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2 years ago

10. Subtract thefractions.20 1 / 2 - 15 1/2 =*Bonus: Reduce thefraction.

Mathematics

1 answer:

BartSMP [9]2 years ago

3 0

Answer: 5

Step-by-step explanation:

$20\frac{1}{2}-15\frac{1}{2}$

$20-15(\frac{1}{2}-\frac{1}{2})$

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How do I solve this .... question in the image. thank you

dezoksy [38]

Answer:

Below

Step-by-step explanation:

● x-20 = y+20 (1)

● 2(y-22) = x+22 (2)

This is a system of simulataneous equations

Let's simplify the expressions first

● x -20 = y + 20 (1)

Add 20 to both sides

● x -20 + 20 = y+20 +20

● x = y + 40 (1)

● 2(y-22) = x+22 (2)

● 2y - 44 = x +22

Substrat 22 from both sides

● 2y-44-22 = x+22-22

● 2y -66 = x (2)

This is the new system:

● x = y+40 (1)

● x = 2y-66 (2)

Substract (2) from (1)

● x-x = y+40-(2y-66)

● y+40-2y+66 = 0

● -y +106 = 0

● y = 106

Replace y with 106 in (1)

● x = y +40

● x = 106+40

● x = 146

So the solutions are (146,106)

8 0

2 years ago

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Solution:

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

2 years ago

Evaluate the following equation for p: -3p + 6 + 7p = 22

strojnjashka [21]

Answer:

Step-by-step explanation:

-3p+6+7p=22

-3p+7p=16

4p=16

p=4

5 0

2 years ago

Read 2 more answers

Write the phrase as a rate in simplest form. $246 for 24 packs

givi [52]

$246 / 24

= $10.25 per pack.

So the rate would be:

$10.25 : 1

Hope this helps you!

4 0

2 years ago

(n/‒7) + 3 = ‒2 explain it

iris [78.8K]

Answer:

The answers is n=35

Step-by-step explanation:

Solve for n by simplifying both sides of the equation. Then isolating the variable.

J’espère que ça aide.

5 0

2 years ago

Read 2 more answers

10. Subtract thefractions.20 1 / 2 - 15 1/2 =*Bonus: Reduce thefraction.​

10. Subtract thefractions.20 1 / 2 - 15 1/2 =*Bonus: Reduce thefraction.