Larry and Steve have 171 marbles in all.  The number of marbles Larry has is 39 fewer than 3/7 of the number of marbles Steve has.  How many marbles does Steve have?

Answers

Answer 1
Answer: Steve = x marbles,    Larry = 3x/7 – 39 marbles
Total marbles = 171 = steves + lary’s
X + 3x/7 – 39 = 171
X + 3x/7 = 171 + 39
10x/7 = 210
10x = 210 * 7
10x = 1470 X = 147
 Larry = 3/7(147) – 39  
Larry = 63 – 39 = 24

Steve = 147
 Total marbles = 147 + 24 = 171
Answer 2
Answer:

Answer:

One fryte ssr

Step-by-step explanation:


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In her first basketball game, Taneshia makes 8 out of 14 free throws. in her second basketball game taneshia makes 6 out of 10 free throws. In which game did she have a better free throw percentage?

Answers

Answer:

she did better in the second game

Step-by-step explanation:

first game:  8/14 = .571428571  =57%  made

second game  6/10 = .6 = 60 % made

she did better in the second game

Solve : cos X + sin X = 0
Pls all answers in radians
thanks

Answers

cos (X) + sin (X) = 0

Subtract cos(x) from each side:

sin(x) = -cos(x)

Divide each side by cos(x) :

sin(x) / cos(x) = -1

But sin/cos = tangent

tan(x) = -1

x = 135° and 315°

x = 3/4 pi radians  and  7/4 pi radians

The average (A) of two number,M and N, is given by the formula A=m+n/2. Find the average of the two numbers 36 and 72.

Answers

54 is the  average of the two numbers 36 and 72.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We need to find the average of the two numbers 36 and 72.

The average (A) of two number, M and N, is given by the formula A=m+n/2

Let m = 36

n=72

Now to find the average of two numbers we have to plug in these values in the formula

A=36+72/2

=108/2

=54

Hence, 54 is the  average of the two numbers 36 and 72.

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Answer: 54

Step-by-step explanation:

Average = Total/ total number

Average= 36 +72/2

             = 108/2

             = 54

Mr. Swanson has $350 to order music books for the new school year. Music books cost $10 each and come in packages of 5. Mr. Swanson orders 6 packages.

Answers

Answer:

Total cost he paid was = 300

Step-by-step explanation:

A study is done on the population of a certain fish species in a lake. Suppose that the population size P(t) after t years is given by the following exponential function. P(t)=280(1.29)^t Find the initial population size?
does the function represent growth or decay?
By what percentage does the population change each year?

Answers

Answer:

  1. 280
  2. function represent growth.
  3. 29 %

Step-by-step explanation:

Equation to calculate population size after time, t

P(t) = 280(1.29)^t

To find initial population size we will take t = 0

P(0) = 280(1.29)^0

       = 280(1)

       = 280

To find that function represent growth or decay

P(1) = 280(1.29)^1

      = 280(1.29)

      = 361.2

Its means that after a year population increases. Hence, function represent growth.

By what percentage does the population change each year?

(361.2 - 280 / 280) * 100%

 = 29 %

Answer:

280

function represent growth.

29 %

Determine if the system has one solution, infinitely many solutions, or no solution. x=-7y+34 x+7y=32

Answers

Answer:

NO Solution

Step-by-step explanation:

First, from the first equation let's move the Y term to the other side to match with the second equation.

x=-7y+34\n\nx(+7y)=-7y+34 (+7y)\n\nx+7y=34

Now lets compare the two equations.

x+7y=34\nx+7y=32

Since the left sides are the same but the right sides of the equations aren't, we can see there are no solutions to this system.

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