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3 years ago

If 2x/2y=16,what is the value of x-y?

Mathematics

1 answer:

kotegsom [21]3 years ago

8 0

Answer:

15y

Step-by-step explanation:

first the 2 can cancel:

$\frac{2x}{2y} =16$

turns into:

$\frac{x}{y} =16$

now since we need to find x-y,

x=16y

16y-y=15y

I might come back to this because I'm not 100% sure this is the answer you are looking for. Let me know if you have any questions.

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If the measure of arc XY plus the measure of a arc YZX equals 360 and the arcs dont overlapp then what do the arcs form?

gavmur [86]

Check the picture below.

6 0

3 years ago

What is the square root of 864

skelet666 [1.2K]

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

$\sqrt{864} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}$

Take any number that is repeated twice in the square root, and move it outside of the root:

$\sqrt{864} = \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3}$

$\sqrt{2 \cdot 2} = \sqrt{4} = 2$

$\sqrt{3 \cdot 3} = \sqrt{9} = 3$

$\sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3} = \sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3}$

$\sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3} = (2 \cdot 2 \cdot 3) \sqrt{2 \cdot 3} = \boxed{12 \sqrt{6}}$

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

6 0

3 years ago

Tickets for a dance recital cost $15 for adults and $7 for children. The dance company sold 253 tickets, and the total receipts

elixir [45]

Answer:

Adult tickets =125

Child tickets = 128

Step-by-step explanation:

Let the number of adult and children tickets sold be x and y respectively

So that

x+y= 253--------1

Since total sales/receipt is $2,771

And given that tickets for a dance recital cost $15 for adults and $7 for children hence

15x+7y= 2771-------2

Solving equation 1 and 2 simultaneously we have

x+y= 253---------------1

15x+7y= 2771----------2

Let us multiply equation 1 by 15 to get equation 3 to eliminate x and subtract equation 2 from 3

15x+15y=3795---------3

-{15x+7y= 2771----------2

0+8y=1024

8y= 1024

y= 1024/8

y= 128 tickets

So solve for x let us put y= 128 in equation 1

x+ 128=253

x=253-128

x= 125 tickets

8 0

3 years ago

Multiply this expression and check:(4y^3+4y^2+8)(6y-4)

emmasim [6.3K]

(4y³ + 4y²+8)(6y - 4)

Simplify.

24y⁴ - 16y³ + 24y³ - 16y² + 48y - 32

Add like terms.

24y⁴ + (-16y³ + 24y³) -16y² + 48 - 32

Simplify.

24y⁴ + 8y³ - 16y³ + 16

~Hope I helped!~

7 0

4 years ago

The distance between two cities is 145 miles. A truck can cover this distance in 2. 5 hours. A car is 1. 5 times as fast as the

Sophie [7]

The relative speed of the car to the truck while moving towards each other is the sum of the speed of both vehicles.