All categories

2 years ago

3/7 p= -6 solve for p! please help!

Mathematics

2 answers:

Stels [109]2 years ago

8 0

Hello,

p = -6 * 7 / 3 = -14

NARA [144]2 years ago

6 0

The goal is to isolate the variable p, right?

Lets write this out:

3/7 p = -6

We need to move 3/7 to the other side so that p can be isolated, lets do that.

3/7 ÷ 3/7 p = -6 ÷ 3/7

How does this work? Why did I do it to both sides?

When I divided 3/7 by 3/7 they canceled out, because whenever you divide something by itself it equals 1.

I divided -6 by 3/7 because because there is an equal sign, and a rule of thumb is that whatever you do on one side of the equation, you do to the other.

Now we have the equation:

p = -6 ÷ 3/7

therefore p = -14

Hope I was of use.

Cheers,

You might be interested in

The map distance from Dodgetown to Kidville is 2.75 cm. Find the actual distance from Dodgetown to Kidville.

Fantom [35]

The answer is:

55 km (a)

7 0

3 years ago

Read 2 more answers

Need help please asap!

erastovalidia [21]

Answer:

40 degrees

Step-by-step explanation:

90 degrees-50 degrees is equal to 90 degrees.

7 0

2 years ago

Read 2 more answers

The solution to -16 + x = -30 is -14. True False

11111nata11111 [884]

Answer:

false

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Answer the question in the picture

nekit [7.7K]

Recall the angle sum identities:

$\sin(x+y)=\sin x\cos y+\cos x\sin y$

$\cos(x+y)=\cos x\cos y-\sin x\sin y$

Now,

$\tan(x+y)=\dfrac{\sin(x+y)}{\cos(x+y)}=\dfrac{\sin x\cos y+\cos x\sin y}{\cos x\cos y-\sin x\sin y}$

Divide through numerator and denominator by $\cos x\cos y$ to get

$\tan(x+y)=\dfrac{\tan x+\tan y}{1-\tan x\tan y}$

Next, we use the fact that $x,y$ lie in the first quadrant to determine that

$\sin x=\dfrac12\implies\cos x=\sqrt{1-\sin^2x}=\dfrac{\sqrt3}2$

$\cos y=\dfrac{\sqrt2}2\implies\sin x=\sqrt{1-\cos^2x}=\dfrac1{\sqrt2}$

So we then have

$\tan x=\dfrac{\sin x}{\cos x}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

$\tan y=\dfrac{\sin y}{\cos y}=\dfrac{\frac1{\sqrt2}}{\frac{\sqrt2}2}=1$

Finally,

$\tan(x+y)=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3\approx3.73$

4 0

2 years ago

A loan of $100,000 is made today. This loan will be repaid by 10 level repayments, followed by a final smaller repayment, i.e.,

lawyer [7]

Answer:

p = $ 12521.82

Step-by-step explanation:

Interest Rate = 3.6 %, Compounding Frequency: Semi-Annual, Equivalent Annual Interest Rate $= [1+\frac{0.036}{2}]^(2) - 1 = 0.0363 or 3.63$ %

Number of Repayments is 11 with 10 being equal in magnitude and the last one being worth $ 270, the first repayment comes at the end of Year 2

Let $ p be the level payments that required. Therefore,

$100000 = p\times \frac{1}{0.0363} \times [1-\frac{1}{(1.0363)^{10}}] \times \frac{1}{(1.0363)} + \frac{270}{(1.0363)^{12}}$

100,000 - 176.01 = p x 7.972

p = $ 12521.82

7 0

3 years ago