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2 years ago

What is the value of x 3x 2x 55

Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

8 0

Answer:

Step-by-step explanation:

3x+2x+55=180

5x+55=180

5x=180-55

5x=125

X=125/5

X=25

So the value of X is 25

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Clarance has a 25% off coupon for a tune-up at Quick Service Auto Repair. If a tune-up is regularly $50, what is the sale price?

zvonat [6]

Answer:

$37.50

Step-by-step explanation:

50*.25=12.50

Take $50 - 12.50 = 37.50

7 0

2 years ago

Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work together, it takes them 2 hours. How

aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood = K hrs

So, the per hour rate of Dwight = $(\frac{1}{K})$

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood = (K- 3) hrs

So, the per hour rate of Joe = $(\frac{1}{K-3})$

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them = $(\frac{1}{2})$

⇒ Per hour rate of ( Dwight + Joe) = $(\frac{1}{2} )$

$\implies (\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})$

Now, solving for the value of K , we get:

$(\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})\\\implies \frac{(K-3) + K}{K (K-3)} = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K + 6= 0\\\implies K^2 - 6K - K + 6= 0\\\implies K(K-6) -1(K - 6)= 0\\\implies (K-6)(K-1) = 0$

Implies either K = 6 Or K = 1

But if K = 1, (K-3) = 1- 3 = -2 hours would be A CONTRADICTION.

⇒ K = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0

2 years ago

The number of views on a viral video can be modeled by the function S(t)=9600(3)^t+2. Write an equivalent function of the form S

anyanavicka [17]

Answer:

The equivalent expression would be;

S(t) = 86,400•3^t

Step-by-step explanation:

Here, we want to make a transformation

From what we have;

S(t) = 9,600(3)^(t + 2)

From indices, we know that;

x^(a + b) = x^a•x^b

Thus, we have it that;

S(t) = 9600•3^t•3^2

S(t) = (9 * 9600) * 3^t

S(t) = 86,400•3^t

8 0

3 years ago

The modulus of (3 + 4i)4 is _____. 5 20 125 625

vladimir1956 [14]

(3+4i)*4 = 3*4+4i*4 = 12+16i

The complex number 12+16i is in the form a+bi where a = 12 and b = 16

m = modulus
m = distance from (0,0) to (a,b)
m = sqrt(a^2+b^2)
m = sqrt(12^2+16^2)
m = sqrt(144+256)
m = sqrt(400)
m = 20

Answer: 20

6 0

2 years ago

An equation with no solutions 3x + 7 = X + 3

max2010maxim [7]

Answer:

X = -2

Step-by-step explanation:

Hope this helps

7 0

2 years ago