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3 years ago

Please solve (8th grade pre-algebra)

Mathematics

2 answers:

tigry1 [53]3 years ago

5 0

The answer is: Hint

You welcome buddy

-Dominant- [34]3 years ago

4 0

Answer: Z

Step-by-step explanation: The only correct answer is Z, i used a trusted website for this, so its most likley correct.

Hope this helps!

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For what value of x is sq 896z^15/225z^6 = xz^4/15

Ratling [72]

Answer:

Value of x is, 8

Step-by-step explanation:

Given: $\sqrt{\frac{896z^{15}}{225z^6}} =\frac{xz^4}{15} \sqrt{14z}$ ,.....[1]

To find the value of x:

Using exponent rules:

$(a^n)^m = a^{nm}$

$a^n \cdot a^m = a^{n+m}$

Taking square both sides in [1] we have;

$\frac{896z^{15}}{225z^6} = (\frac{xz^4}{15})^2 \cdot (14z)$

Simplify:

$\frac{896z^{15}}{225z^6} =\frac{x^2z^8}{225} \cdot (14z)$

$\frac{896z^{15}}{225z^6} =\frac{14x^2z^9}{225}$

Multiply both sides by $\frac{225}{14z^9}$ we get;

$x^2 = \frac{896 z^{15}}{225z^6} \times \frac{225}{14 z^9} = \frac{896 z^{15}}{14 z^{9+6}}$

Simplify:

$x^2 = \frac{896 z^{15}}{14 z^{15}} = 64$

$x = \sqrt{64}$

Simplify:

x = 8

Therefore, the value of x is, 8

5 0

2 years ago

A bike wheel with a diameter of 14 inches makes 100 rotations. How far does the bike go?

mars1129 [50]

1,400 inches or 116.7 feet

4 0

3 years ago

Suppose that y varies inversely with x. Write an equation for the inverse variation. y = 6 when x = 1/3

murzikaleks [220]

Y='x'xk
6=1/3xk
K=18
Y='x'x18
Y=18x

7 0

3 years ago

Read 2 more answers

If x+ay =b and ax-by=c Then find out x , y . (with process)

n200080 [17]

Answer:

The solution of the given system of equations is,

$x=\frac{b^2+ac}{a^2+b};\; y=\frac{ab-c}{a^2+b}$

Step-by-step explanation:

The given equations are :

x + ay = b .......(1)

ax - by = c .......(2)

We will use 'Substitution Method' to solve the given system of equations.

In this method, we will find out the value of either of the two variables that is 'x' and 'y' from one of the two equations in terms of the another variable and then substitute that value in the other equation to find the value of the another variable.

Now, we will be finding out the value of 'x' in terms of 'y' from equation (1) and then substitute it in the equation (2).

Consider the equation (1), that is,

x + ay = b ⇒ x = b - ay ........(3)

Substitute the value of 'x' from (3) in (2), we get

a(b - ay) - by = c

⇒ab - a²y - by = c

⇒-a²y - by = c - ab

⇒-y(a²+b) = c - ab

⇒y(a²+b) = ab - c

$\implies y=\frac{ab-c}{a^{2}+b}$