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3 years ago

Company A

Mathematics

1 answer:

Alisiya [41]3 years ago

5 0

Answer:

C. 12x + 40

Step-by-step explanation:

Got 100% on edge.

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Which one is right ?

sergey [27]

Answer:

6/10

Step-by-step explanation:

all can be reduced to 2/5, except 6/10:

2/5

8/20=2/5 (divide out 4)

12/30=2/5 (divide out 6)

but not

6/10 = 3/5!

7 0

3 years ago

Dominic is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcom

oksian1 [2.3K]

Answer:

If he spins a spinner with 5 equal sections they have equally likely probability of 20%

If he rolls a fair die in the shape of pyramid with 4 sides each side has probability of 25%

If he rolls a fair die in the shape of cube with 6 sides each side has probability of 16.7

Total number of outcomes = 5 * 6 * 4 = 120

7 0

2 years ago

Abigail mixes 2/3 pounds of walnuts with 3/5 pound of dried fruit. To create more of the same mixture, how many pounds of walnut

nignag [31]

1 1/9

To figure out how much walnuts to a pound of dried fruit you’d need to do proportions. So we cross multiply:

2/3 = X
—————- —————-
3/5 = 1

You multiply diagnols 2/3 x 1 = 2/3
3/5 times x is 3/5x.

2/3 = 3/5x. Isolate the variable. Divide 3/5 on both sides cancel out 3/5. 2/3 divide by 3/5 is 2/3 x 5/3 which is 10/9 which equals 1 1/9.

So for 1 lb of dried fruit you need 1 1/9 lb of walnuts to maintain the same mixture

7 0

3 years ago

The distance between the cities Chicago and Toronto is 540 miles. A motorcycle's speed is 48 mph. For a car, it takes 2.25 hours

serious [3.7K]

Answer:

5 hours

Step-by-step explanation:

given :

Distance between the cities = 540 miles

Speed of motorcycle =48 mph

TO CALCULATE THE TIME TAKEN BY MOTORCYCLE TO COVER THE TOTAL DISTANCE WE USE THE FORMULA :

$\frac{DISTANCE}{SPEED}$

By putting given values in the formula we get :

$\frac{540}{48}$

= 11.25 hours

Now, We are given that for a car to cover the same distance it takes 2.25 hours less than the time taken by motorcycle

⇒ 11.25 hours - 2.25 hours

⇒ 9 hours

Thus , Time taken by car to cover the same distance is 9 hours .

Now to calculate speed of car by using formula:

$\frac{distance}{time}$

$\frac{540}{9}$

= 60 mph

Let t be the time taken to meet if they start moving towards each other.

So distance covered by motorcycle in t hours is

speed\times time

= 48t miles

Distance covered by car in t hours is

speed\times time

= 60t miles

⇒ 60t + 48t =540

⇒ 108t = 540

⇒ t= 5 hours

Therefore, time taken to meet if they start moving towards each other is 5 hours.

7 0

3 years ago

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. Pl

kicyunya [14]

Hello,

$u_{0} =a\\
 u_{1} =a*r\\
 u_{2} =a*r^{2}=-6\\
 u_{3} =a*r^{3}\\
 u_{4} =a*r^{4}\\
 u_{5} =a*r^{5}=162\\
....\\
\boxed{ u_{n} =a*r^{n}} \\

\dfrac{ 162}{-6} = \dfrac{ u_{5} }{ u_{3}} = \dfrac{ a*r^{5}}{ a*r^{2}} =r^3= -27\\
==\ \textgreater \ r=-3\\

 u_{2} =a*r^{2}=-6=a*(-3)^2 \ ==\ \textgreater \ a=-\frac{6}{9} =-\frac{2}{3}\\


\boxed{ u_{n} =-\frac{2}{3}*(-3)^{n}=(-1)^{n+1}*2*3^{n-1}} \\

$

8 0

3 years ago

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