Bulbous

If I am not dumb...

If radius is 13 yards, then diameter is 26 yards ;]

Simplify 2x^2 - 8x + 7 = x^2 - 5x + 3 and Solve for X

x^2 - 3x + 4 = 0

X is equal to (3 + or - isqrt7) / 2

\:\left(\frac{3}{2}+i\frac{\sqrt{7}}{2}\right)^{^{3\cdot \left(\frac{3}{2}-i\frac{\sqrt{7}}{2}\right)}}+\left(\frac{3}{2}+i\frac{\sqrt{7}}{2}\right)\left(\frac{3}{2}-i\frac{\sqrt{7}}{2}\right)^3

Solve for X

X = 7 / 2

Plug X in (4x + 17) / (4x + 1)

The value of (4x + 17) / (4x + 1) is

31 / 15

Hi Guest,

We can use ratios to solve this problem.

3000 / 120,000 is 1 / 40

So the ratio is 1 : 40

Now the problem asks for house assessed at 160,000

We solve:

160,000 / 40 = 4000

The tax for a house assessed at 160,000 is $4000.00

Hi Guest,

There are 10 Caltech student

There are two choices, either Chipotle or Panda Express

If all 10 go to C or PE, then it's 1

Next, 1 go to C, and 9 go to PE, it is 10

Continue doing that until you reach 5, then add 1 - 5 result up and multiply by two.

Or...

You could do 2^10 = 1024

Hi Guest,

Total is 3m

Climb 1/4x, then -  1/10x

3 = 1/4x - 1/10x

10/40 - 4/40 = 6/40 = 3/20x

3/20x = 3

x = 20

It would take 20 days for snail to get out of well.

Hi Guest,

Ratio for price of orange to price of apple is 2 : 3

Can buy 42 oranges

42 : x

So....

42 * 2/3 = 28

He can buy 28 apples

Hi Guest,

A pentagon has a sum of interior angle 540 degrees.

Since it is a pentagon, it has five sides.

So....

We divide 540 (total) by 5

540 / 5 = 108 degrees

Measure of each interior angle of the polygon = 108 degrees

Hi Guest,

Systems of Equation w/ Quadratics 

x - y = 12

y^2 = 5(x-2)

x = y + 12

y^2 = 5(y + 12 - 2)

y^2 = 5(y + 10)

y^2 = 5y + 50

Forms a quadratic: y^2 - 5y -50 = 0

Factor:

(y + 5)(y-10)

y = -5, y=10

So x = 7, x = 22

Hi justinwh333,

Question has already been answered: https://web2.0calc.com/questions/please-help_20319#r2

Hi justinwh333,

Your question is already answered here: https://web2.0calc.com/questions/please-help_20319#r2 

Hi Guest,

Factor out the 4 in 4x^2 + 15x + 2

You should have: 

4(x^2 + 15x/4 + 1/2)

Next, add and subtract (15/8)^2

4(x^2+15x/4 + 1/2 + (15/8)^2 - (15/8)^2)

Finally, complete the square:

4((x + 15/8)^2) + 1/2 - (15/8)^2)

Answer is: 4(x + 15/8)^2 - 193/16

A = 4, U = 15/8, V = -193/16

Hi Guest,

10% fat = 0.1x

x = the solution, what we want to find

120 grams of 20% fat = 0.2 * 120

What we want is mixture of 18% 

So....

0.1x + 0.2 * 120 = 0.18 (x + 120)

Solve:

0.1x + 24 = 0.18 (x +120)

0.1x + 24 = 0.18x + 21.6

24 = 0.08x + 21.6

x = 30

Barista should add 30 grams of cream in order to obtain 18% fat mixture.

Hi Guest,

Sorry for the late response

In this set of number, there are 3 negative numbers:

-5, -8, -2

If any of those number multiply 7, 4, 3, or 1, it will be negative

3 negative * 4 positive = 12 possibilities

Total possibilities  = 21

So the probability that their product is negative is 12/21

Hi Guest,

I will try to solve this.

{CORRECTION}: I did not read that it wanted product

A is between -3, and 1

So the possibilities are -3, -2, -1, 0, 1

B is between -2 and 4

So the possibilities are -2, -1, 0, 1, 2, 3, 4

Not counting zero, A has 3 negative, B has 2 negative

Not counting zero, A has 2 positive, B has 4 positive

A and B must both be negative, or positive

A negative possibiliteis * B negative possibilities = 3/4 * 2/6 = 6/24 = 1/4

A positive possibilities * B positive possibilities = 1/4 * 4/6 = 4/24 = 1/6

1/4 + 1/6 = 3/12 + 2/12 = 5/12

Here is my knowledge of LaTeX:

Usually there are dollar signs around the numbers

Function: $f(x)$

Interval: $[2, 1]$

There are backslashes and brackets for polynomials??

\[z^8 +3z^7 +z^6.\]

Fractions use: /frac {1}{2}, (1/2)

That's all I know 

Hi Guest,

I first listed the facts:

1 adult

2 student

== $18.00

1 adult 

7 student 

== $43.00

Then I created a system of equations to solve:

1a + 2s = 18

1a + 7s = 43

1a = 18-2s

Substution:

18-2s + 7s = 43

5s + 18 = 43

s = 5

If s = 5, then a = 8

1 Adult Ticket = $8.00

1 Student Ticket = $5.00