there are 32 peanuts in a bag. Elliott takes 25 percent of the peanuts from the bag. then zaire takes 50 percent of the remaining peanuts. how many peanuts are left in the bag?

Answers

Answer 1

Answer: 1) we calculate the number of peanuts in the bag after Elliott take 25% of the peanuts form th bag.

number of peanuts in the bag after elliot take 25%=32-(25/100)32=32-8=24.

2) we calculate the number of peanuts in the bag after Zaire takes 50% of the remaining peanuts.

number of peanuts in the bag after Zaire takes 50%=24-(50/100)24=24-12=
=12

Answer: 12 peanust are left in the bag.

Answer 2

Answer: Simple...

there are 32 peanuts...

they took 50% and 25%

50+25%=75%

32*75%=24

32-24=8

Thus, there are 8 peanuts remaining.

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Determine if the side lengths 6, 11, and 19 form a triangle. If it is a triangle, classify it by its sides. It's not a triangle. scalene triangle isosceles triangle equilateral triangle

Answers

its a scalene triangle if it is a triangle

Answer:

To find that a triangle can be made from these measurements you should know that the sum of two of its sides should be greater than the third side.

lets see if this rule applies...

6+11 = 17 ( not greater that 19 ; its third side)

therefore, a triangle cannot be formed

Hannah scored 14/18 on her math test and trey scored 16/20 his math test.Who did the best?

Answers

compare
first simplify each
14/18=2/2 times 7/9=1 times 7/9=7/9

16/20=2/2 times 2/2 times 4/5=1 times 4/5=4/5

7/9 and 4/5
make bottom number same
7/9 times 5/5=35/45
4/5 times 9/9=36/45
36/45>35/45

trey scored better

Trey had the best score. 16/20 is equal to 80% and 14/18 is equal to 70.7%. So acknowledging that information Trey had the better score on his math test.

Solve the following quadratics. State the FACTORS AND SOLUTIONS. 1. 2x^2 - 7x + 3 2. 3x^2 + 7x +2

Answers

Answer:

1. x = 3, 1/2 (solutions); (x - 3)(2x - 1) (factors)

2. x = -1/3, -2 (solutions); (3x + 1)(x + 2) (factors)

Step-by-step explanation:

1. 2x^2 - 7x + 3

To solve problem 1, you will need to identify your a, b, and c values in this quadratic function.

Since this problem is in standard form, it will be easy to identify these values. The standard form of a quadratic function is ax^2 + bx + c.

The a value is 2, the b value is -7, and the c value is 3 if we use our standard form and see which numbers are plugged into it.

Since we know that

a = 2
b = -7
c = 3

we can use the quadratic formula: $x = (-b~\pm~√(b^2~-~4ac) )/(2a)$

Substitute the a, b, and c values into the quadratic formula: $x=(-(-7)\pm√((-7)^2-4(2)(3)) )/(2(2))$

Now simplify using the laws of pemdas: $x=(7\pm√((49)-(24)) )/(4)$

Simplify even further: $x=(7\pm√((25)) )/(4) \rightarrow x=(7\pm (5) )/(4)$

Now split this equation into two equations to solve for x: $x=(12 )/(4) ~~and~~ x=(2 )/(4)$

12/4 can be simplified to 3, and 2/4 can be simplified to 1/2.

This means your solutions to problem 1 is 3, 1/2.

$\boxed {x=3,(1)/(2) }$

There is also another way to solve for the quadratic functions, and this was by factoring.

If you factor 2x^2 - 7x + 3 using the bottoms-up method, you will get (x - 3)(2x - 1).

After factoring, solving for the solutions is simple because all you have to do is set each factor to 0.

x - 3 = 0
2x - 1 = 0

After solving for x by adding 3 to both sides, or by adding 1 to both sides then dividing by 2, you will end up with the same solutions: x = 3 and x = 1/2.

2. 3x^2 + 7x + 2

To save time I'll be using the bottoms-up factoring method, but remember to refer back to problem 1 (quadratic formula) if you prefer that method.

Factor this quadratic function using the bottoms-up method. After factoring you will have (3x + 1)(x + 2). These are your factors.

Now to solve for x and find the solutions of the quadratic function, you will set both factors equal to 0.

3x + 1 = 0
x + 2 = 0

Solve.

First factor: 3x + 1 = 0

Subtract 1 from both sides.

3x = -1

Divide both sides by 3.

x = -1/3

Second factor: x + 2 = 0

Subtract 2 from both sides.

x = -2

Your solutions are x = -1/3 and x = -2.

$\boxed {x = -(1)/(3) , -2}$

A company manufactures printers.The equation −0.0002x2+0.0563x−0.169=4 can be solved to find the price per printer that the company will need to charge to make an annual profit of approximately 4 million dollars ($4,000,000).

The graphs of y=−0.0002x2+0.0563x−0.169 and y=4 are shown.

What does the graph tell you about the price the company should charge?