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2 years ago

Which of the following ratios is equivalent to 3:4?

Mathematics

2 answers:

Lana71 [14]2 years ago

8 0

9:12 because if you multiply both sides by three it gives you 9 and 12

sveticcg [70]2 years ago

6 0

Answer:

Its A

Step-by-step explanation:

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Jan and two of her friends raised money by having a bake sale. They split the proceeds. If each person received $32.19, how much

AveGali [126]

Answer: 1. Equation =3x = M , where x = money each received and M= total money received.

2.total money from bake sale=$96.57

Step-by-step explanation:

STEP 1

Let the total money receive from proceeds be = M

and let the amount of money each receive after the split = x

Since Jan and her two friends raised the money together, the total proceeds will be calculated using the equation

x+x+x= M

3 x = M ---- Equation

STEP 2--- Solving

if 3 x= M

and x =mount of money each receive after the split=$32.19

Therefore total money from bake sale, M = 3x = 3 x 32.19 = $96.57

7 0

2 years ago

Read 2 more answers

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

585 divided by 5 is?

sertanlavr [38]

Use a calculator it’s 117

4 0

2 years ago

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Based on the graph, what are the solutions of the equation

olga_2 [115]

It's C. move all terms to the left side and set equal to zero. then set each factor equal to zero.

4 0

3 years ago

What is 644 divide by 8 times 8.

babymother [125]

644 divided by (8 x 8) (8x8) equals 61 so 644 divided 61 equals 10.557377049

4 0

3 years ago

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