MATHEMATICS MIDDLE SCHOOL

Urgent!!!??In an experiment the colours of 50 cars passing was recorded. 17 silver cars were recorded. What is the relative frequency of a silver car passing?

40 is rounded to the nearest whole. write down the maximum possible length it could have been?

Solve 4x≤10

Thanks for your help!

Answers

Answer 1
Answer: Okay, I stink at math. But I do know the last one, which is something. 

You have to divide the 4 by 4 and then get the x alone, but what is done to one side you have to do to the next so, 10/4 = 2.5 

So x ≤ 2.5 

I hopes this helps somewhat. 

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1/2x+1/4y=6. 1/5x+1/3y=1

Answers

(1)/(2)x+(1)/(4)y=6 \ \ \ |* 2 \n(1)/(5)x+(1)/(3)y=1 \ \ \ |* (-5) \n \nx+(1)/(2)y=12 \n\underline{-x-(5)/(3)y=-5} \n(1)/(2)y-(5)/(3)y=12-5 \n(3)/(6)y-(10)/(6)y=7 \n-(7)/(6)y=7 \ny=7 * (-(6)/(7)) \ny=-6 \n \nx+(1)/(2)y=12 \nx+(1)/(2) * (-6)=12 \nx-3=12 \nx=12+3 \nx=15 \n \n\boxed{(x,y)=(15,-6)}
1st Step:

\frac { 1 }{ 2 } x+\frac { 1 }{ 4 } y=6\n \n 4\left( \frac { 1 }{ 2 } x+\frac { 1 }{ 4 } y \right) =6\cdot 4\n \n 2x+y=24\n \n y=24-2x

2nd Step:

\frac { 1 }{ 5 } x+\frac { 1 }{ 3 } y=1\n \n 15\left( \frac { 1 }{ 5 } x+\frac { 1 }{ 3 } y \right) =1\cdot 15

\n \n 3x+5y=15\n \n 5y=15-3x\n \n 5y=3\left( 5-x \right) \n \n y=\frac { 3\left( 5-x \right) }{ 5 }

3rd Step:

\frac { 3\left( 5-x \right) }{ 5 } =24-2x

\n \n 5\cdot \frac { 3\left( 5-x \right) }{ 5 } =5\left( 24-2x \right) \n \n 3\left( 5-x \right) =120-10x

\n \n 15-3x=120-10x\n \n -3x+10x=120-15\n \n 7x=105\n \n x=\frac { 105 }{ 7 }

\n \n \therefore \quad x=15

4th Step (When x=15):

y=24-2\left( 15 \right) \n \n y=24-30\n \n \therefore \quad y=-6

1. The velocity "v" in feet per second of a freely falling object that has fallen h feet can be represented by v = 8h^1/2. Find the distance that an object has fallen if its velocity is 96 feet per second.2. The relationship of the current, the power, and the resistance in an appliance can be modeled by IR^1/2 = √P, where I is the current in amperes, P is the power in watts, and R is the resistance in ohms. Find the power that an appliance is using if the current is 2.5 amps and the resistance is 16 ohms.

In your answer, please explain and show your work to the best of your ability. I want to know how you got your answer. It will help me a lot! :)

Note: These questions are from 7-3 Practice: Rational Exponents from Glencoe Algebra 1.

Good luck! :)

Answers

We isolate the variables that we wish the values determined in the given problems above.

(1) To solve for h, we manipulate the variable such that it becomes,
                                h = √(v / 8)
Substituting the given,
                                h = √ (96 / 8) = √12 ft

(2) To solve for P in this problem, we raise both sides of the equation to exponent 2,
                                P = I²R
Substituting,
                                P = (2.5 amps)² x (16 ohms)
                                P = 100 watts

Final answer:

To find the distance fallen, substitute the given velocity into the equation and solve for h. To find the power being used, substitute the given current and resistance into the equation and solve for P.

Explanation:

1. To find the distance that an object has fallen if its velocity is 96 feet per second, we need to use the given equation v = 8h^(1/2). We'll substitute 96 for v in the equation and solve for h:

96 = 8h^(1/2)

To isolate h, we'll divide both sides of the equation by 8:

12 = h^(1/2)

To get rid of the exponent, we'll square both sides of the equation:

144 = h

Therefore, the object has fallen a distance of 144 feet.

2. The equation IR^(1/2) = √P represents the relationship between current (I), power (P), and resistance (R). We're given that I = 2.5 amps and R = 16 ohms. We'll substitute these values into the equation and solve for P:

(2.5)(16)^(1/2) = √P

(2.5)(4) = √P

10 = √P

To isolate P, we'll square both sides of the equation:

100 = P

Therefore, the appliance is using 100 watts of power.

Learn more about Rational Exponents here:

brainly.com/question/29159487

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What is the perimeter, P, of a rectangle that has a length of x + 5 and a width of y − 1? P = 2x + 2y + 8
P = 2x + 2y − 8
P = x + y + 4
P = x + y + 6

Answers

The perimeter of the rectangle whose dimensions are (x + 5) and (y - 1) is,

 P = 2x + 2y + 8

The correct option from the given choices is A.

What is a rectangular perimeter?

The whole distance that a rectangle borders, or its sides, the cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given:
A shape is a rectangle.

And P is the perimeter of that rectangle.

And the dimensions of the rectangle are (x + 5) and (y - 1).

So, the perimeter of the rectangle,

= 2 [(x + 5) + (y - 1)]

= 2 [ x + y + 4]

= 2x + 2y + 8

Therefore, the perimeter of the shape is P = 2x + 2y + 8.

To learn more about the rectangular perimeter;

brainly.com/question/22109593

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Answer:P=2x + 2y + 8

Step-by-step explanation: Perimeter (p) =2L+ 2w

P= 2(x+5)+2(y-1)

Remove bracket

P=2x+ 10 +2y - 2

P=2x+2y+8

A swimming pool is 12 metres long. how many metres would you swim if you swam 8 lengths. ​

Answers

Answer:

96m

Step-by-step explanation:

12m * 8 = 96m

unless lengths are counted as to one side and back then it would be double 96
You would do 12 times by the amount of lengths which is 8 and the answer would be 12 times 8= 96

Santa gains 3 pounds per week.How many pounds will he gain in 20 weeks

Answers

Answer:

Santa will gain 60 pounds in 20 weeks.

Step-by-step explanation:

3 x 20= 60

Answer:

60 pounds

You would multiply 20 times 3 to get the answer.

What does the abbreviation "m" stand for in math?

Answers

A variable to represent a number that is unknown
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