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3 years ago

|6a-5|=4a What are the solutions to a?

2 answers:

7 0

|6a-5|=4a

If we remove the Absolute Signs we will get:

a) 6a-5 = +4a And

b) 6a-5 = - 4a

Solve a) 6a-5 = +4a
6a - 4a = 5 → 2a=5 and a=5/2

Solve b): 6a-5 = - 4a
6a + 4a = 5 → 10a = 5 and a = 1/2

Then the solutions are : a = 5/2 and a = 1/2

Lemur [1.5K]3 years ago

5 0

2.5 is your answer, ;))))))

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The table below compares the cost of living in New York and Los Angeles,

zepelin [54]

Answer:

EXCEPT FOR HOUSING, NEW YORK SEEMS TO BE PROMINANT IN TERMS OF LIVING.

Step-by-step explanation:

THEREFORE,THE PRICE OF GAS IN NEW YORK WOULD BE MORE THANT THAT OF THE PRICE IN LA.IT WOULD BE SURLEY MORE THAN $3.

AS THE NATIONAL AVERAGE TENDS TO BE AROUND $2.75.

7 0

3 years ago

Which expressions are equivalent to the given expression?

liraira [26]

$2\sqrt{10}$ is equivalent to the expression $\sqrt{40}$

entire to mixed radical:

$\sqrt{40} \\\sqrt{4\ x\ 10} \\2\sqrt{10}$

decimal value:

$2\sqrt{10}=6.32....\\\sqrt{40}=6.32...$

3 0

2 years ago

Paula bought a ski jacket on sale for $7 less than half its original price. She paid $84 for the jacket. What was the original p

Eddi Din [679]

1/2x - 7 = 84
1/2x = 84 + 7
1/2x = 91
x = 91 / (1/2)
x = 91 * 2
x = 182 <=== original price

5 0

3 years ago

If θ is an angle in standard position that terminates in Quadrant IV such that cosθ = 3/5, then cosθ/2 = _____. -

Sveta_85 [38]

Answer:

$cos \frac{\theta}{2}= 0.894$ .

Step-by-step explanation:

Given:

$cos\ \theta= \frac35$

We need to find $cos \ \frac{\theta}{2}$

Solution:

$cos\ \theta= \frac35$

First we will find the value of $\theta$ .

Now taking $cos^{-1}$ on both side we get;

$\theta= cos^{-1} \ \frac{3}{5}\\\\\theta = 53.13$

Now we will find the $\frac{\theta}{2}$ .

$\frac{\theta}{2}$ = $\frac{53.13}{2} = 26.565$

Now we will find $cos \ \frac{\theta}{2}$ we get;

$cos \frac{\theta}{2}=cos\ 26.565 = 0.894$

Hence $cos \frac{\theta}{2}= 0.894$ .

4 0

3 years ago

Dam has been asked to post a parcel for a family member. He has been told that the parcel weighs 12 lbs 8 oz.

ira [324]

Answer:

The weight of the parcel is approximately 6 kilograms.

Step-by-step explanation:

The weight of the parcel is 12 lbs and 8 oz.

1 lb = 16 oz

So, 8 oz = lb.

That means, 12 lbs and 8 oz = (12 + 0.5) lbs = 12.5 lbs

Now, 1 lb = 454 g

So, 12.5 lbs = (12.5 × 454) g = 5675 g

As, 1 kilogram = 1000 g

That means, 1 g = 0.001 kilogram

So, 5675 g kilograms. (Rounded to the nearest whole kilogram)

Thus, the weight of the parcel is approximately 6 kilograms.

8 0

3 years ago