is 3.

The sum of all possible values of a + b + c is 36.

The age of the escaped box turtle is 27.

  I think you still have to use the compounding interest calculation   (1 + r/n)^nt      which will result in interest of 2.4695 %  for the six months that it is in the annual compound  account 

      resulting in    10,000 x 1.02   x 1.1024695    for the final $ amount

Here's a suggestion, you could try splitting the rhombus into 2 triangles and try solving from there!

Because Math is God's Language he wants us to understand

At the end of the first year you would have   1.05   half a year is half of that @ 1.025 ....you get no benefit from compounding unless you have it for more than a year.....because it is ANNUAL compounding.

Add digits:  1, 3, 5, 7, 9

Even digits:  2, 4, 6, 8

There is only 1 way to choose the first number.

Then, there are 4 ways to choose the even number.

Followed by 4 ways to choose the next odd number.

                     3 ways to choose the next even number

                     3 ways to choose the next odd number

                     2 ways to choose the nexteven number

                     2 ways to choose the next odd number

                     1 way to choose the last even number

                     1 way to choose the last odd number.

Multiplying these together:  1 x 4 x 4 x 3 x 3 x 2 x 2 x 1 x 1  =     ...  the answer.