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3 years ago

Can someone help please? And explain it.

Mathematics

1 answer:

sineoko [7]3 years ago

3 0

Answer:

2 : 6 = 14 : 42

32 : 64 = 12 : 24

Step-by-step explanation:

This is ratios.

2 : 6 = 14 : 42 is because 2 can go into 14, 7 times, so that makes it a multiple of 2. Than you just multiply the 6 by 7 that will get you to 42.

32 : 64 = 12 : 24 is because 12 is doubled on the other side to get 24, so you just double 32 and get 64.

Hope this helps!!!

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Need help with my homework

Volgvan

Answer:

$\displaystyle y=\frac{16-9x^3}{2x^3 - 3}$

$\displaystyle y=-\frac{56}{13}$

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

$\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}$

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

$\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3$

Simplify the radical with the cube:

$\displaystyle x^3=\frac{3y+16}{2y+9}$

Multiply by 2y+9

$\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)$

Simplify:

$\displaystyle x^3(2y+9)=3y+16$

Operate the parentheses:

$\displaystyle x^3(2y)+x^3(9)=3y+16$

$\displaystyle 2x^3y+9x^3=3y+16$

Subtract 3y and $9x^3$ :

$\displaystyle 2x^3y - 3y=16-9x^3$

Factor y out of the left side:

$\displaystyle y(2x^3 - 3)=16-9x^3$

Divide by $2x^3 - 3$ :

$\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}$

ii) To find y when x=2, substitute:

$\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}$

$\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}$

$\displaystyle y=\frac{16-72}{16- 3}$

$\displaystyle y=\frac{-56}{13}$

$\mathbf{\displaystyle y=-\frac{56}{13}}$

8 0

3 years ago

In AWXY, mW<br> Find mZX<br> (2x – 12), m_X = (2x + 17), and m_Y = (9x-7)<br> Find m

sladkih [1.3K]

Answer:

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

2x - 12 + 2x + 17 + 9x - 7 = 180 add like terms

13x - 2 = 180 add 2 to both sides

13x = 182 divide both side by 13

x = 14

m<X = 2x + 17 replace x with 14

2*14 + 17 = 45

5 0

2 years ago

Which number is greatest?

user100 [1]

Answer:

$6.23 \times 10 {}^{12}$

Step-by-step explanation:

$6 .23\times 10 {}^{12}$

$6.23 \times 1000000000000 \\ 6230000000000$

7 0

3 years ago

Read 2 more answers

Irrational numbers are _____ integers.<br><br> always<br> sometimes<br> never

Paul [167]

Answer:

Never

Step-by-step explanation:

6 0

3 years ago

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Factor 3xy+21x+9 completely

inn [45]

Answer:

<h2>Hence the second option is the correct answer</h2>

Step-by-step explanation:

In this problem we are required to factor out the given terms as stated in the expression, what is obtainable is that we look for terms(greatest terms) that are common to all the terms in the expression and factor it out.

here is a way to do it

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$3xy+21x+9$

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hence the second option is the correct answer

3 0

3 years ago