All categories

3 years ago

The reciprocal of (x-y) is z . If z = 11 , y = -3 then what is the value of x

Mathematics

1 answer:

arlik [135]3 years ago

4 0

Answer:

x=-32/11

Step-by-step explanation:

Let's solve your equation step-by-step.

1/(x+3)=11

(1/n=reciprocal of n)

Step 1: Multiply both sides by x+3.

1=11x+33

11x+33=1(Flip the equation)

11x+33−33=1−33(Subtract 33 from both sides)

11x=−32

11x/11=−32/11

(Divide both sides by 11)

x=−32/11

Check answers. (Plug them in to make sure they work.)

x=−32/11

(Works in original equation)

You might be interested in

Factor the expression x2 – 9x + 14

Anna [14]

X² - 9x + 14
x² - 2x - 7x + 14
x (x - 2) -7 (x - 2)
x - 7 =0 OR x - 2 = 0
x = 7 OR x = 2

In short, Your Roots would be 2 & 7

Hope this helps!

7 0

2 years ago

Read 2 more answers

Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a

Lady_Fox [76]

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

Explanation

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax $=(200000*0.30)dollar=60000$ dollar.

Remaining amount = $ 200000 - $ 60000 = $ 140000

Suppose, she invested $x$ dollar at 1.5% rate.

That means, she invested $(140000-x)$ dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

$0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000$

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000

5 0

3 years ago

What is log15 2^3 rewritten using the power property?

OlgaM077 [116]

ANSWER

$log_{15}( {2}^{3} ) = 3 \: log_{15}( {2} )$

EXPLANATION

According to the power property of logarithms:

$log_{x}( {y}^{n} ) = n \: log_{x}( {y} )$

The given logarithm is

$log_{15}( {2}^{3} )$

When we apply the power property to this logarithm, we get,

$log_{15}( {2}^{3} ) = 3 \: log_{15}( {2} )$

8 0

3 years ago

Read 2 more answers

3p + 4r = q solve for p

Aleksandr-060686 [28]

Answer:

$p = \dfrac{q - 4r}{3}$

Step-by-step explanation:

3p + 4r = q

3p = q - 4r

$p = \dfrac{q - 4r}{3}$

7 0

3 years ago

Read 2 more answers

How many solutions does this system have?*

sweet-ann [11.9K]

Answer:

1 solution

Step-by-step explanation:

$y = - 3 \\ y = - x - 4 \\ = > - 3 = - x - 4 \\ = > - x - 4 + 3 = 0 \\ = > - x - 1 = 0 \\ = > - x = 1 \\ = > x = - 1$

4 0

2 years ago