A student claims that 3x + 2y = 5xy. Use a visual representation to show whether this is true or false

Answers

Answer 1
Answer:

Answer:

It is true, except when x = 2/5, since it is an asymptote.

Step-by-step explanation:

3x=5xy-2y

3x=y(5x-2)

3x/5x-2=y

5x-2=0 -------> 5x=2 --------> x=2/5


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Explain it How can you use a right angle to determine the classification of another angle?

Answers

Right angles are 90 degree angles

You are given a circle of radius 6 what is the segment area of an arc that is 60 degrees

Answers

Answer:

= 18.857 cm²

Step-by-step explanation:

The area of a segment is given by;

θ/360 × 2πr². where θ is the angle subtended by the arc to the center of the circle and r is the radius of the circle.

θ = 60, and r = 6

Therefore;

Area = 60/360 × 22/7 × 6²

        = 18.857 cm²

Answer:

6π - 9 √3 square units

Step-by-step explanation:

The person above me is right, but this is all they are asking for in the problem. I hope it helps!

Four fifth of a number is more than three fourth of the number by 4. Find the number

Answers

Let the unknown number be x then given,

(4/5)x - (3/4)x = 4

(16x - 15x)/20 = 4

x/20 = 4

x=80

Let the number be n.

Four fifths of the number is 4n/5.

Three fourths of the number is 3n/4.

Four fifths of a number is more than three fourths of the number by 4.

4n/5 = 3n/4 + 4

20 * 4n/5 = 20 * 3n/4 + 20 * 4

16n = 15n + 80

n = 80

Let's check.

4/5 of 80 = 4/5 * 80 = 64

3/4 of 80 = 3/4 * 80 = 60

64 is indeed 4 more than 60 showing that 4/5 of 80 is 4 more than 3/4 of 80, so 80 is correct.

Answer: 80

Anita grew a garden with 3/4 of the area for vegetables. In the vegetable section, 1/6 of the area is carrots. What fraction of the total garden is carrots?

Answers

3/4 of the area for vegetables, and 1/6 of its area is carrots.
So,
3/4 x 1/6 = 3/24
Simplify 3/24 by 3 will be
1/8
1/8 of the area of the garden is covered by carrots
3/4 of the garden is veggies
1/6 of the veggies are carrots

3/4 x 1/6 = 3/24 = 1/8

1/8 of the whole garden is carrots

In her first design for water rush Ms Luca used 4 same-size rectangular bins to hold sand. Each bin had a volume of 180 cubic yards. Then ms Luca changed her design to use 2 new same-size rectangular bins. The total volume of the 2 new bins. The volume of the 2 new bins is equivalent to the total volume of the 4 original bins. What is the length of each of the new bins. Show your work.

Answers

Hello


Ms Luca has 4 bins which each has 180 cubic yards so 4×180= 720

Now she has a new design which has 2 bins which carry THE SAME amount so...

720÷2= 360

answer is 360

Answer:

The question is asking for the length. The height is given as 6 and the width is given as 5. The length is unknown

To find the length use formula lxwxh=volume

We know the volume of each bin to be 360 so we plug into the formula

lx5x6=360 (multiply)

lx30=360 (divide both sides by 30 to isolate the unknown, which is the length).

360/30= 12

l=12

The length is equal to 12

The answer is 12.

Step-by-step explanation:

Consider the expressions $\frac{4x^3+2x^2+6x+7}{2x+1}$ and $2x^2+3+\frac4{2x+1}.$a) Show that these expressions are equal when $x=10.$

b) Explain why these expressions are not equal when $x=-\dfrac12.$

c) Show that these expressions are equal for all $x$ other than $-\dfrac12.$

In parts (a) and (c), begin by explaining what your strategy for solving will be.

Answers

Part (a)  We shall simplify both of them in order to find the solution to the equation.

  • Once we've done that, we'll see that they have the same equation, so we can match the equation if x=10.

Part (b)  When x=-1/2, the answers to the second expression, 2x2, change to -1, and we eventually arrive in 1.

  • This is why the expressions are not equal at this point.

Part (c)  As we can see, the expressions are identical, thus we can demonstrate that they are equal if x is any number other than -1/2.

What is an expression in maths?

  • An expression is a set of terms combined using the operations +, – , x or , for example 4 x − 3 or x 2 – x y + 17 .
  • An equation states that two expressions are equal in value, for example 4 b − 2 = 6 .
  • An identity is a statement that is true no matter what values are chosen, for example 4 a × a 2 = 4 a 3 .

What is a math expression example?

  • An expression is a set of numbers or variables combined using the operations +, –, × or ÷.
  • Arithmetic expression that contains only numbers and mathematical operators and algebraic expression that contains variables, numbers and mathematical operators.

How do you find expressions?

  • To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
  • To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Learn more about expressions here:

brainly.com/question/723406

#SPJ2

Answer:

Part a)  In order to solve the equation, we will simplify both of them.  Once we do that, if we notice, they are the same equation, so therefore, if x=10, then we will be able to match the equation.

Part b) The reason the expressions are not equal when x=-1/2 is because if we see, that in the second expression, 2x^2, if x=-1/2, then the answer becomes -1, and we eventually end up with 1.

Part c)  As we can see, the expressions are the same, so if x is any number other than -1/2, then we will be able to show that the expressions are equal.

Step-by-step explanation:

You can simplify the explanation, also if you play ROBLOX, follow me at my username: BAMUNJI, or 24KBlingYT

By the way, this question is from the Art of Problem Solving, and you should not just copy answers or copy of them.