All Answers 358512 Answers

t2 - t1 = 0.75

(d / 50) - (d / 40) = 0.75

To solve this equation, let's find a common denominator for the fractions:

(40 * d) / (40 * 50) - (50 * d) / (50 * 40) = 0.75

(40d - 50d) / 2000 = 0.75

(-10d) / 2000 = 0.75

Multiplying both sides by 2000:

-10d = 0.75 * 2000

-10d = 1500

Dividing both sides by -10:

d = 1500 / -10

d = -150

[10 + 8 - 1] C 10 ==17 C 10 ==19,448 ways of distributing the stickers.

65  -  25 == 40 years.

P=35;   R=0.06/12;  N=40*12;    FV=P*((1 + R)^N - 1)/ R

FV==$69,702.18 - FV of the IRA after 40 years.

You can multiply through by the lowest common denominator ,but then you have divide the answer by the same number. 

You did not do that.

Yes

\(\frac{1}{6}(x^2-9x-2x+18) = \frac{x^2-11x+18}{6}\)

Your answer is pure BULLSHIT !

>>> Round your answers to the nearest hundredth <<<  

   I'd love to, except you didn't say what the question is.  

_.

The probability that the ant can reach the crumb is 0. The ant can only reach the crumb if it is placed on one of the four faces that share the vertex where the crumb is located. The probability of this happening is 1/4. However, the ant can only reach the crumb if it is within 1 foot of the vertex. The area of a face of a regular tetrahedron with an edge length of 1 foot is sqrt(2)/2. The area of a circle with a radius of 1 foot is pi. The probability that the ant is within 1 foot of the vertex is pi / (sqrt(2)/2) = 2pi. Therefore, the probability that the ant can reach the crumb is 1/4 * 2pi = pi/2.

Here's a hint to get you started. Add all of the equations together. You should get 15( a+b+c+d+e) = 41+15+34+68+57. Divide both sides by 15. Hope it helps!

Disregarding the fact that no child can sit directly in front of their sibling, there are 6! = 6x5x4x3x2x1 ways, which is 720 ways in total. Then count how many ways siblings can sit in front of each other. Each person can sit in 3 spots with a sibling in front of them. The rest should be easy. You'll need to check because I might be wrong haha. 

2a = (-4,6)

D==Distance to the beach.

T ==Time it takes you to drive to the beach at 40 mph

D / 40 ==T.....................(1)

D / 50 ==T - 45/60........(2), solve for D, T

D==150 miles

Note: If you drive at 50 mph, you would arrive 45 minutes EARLIER and not "later" !!

D==Distance from Jackson to Penthaven

S ==Speed of the plane in still air.

2D == 3 + 36/60 * S ==3.6S...................(1)

[D /(S + 20)] + [D/(S - 20)]==4.75.........(2), solve for D, S

D==73.1645 miles - one-way distance from Jackson to Penthaven.

m ==376, 625

1 - 376^4 ==19,987,173,376

19,987,173,376 mod 1000 ==376

2 - 625^4==152,587,890,625

152,587,890,625 mod 1000 ==625

Note that the last three digits of a number are just its value modulo 1000. So, we are looking for a three digit number m such that m4≡m(mod1000).

If m≡0(mod4), then m4≡0(mod1000), so m is a possible value.

If m≡1(mod4), then m4≡1(mod1000). This is not possible, since m is a three digit number.

If m≡2(mod4), then m4≡16≡6(mod1000). This is possible, since 6 is a three digit number.

If m≡3(mod4), then m4≡81≡1(mod1000). This is not possible, since m is a three digit number.

Therefore, the only possible values of m are those that are congruent to 0 modulo 4. These are m=0,4,8,…,96. The smallest value of m greater than 100 is m=80. The largest value of m less than 1000 is m=96. Therefore, the possible values of m are 80,84,88,…,96​.

Greetings Guest!

Let the cost of a candy bar be x and the cost of a piece of bubble gum be y.

The total cost:

\(x+y=1.5\)

The candy bar costs a dollar more than the bubble gum. 
In other words,

\(x=y+1 \)

Now, we can replace the value of x with the above equation so that the first equation contains only one variable:

\(y+1+y=1.5\)

Simplify and solve:

\(2y+1=1.5 \)

\(2y=1.5-1 \)

\(2y=0.5\)

\(\frac{2y}{2}=\frac{0.5}{2}\)

\(y=0.25 \)

The piece of bubble gum costs 25 cents.

Hope this helped!

How long would it take the 20 members to paint a 6000 square foot wall?

Hello Guest!

\(\frac{2000m^2}{40min}=\frac{6000m^2}{x}\\ x=\frac{6000 m^2\cdot 40min}{2000m^2}\\ \color{blue}x=120min\)

120 min would it take the 20 members to paint a 6000 square foot wall?

  !

 What was the total weight of the berries after two days, in kg?

Hello Guest!

\(m_b:1\%=200kg:100\%\\ \underline{m_b=2kg}\\ x:m_b=100\%:10\%\\ x:2kg=100\%:10\%\\ \color{blue}x=20kg \)

20kg was the total weight of the berries after two days.

  !

the line of best fit gives you a line that goes through the middle of the data.

It represents the average of the data in linear form.

If you find the average of the data, it is kind of like the middle of the data too.

I must have miscounted the possible little triangles in the big shaded areas.  

My original suggestion was to print out the figure, and actually draw the lines.  

That will give you an accurate count, and then apply the method that I used.  

_.

A bag contains yellow, green, blue, and white marbles.  The ratio of yellow, green, blue, and white marbles is 1:2:3:4.  If the bag contains 180 marbles, then how many blue marbles are there?

Consider:  "The ratio of yellow, green, blue, and white marbles is 1:2:3:4."  

Call the number of yellow marbles X.  

So the number of green marbles is 2X. 

And the number of blue marbles is 3X.  

And the number of white marbles is 4X.  

Add up all the marbles and you have     10X  =  180  

Therefore                                                   X  =  18 yellow marbles  

                                                                 2X  =  36 green marbles  

                                                                 3X  =  54 blue marbles  

                                                                 4X  =  72 white marbles  

_.

Sorry, that's wrong.

lmao. i think i forgot to mention that you can basically move right down left, horizontally and stuff, but not jumping around. 

Find the area of triangle ABC.

Hello Guest!

\(\overline{AC}=\overline{AB}\)

\(\Delta\ ACX\ \equiv \Delta\ ABX\)

\(A_{ABC}=\frac{(\overline{AX}+\overline{CX})\cdot \overline{AX}}{2}=\frac{(10+10)\cdot 13}{2}\\ \color{blue}A_{ABC}=130\)

  !

Check your numbers carefully! The coupon of 52% is probably 5.2% and 92% is probably 9.2% and the yield of 74% is probably 7.4%. Were you asleep when you posted your question??